From c89d76a52c183cb24a97e2af12d2093dcd60f013 Mon Sep 17 00:00:00 2001
From: Masaru Nagaso <mnsaru22@gmail.com>
Date: Tue, 20 Feb 2024 03:28:32 -0700
Subject: [PATCH 1/2] Add new Gmsh example for the latest Gmsh/Specfem2d

---
 EXAMPLES/Gmsh_updated_example/DATA/Par_file   |   438 +
 EXAMPLES/Gmsh_updated_example/DATA/SOURCE     |    57 +
 EXAMPLES/Gmsh_updated_example/DATA/STATIONS   |   245 +
 .../Gmsh_updated_example/MESH/EltPML_test     |  3929 +
 .../Gmsh_updated_example/MESH/Material_test   | 17870 ++++
 EXAMPLES/Gmsh_updated_example/MESH/Mesh_test  | 17871 ++++
 EXAMPLES/Gmsh_updated_example/MESH/Nodes_test | 72895 ++++++++++++++++
 .../Gmsh_updated_example/MESH/Surf_abs_test   |   393 +
 .../Gmsh_updated_example/MESH/Surf_free_test  |   393 +
 EXAMPLES/Gmsh_updated_example/README.md       |    26 +
 .../create_mesh_flat.ipynb                    |   426 +
 .../create_mesh_topo.ipynb                    |   459 +
 .../Gmsh_updated_example/meshio2spec2d.py     |   346 +
 .../Gmsh_updated_example/run_this_example.sh  |    83 +
 14 files changed, 115431 insertions(+)
 create mode 100644 EXAMPLES/Gmsh_updated_example/DATA/Par_file
 create mode 100644 EXAMPLES/Gmsh_updated_example/DATA/SOURCE
 create mode 100644 EXAMPLES/Gmsh_updated_example/DATA/STATIONS
 create mode 100644 EXAMPLES/Gmsh_updated_example/MESH/EltPML_test
 create mode 100644 EXAMPLES/Gmsh_updated_example/MESH/Material_test
 create mode 100644 EXAMPLES/Gmsh_updated_example/MESH/Mesh_test
 create mode 100644 EXAMPLES/Gmsh_updated_example/MESH/Nodes_test
 create mode 100644 EXAMPLES/Gmsh_updated_example/MESH/Surf_abs_test
 create mode 100644 EXAMPLES/Gmsh_updated_example/MESH/Surf_free_test
 create mode 100644 EXAMPLES/Gmsh_updated_example/README.md
 create mode 100644 EXAMPLES/Gmsh_updated_example/create_mesh_flat.ipynb
 create mode 100644 EXAMPLES/Gmsh_updated_example/create_mesh_topo.ipynb
 create mode 100644 EXAMPLES/Gmsh_updated_example/meshio2spec2d.py
 create mode 100755 EXAMPLES/Gmsh_updated_example/run_this_example.sh

diff --git a/EXAMPLES/Gmsh_updated_example/DATA/Par_file b/EXAMPLES/Gmsh_updated_example/DATA/Par_file
new file mode 100644
index 000000000..9ef817751
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/DATA/Par_file
@@ -0,0 +1,438 @@
+#-----------------------------------------------------------
+#
+# Simulation input parameters
+#
+#-----------------------------------------------------------
+
+# title of job
+title                           = MERMAIDs_test
+
+# forward or adjoint simulation
+# 1 = forward, 2 = adjoint, 3 = both simultaneously
+# note: 2 is purposely UNUSED (for compatibility with the numbering of our 3D codes)
+SIMULATION_TYPE                 = 1
+# 0 = regular wave propagation simulation, 1/2/3 = noise simulation
+NOISE_TOMOGRAPHY                = 0
+# save the last frame, needed for adjoint simulation
+SAVE_FORWARD                    = .false.
+
+# parameters concerning partitioning
+NPROC                           = 4              # number of processes
+
+# time step parameters
+# total number of time steps
+NSTEP                           = 5000
+
+# duration of a time step (see section "How to choose the time step" of the manual for how to do this)
+DT                              = 0.00598
+
+# time stepping
+# 1 = Newmark (2nd order), 2 = LDDRK4-6 (4th-order 6-stage low storage Runge-Kutta), 3 = classical RK4 4th-order 4-stage Runge-Kutta
+time_stepping_scheme            = 1
+
+# set the type of calculation (P-SV or SH/membrane waves)
+P_SV                            = .true.
+
+# axisymmetric (2.5D) or Cartesian planar (2D) simulation
+AXISYM                          = .false.
+
+#-----------------------------------------------------------
+#
+# Mesh
+#
+#-----------------------------------------------------------
+
+# Partitioning algorithm for decompose_mesh
+PARTITIONING_TYPE               = 3              # SCOTCH = 3, ascending order (very bad idea) = 1
+
+# number of control nodes per element (4 or 9)
+NGNOD                           = 9
+
+# creates/reads a binary database that allows to skip all time consuming setup steps in initialization
+# 0 = does not read/create database
+# 1 = creates database
+# 2 = reads database
+setup_with_binary_database      = 0
+
+# available models
+#   default       - define model using nbmodels below
+#   ascii         - read model from ascii database file
+#   binary        - read model from binary databse file
+#   binary_voigt  - read Voigt model from binary database file
+#   external      - define model using define_external_model subroutine
+#   gll           - read GLL model from binary database file
+#   legacy        - read model from model_velocity.dat_input
+MODEL                           = default
+
+# Output the model with the requested type, does not save if turn to default or .false.
+# (available output formats: ascii,binary,gll,legacy)
+SAVE_MODEL                      = default
+
+
+#-----------------------------------------------------------
+#
+# Attenuation
+#
+#-----------------------------------------------------------
+
+# attenuation parameters
+ATTENUATION_VISCOELASTIC        = .false.        # turn attenuation (viscoelasticity) on or off for non-poroelastic solid parts of the model
+ATTENUATION_VISCOACOUSTIC       = .false.        # turn attenuation (viscoacousticity) on or off for non-poroelastic fluid parts of the model
+
+# for viscoelastic or viscoacoustic attenuation
+N_SLS                           = 3              # number of standard linear solids for attenuation (3 is usually the minimum)
+ATTENUATION_f0_REFERENCE        = 5.196          # in case of attenuation, reference frequency in Hz at which the velocity values in the velocity model are given (unused otherwise); relevant only if source is a Dirac or a Heaviside, otherwise it is automatically set to f0 the dominant frequency of the source in the DATA/SOURCE file
+READ_VELOCITIES_AT_f0           = .false.        # read seismic velocities at ATTENUATION_f0_REFERENCE instead of at infinite frequency (see user manual for more information)
+USE_SOLVOPT                     = .false.        # use more precise but much more expensive way of determining the Q factor relaxation times, as in https://doi.org/10.1093/gji/ggw024
+
+# for poroelastic attenuation
+ATTENUATION_PORO_FLUID_PART     = .false.        # turn viscous attenuation on or off for the fluid part of poroelastic parts of the model
+Q0_poroelastic                  = 1              # quality factor for viscous attenuation (ignore it if you are not using a poroelastic material)
+freq0_poroelastic               = 10             # frequency for viscous attenuation (ignore it if you are not using a poroelastic material)
+
+# to undo attenuation and/or PMLs for sensitivity kernel calculations or forward runs with SAVE_FORWARD
+# use the flag below. It performs undoing of attenuation and/or of PMLs in an exact way for sensitivity kernel calculations
+# but requires disk space for temporary storage, and uses a significant amount of memory used as buffers for temporary storage.
+# When that option is on the second parameter indicates how often the code dumps restart files to disk (if in doubt, use something between 100 and 1000).
+UNDO_ATTENUATION_AND_OR_PML     = .false.
+NT_DUMP_ATTENUATION             = 500
+
+# Instead of reconstructing the forward wavefield, this option reads it from the disk using asynchronous I/O.
+# Outperforms conventional mode using a value of NTSTEP_BETWEEN_COMPUTE_KERNELS high enough.
+NO_BACKWARD_RECONSTRUCTION      = .false.
+
+#-----------------------------------------------------------
+#
+# Sources
+#
+#-----------------------------------------------------------
+
+# source parameters
+NSOURCES                        = 1              # number of sources (source information is then read from the DATA/SOURCE file)
+force_normal_to_surface         = .false.        # angleforce normal to surface (external mesh and curve file needed)
+
+# use an existing initial wave field as source or start from zero (medium initially at rest)
+initialfield                    = .false.
+add_Bielak_conditions_bottom    = .false.        # add Bielak conditions or not if initial plane wave
+add_Bielak_conditions_right     = .false.
+add_Bielak_conditions_top       = .false.
+add_Bielak_conditions_left      = .false.
+
+# acoustic forcing
+ACOUSTIC_FORCING                = .false.        # acoustic forcing of an acoustic medium with a rigid interface
+
+# noise simulations - type of noise source time function:
+# 0=external (S_squared), 1=Ricker(second derivative), 2=Ricker(first derivative), 3=Gaussian, 4=Figure 2a of Tromp et al. 2010
+# (default value 4 is chosen to reproduce the time function from Fig 2a of "Tromp et al., 2010, Noise Cross-Correlation Sensitivity Kernels")
+noise_source_time_function_type = 4
+
+# moving sources
+# Set write_moving_sources_database to .true. if the generation of moving source databases takes
+# a long time. Then the simulation is done in two steps: first you run the code and it writes the databases to file
+# (in DATA folder by default). Then you rerun the code and it will read the databases in there directly possibly
+# saving a lot of time.
+# This is only useful for GPU version (for now)
+write_moving_sources_database   = .false.
+
+#-----------------------------------------------------------
+#
+# Receivers
+#
+#-----------------------------------------------------------
+
+# receiver set parameters for recording stations (i.e. recording points)
+# seismotype : record 1=displ 2=veloc 3=accel 4=pressure 5=curl of displ 6=the fluid potential
+seismotype                      = 1,4              # several values can be chosen. For example : 1,2,4
+
+# interval in time steps for writing of seismograms
+# every how many time steps we save the seismograms
+# (costly, do not use a very small value; if you use a very large value that is larger than the total number
+#  of time steps of the run, the seismograms will automatically be saved once at the end of the run anyway)
+NTSTEP_BETWEEN_OUTPUT_SEISMOS   = 10000
+
+# set to n to reduce the sampling rate of output seismograms by a factor of n
+# defaults to 1, which means no down-sampling
+NTSTEP_BETWEEN_OUTPUT_SAMPLE    = 1
+
+# so far, this option can only be used if all the receivers are in acoustic elements
+USE_TRICK_FOR_BETTER_PRESSURE   = .false.
+
+# use this t0 as earliest starting time rather than the automatically calculated one
+USER_T0                         = 0.0d0
+
+# seismogram formats
+save_ASCII_seismograms          = .true.         # save seismograms in ASCII format or not
+save_binary_seismograms_single  = .true.         # save seismograms in single precision binary format or not (can be used jointly with ASCII above to save both)
+save_binary_seismograms_double  = .false.        # save seismograms in double precision binary format or not (can be used jointly with both flags above to save all)
+SU_FORMAT                       = .false.        # output single precision binary seismograms in Seismic Unix format (adjoint traces will be read in the same format)
+
+# use an existing STATION file found in ./DATA or create a new one from the receiver positions below in this Par_file
+use_existing_STATIONS           = .true.
+
+# number of receiver sets (i.e. number of receiver lines to create below)
+nreceiversets                   = 2
+
+# orientation
+anglerec                        = 0.d0           # angle to rotate components at receivers
+rec_normal_to_surface           = .false.        # base anglerec normal to surface (external mesh and curve file needed)
+
+# first receiver set (repeat these 6 lines and adjust nreceiversets accordingly)
+nrec                            = 11             # number of receivers
+xdeb                            = 300.           # first receiver x in meters
+zdeb                            = 2200.          # first receiver z in meters
+xfin                            = 3700.          # last receiver x in meters (ignored if only one receiver)
+zfin                            = 2200.          # last receiver z in meters (ignored if only one receiver)
+record_at_surface_same_vertical = .true.         # receivers inside the medium or at the surface (z values are ignored if this is set to true, they are replaced with the topography height)
+
+# second receiver set
+nrec                            = 11             # number of receivers
+xdeb                            = 2500.          # first receiver x in meters
+zdeb                            = 2500.          # first receiver z in meters
+xfin                            = 2500.          # last receiver x in meters (ignored if only one receiver)
+zfin                            = 0.             # last receiver z in meters (ignored if only one receiver)
+record_at_surface_same_vertical = .false.        # receivers inside the medium or at the surface (z values are ignored if this is set to true, they are replaced with the topography height)
+
+
+#-----------------------------------------------------------
+#
+# adjoint kernel outputs
+#
+#-----------------------------------------------------------
+
+# save sensitivity kernels in ASCII format (much bigger files, but compatible with current GMT scripts) or in binary format
+save_ASCII_kernels              = .true.
+
+# since the accuracy of kernel integration may not need to respect the CFL, this option permits to save computing time, and memory with UNDO_ATTENUATION_AND_OR_PML mode
+NTSTEP_BETWEEN_COMPUTE_KERNELS  = 1
+
+# outputs approximate Hessian for preconditioning
+APPROXIMATE_HESS_KL             = .false.
+
+#-----------------------------------------------------------
+#
+# Boundary conditions
+#
+#-----------------------------------------------------------
+
+# Perfectly Matched Layer (PML) boundaries
+# absorbing boundary active or not
+PML_BOUNDARY_CONDITIONS         = .true.
+NELEM_PML_THICKNESS             = 3
+ROTATE_PML_ACTIVATE             = .false.
+ROTATE_PML_ANGLE                = 30.
+# change the four parameters below only if you know what you are doing; they change the damping profiles inside the PMLs
+K_MIN_PML                       = 1.0d0          # from Gedney page 8.11
+K_MAX_PML                       = 1.0d0
+damping_change_factor_acoustic  = 0.5d0
+damping_change_factor_elastic   = 1.0d0
+# set the parameter below to .false. unless you know what you are doing; this implements automatic adjustment of the PML parameters for elongated models.
+# The goal is to improve the absorbing efficiency of PML for waves with large incidence angles, but this can lead to artefacts.
+# In particular, this option is efficient only when the number of sources NSOURCES is equal to one.
+PML_PARAMETER_ADJUSTMENT        = .false.
+
+# Stacey ABC
+STACEY_ABSORBING_CONDITIONS     = .false.
+
+# periodic boundaries
+ADD_PERIODIC_CONDITIONS         = .false.
+PERIODIC_HORIZ_DIST             = 4000.d0
+
+#-----------------------------------------------------------
+#
+# Velocity and density models
+#
+#-----------------------------------------------------------
+
+# number of model materials
+nbmodels                        = 2
+# available material types (see user manual for more information)
+#   acoustic:              model_number 1 rho Vp 0  0 0 QKappa 9999 0 0 0 0 0 0 (for QKappa use 9999 to ignore it)
+#   elastic:               model_number 1 rho Vp Vs 0 0 QKappa Qmu  0 0 0 0 0 0 (for QKappa and Qmu use 9999 to ignore them)
+#   anisotropic:           model_number 2 rho c11 c13 c15 c33 c35 c55 c12 c23 c25   0 QKappa Qmu
+#   anisotropic in AXISYM: model_number 2 rho c11 c13 c15 c33 c35 c55 c12 c23 c25 c22 QKappa Qmu
+#   poroelastic:           model_number 3 rhos rhof phi c kxx kxz kzz Ks Kf Kfr etaf mufr Qmu
+#   tomo:                  model_number -1 0 0 A 0 0 0 0 0 0 0 0 0 0
+#
+# note: When viscoelasticity or viscoacousticity is turned on,
+#       the Vp and Vs values that are read here are the UNRELAXED ones i.e. the values at infinite frequency
+#       unless the READ_VELOCITIES_AT_f0 parameter above is set to true, in which case they are the values at frequency f0.
+#
+#       Please also note that Qmu is always equal to Qs, but Qkappa is in general not equal to Qp.
+#       To convert one to the other see doc/Qkappa_Qmu_versus_Qp_Qs_relationship_in_2D_plane_strain.pdf and
+#       utils/attenuation/conversion_from_Qkappa_Qmu_to_Qp_Qs_from_Dahlen_Tromp_959_960.f90.
+
+#  1 subsurface, 2 water
+1 1 1850.d0 2400.d0 1200.d0 0 0 9999 9999 0 0 0 0 0 0
+2 1 1020.d0 1500.d0 0 0 0 9999 9999 0 0 0 0 0 0
+#3 1 2200.d0 2500.d0 1443.375d0 0 0 9999 9999 0 0 0 0 0 0
+#4 1 2200.d0 2200.d0 1343.375d0 0 0 9999 9999 0 0 0 0 0 0
+
+# external tomography file
+TOMOGRAPHY_FILE                 = ./DATA/tomo_file.xyz
+
+# use an external mesh created by an external meshing tool or use the internal mesher
+read_external_mesh              = .true.
+
+#-----------------------------------------------------------
+#
+# PARAMETERS FOR EXTERNAL MESHING
+#
+#-----------------------------------------------------------
+
+# data concerning mesh, when generated using third-party app (more info in README)
+# (see also absorbing_conditions above)
+mesh_file                       = ./MESH/Mesh_test          # file containing the mesh
+nodes_coords_file               = ./MESH/Nodes_test  # file containing the nodes coordinates
+materials_file                  = ./MESH/Material_test     # file containing the material number for each element
+free_surface_file               = ./MESH/Surf_free_test  # file containing the free surface
+axial_elements_file             = dummy   # file containing the axial elements if AXISYM is true
+absorbing_surface_file          = ./MESH/Surf_abs_test   # file containing the absorbing surface
+acoustic_forcing_surface_file   = dummy   # file containing the acoustic forcing surface
+absorbing_cpml_file             = ./MESH/EltPML_test  # file containing the CPML element numbers
+tangential_detection_curve_file = dummy  # file containing the curve delimiting the velocity model
+
+#-----------------------------------------------------------
+#
+# PARAMETERS FOR INTERNAL MESHING
+#
+#-----------------------------------------------------------
+
+# file containing interfaces for internal mesh
+interfacesfile                  = ./interfaces.dat
+
+# geometry of the model (origin lower-left corner = 0,0) and mesh description
+xmin                            = 0.d0           # abscissa of left side of the model
+xmax                            = 100000.d0        # abscissa of right side of the model
+nx                              = 1333             # number of elements along X
+
+# absorbing boundary parameters (see absorbing_conditions above)
+absorbbottom                    = .true.
+absorbright                     = .true.
+absorbtop                       = .false.
+absorbleft                      = .true.
+
+# define the different regions of the model in the (nx,nz) spectral-element mesh
+nbregions                       = 2              # then set below the different regions and model number for each region
+# format of each line: nxmin nxmax nzmin nzmax material_number
+1 1333 1 213 1
+1 1333 214 255 2
+
+#-----------------------------------------------------------
+#
+# Display parameters
+#
+#-----------------------------------------------------------
+
+# interval at which we output time step info and max of norm of displacement
+# (every how many time steps we display information about the simulation. costly, do not use a very small value)
+NTSTEP_BETWEEN_OUTPUT_INFO      = 1000
+
+# meshing output
+output_grid_Gnuplot             = .false.        # generate a GNUPLOT file containing the grid, and a script to plot it
+output_grid_ASCII               = .false.        # dump the grid in an ASCII text file consisting of a set of X,Y,Z points or not
+
+# to plot total energy curves, for instance to monitor how CPML absorbing layers behave;
+# should be turned OFF in most cases because a bit expensive
+OUTPUT_ENERGY                   = .false.
+
+# every how many time steps we compute energy (which is a bit expensive to compute)
+NTSTEP_BETWEEN_OUTPUT_ENERGY    = 10
+
+# Compute the field int_0^t v^2 dt for a set of GLL points and write it to file. Use
+# the script utils/visualisation/plotIntegratedEnergyFile.py to watch. It is refreshed at the same time than the seismograms
+COMPUTE_INTEGRATED_ENERGY_FIELD = .false.
+
+#-----------------------------------------------------------
+#
+# Movies/images/snaphots visualizations
+#
+#-----------------------------------------------------------
+
+# every how many time steps we draw JPEG or PostScript pictures of the simulation
+# and/or we dump results of the simulation as ASCII or binary files (costly, do not use a very small value)
+NTSTEP_BETWEEN_OUTPUT_IMAGES    = 300
+
+# minimum amplitude kept in % for the JPEG and PostScript snapshots; amplitudes below that are muted
+cutsnaps                        = 1.
+
+#### for JPEG color images ####
+output_color_image              = .true.         # output JPEG color image of the results every NTSTEP_BETWEEN_OUTPUT_IMAGES time steps or not
+imagetype_JPEG                  = 3              # display 1=displ_Ux 2=displ_Uz 3=displ_norm 4=veloc_Vx 5=veloc_Vz 6=veloc_norm 7=accel_Ax 8=accel_Az 9=accel_norm 10=pressure
+factor_subsample_image          = 1.0d0          # (double precision) factor to subsample or oversample (if set to e.g. 0.5) color images output by the code (useful for very large models, or to get nicer looking denser pictures)
+USE_CONSTANT_MAX_AMPLITUDE      = .false.        # by default the code normalizes each image independently to its maximum; use this option to use the global maximum below instead
+CONSTANT_MAX_AMPLITUDE_TO_USE   = 1.17d4         # constant maximum amplitude to use for all color images if the above USE_CONSTANT_MAX_AMPLITUDE option is true
+POWER_DISPLAY_COLOR             = 0.30d0         # non linear display to enhance small amplitudes in JPEG color images
+DRAW_SOURCES_AND_RECEIVERS      = .true.         # display sources as orange crosses and receivers as green squares in JPEG images or not
+DRAW_WATER_IN_BLUE              = .true.         # display acoustic layers as constant blue in JPEG images, because they likely correspond to water in the case of ocean acoustics or in the case of offshore oil industry experiments (if off, display them as greyscale, as for elastic or poroelastic elements, for instance for acoustic-only oil industry models of solid media)
+USE_SNAPSHOT_NUMBER_IN_FILENAME = .false.        # use snapshot number in the file name of JPEG color snapshots instead of the time step (for instance to create movies in an easier way later)
+
+#### for PostScript snapshots ####
+output_postscript_snapshot      = .false.         # output Postscript snapshot of the results every NTSTEP_BETWEEN_OUTPUT_IMAGES time steps or not
+imagetype_postscript            = 1              # display 1=displ vector 2=veloc vector 3=accel vector; small arrows are displayed for the vectors
+meshvect                        = .true.         # display mesh on PostScript plots or not
+modelvect                       = .false.        # display velocity model on PostScript plots or not
+boundvect                       = .true.         # display boundary conditions on PostScript plots or not
+interpol                        = .true.         # interpolation of the PostScript display on a regular grid inside each spectral element, or use the non-evenly spaced GLL points
+pointsdisp                      = 6              # number of points in each direction for interpolation of PostScript snapshots (set to 1 for lower-left corner only)
+subsamp_postscript              = 1              # subsampling of background velocity model in PostScript snapshots
+sizemax_arrows                  = 1.d0           # maximum size of arrows on PostScript plots in centimeters
+US_LETTER                       = .false.        # use US letter or European A4 paper for PostScript plots
+
+#### for wavefield dumps ####
+output_wavefield_dumps          = .false.        # output wave field to a text file (creates very big files)
+imagetype_wavefield_dumps       = 1              # display 1=displ vector 2=veloc vector 3=accel vector 4=pressure
+use_binary_for_wavefield_dumps  = .false.        # use ASCII or single-precision binary format for the wave field dumps
+
+#-----------------------------------------------------------
+
+# Ability to run several calculations (several earthquakes)
+# in an embarrassingly-parallel fashion from within the same run;
+# this can be useful when using a very large supercomputer to compute
+# many earthquakes in a catalog, in which case it can be better from
+# a batch job submission point of view to start fewer and much larger jobs,
+# each of them computing several earthquakes in parallel.
+# To turn that option on, set parameter NUMBER_OF_SIMULTANEOUS_RUNS to a value greater than 1.
+# To implement that, we create NUMBER_OF_SIMULTANEOUS_RUNS MPI sub-communicators,
+# each of them being labeled "my_local_mpi_comm_world", and we use them
+# in all the routines in "src/shared/parallel.f90", except in MPI_ABORT() because in that case
+# we need to kill the entire run.
+# When that option is on, of course the number of processor cores used to start
+# the code in the batch system must be a multiple of NUMBER_OF_SIMULTANEOUS_RUNS,
+# all the individual runs must use the same number of processor cores,
+# which as usual is NPROC in the Par_file,
+# and thus the total number of processor cores to request from the batch system
+# should be NUMBER_OF_SIMULTANEOUS_RUNS * NPROC.
+# All the runs to perform must be placed in directories called run0001, run0002, run0003 and so on
+# (with exactly four digits).
+#
+# Imagine you have 10 independent calculations to do, each of them on 100 cores; you have three options:
+#
+# 1/ submit 10 jobs to the batch system
+#
+# 2/ submit a single job on 1000 cores to the batch, and in that script create a sub-array of jobs to start 10 jobs,
+# each running on 100 cores (see e.g. http://www.schedmd.com/slurmdocs/job_array.html )
+#
+# 3/ submit a single job on 1000 cores to the batch, start SPECFEM2D on 1000 cores, create 10 sub-communicators,
+# cd into one of 10 subdirectories (called e.g. run0001, run0002,... run0010) depending on the sub-communicator
+# your MPI rank belongs to, and run normally on 100 cores using that sub-communicator.
+#
+# The option below implements 3/.
+#
+NUMBER_OF_SIMULTANEOUS_RUNS     = 1
+
+# if we perform simultaneous runs in parallel, if only the source and receivers vary between these runs
+# but not the mesh nor the model (velocity and density) then we can also read the mesh and model files
+# from a single run in the beginning and broadcast them to all the others; for a large number of simultaneous
+# runs for instance when solving inverse problems iteratively this can DRASTICALLY reduce I/Os to disk in the solver
+# (by a factor equal to NUMBER_OF_SIMULTANEOUS_RUNS), and reducing I/Os is crucial in the case of huge runs.
+# Thus, always set this option to .true. if the mesh and the model are the same for all simultaneous runs.
+# In that case there is no need to duplicate the mesh and model file database (the content of the DATABASES_MPI
+# directories) in each of the run0001, run0002,... directories, it is sufficient to have one in run0001
+# and the code will broadcast it to the others)
+BROADCAST_SAME_MESH_AND_MODEL   = .true.
+
+#-----------------------------------------------------------
+
+# set to true to use GPUs
+GPU_MODE                        = .false.
+
diff --git a/EXAMPLES/Gmsh_updated_example/DATA/SOURCE b/EXAMPLES/Gmsh_updated_example/DATA/SOURCE
new file mode 100644
index 000000000..f9dbfc273
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/DATA/SOURCE
@@ -0,0 +1,57 @@
+## Source 1
+source_surf                     = .false.        # source inside the medium, or source automatically moved exactly at the surface by the solver
+xs                              = 7000.0
+zs                              = 10000.0
+## Source type parameters:
+#  1 = elastic force or acoustic pressure
+#  2 = moment tensor
+# or Initial field type (when initialfield set in Par_file):
+# For a plane wave including converted and reflected waves at the free surface:
+#  1 = P wave,
+#  2 = S wave,
+#  3 = Rayleigh wave
+# For a plane wave without converted nor reflected waves at the free surface, i.e. with the incident wave only:
+#  4 = P wave,
+#  5 = S wave
+# For initial mode displacement:
+#  6 = mode (2,3) of a rectangular membrane
+source_type                     = 1
+# Source time function:
+# In the case of a source located in an acoustic medium,
+# to get pressure for a Ricker in the seismograms, here we need to select a Gaussian for the potential Chi
+# used as a source, rather than a Ricker, because pressure = - Chi_dot_dot.
+# This is true both when USE_TRICK_FOR_BETTER_PRESSURE is set to .true. or to .false.
+# Options:
+#  1 = second derivative of a Gaussian (a.k.a. Ricker),
+#  2 = first derivative of a Gaussian,
+#  3 = Gaussian,
+#  4 = Dirac,
+#  5 = Heaviside (4 and 5 will produce noisy recordings because of frequencies above the mesh resolution limit),
+#  6 = ocean acoustics type I,
+#  7 = ocean acoustics type II,
+#  8 = external source time function = 8 (source read from file),
+#  9 = burst,
+# 10 = Sinus source time function,
+# 11 = Marmousi Ormsby wavelet
+time_function_type              = 1
+# If time_function_type == 8, enter below the custom source file to read (two columns file with time and amplitude) :
+# (For the moment dt must be equal to the dt of the simulation. File name cannot exceed 150 characters)
+# IMPORTANT: do NOT put quote signs around the file name, just put the file name itself otherwise the run will stop
+name_of_source_file             = DUMMY
+burst_band_width                = 0.             # Only for option 9 : band width of the burst
+f0                              = 0.678
+tshift                          = 0.0            # time shift when multi sources (if one source, must be zero)
+## Force source
+# angle of the source (for a force only); for a plane wave, this is the incidence angle; for moment tensor sources this is unused
+anglesource                     = 90.
+## Moment tensor
+# The components of a moment tensor source must be given in N.m, not in dyne.cm as in the DATA/CMTSOLUTION source file of the 3D version of the code.
+Mxx                             = 1.             # Mxx component (for a moment tensor source only)
+Mzz                             = 1.             # Mzz component (for a moment tensor source only)
+Mxz                             = 0.             # Mxz component (for a moment tensor source only)
+## Amplification (factor to amplify source time function)
+factor                          = 1.d10          # amplification factor
+## Moving source parameters
+vx                              = 0.0            # Horizontal source velocity (m/s)
+vz                              = 0.0            # Vertical source velocity (m/s)
+
diff --git a/EXAMPLES/Gmsh_updated_example/DATA/STATIONS b/EXAMPLES/Gmsh_updated_example/DATA/STATIONS
new file mode 100644
index 000000000..19abdf7ca
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/DATA/STATIONS
@@ -0,0 +1,245 @@
+x_0	z_0	2000.0	16000.0	0.0	0.0
+x_0	z_1	2000.0	17000.0	0.0	0.0
+x_0	z_2	2000.0	18000.0	0.0	0.0
+x_0	z_3	2000.0	19000.0	0.0	0.0
+x_0	z_4	2000.0	20000.0	0.0	0.0
+x_1	z_0	4000.0	16000.0	0.0	0.0
+x_1	z_1	4000.0	17000.0	0.0	0.0
+x_1	z_2	4000.0	18000.0	0.0	0.0
+x_1	z_3	4000.0	19000.0	0.0	0.0
+x_1	z_4	4000.0	20000.0	0.0	0.0
+x_2	z_0	6000.0	16000.0	0.0	0.0
+x_2	z_1	6000.0	17000.0	0.0	0.0
+x_2	z_2	6000.0	18000.0	0.0	0.0
+x_2	z_3	6000.0	19000.0	0.0	0.0
+x_2	z_4	6000.0	20000.0	0.0	0.0
+x_3	z_0	8000.0	16000.0	0.0	0.0
+x_3	z_1	8000.0	17000.0	0.0	0.0
+x_3	z_2	8000.0	18000.0	0.0	0.0
+x_3	z_3	8000.0	19000.0	0.0	0.0
+x_3	z_4	8000.0	20000.0	0.0	0.0
+x_4	z_0	10000.0	16000.0	0.0	0.0
+x_4	z_1	10000.0	17000.0	0.0	0.0
+x_4	z_2	10000.0	18000.0	0.0	0.0
+x_4	z_3	10000.0	19000.0	0.0	0.0
+x_4	z_4	10000.0	20000.0	0.0	0.0
+x_5	z_0	12000.0	16000.0	0.0	0.0
+x_5	z_1	12000.0	17000.0	0.0	0.0
+x_5	z_2	12000.0	18000.0	0.0	0.0
+x_5	z_3	12000.0	19000.0	0.0	0.0
+x_5	z_4	12000.0	20000.0	0.0	0.0
+x_6	z_0	14000.0	16000.0	0.0	0.0
+x_6	z_1	14000.0	17000.0	0.0	0.0
+x_6	z_2	14000.0	18000.0	0.0	0.0
+x_6	z_3	14000.0	19000.0	0.0	0.0
+x_6	z_4	14000.0	20000.0	0.0	0.0
+x_7	z_0	16000.0	16000.0	0.0	0.0
+x_7	z_1	16000.0	17000.0	0.0	0.0
+x_7	z_2	16000.0	18000.0	0.0	0.0
+x_7	z_3	16000.0	19000.0	0.0	0.0
+x_7	z_4	16000.0	20000.0	0.0	0.0
+x_8	z_0	18000.0	16000.0	0.0	0.0
+x_8	z_1	18000.0	17000.0	0.0	0.0
+x_8	z_2	18000.0	18000.0	0.0	0.0
+x_8	z_3	18000.0	19000.0	0.0	0.0
+x_8	z_4	18000.0	20000.0	0.0	0.0
+x_9	z_0	20000.0	16000.0	0.0	0.0
+x_9	z_1	20000.0	17000.0	0.0	0.0
+x_9	z_2	20000.0	18000.0	0.0	0.0
+x_9	z_3	20000.0	19000.0	0.0	0.0
+x_9	z_4	20000.0	20000.0	0.0	0.0
+x_10	z_0	22000.0	16000.0	0.0	0.0
+x_10	z_1	22000.0	17000.0	0.0	0.0
+x_10	z_2	22000.0	18000.0	0.0	0.0
+x_10	z_3	22000.0	19000.0	0.0	0.0
+x_10	z_4	22000.0	20000.0	0.0	0.0
+x_11	z_0	24000.0	16000.0	0.0	0.0
+x_11	z_1	24000.0	17000.0	0.0	0.0
+x_11	z_2	24000.0	18000.0	0.0	0.0
+x_11	z_3	24000.0	19000.0	0.0	0.0
+x_11	z_4	24000.0	20000.0	0.0	0.0
+x_12	z_0	26000.0	16000.0	0.0	0.0
+x_12	z_1	26000.0	17000.0	0.0	0.0
+x_12	z_2	26000.0	18000.0	0.0	0.0
+x_12	z_3	26000.0	19000.0	0.0	0.0
+x_12	z_4	26000.0	20000.0	0.0	0.0
+x_13	z_0	28000.0	16000.0	0.0	0.0
+x_13	z_1	28000.0	17000.0	0.0	0.0
+x_13	z_2	28000.0	18000.0	0.0	0.0
+x_13	z_3	28000.0	19000.0	0.0	0.0
+x_13	z_4	28000.0	20000.0	0.0	0.0
+x_14	z_0	30000.0	16000.0	0.0	0.0
+x_14	z_1	30000.0	17000.0	0.0	0.0
+x_14	z_2	30000.0	18000.0	0.0	0.0
+x_14	z_3	30000.0	19000.0	0.0	0.0
+x_14	z_4	30000.0	20000.0	0.0	0.0
+x_15	z_0	32000.0	16000.0	0.0	0.0
+x_15	z_1	32000.0	17000.0	0.0	0.0
+x_15	z_2	32000.0	18000.0	0.0	0.0
+x_15	z_3	32000.0	19000.0	0.0	0.0
+x_15	z_4	32000.0	20000.0	0.0	0.0
+x_16	z_0	34000.0	16000.0	0.0	0.0
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+x_16	z_2	34000.0	18000.0	0.0	0.0
+x_16	z_3	34000.0	19000.0	0.0	0.0
+x_16	z_4	34000.0	20000.0	0.0	0.0
+x_17	z_0	36000.0	16000.0	0.0	0.0
+x_17	z_1	36000.0	17000.0	0.0	0.0
+x_17	z_2	36000.0	18000.0	0.0	0.0
+x_17	z_3	36000.0	19000.0	0.0	0.0
+x_17	z_4	36000.0	20000.0	0.0	0.0
+x_18	z_0	38000.0	16000.0	0.0	0.0
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+x_18	z_2	38000.0	18000.0	0.0	0.0
+x_18	z_3	38000.0	19000.0	0.0	0.0
+x_18	z_4	38000.0	20000.0	0.0	0.0
+x_19	z_0	40000.0	16000.0	0.0	0.0
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+x_19	z_2	40000.0	18000.0	0.0	0.0
+x_19	z_3	40000.0	19000.0	0.0	0.0
+x_19	z_4	40000.0	20000.0	0.0	0.0
+x_20	z_0	42000.0	16000.0	0.0	0.0
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+x_20	z_2	42000.0	18000.0	0.0	0.0
+x_20	z_3	42000.0	19000.0	0.0	0.0
+x_20	z_4	42000.0	20000.0	0.0	0.0
+x_21	z_0	44000.0	16000.0	0.0	0.0
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+x_21	z_2	44000.0	18000.0	0.0	0.0
+x_21	z_3	44000.0	19000.0	0.0	0.0
+x_21	z_4	44000.0	20000.0	0.0	0.0
+x_22	z_0	46000.0	16000.0	0.0	0.0
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+x_22	z_2	46000.0	18000.0	0.0	0.0
+x_22	z_3	46000.0	19000.0	0.0	0.0
+x_22	z_4	46000.0	20000.0	0.0	0.0
+x_23	z_0	48000.0	16000.0	0.0	0.0
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+x_23	z_3	48000.0	19000.0	0.0	0.0
+x_23	z_4	48000.0	20000.0	0.0	0.0
+x_24	z_0	50000.0	16000.0	0.0	0.0
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+x_24	z_2	50000.0	18000.0	0.0	0.0
+x_24	z_3	50000.0	19000.0	0.0	0.0
+x_24	z_4	50000.0	20000.0	0.0	0.0
+x_25	z_0	52000.0	16000.0	0.0	0.0
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+x_25	z_2	52000.0	18000.0	0.0	0.0
+x_25	z_3	52000.0	19000.0	0.0	0.0
+x_25	z_4	52000.0	20000.0	0.0	0.0
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+x_26	z_2	54000.0	18000.0	0.0	0.0
+x_26	z_3	54000.0	19000.0	0.0	0.0
+x_26	z_4	54000.0	20000.0	0.0	0.0
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+x_27	z_3	56000.0	19000.0	0.0	0.0
+x_27	z_4	56000.0	20000.0	0.0	0.0
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+x_28	z_3	58000.0	19000.0	0.0	0.0
+x_28	z_4	58000.0	20000.0	0.0	0.0
+x_29	z_0	60000.0	16000.0	0.0	0.0
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+x_29	z_2	60000.0	18000.0	0.0	0.0
+x_29	z_3	60000.0	19000.0	0.0	0.0
+x_29	z_4	60000.0	20000.0	0.0	0.0
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+x_30	z_3	62000.0	19000.0	0.0	0.0
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+x_31	z_3	64000.0	19000.0	0.0	0.0
+x_31	z_4	64000.0	20000.0	0.0	0.0
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+x_34	z_3	70000.0	19000.0	0.0	0.0
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+x_35	z_3	72000.0	19000.0	0.0	0.0
+x_35	z_4	72000.0	20000.0	0.0	0.0
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+x_36	z_3	74000.0	19000.0	0.0	0.0
+x_36	z_4	74000.0	20000.0	0.0	0.0
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+x_37	z_2	76000.0	18000.0	0.0	0.0
+x_37	z_3	76000.0	19000.0	0.0	0.0
+x_37	z_4	76000.0	20000.0	0.0	0.0
+x_38	z_0	78000.0	16000.0	0.0	0.0
+x_38	z_1	78000.0	17000.0	0.0	0.0
+x_38	z_2	78000.0	18000.0	0.0	0.0
+x_38	z_3	78000.0	19000.0	0.0	0.0
+x_38	z_4	78000.0	20000.0	0.0	0.0
+x_39	z_0	80000.0	16000.0	0.0	0.0
+x_39	z_1	80000.0	17000.0	0.0	0.0
+x_39	z_2	80000.0	18000.0	0.0	0.0
+x_39	z_3	80000.0	19000.0	0.0	0.0
+x_39	z_4	80000.0	20000.0	0.0	0.0
+x_40	z_0	82000.0	16000.0	0.0	0.0
+x_40	z_1	82000.0	17000.0	0.0	0.0
+x_40	z_2	82000.0	18000.0	0.0	0.0
+x_40	z_3	82000.0	19000.0	0.0	0.0
+x_40	z_4	82000.0	20000.0	0.0	0.0
+x_41	z_0	84000.0	16000.0	0.0	0.0
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+x_41	z_3	84000.0	19000.0	0.0	0.0
+x_41	z_4	84000.0	20000.0	0.0	0.0
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+x_42	z_3	86000.0	19000.0	0.0	0.0
+x_42	z_4	86000.0	20000.0	0.0	0.0
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+x_43	z_3	88000.0	19000.0	0.0	0.0
+x_43	z_4	88000.0	20000.0	0.0	0.0
+x_44	z_0	90000.0	16000.0	0.0	0.0
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+x_44	z_2	90000.0	18000.0	0.0	0.0
+x_44	z_3	90000.0	19000.0	0.0	0.0
+x_44	z_4	90000.0	20000.0	0.0	0.0
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+x_45	z_2	92000.0	18000.0	0.0	0.0
+x_45	z_3	92000.0	19000.0	0.0	0.0
+x_45	z_4	92000.0	20000.0	0.0	0.0
+x_46	z_0	94000.0	16000.0	0.0	0.0
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+x_46	z_2	94000.0	18000.0	0.0	0.0
+x_46	z_3	94000.0	19000.0	0.0	0.0
+x_46	z_4	94000.0	20000.0	0.0	0.0
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+x_47	z_1	96000.0	17000.0	0.0	0.0
+x_47	z_2	96000.0	18000.0	0.0	0.0
+x_47	z_3	96000.0	19000.0	0.0	0.0
+x_47	z_4	96000.0	20000.0	0.0	0.0
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+x_48	z_1	98000.0	17000.0	0.0	0.0
+x_48	z_2	98000.0	18000.0	0.0	0.0
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+x_48	z_4	98000.0	20000.0	0.0	0.0
diff --git a/EXAMPLES/Gmsh_updated_example/MESH/EltPML_test b/EXAMPLES/Gmsh_updated_example/MESH/EltPML_test
new file mode 100644
index 000000000..bcdd8eab3
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/MESH/EltPML_test
@@ -0,0 +1,3929 @@
+1964
+17306 1
+
+17307 1
+
+17308 1
+
+17309 1
+
+17310 1
+
+17311 1
+
+17312 1
+
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diff --git a/EXAMPLES/Gmsh_updated_example/MESH/Material_test b/EXAMPLES/Gmsh_updated_example/MESH/Material_test
new file mode 100644
index 000000000..b8f6c4474
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/MESH/Material_test
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diff --git a/EXAMPLES/Gmsh_updated_example/MESH/Mesh_test b/EXAMPLES/Gmsh_updated_example/MESH/Mesh_test
new file mode 100644
index 000000000..2b2560ba8
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/MESH/Mesh_test
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diff --git a/EXAMPLES/Gmsh_updated_example/MESH/Nodes_test b/EXAMPLES/Gmsh_updated_example/MESH/Nodes_test
new file mode 100644
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diff --git a/EXAMPLES/Gmsh_updated_example/MESH/Surf_abs_test b/EXAMPLES/Gmsh_updated_example/MESH/Surf_abs_test
new file mode 100644
index 000000000..835f7f287
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/MESH/Surf_abs_test
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diff --git a/EXAMPLES/Gmsh_updated_example/MESH/Surf_free_test b/EXAMPLES/Gmsh_updated_example/MESH/Surf_free_test
new file mode 100644
index 000000000..367918dfd
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/MESH/Surf_free_test
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diff --git a/EXAMPLES/Gmsh_updated_example/README.md b/EXAMPLES/Gmsh_updated_example/README.md
new file mode 100644
index 000000000..cf7773198
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/README.md
@@ -0,0 +1,26 @@
+# Updated example to use Gmsh as the external mesher
+
+This is an example for showing how to create external mesh files for the latest Gmsh and Specfem2D.
+
+## Requirement
+- Gmsh 4.0.0 or later (Python API is required)
+- pygmsh
+- meshio
+- numba
+
+With the following command, you can install the required packages.
+```bash
+pip install gmsh pygmsh meshio numba
+```
+
+## Usage
+The ipython notebook `create_mesh_flat.ipynb` shows how to create a mesh file with pygmsh. The created mesh is converted h5+xdmf file with meshio. This file can be visualized with Paraview.
+`create_mesh_topo.ipynb` shows how to create a mesh file with curved boundary.
+
+After creating the mesh files in MESH directory, you can run the simulation with the following command.
+```bash
+./run_this_example.sh
+```
+
+## Note
+A python class `Meshio2Specfem` is defined in `meshio2specfem.py`. This class is used to convert the meshio object to the format of Specfem2D.
\ No newline at end of file
diff --git a/EXAMPLES/Gmsh_updated_example/create_mesh_flat.ipynb b/EXAMPLES/Gmsh_updated_example/create_mesh_flat.ipynb
new file mode 100644
index 000000000..9f8354910
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/create_mesh_flat.ipynb
@@ -0,0 +1,426 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Info    : Meshing 1D...\n",
+      "Info    : [  0%] Meshing curve 1 (Line)\n",
+      "Info    : [ 10%] Meshing curve 2 (Line)\n",
+      "Info    : [ 10%] Meshing curve 3 (Line)\n",
+      "Info    : [ 20%] Meshing curve 4 (Line)\n",
+      "Info    : [ 20%] Meshing curve 5 (Line)\n",
+      "Info    : [ 30%] Meshing curve 6 (Line)\n",
+      "Info    : [ 30%] Meshing curve 7 (Line)\n",
+      "Info    : [ 30%] Meshing curve 8 (Line)\n",
+      "Info    : [ 40%] Meshing curve 9 (Line)\n",
+      "Info    : [ 40%] Meshing curve 10 (Line)\n",
+      "Info    : [ 50%] Meshing curve 11 (Line)\n",
+      "Info    : [ 50%] Meshing curve 12 (Line)\n",
+      "Info    : [ 50%] Meshing curve 13 (Line)\n",
+      "Info    : [ 60%] Meshing curve 14 (Line)\n",
+      "Info    : [ 60%] Meshing curve 15 (Line)\n",
+      "Info    : [ 70%] Meshing curve 16 (Line)\n",
+      "Info    : [ 70%] Meshing curve 17 (Line)\n",
+      "Info    : [ 80%] Meshing curve 18 (Line)\n",
+      "Info    : [ 80%] Meshing curve 19 (Line)\n",
+      "Info    : [ 80%] Meshing curve 20 (Line)\n",
+      "Info    : [ 90%] Meshing curve 21 (Line)\n",
+      "Info    : [ 90%] Meshing curve 22 (Line)\n",
+      "Info    : [100%] Meshing curve 23 (Line)\n",
+      "Info    : [100%] Meshing curve 24 (Line)\n",
+      "Info    : Done meshing 1D (Wall 0.00479405s, CPU 0.007197s)\n",
+      "Info    : Meshing 2D...\n",
+      "Info    : [  0%] Meshing surface 1 (Plane, Frontal-Delaunay)\n",
+      "Info    : [  0%] Blossom: 40035 internal 624 closed\n",
+      "Info    : [  0%] Blossom recombination completed (Wall 4.43687s, CPU 4.42906s): 13384 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.814692, min Q = 0.485156\n",
+      "Info    : [ 20%] Meshing surface 2 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 20%] Blossom: 7478 internal 488 closed\n",
+      "Info    : [ 20%] Blossom recombination completed (Wall 0.193313s, CPU 0.19465s): 2536 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.794224, min Q = 0.413601\n",
+      "Info    : [ 30%] Meshing surface 3 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 30%] Blossom: 3898 internal 544 closed\n",
+      "Info    : [ 30%] Blossom recombination completed (Wall 0.0821393s, CPU 0.082301s): 1368 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.809861, min Q = 0.478976\n",
+      "Info    : [ 40%] Meshing surface 4 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 40%] Blossom: 55 internal 16 closed\n",
+      "Info    : [ 40%] Blossom recombination completed (Wall 0.00250872s, CPU 0.002636s): 21 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.686408, min Q = 0.480111\n",
+      "Info    : [ 50%] Meshing surface 5 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 50%] Blossom: 627 internal 96 closed\n",
+      "Info    : [ 50%] Blossom recombination completed (Wall 0.0139241s, CPU 0.014022s): 224 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.808744, min Q = 0.544999\n",
+      "Info    : [ 60%] Meshing surface 6 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 60%] Blossom: 130 internal 28 closed\n",
+      "Info    : [ 60%] Blossom recombination completed (Wall 0.00346717s, CPU 0.003564s): 46 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.764198, min Q = 0.532218\n",
+      "Info    : [ 70%] Meshing surface 7 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 70%] Blossom: 130 internal 28 closed\n",
+      "Info    : [ 70%] Blossom recombination completed (Wall 0.00627073s, CPU 0.006386s): 47 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.715324, min Q = 0.513152\n",
+      "Info    : [ 80%] Meshing surface 8 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 80%] Blossom: 645 internal 96 closed\n",
+      "Info    : [ 80%] Blossom recombination completed (Wall 0.0185867s, CPU 0.018596s): 226 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.80438, min Q = 0.511661\n",
+      "Info    : [ 90%] Meshing surface 9 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 90%] Blossom: 55 internal 16 closed\n",
+      "Info    : [ 90%] Blossom recombination completed (Wall 0.00817553s, CPU 0.008373s): 21 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.686408, min Q = 0.480111\n",
+      "Info    : Done meshing 2D (Wall 5.72632s, CPU 5.71582s)\n",
+      "Info    : 18174 nodes 19157 elements\n",
+      "Info    : Meshing order 2 (curvilinear on)...\n",
+      "Info    : [  0%] Meshing curve 1 order 2\n",
+      "Info    : [ 10%] Meshing curve 2 order 2\n",
+      "Info    : [ 10%] Meshing curve 3 order 2\n",
+      "Info    : [ 10%] Meshing curve 4 order 2\n",
+      "Info    : [ 20%] Meshing curve 5 order 2\n",
+      "Info    : [ 20%] Meshing curve 6 order 2\n",
+      "Info    : [ 20%] Meshing curve 7 order 2\n",
+      "Info    : [ 30%] Meshing curve 8 order 2\n",
+      "Info    : [ 30%] Meshing curve 9 order 2\n",
+      "Info    : [ 30%] Meshing curve 10 order 2\n",
+      "Info    : [ 40%] Meshing curve 11 order 2\n",
+      "Info    : [ 40%] Meshing curve 12 order 2\n",
+      "Info    : [ 40%] Meshing curve 13 order 2\n",
+      "Info    : [ 40%] Meshing curve 14 order 2\n",
+      "Info    : [ 50%] Meshing curve 15 order 2\n",
+      "Info    : [ 50%] Meshing curve 16 order 2\n",
+      "Info    : [ 50%] Meshing curve 17 order 2\n",
+      "Info    : [ 60%] Meshing curve 18 order 2\n",
+      "Info    : [ 60%] Meshing curve 19 order 2\n",
+      "Info    : [ 60%] Meshing curve 20 order 2\n",
+      "Info    : [ 70%] Meshing curve 21 order 2\n",
+      "Info    : [ 70%] Meshing curve 22 order 2\n",
+      "Info    : [ 70%] Meshing curve 23 order 2\n",
+      "Info    : [ 70%] Meshing curve 24 order 2\n",
+      "Info    : [ 80%] Meshing surface 1 order 2\n",
+      "Info    : [ 80%] Meshing surface 2 order 2\n",
+      "Info    : [ 80%] Meshing surface 3 order 2\n",
+      "Info    : [ 90%] Meshing surface 4 order 2\n",
+      "Info    : [ 90%] Meshing surface 5 order 2\n",
+      "Info    : [ 90%] Meshing surface 6 order 2\n",
+      "Info    : [100%] Meshing surface 7 order 2\n",
+      "Info    : [100%] Meshing surface 8 order 2\n",
+      "Info    : [100%] Meshing surface 9 order 2\n",
+      "Info    : Done meshing order 2 (Wall 0.334337s, CPU 0.332899s)\n"
+     ]
+    }
+   ],
+   "source": [
+    "# creat gmsh geo file for a 2D mesh\n",
+    "#import gmsh # used in pygmsh\n",
+    "import pygmsh\n",
+    "#import meshio # used in pygmsh\n",
+    "import numpy as np\n",
+    "\n",
+    "use_cpml = True\n",
+    "\n",
+    "# Initialize empty geometry using the build in kernel in GMSH\n",
+    "with pygmsh.geo.Geometry() as model:\n",
+    "    # Fetch model we would like to add data to\n",
+    "    # model = geometry.__enter__()\n",
+    "\n",
+    "    # define global parameters\n",
+    "    H = 20 * 1000  # domain height in meter\n",
+    "    L = 100 * 1000  # domain width in meter\n",
+    "\n",
+    "    H_w = 4 * 1000  # water depth in meter\n",
+    "    H_g = (H - H_w)  # subsurface depth in meter\n",
+    "\n",
+    "    # element size for both water and subsurface domain\n",
+    "    #lc_w = 0.09375 * 1000\n",
+    "    #lc_g = 0.075 * 1000\n",
+    "\n",
+    "    # test size\n",
+    "    lc_w = 0.5 * 1000\n",
+    "    lc_g = 0.375 * 1000\n",
+    "\n",
+    "    if use_cpml:\n",
+    "        # pml layer thickness\n",
+    "        pml = lc_w * 3\n",
+    "\n",
+    "    top_pml = False\n",
+    "\n",
+    "\n",
+    "    \"\"\" node ids without pml layer\n",
+    "    5             6\n",
+    "\n",
+    "    4             3 <--- subsurface topo\n",
+    "\n",
+    "\n",
+    "    1             2\n",
+    "\n",
+    "    \"\"\"\n",
+    "\n",
+    "    \"\"\" node ids with pml layer\n",
+    "    16  15            14  13 <--- top_pml = True\n",
+    "\n",
+    "    17   O            O   12\n",
+    "                w\n",
+    "    18   O            O   11\n",
+    "\n",
+    "                g\n",
+    "\n",
+    "    19   O            O   10\n",
+    "\n",
+    "    20   7            8   9\n",
+    "    \"\"\"\n",
+    "\n",
+    "\n",
+    "    # points\n",
+    "    p1 = model.add_point((0, 0, 0), lc_g)\n",
+    "    p2 = model.add_point((L, 0, 0), lc_g)\n",
+    "    p3 = model.add_point((L, H_g, 0), lc_g)\n",
+    "    p4 = model.add_point((0, H_g, 0), lc_g)\n",
+    "    p5 = model.add_point((0, H, 0), lc_w)\n",
+    "    p6 = model.add_point((L, H, 0), lc_w)\n",
+    "\n",
+    "    # points for pml layer outside the domain\n",
+    "    if use_cpml:\n",
+    "        p7 = model.add_point((0, -pml, 0), lc_g)\n",
+    "        p8 = model.add_point((L, -pml, 0), lc_g)\n",
+    "        p9 = model.add_point((L + pml, -pml, 0), lc_g)\n",
+    "        p10 = model.add_point((L + pml, 0, 0), lc_g)\n",
+    "        p11 = model.add_point((L + pml, H_g, 0), lc_g)\n",
+    "        p12 = model.add_point((L + pml, H, 0), lc_w)\n",
+    "\n",
+    "        if top_pml:\n",
+    "            p13 = model.add_point((L + pml, H + pml, 0), lc_w)\n",
+    "            p14 = model.add_point((L, H + pml, 0), lc_w)\n",
+    "            p15 = model.add_point((0, H + pml, 0), lc_w)\n",
+    "            p16 = model.add_point((-pml, H + pml, 0), lc_w)\n",
+    "\n",
+    "        p17 = model.add_point((-pml, H, 0), lc_w)\n",
+    "        p18 = model.add_point((-pml, H_g, 0), lc_g)\n",
+    "        p19 = model.add_point((-pml, 0, 0), lc_g)\n",
+    "        p20 = model.add_point((-pml, -pml, 0), lc_g)\n",
+    "\n",
+    "    # lines\n",
+    "    l_bot = model.add_line(p1, p2)\n",
+    "    l_right_g = model.add_line(p2, p3)\n",
+    "    l_bound_wg = model.add_line(p3, p4)\n",
+    "    l_left_g = model.add_line(p4, p1)\n",
+    "    l_top = model.add_line(p5, p6)\n",
+    "    l_right_w = model.add_line(p3, p6)\n",
+    "    l_left_w = model.add_line(p4, p5)\n",
+    "\n",
+    "    # line loop\n",
+    "    ll_g = model.add_curve_loop([l_bot, l_right_g, l_bound_wg, l_left_g])\n",
+    "    ll_w = model.add_curve_loop([-l_bound_wg, l_right_w, -l_top, -l_left_w])\n",
+    "\n",
+    "    # plane surface\n",
+    "    ps_g = model.add_plane_surface(ll_g)\n",
+    "    ps_w = model.add_plane_surface(ll_w)\n",
+    "\n",
+    "    #\n",
+    "    # PML layer\n",
+    "    #\n",
+    "    if use_cpml:\n",
+    "        # lines\n",
+    "        l_bot_pml = model.add_line(p7, p8)\n",
+    "        l_br_h_pml = model.add_line(p8, p9)\n",
+    "        l_br_v_pml = model.add_line(p9, p10)\n",
+    "        l_br_h2_pml = model.add_line(p2, p10)\n",
+    "        l_br_v2_pml = model.add_line(p2, p8)\n",
+    "        l_r_g_pml = model.add_line(p10, p11)\n",
+    "        l_r_gw_pml = model.add_line(p3, p11)\n",
+    "        l_r_w_pml = model.add_line(p11, p12)\n",
+    "\n",
+    "        if top_pml:\n",
+    "            l_tr_v_pml = model.add_line(p12, p13)\n",
+    "            l_tr_h_pml = model.add_line(p13, p14)\n",
+    "            l_top_pml = model.add_line(p14, p15)\n",
+    "            l_tl_h_pml = model.add_line(p15, p16)\n",
+    "            l_tl_v_pml = model.add_line(p16, p17)\n",
+    "            l_tr_v2_pml = model.add_line(p6, p14)\n",
+    "            l_tl_v2_pml = model.add_line(p5, p15)\n",
+    "\n",
+    "        l_tr_h2_pml = model.add_line(p6, p12)\n",
+    "        l_tl_h2_pml = model.add_line(p5, p17)\n",
+    "\n",
+    "        l_l_w_pml = model.add_line(p17, p18)\n",
+    "        l_l_gw_pml = model.add_line(p4, p18)\n",
+    "        l_l_g_pml = model.add_line(p18, p19)\n",
+    "        l_bl_v_pml = model.add_line(p19, p20)\n",
+    "        l_bl_h_pml = model.add_line(p20, p7)\n",
+    "        l_bl_v2_pml = model.add_line(p1, p7)\n",
+    "        l_bl_h2_pml = model.add_line(p1, p19)\n",
+    "\n",
+    "        # line loop\n",
+    "        ll_bot_pml = model.add_curve_loop([l_bot_pml, -l_br_v2_pml, -l_bot, l_bl_v2_pml])\n",
+    "        ll_br_pml = model.add_curve_loop([l_br_h_pml, l_br_v_pml, -l_br_h2_pml, l_br_v2_pml])\n",
+    "        ll_r_g_pml = model.add_curve_loop([l_br_h2_pml, l_r_g_pml, -l_r_gw_pml, -l_right_g])\n",
+    "        ll_r_w_pml = model.add_curve_loop([l_r_gw_pml, l_r_w_pml, -l_tr_h2_pml, -l_right_w])\n",
+    "\n",
+    "        if top_pml:\n",
+    "            ll_tr_pml = model.add_curve_loop([l_tr_h2_pml, l_tr_v_pml, l_tr_h_pml, -l_tr_v2_pml])\n",
+    "            ll_top_pml = model.add_curve_loop([l_tr_v2_pml, l_top_pml, -l_tl_v2_pml, l_top])\n",
+    "            ll_tl_pml = model.add_curve_loop([l_tl_v2_pml, l_tl_h_pml, l_tl_v_pml, -l_tl_h2_pml])\n",
+    "\n",
+    "        ll_l_w_pml = model.add_curve_loop([l_tl_h2_pml, l_l_w_pml, -l_l_gw_pml, l_left_w])\n",
+    "        ll_l_g_pml = model.add_curve_loop([l_l_gw_pml, l_l_g_pml, -l_bl_h2_pml, -l_left_g])\n",
+    "        ll_bl_pml = model.add_curve_loop([l_bl_h2_pml, l_bl_v_pml, l_bl_h_pml, -l_bl_v2_pml])\n",
+    "\n",
+    "        # plane surface\n",
+    "        ps_bot_pml = model.add_plane_surface(ll_bot_pml)\n",
+    "        ps_br_pml = model.add_plane_surface(ll_br_pml)\n",
+    "        ps_r_g_pml = model.add_plane_surface(ll_r_g_pml)\n",
+    "        ps_r_w_pml = model.add_plane_surface(ll_r_w_pml)\n",
+    "\n",
+    "        if top_pml:\n",
+    "            ps_tr_pml = model.add_plane_surface(ll_tr_pml)\n",
+    "            ps_top_pml = model.add_plane_surface(ll_top_pml)\n",
+    "            ps_tl_pml = model.add_plane_surface(ll_tl_pml)\n",
+    "\n",
+    "        ps_l_w_pml = model.add_plane_surface(ll_l_w_pml)\n",
+    "        ps_l_g_pml = model.add_plane_surface(ll_l_g_pml)\n",
+    "        ps_bl_pml = model.add_plane_surface(ll_bl_pml)\n",
+    "\n",
+    "\n",
+    "    # recombine surfaces\n",
+    "    if use_cpml:\n",
+    "        if top_pml:\n",
+    "            model.set_recombined_surfaces([ps_g, ps_w,\n",
+    "                                           ps_bot_pml, ps_br_pml, ps_r_g_pml, ps_r_w_pml,\n",
+    "                                           ps_tr_pml, ps_top_pml, ps_tl_pml, ps_l_w_pml,\n",
+    "                                           ps_l_g_pml, ps_bl_pml])\n",
+    "        else:\n",
+    "            model.set_recombined_surfaces([ps_g, ps_w,\n",
+    "                                           ps_bot_pml, ps_br_pml, ps_r_g_pml, ps_r_w_pml,\n",
+    "                                           ps_l_w_pml, ps_l_g_pml, ps_bl_pml])\n",
+    "\n",
+    "    else:\n",
+    "        model.set_recombined_surfaces([ps_g, ps_w])\n",
+    "\n",
+    "    # synchronize\n",
+    "    model.synchronize()\n",
+    "\n",
+    "    # physical groups\n",
+    "    # boundary\n",
+    "    if not use_cpml:\n",
+    "        pg_top = model.add_physical(l_top, label=\"Top\")\n",
+    "        pg_bot = model.add_physical(l_bot, label=\"Bottom\")\n",
+    "        pg_left = model.add_physical([l_left_g, l_left_w], label=\"Left\")\n",
+    "        pg_right = model.add_physical([l_right_g, l_right_w], label=\"Right\")\n",
+    "    else:\n",
+    "        if top_pml:\n",
+    "            pg_top = model.add_physical([l_top_pml, l_tr_h_pml, l_tl_h_pml], label=\"Top\")\n",
+    "            pg_left = model.add_physical([l_tl_v_pml, l_l_w_pml, l_l_g_pml, l_bl_v_pml], label=\"Left\")\n",
+    "            pg_right = model.add_physical([l_br_v_pml, l_r_g_pml, l_r_w_pml, l_tr_v_pml], label=\"Right\")\n",
+    "        else:\n",
+    "            pg_top = model.add_physical([l_top, l_tr_h2_pml, l_tl_h2_pml], label=\"Top\")\n",
+    "            pg_left = model.add_physical([l_l_w_pml, l_l_g_pml, l_bl_v_pml], label=\"Left\")\n",
+    "            pg_right = model.add_physical([l_br_v_pml, l_r_g_pml, l_r_w_pml], label=\"Right\")\n",
+    "\n",
+    "        pg_bot = model.add_physical([l_bot_pml, l_br_h_pml, l_bl_h_pml], label=\"Bottom\")\n",
+    "    # material\n",
+    "    if not use_cpml:\n",
+    "        pg_g = model.add_physical(ps_g, label=\"M1\")  # subsurface\n",
+    "        pg_w = model.add_physical(ps_w, label=\"M2\")  # water\n",
+    "    else:\n",
+    "\n",
+    "        pg_g = model.add_physical([ps_g, ps_bot_pml, ps_bl_pml, ps_br_pml, ps_l_g_pml, ps_r_g_pml], label=\"M1\")\n",
+    "\n",
+    "        if top_pml:\n",
+    "            pg_w = model.add_physical([ps_w, ps_top_pml, ps_tl_pml, ps_tr_pml, ps_l_w_pml, ps_r_w_pml], label=\"M2\")\n",
+    "        else:\n",
+    "            pg_w = model.add_physical([ps_w, ps_l_w_pml, ps_r_w_pml], label=\"M2\")\n",
+    "\n",
+    "        pg_pml_x = model.add_physical([ps_r_g_pml, ps_r_w_pml, ps_l_g_pml, ps_l_w_pml], label=\"PML_X\") # PML in x direction\n",
+    "        if top_pml:\n",
+    "            pg_pml_y = model.add_physical([ps_bot_pml, ps_top_pml], label=\"PML_Y\")\n",
+    "            pg_pml_xy = model.add_physical([ps_br_pml, ps_tl_pml, ps_tr_pml, ps_bl_pml], label=\"PML_XY\")\n",
+    "        else:\n",
+    "            pg_pml_y = model.add_physical([ps_bot_pml], label=\"PML_Y\")\n",
+    "            pg_pml_xy = model.add_physical([ps_br_pml, ps_bl_pml], label=\"PML_XY\")\n",
+    "\n",
+    "    # Generate mesh (meshio object)\n",
+    "    mesh = model.generate_mesh(dim=2, order=2, verbose=True)\n",
+    "\n",
+    "mesh.write(\"mesh.xdmf\",\n",
+    "           file_format='xdmf')\n",
+    "\n",
+    "#mesh.write(\"mesh.msh\",\n",
+    "#           file_format='gmsh22')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<meshio mesh object>\n",
+       "  Number of points: 72093\n",
+       "  Number of cells:\n",
+       "    line3: 1268\n",
+       "    quad9: 17873\n",
+       "    vertex: 16\n",
+       "  Cell sets: Top, Left, Right, Bottom, M1, M2, PML_X, PML_Y, PML_XY"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "mesh"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Time elapsed for nodes:  0.22025156021118164  seconds\n",
+      "Time elapsed for mesh:  0.09336209297180176  seconds\n",
+      "material keys:  ['M1', 'M2']\n",
+      "cell_id_offset:  599\n",
+      "Time elapsed for material:  0.06223893165588379  seconds\n",
+      "Time elapsed for surf:  5.976861238479614  seconds\n",
+      "Time elapsed for cpml:  1.0466582775115967  seconds\n",
+      "Time elapsed:  7.400282382965088  seconds\n"
+     ]
+    }
+   ],
+   "source": [
+    "from meshio2spec2d import *\n",
+    "\n",
+    "mio2spec = Meshio2Specfem2D(mesh)\n",
+    "mio2spec.write(\"test\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "global_tomo",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.8"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/EXAMPLES/Gmsh_updated_example/create_mesh_topo.ipynb b/EXAMPLES/Gmsh_updated_example/create_mesh_topo.ipynb
new file mode 100644
index 000000000..acb1c6b75
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/create_mesh_topo.ipynb
@@ -0,0 +1,459 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "n points for subsurface:  268\n",
+      "Info    : Meshing 1D...\n",
+      "Info    : [  0%] Meshing curve 1 (Line)\n",
+      "Info    : [ 10%] Meshing curve 2 (Line)\n",
+      "Info    : [ 10%] Meshing curve 3 (Line)\n",
+      "Info    : [ 20%] Meshing curve 4 (Line)\n",
+      "Info    : [ 20%] Meshing curve 5 (Line)\n",
+      "Info    : [ 20%] Meshing curve 6 (Line)\n",
+      "Info    : [ 30%] Meshing curve 7 (Nurb)\n",
+      "Info    : [ 30%] Meshing curve 8 (Nurb)\n",
+      "Info    : [ 40%] Meshing curve 9 (Line)\n",
+      "Info    : [ 40%] Meshing curve 10 (Line)\n",
+      "Info    : [ 40%] Meshing curve 11 (Line)\n",
+      "Info    : [ 50%] Meshing curve 12 (Line)\n",
+      "Info    : [ 50%] Meshing curve 13 (Line)\n",
+      "Info    : [ 60%] Meshing curve 14 (Line)\n",
+      "Info    : [ 60%] Meshing curve 15 (Line)\n",
+      "Info    : [ 60%] Meshing curve 16 (Line)\n",
+      "Info    : [ 70%] Meshing curve 17 (Line)\n",
+      "Info    : [ 70%] Meshing curve 18 (Line)\n",
+      "Info    : [ 80%] Meshing curve 19 (Line)\n",
+      "Info    : [ 80%] Meshing curve 20 (Line)\n",
+      "Info    : [ 80%] Meshing curve 21 (Line)\n",
+      "Info    : [ 90%] Meshing curve 22 (Line)\n",
+      "Info    : [ 90%] Meshing curve 23 (Line)\n",
+      "Info    : [100%] Meshing curve 24 (Line)\n",
+      "Info    : [100%] Meshing curve 25 (Line)\n",
+      "Info    : Done meshing 1D (Wall 0.0211992s, CPU 0.022224s)\n",
+      "Info    : Meshing 2D...\n",
+      "Info    : [  0%] Meshing surface 1 (Plane, Frontal-Delaunay)\n",
+      "Info    : [  0%] Blossom: 40683 internal 630 closed\n",
+      "Info    : [  0%] Blossom recombination completed (Wall 4.52057s, CPU 4.52166s): 13518 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.8071, min Q = 0.449505\n",
+      "Info    : [ 20%] Meshing surface 2 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 20%] Blossom: 7022 internal 492 closed\n",
+      "Info    : [ 20%] Blossom recombination completed (Wall 0.2599s, CPU 0.253956s): 2388 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.818729, min Q = 0.435334\n",
+      "Info    : [ 30%] Meshing surface 3 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 30%] Blossom: 3940 internal 544 closed\n",
+      "Info    : [ 30%] Blossom recombination completed (Wall 0.140752s, CPU 0.142351s): 1378 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.804149, min Q = 0.462792\n",
+      "Info    : [ 40%] Meshing surface 4 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 40%] Blossom: 55 internal 16 closed\n",
+      "Info    : [ 40%] Blossom recombination completed (Wall 0.00661446s, CPU 0.006806s): 21 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.686408, min Q = 0.480111\n",
+      "Info    : [ 50%] Meshing surface 5 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 50%] Blossom: 642 internal 96 closed\n",
+      "Info    : [ 50%] Blossom recombination completed (Wall 0.017119s, CPU 0.017325s): 222 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.81914, min Q = 0.500175\n",
+      "Info    : [ 60%] Meshing surface 6 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 60%] Blossom: 130 internal 28 closed\n",
+      "Info    : [ 60%] Blossom recombination completed (Wall 0.00398957s, CPU 0.004187s): 48 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.7484, min Q = 0.512693\n",
+      "Info    : [ 70%] Meshing surface 7 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 70%] Blossom: 130 internal 28 closed\n",
+      "Info    : [ 70%] Blossom recombination completed (Wall 0.008034s, CPU 0.008144s): 47 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.715324, min Q = 0.513152\n",
+      "Info    : [ 80%] Meshing surface 8 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 80%] Blossom: 642 internal 96 closed\n",
+      "Info    : [ 80%] Blossom recombination completed (Wall 0.015147s, CPU 0.015487s): 226 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.803907, min Q = 0.511661\n",
+      "Info    : [ 90%] Meshing surface 9 (Plane, Frontal-Delaunay)\n",
+      "Info    : [ 90%] Blossom: 55 internal 16 closed\n",
+      "Info    : [ 90%] Blossom recombination completed (Wall 0.00720474s, CPU 0.007254s): 21 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.686408, min Q = 0.480111\n",
+      "Info    : Done meshing 2D (Wall 5.76629s, CPU 5.76829s)\n",
+      "Info    : 18709 nodes 19699 elements\n",
+      "Info    : Meshing order 2 (curvilinear on)...\n",
+      "Info    : [  0%] Meshing curve 1 order 2\n",
+      "Info    : [ 10%] Meshing curve 2 order 2\n",
+      "Info    : [ 10%] Meshing curve 3 order 2\n",
+      "Info    : [ 10%] Meshing curve 4 order 2\n",
+      "Info    : [ 20%] Meshing curve 5 order 2\n",
+      "Info    : [ 20%] Meshing curve 6 order 2\n",
+      "Info    : [ 20%] Meshing curve 7 order 2\n",
+      "Info    : [ 30%] Meshing curve 8 order 2\n",
+      "Info    : [ 30%] Meshing curve 9 order 2\n",
+      "Info    : [ 30%] Meshing curve 10 order 2\n",
+      "Info    : [ 30%] Meshing curve 11 order 2\n",
+      "Info    : [ 40%] Meshing curve 12 order 2\n",
+      "Info    : [ 40%] Meshing curve 13 order 2\n",
+      "Info    : [ 40%] Meshing curve 14 order 2\n",
+      "Info    : [ 50%] Meshing curve 15 order 2\n",
+      "Info    : [ 50%] Meshing curve 16 order 2\n",
+      "Info    : [ 50%] Meshing curve 17 order 2\n",
+      "Info    : [ 50%] Meshing curve 18 order 2\n",
+      "Info    : [ 60%] Meshing curve 19 order 2\n",
+      "Info    : [ 60%] Meshing curve 20 order 2\n",
+      "Info    : [ 60%] Meshing curve 21 order 2\n",
+      "Info    : [ 70%] Meshing curve 22 order 2\n",
+      "Info    : [ 70%] Meshing curve 23 order 2\n",
+      "Info    : [ 70%] Meshing curve 24 order 2\n",
+      "Info    : [ 80%] Meshing curve 25 order 2\n",
+      "Info    : [ 80%] Meshing surface 1 order 2\n",
+      "Info    : [ 80%] Meshing surface 2 order 2\n",
+      "Info    : [ 80%] Meshing surface 3 order 2\n",
+      "Info    : [ 90%] Meshing surface 4 order 2\n",
+      "Info    : [ 90%] Meshing surface 5 order 2\n",
+      "Info    : [ 90%] Meshing surface 6 order 2\n",
+      "Info    : [100%] Meshing surface 7 order 2\n",
+      "Info    : [100%] Meshing surface 8 order 2\n",
+      "Info    : [100%] Meshing surface 9 order 2\n",
+      "Info    : Done meshing order 2 (Wall 0.334498s, CPU 0.338188s)\n"
+     ]
+    }
+   ],
+   "source": [
+    "# creat gmsh geo file for a 2D mesh\n",
+    "#import gmsh # used in pygmsh\n",
+    "import pygmsh\n",
+    "#import meshio # used in pygmsh\n",
+    "import numpy as np\n",
+    "\n",
+    "use_cpml = True\n",
+    "\n",
+    "\n",
+    "def my_sinusoidal(x, amplitude=2000, period=40000, depth=16000):\n",
+    "    return amplitude * np.sin(2 * np.pi * x / period) + depth # average depth is 16000m\n",
+    "\n",
+    "\n",
+    "def create_sinusoidal_subsurface(n_points, xmin, xmax):\n",
+    "    x_arr = np.linspace(xmin, xmax, n_points)\n",
+    "    z_arr = my_sinusoidal(x_arr)\n",
+    "\n",
+    "    return x_arr, z_arr\n",
+    "\n",
+    "\n",
+    "# Initialize empty geometry using the build in kernel in GMSH\n",
+    "with pygmsh.geo.Geometry() as model:\n",
+    "    # Fetch model we would like to add data to\n",
+    "    # model = geometry.__enter__()\n",
+    "\n",
+    "    # define global parameters\n",
+    "    H = 20 * 1000  # domain height in meter\n",
+    "    L = 100 * 1000  # domain width in meter\n",
+    "\n",
+    "    H_w = 4 * 1000  # water depth in meter\n",
+    "    H_g = (H - H_w)  # subsurface depth in meter\n",
+    "\n",
+    "    # element size for both water and subsurface domain\n",
+    "    #lc_w = 0.09375 * 1000\n",
+    "    #lc_g = 0.075 * 1000\n",
+    "\n",
+    "    # test size\n",
+    "    lc_w = 0.5 * 1000\n",
+    "    lc_g = 0.375 * 1000\n",
+    "\n",
+    "    if use_cpml:\n",
+    "        # pml layer thickness\n",
+    "        pml = lc_w * 3\n",
+    "\n",
+    "    top_pml = False\n",
+    "\n",
+    "\n",
+    "    \"\"\" node ids without pml layer\n",
+    "    5             6\n",
+    "\n",
+    "    4             3\n",
+    "\n",
+    "\n",
+    "    1             2\n",
+    "\n",
+    "    \"\"\"\n",
+    "\n",
+    "    \"\"\" node ids with pml layer\n",
+    "    16  15            14  13 <--- top_pml = True\n",
+    "\n",
+    "    17   O            O   12\n",
+    "                w\n",
+    "    18   O            O   11\n",
+    "\n",
+    "                g\n",
+    "\n",
+    "    19   O            O   10\n",
+    "\n",
+    "    20   7            8   9\n",
+    "    \"\"\"\n",
+    "\n",
+    "\n",
+    "    # points\n",
+    "    p1 = model.add_point((0, 0, 0), lc_g)\n",
+    "    p2 = model.add_point((L, 0, 0), lc_g)\n",
+    "    p3 = model.add_point((L, H_g, 0), lc_g)\n",
+    "    p4 = model.add_point((0, H_g, 0), lc_g)\n",
+    "    p5 = model.add_point((0, H, 0), lc_w)\n",
+    "    p6 = model.add_point((L, H, 0), lc_w)\n",
+    "\n",
+    "    # points for pml layer outside the domain\n",
+    "    if use_cpml:\n",
+    "        p7 = model.add_point((0, -pml, 0), lc_g)\n",
+    "        p8 = model.add_point((L, -pml, 0), lc_g)\n",
+    "        p9 = model.add_point((L + pml, -pml, 0), lc_g)\n",
+    "        p10 = model.add_point((L + pml, 0, 0), lc_g)\n",
+    "        p11 = model.add_point((L + pml, H_g, 0), lc_g)\n",
+    "        p12 = model.add_point((L + pml, H, 0), lc_w)\n",
+    "\n",
+    "        if top_pml:\n",
+    "            p13 = model.add_point((L + pml, H + pml, 0), lc_w)\n",
+    "            p14 = model.add_point((L, H + pml, 0), lc_w)\n",
+    "            p15 = model.add_point((0, H + pml, 0), lc_w)\n",
+    "            p16 = model.add_point((-pml, H + pml, 0), lc_w)\n",
+    "\n",
+    "        p17 = model.add_point((-pml, H, 0), lc_w)\n",
+    "        p18 = model.add_point((-pml, H_g, 0), lc_g)\n",
+    "        p19 = model.add_point((-pml, 0, 0), lc_g)\n",
+    "        p20 = model.add_point((-pml, -pml, 0), lc_g)\n",
+    "\n",
+    "    # lines\n",
+    "    l_bot = model.add_line(p1, p2)\n",
+    "    l_right_g = model.add_line(p2, p3)\n",
+    "    l_left_g = model.add_line(p4, p1)\n",
+    "    l_top = model.add_line(p5, p6)\n",
+    "    l_right_w = model.add_line(p3, p6)\n",
+    "    l_left_w = model.add_line(p4, p5)\n",
+    "\n",
+    "    #\n",
+    "    # create subsurface geometry\n",
+    "    #\n",
+    "    x_arr, z_arr = create_sinusoidal_subsurface(int(L / lc_g), 0, L)\n",
+    "    p_list_subsurface = [model.add_point((x, z, 0), lc_g) for x, z in zip(x_arr, z_arr)]\n",
+    "    # reverse the list\n",
+    "    p_list_subsurface = p_list_subsurface[::-1]\n",
+    "    # add p3 at first and p4 at last\n",
+    "    p_list_subsurface.insert(0, p3)\n",
+    "    p_list_subsurface.append(p4)\n",
+    "    print(\"n points for subsurface: \", len(p_list_subsurface))\n",
+    "    p_list_subsurface_reverse = p_list_subsurface[::-1]\n",
+    "    # create subsurface lines\n",
+    "    l_bound_list = model.add_spline(p_list_subsurface)\n",
+    "    l_bound_list_reverse = model.add_spline(p_list_subsurface_reverse)\n",
+    "    #\n",
+    "    # end of subsurface geometry definition\n",
+    "    #\n",
+    "\n",
+    "    ## line loop\n",
+    "    ll_g = model.add_curve_loop([l_bot, l_right_g, l_bound_list, l_left_g])\n",
+    "    ll_w = model.add_curve_loop([l_bound_list_reverse, l_right_w, -l_top, -l_left_w])\n",
+    "\n",
+    "    # plane surface\n",
+    "    ps_g = model.add_plane_surface(ll_g)\n",
+    "    ps_w = model.add_plane_surface(ll_w)\n",
+    "\n",
+    "    #\n",
+    "    # PML layer\n",
+    "    #\n",
+    "    if use_cpml:\n",
+    "        # lines\n",
+    "        l_bot_pml = model.add_line(p7, p8)\n",
+    "        l_br_h_pml = model.add_line(p8, p9)\n",
+    "        l_br_v_pml = model.add_line(p9, p10)\n",
+    "        l_br_h2_pml = model.add_line(p2, p10)\n",
+    "        l_br_v2_pml = model.add_line(p2, p8)\n",
+    "        l_r_g_pml = model.add_line(p10, p11)\n",
+    "        l_r_gw_pml = model.add_line(p3, p11)\n",
+    "        l_r_w_pml = model.add_line(p11, p12)\n",
+    "\n",
+    "        if top_pml:\n",
+    "            l_tr_v_pml = model.add_line(p12, p13)\n",
+    "            l_tr_h_pml = model.add_line(p13, p14)\n",
+    "            l_top_pml = model.add_line(p14, p15)\n",
+    "            l_tl_h_pml = model.add_line(p15, p16)\n",
+    "            l_tl_v_pml = model.add_line(p16, p17)\n",
+    "            l_tr_v2_pml = model.add_line(p6, p14)\n",
+    "            l_tl_v2_pml = model.add_line(p5, p15)\n",
+    "\n",
+    "        l_tr_h2_pml = model.add_line(p6, p12)\n",
+    "        l_tl_h2_pml = model.add_line(p5, p17)\n",
+    "\n",
+    "        l_l_w_pml = model.add_line(p17, p18)\n",
+    "        l_l_gw_pml = model.add_line(p4, p18)\n",
+    "        l_l_g_pml = model.add_line(p18, p19)\n",
+    "        l_bl_v_pml = model.add_line(p19, p20)\n",
+    "        l_bl_h_pml = model.add_line(p20, p7)\n",
+    "        l_bl_v2_pml = model.add_line(p1, p7)\n",
+    "        l_bl_h2_pml = model.add_line(p1, p19)\n",
+    "\n",
+    "        # line loop\n",
+    "        ll_bot_pml = model.add_curve_loop([l_bot_pml, -l_br_v2_pml, -l_bot, l_bl_v2_pml])\n",
+    "        ll_br_pml = model.add_curve_loop([l_br_h_pml, l_br_v_pml, -l_br_h2_pml, l_br_v2_pml])\n",
+    "        ll_r_g_pml = model.add_curve_loop([l_br_h2_pml, l_r_g_pml, -l_r_gw_pml, -l_right_g])\n",
+    "        ll_r_w_pml = model.add_curve_loop([l_r_gw_pml, l_r_w_pml, -l_tr_h2_pml, -l_right_w])\n",
+    "\n",
+    "        if top_pml:\n",
+    "            ll_tr_pml = model.add_curve_loop([l_tr_h2_pml, l_tr_v_pml, l_tr_h_pml, -l_tr_v2_pml])\n",
+    "            ll_top_pml = model.add_curve_loop([l_tr_v2_pml, l_top_pml, -l_tl_v2_pml, l_top])\n",
+    "            ll_tl_pml = model.add_curve_loop([l_tl_v2_pml, l_tl_h_pml, l_tl_v_pml, -l_tl_h2_pml])\n",
+    "\n",
+    "        ll_l_w_pml = model.add_curve_loop([l_tl_h2_pml, l_l_w_pml, -l_l_gw_pml, l_left_w])\n",
+    "        ll_l_g_pml = model.add_curve_loop([l_l_gw_pml, l_l_g_pml, -l_bl_h2_pml, -l_left_g])\n",
+    "        ll_bl_pml = model.add_curve_loop([l_bl_h2_pml, l_bl_v_pml, l_bl_h_pml, -l_bl_v2_pml])\n",
+    "\n",
+    "        # plane surface\n",
+    "        ps_bot_pml = model.add_plane_surface(ll_bot_pml)\n",
+    "        ps_br_pml = model.add_plane_surface(ll_br_pml)\n",
+    "        ps_r_g_pml = model.add_plane_surface(ll_r_g_pml)\n",
+    "        ps_r_w_pml = model.add_plane_surface(ll_r_w_pml)\n",
+    "\n",
+    "        if top_pml:\n",
+    "            ps_tr_pml = model.add_plane_surface(ll_tr_pml)\n",
+    "            ps_top_pml = model.add_plane_surface(ll_top_pml)\n",
+    "            ps_tl_pml = model.add_plane_surface(ll_tl_pml)\n",
+    "\n",
+    "        ps_l_w_pml = model.add_plane_surface(ll_l_w_pml)\n",
+    "        ps_l_g_pml = model.add_plane_surface(ll_l_g_pml)\n",
+    "        ps_bl_pml = model.add_plane_surface(ll_bl_pml)\n",
+    "\n",
+    "\n",
+    "    # recombine surfaces\n",
+    "    if use_cpml:\n",
+    "        if top_pml:\n",
+    "            model.set_recombined_surfaces([ps_g, ps_w,\n",
+    "                                           ps_bot_pml, ps_br_pml, ps_r_g_pml, ps_r_w_pml,\n",
+    "                                           ps_tr_pml, ps_top_pml, ps_tl_pml, ps_l_w_pml,\n",
+    "                                           ps_l_g_pml, ps_bl_pml])\n",
+    "        else:\n",
+    "            model.set_recombined_surfaces([ps_g, ps_w,\n",
+    "                                           ps_bot_pml, ps_br_pml, ps_r_g_pml, ps_r_w_pml,\n",
+    "                                           ps_l_w_pml, ps_l_g_pml, ps_bl_pml])\n",
+    "\n",
+    "    else:\n",
+    "        model.set_recombined_surfaces([ps_g, ps_w])\n",
+    "\n",
+    "    # synchronize\n",
+    "    model.synchronize()\n",
+    "\n",
+    "    # physical groups\n",
+    "    # boundary\n",
+    "    if not use_cpml:\n",
+    "        pg_top = model.add_physical(l_top, label=\"Top\")\n",
+    "        pg_bot = model.add_physical(l_bot, label=\"Bottom\")\n",
+    "        pg_left = model.add_physical([l_left_g, l_left_w], label=\"Left\")\n",
+    "        pg_right = model.add_physical([l_right_g, l_right_w], label=\"Right\")\n",
+    "    else:\n",
+    "        if top_pml:\n",
+    "            pg_top = model.add_physical([l_top_pml, l_tr_h_pml, l_tl_h_pml], label=\"Top\")\n",
+    "            pg_left = model.add_physical([l_tl_v_pml, l_l_w_pml, l_l_g_pml, l_bl_v_pml], label=\"Left\")\n",
+    "            pg_right = model.add_physical([l_br_v_pml, l_r_g_pml, l_r_w_pml, l_tr_v_pml], label=\"Right\")\n",
+    "        else:\n",
+    "            pg_top = model.add_physical([l_top, l_tr_h2_pml, l_tl_h2_pml], label=\"Top\")\n",
+    "            pg_left = model.add_physical([l_l_w_pml, l_l_g_pml, l_bl_v_pml], label=\"Left\")\n",
+    "            pg_right = model.add_physical([l_br_v_pml, l_r_g_pml, l_r_w_pml], label=\"Right\")\n",
+    "\n",
+    "        pg_bot = model.add_physical([l_bot_pml, l_br_h_pml, l_bl_h_pml], label=\"Bottom\")\n",
+    "    # material\n",
+    "    if not use_cpml:\n",
+    "        pg_g = model.add_physical(ps_g, label=\"M1\")  # subsurface\n",
+    "        pg_w = model.add_physical(ps_w, label=\"M2\")  # water\n",
+    "    else:\n",
+    "\n",
+    "        pg_g = model.add_physical([ps_g, ps_bot_pml, ps_bl_pml, ps_br_pml, ps_l_g_pml, ps_r_g_pml], label=\"M1\")\n",
+    "\n",
+    "        if top_pml:\n",
+    "            pg_w = model.add_physical([ps_w, ps_top_pml, ps_tl_pml, ps_tr_pml, ps_l_w_pml, ps_r_w_pml], label=\"M2\")\n",
+    "        else:\n",
+    "            pg_w = model.add_physical([ps_w, ps_l_w_pml, ps_r_w_pml], label=\"M2\")\n",
+    "\n",
+    "        pg_pml_x = model.add_physical([ps_r_g_pml, ps_r_w_pml, ps_l_g_pml, ps_l_w_pml], label=\"PML_X\") # PML in x direction\n",
+    "        if top_pml:\n",
+    "            pg_pml_y = model.add_physical([ps_bot_pml, ps_top_pml], label=\"PML_Y\")\n",
+    "            pg_pml_xy = model.add_physical([ps_br_pml, ps_tl_pml, ps_tr_pml, ps_bl_pml], label=\"PML_XY\")\n",
+    "        else:\n",
+    "            pg_pml_y = model.add_physical([ps_bot_pml], label=\"PML_Y\")\n",
+    "            pg_pml_xy = model.add_physical([ps_br_pml, ps_bl_pml], label=\"PML_XY\")\n",
+    "\n",
+    "    # Generate mesh (meshio object)\n",
+    "    mesh = model.generate_mesh(dim=2, order=2, verbose=True)\n",
+    "\n",
+    "mesh.write(\"mesh.xdmf\",\n",
+    "           file_format='xdmf')\n",
+    "\n",
+    "#mesh.write(\"mesh.msh\",\n",
+    "#           file_format='gmsh22')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<meshio mesh object>\n",
+       "  Number of points: 72894\n",
+       "  Number of cells:\n",
+       "    line3: 1548\n",
+       "    quad9: 17870\n",
+       "    vertex: 282\n",
+       "  Cell sets: Top, Left, Right, Bottom, M1, M2, PML_X, PML_Y, PML_XY"
+      ]
+     },
+     "execution_count": 23,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "mesh"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Time elapsed for nodes:  0.20134186744689941  seconds\n",
+      "Time elapsed for mesh:  0.08588242530822754  seconds\n",
+      "material keys:  ['M1', 'M2']\n",
+      "cell_id_offset:  599\n",
+      "Time elapsed for material:  0.0610809326171875  seconds\n",
+      "Time elapsed for surf:  6.413354158401489  seconds\n",
+      "Time elapsed for cpml:  1.175574541091919  seconds\n",
+      "Time elapsed:  7.938084840774536  seconds\n"
+     ]
+    }
+   ],
+   "source": [
+    "from meshio2spec2d import *\n",
+    "\n",
+    "mio2spec = Meshio2Specfem2D(mesh)\n",
+    "mio2spec.write(\"test\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "global_tomo",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.8"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/EXAMPLES/Gmsh_updated_example/meshio2spec2d.py b/EXAMPLES/Gmsh_updated_example/meshio2spec2d.py
new file mode 100644
index 000000000..f80c39ae4
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/meshio2spec2d.py
@@ -0,0 +1,346 @@
+# convert mesh to specfem format
+import numpy as np
+import numba
+import time
+import os
+
+
+@numba.jit(nopython=True)
+def write_str_surface(str_lines, cells_line, cells_quad, bound_edges, bound_nodes, flag_abs):
+
+    for line_elm in bound_edges:
+        # get node ids from edge id
+        nodes_ids_edge = cells_line[line_elm]
+        node_0 = nodes_ids_edge[bound_nodes[0]]
+        node_1 = nodes_ids_edge[bound_nodes[1]]
+
+        # get element id and node ids from edge id
+        for ielm, _node_ids_elm in enumerate(cells_quad):
+            if node_0 in _node_ids_elm and node_1 in _node_ids_elm:
+                nodes = _node_ids_elm
+                break
+        else:
+            # If no break occurred, continue to the next iteration
+            continue
+
+        # specfem requires only 2 two edge nodes
+        out_str = f"{ielm} 2 {nodes[0]} {nodes[1]}"
+
+        if flag_abs is not None:
+            out_str += f" {flag_abs}"
+
+        str_lines.append(out_str)
+
+    return str_lines
+
+
+
+@numba.jit(nopython=True)
+def get_cpml_data(mesh_sets_x, mesh_sets_y, mesh_sets_xy, cell_id_offset):
+
+    n_elm_pml = 0
+    #pml_x, pml_y, pml_xy = [], [], []
+
+    str_lines = []
+
+    n_elm_pml += len(mesh_sets_x)
+    #pml_x = [int(elm - cell_id_offset) for elm in mesh_sets["PML_X"][1]]
+    if (len(mesh_sets_x) > 0):
+        for elm in mesh_sets_x:
+            str_lines.append(str(int(elm-cell_id_offset)) + " " + str(1) + "\n")
+
+    n_elm_pml += len(mesh_sets_y)
+    #pml_y = [int(elm - cell_id_offset) for elm in mesh_sets["PML_Y"][1]]
+    if (len(mesh_sets_y) > 0):
+        for elm in mesh_sets_y:
+            str_lines.append(str(int(elm-cell_id_offset)) + " " + str(2) + "\n")
+
+    n_elm_pml += len(mesh_sets_xy)
+    #pml_xy = [int(elm - cell_id_offset) for elm in mesh_sets["PML_XY"][1]]
+    if (len(mesh_sets_xy) > 0):
+        for elm in mesh_sets_xy:
+            str_lines.append(str(int(elm-cell_id_offset)) + " " + str(3) + "\n")
+
+   # add number of pml elements to the first line
+    str_lines.insert(0, str(n_elm_pml))
+
+    return str_lines
+
+
+class Meshio2Specfem2D:
+
+    outdir = "./MESH"
+
+    # node ordering in meshio is the same as vtk
+    # https://raw.githubusercontent.com/Kitware/vtk-examples/gh-pages/src/Testing/Baseline/Cxx/GeometricObjects/TestIsoparametricCellsDemo.png
+
+    fhead_Nodes = "Nodes"
+    fhead_Mesh = "Mesh"
+    fhead_Material = "Material"
+    fhead_Surf_abs = "Surf_abs"
+    fhead_Surf_free = "Surf_free"
+    fhead_CPML = "EltPML"
+    fname_out = "TEST"
+
+    fname_Nodes = ""
+    fname_Mesh = ""
+    fname_Material = ""
+    fname_Surf_abs = ""
+    fname_Surf_free = ""
+    fname_CPML = ""
+
+    n_nodes = 0
+    n_cells = 0
+    n_edges = 0
+    if_second_order = False
+    key_line = "line"
+    key_quad = "quad"
+
+    # stacy boundary flags
+    top_abs = False
+    bot_abs = True
+    left_abs = True
+    right_abs = True
+
+    use_cpml = False
+    #cpml_flags = {"PML_X": 1, "PML_Y": 2, "PML_XY": 3} # specfem2d/setup/constants.h
+    cell_id_offset = 0
+
+
+    def __init__(self, mesh, top_abs=False, bot_abs=True, left_abs=True, right_abs=True):
+        self.top_abs = top_abs
+        self.bot_abs = bot_abs
+        self.left_abs = left_abs
+        self.right_abs = right_abs
+        self.mesh = mesh
+
+        # create output directory
+        import os
+        if not os.path.exists(self.outdir):
+            os.makedirs(self.outdir)
+
+        # check if PML_X is included in the physical groups
+        if "PML_X" in self.mesh.cell_sets:
+            self.use_cpml = True
+
+        # check if second order elements are included in the mesh
+        if "quad9" in self.mesh.cells_dict:
+            self.if_second_order = True
+
+        if self.if_second_order:
+            self.key_line = "line3"
+            self.key_quad = "quad9"
+        else:
+            self.key_line = "line"
+            self.key_quad = "quad"
+
+
+    def write_nodes(self):
+        # number of nodes
+        # coord x y
+        nodes = self.mesh.points
+        self.n_nodes = len(nodes)
+        with open(self.fname_Nodes, "w") as f:
+            f.write(f"{self.n_nodes}\n")
+            np.savetxt(f, nodes[:,0:2], fmt="%f %f")
+
+
+    def write_mesh(self):
+        # number of elements
+        # node id1 id2 id3 id4 (id5 id6 id7 id8 id9 for second order elements)
+
+        with open(self.fname_Mesh, "w") as f:
+            cell_data = self.mesh.cells_dict[self.key_quad]
+            self.n_cells = len(cell_data)
+            f.write(str(self.n_cells) + "\n")
+            if self.if_second_order:
+                np.savetxt(f, cell_data[:,0:9], fmt="%d %d %d %d %d %d %d %d %d")
+            else:
+                np.savetxt(f, cell_data[:,0:4], fmt="%d %d %d %d")
+
+
+    def write_material(self):
+
+        # find all keys starting with "M" from mesh.cell_sets
+        M_keys = [key for key in self.mesh.cell_sets if key[0] == "M"]
+        print("material keys: ", M_keys)
+
+        # reconstruct material flag array
+        arr_mflag = np.ones(self.n_cells, dtype=int) * -1
+
+        # id offset for quad (subtract the number of lines)
+        self.cell_id_offset = int(np.min(self.mesh.cell_sets["M1"][1]))-1
+
+        print("cell_id_offset: ", self.cell_id_offset)
+
+        for key in M_keys:
+            for cell in self.mesh.cell_sets[key][1]:
+                try:
+                    icell = int(cell)-1-self.cell_id_offset
+                    # skip the first character "M"
+                    arr_mflag[icell] = int(key.lstrip("M"))
+                except:
+                    print(
+                        "icell, cell, key, key.lstrip('M'), self.n_cells, len(arr_mflag)")
+                    print(icell, cell, key, key.lstrip(
+                        "M"), self.n_cells, len(arr_mflag))
+                    raise Exception("Error: cell id out of range")
+
+        # check if all cells are assigned to a material
+        if -1 in arr_mflag:
+            raise Exception("Error: not all cells are assigned to a material")
+
+        # write material file
+        with open(self.fname_Material, "w") as f:
+            np.savetxt(f, arr_mflag, fmt="%d")
+
+
+    def _write_str_surface(self, str_lines, bound_edges, bound_nodes, flag_abs=None):
+        # pipline function to avoid passing dict to numba (unsupported)
+
+        cells_line = self.mesh.cells_dict[self.key_line]
+        cells_quad = self.mesh.cells_dict[self.key_quad]
+
+        return write_str_surface(str_lines, cells_line, cells_quad, bound_edges[0], bound_nodes, flag_abs)
+
+
+    def write_surf_free_and_abs(self):
+        # free surface
+        # number of free surface edges
+        # elemnt id, num nodes, node id1, node id2 (, node id3 for second order elements)
+
+        # abs boundary
+        # number of abs boundary edges
+        # elemnt id, num nodes, node id1, node id2 (, node id3 for second order elements), boundary flag (1=bottom, 2=right, 3=top, 4=left)
+
+        # node id order in meshio is the same as vtk
+        #
+        #
+        # 3      6      2
+        #
+        #
+        # 7      8      5
+        #
+        #
+        # 0      4      1
+
+        bot_nodes = np.array([0, 1, 4])
+        right_nodes = np.array([1, 2, 5])
+        top_nodes = np.array([2, 3, 6])
+        left_nodes = np.array([3, 0, 7])
+
+        # write number of free surface edges
+        elems_top = self.mesh.cell_sets["Top"]
+        elems_bot = self.mesh.cell_sets["Bottom"]
+        elems_left = self.mesh.cell_sets["Left"]
+        elems_right = self.mesh.cell_sets["Right"]
+
+        n_edges_free = 0
+        n_edges_abs = 0
+
+        if self.bot_abs != False:
+            n_edges_free += len(elems_bot)
+        else:
+            n_edges_abs += len(elems_bot)
+        if self.right_abs != False:
+            n_edges_free += len(elems_right)
+        else:
+            n_edges_abs += len(elems_right)
+        if self.top_abs != False:
+            n_edges_free += len(elems_top)
+        else:
+            n_edges_abs += len(elems_top)
+        if self.left_abs != False:
+            n_edges_free += len(elems_left)
+        else:
+            n_edges_abs += len(elems_left)
+
+        str_lines = []
+
+        # write number of free surface edges
+        str_lines.append(str(n_edges_free))
+        if self.bot_abs != False:
+            str_lines = self._write_str_surface(str_lines, elems_bot, bot_nodes)
+        if self.right_abs != False:
+            str_lines = self._write_str_surface(str_lines, elems_right, right_nodes)
+        if self.top_abs != False:
+            str_lines = self._write_str_surface(str_lines, elems_top, top_nodes)
+        if self.left_abs != False:
+            str_lines = self._write_str_surface(str_lines, elems_left, left_nodes)
+
+        np.savetxt(self.fname_Surf_free, str_lines, fmt="%s")
+
+        # write number of abs boundary edges
+        str_lines = []
+        str_lines.append(str(n_edges_abs))
+        if self.bot_abs:
+            str_lines = self._write_str_surface(str_lines, elems_bot, bot_nodes, 1)
+        if self.right_abs:
+            str_lines = self._write_str_surface(str_lines, elems_right, right_nodes, 2)
+        if self.top_abs:
+            str_lines = self._write_str_surface(str_lines, elems_top, top_nodes, 3)
+        if self.left_abs:
+            str_lines = self._write_str_surface(str_lines, elems_left, left_nodes, 4)
+
+        np.savetxt(self.fname_Surf_abs, str_lines, fmt="%s")
+
+
+    def write_cpml(self):
+        # n_elme pml
+        # elm_id cpml_flag
+        str_lines = get_cpml_data(self.mesh.cell_sets["PML_X"][1]
+                                , self.mesh.cell_sets["PML_Y"][1]
+                                , self.mesh.cell_sets["PML_XY"][1]
+                                , self.cell_id_offset)
+
+        np.savetxt(self.fname_CPML, str_lines, fmt="%s")
+
+
+    def write(self, filename_out="TEST"):
+
+        # measure time
+        start_time = time.time()
+
+        self.filename_out = filename_out
+
+        # construct file names
+        self.fname_Nodes = os.path.join(self.outdir, self.fhead_Nodes + "_" + self.filename_out)
+        self.fname_Mesh = os.path.join(self.outdir, self.fhead_Mesh + "_" + self.filename_out)
+        self.fname_Material = os.path.join(self.outdir, self.fhead_Material + "_" + self.filename_out)
+        self.fname_Surf_abs = os.path.join(self.outdir, self.fhead_Surf_abs + "_" + self.filename_out)
+        self.fname_Surf_free = os.path.join(self.outdir, self.fhead_Surf_free + "_" + self.filename_out)
+        self.fname_CPML = os.path.join(self.outdir, self.fhead_CPML + "_" + self.filename_out)
+
+        # write mesh files in specfem format from meshio object
+        t_start_node = time.time()
+        self.write_nodes()
+        t_end_node = time.time()
+        print("Time elapsed for nodes: ", t_end_node - t_start_node, " seconds")
+
+        # write mesh
+        t_start_mesh = time.time()
+        self.write_mesh()
+        t_end_mesh = time.time()
+        print("Time elapsed for mesh: ", t_end_mesh - t_start_mesh, " seconds")
+
+        # write material
+        t_start_material = time.time()
+        self.write_material()
+        t_end_material = time.time()
+        print("Time elapsed for material: ", t_end_material - t_start_material, " seconds")
+
+        # write free surface
+        t_start_surf = time.time()
+        self.write_surf_free_and_abs()
+        t_end_surf = time.time()
+        print("Time elapsed for surf: ", t_end_surf - t_start_surf, " seconds")
+
+        # write cpml
+        if self.use_cpml:
+            t_start_cpml = time.time()
+            self.write_cpml()
+            t_end_cpml = time.time()
+            print("Time elapsed for cpml: ", t_end_cpml - t_start_cpml, " seconds")
+
+        print("Time elapsed: ", time.time() - start_time, " seconds")
+
diff --git a/EXAMPLES/Gmsh_updated_example/run_this_example.sh b/EXAMPLES/Gmsh_updated_example/run_this_example.sh
new file mode 100755
index 000000000..588abbe18
--- /dev/null
+++ b/EXAMPLES/Gmsh_updated_example/run_this_example.sh
@@ -0,0 +1,83 @@
+#!/bin/bash
+#
+# This script runs the main directory SPECFEM2D example problem, which is shown
+# on the cover of the User Manual (https://specfem2d.readthedocs.io/en/latest/)
+#
+# Under the hood it runs the mesher and the solver (in serial or parallel) for
+# a multi-layered 2D domain with topography and a cavity.
+#
+# To create a movie of the results, have a look at the script:
+# ./utils/create_main_repo_example_movie.sh
+#
+
+echo "running example: `date`"
+currentdir=`pwd`
+
+# sets up directory structure in current example directoy
+echo
+echo "setting up example..."
+echo
+
+mkdir -p OUTPUT_FILES
+
+# cleans output files
+rm -rf OUTPUT_FILES/*
+
+cd $currentdir
+
+# links executables
+rm -f xmeshfem2D xspecfem2D
+ln -s ../../bin/xmeshfem2D
+ln -s ../../bin/xspecfem2D
+
+# stores setup
+cp DATA/Par_file OUTPUT_FILES/
+cp DATA/SOURCE OUTPUT_FILES/
+
+# Get the number of processors
+NPROC=`grep ^NPROC DATA/Par_file | cut -d = -f 2 | cut -d \# -f 1 | tr -d ' '`
+
+# runs database generation
+if [ "$NPROC" -eq 1 ]; then
+  echo
+  echo "running mesher..."
+  echo
+  ./xmeshfem2D
+else
+  # This is a MPI simulation
+  echo
+  echo "running mesher on $NPROC processors..."
+  echo
+  mpirun --oversubscribe -np $NPROC ./xmeshfem2D
+fi
+#
+
+# checks exit code
+if [[ $? -ne 0 ]]; then exit 1; fi
+
+# runs simulation
+if [ "$NPROC" -eq 1 ]; then
+  # This is a serial simulation
+  echo
+  echo "running solver..."
+  echo
+  ./xspecfem2D
+else
+  # This is a MPI simulation
+  echo
+  echo "running solver on $NPROC processors..."
+  echo
+  mpirun --oversubscribe -np $NPROC ./xspecfem2D
+fi
+# checks exit code
+if [[ $? -ne 0 ]]; then exit 1; fi
+
+# stores output
+cp DATA/*SOURCE* DATA/*STATIONS* OUTPUT_FILES
+
+echo
+echo "see results in directory: OUTPUT_FILES/"
+echo
+echo "done"
+echo `date`
+

From c759143966cf3a08704177195061b239ce6f2de6 Mon Sep 17 00:00:00 2001
From: Masaru Nagaso <mnsaru22@gmail.com>
Date: Tue, 20 Feb 2024 03:30:27 -0700
Subject: [PATCH 2/2] cleanup

---
 EXAMPLES/Gmsh_updated_example/meshio2spec2d.py | 8 +-------
 1 file changed, 1 insertion(+), 7 deletions(-)

diff --git a/EXAMPLES/Gmsh_updated_example/meshio2spec2d.py b/EXAMPLES/Gmsh_updated_example/meshio2spec2d.py
index f80c39ae4..8d89e160f 100644
--- a/EXAMPLES/Gmsh_updated_example/meshio2spec2d.py
+++ b/EXAMPLES/Gmsh_updated_example/meshio2spec2d.py
@@ -39,29 +39,24 @@ def write_str_surface(str_lines, cells_line, cells_quad, bound_edges, bound_node
 def get_cpml_data(mesh_sets_x, mesh_sets_y, mesh_sets_xy, cell_id_offset):
 
     n_elm_pml = 0
-    #pml_x, pml_y, pml_xy = [], [], []
-
     str_lines = []
 
     n_elm_pml += len(mesh_sets_x)
-    #pml_x = [int(elm - cell_id_offset) for elm in mesh_sets["PML_X"][1]]
     if (len(mesh_sets_x) > 0):
         for elm in mesh_sets_x:
             str_lines.append(str(int(elm-cell_id_offset)) + " " + str(1) + "\n")
 
     n_elm_pml += len(mesh_sets_y)
-    #pml_y = [int(elm - cell_id_offset) for elm in mesh_sets["PML_Y"][1]]
     if (len(mesh_sets_y) > 0):
         for elm in mesh_sets_y:
             str_lines.append(str(int(elm-cell_id_offset)) + " " + str(2) + "\n")
 
     n_elm_pml += len(mesh_sets_xy)
-    #pml_xy = [int(elm - cell_id_offset) for elm in mesh_sets["PML_XY"][1]]
     if (len(mesh_sets_xy) > 0):
         for elm in mesh_sets_xy:
             str_lines.append(str(int(elm-cell_id_offset)) + " " + str(3) + "\n")
 
-   # add number of pml elements to the first line
+    # add number of pml elements to the first line
     str_lines.insert(0, str(n_elm_pml))
 
     return str_lines
@@ -103,7 +98,6 @@ class Meshio2Specfem2D:
     right_abs = True
 
     use_cpml = False
-    #cpml_flags = {"PML_X": 1, "PML_Y": 2, "PML_XY": 3} # specfem2d/setup/constants.h
     cell_id_offset = 0