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MapsforNN.m
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% Routine for calculation of surface heatflow, seafloor age and ocean
% bathymetry. This routine calculates the surface heat flow via Fourier's
% law from the binary temperature output of the mantle convection code
% STAG-YY (Tackley,PEPI,2008) in YinYang geometry. It can do the
% partitioning between oceanic and continental regions as well as the
% differentiation between different continents.The heat flow distribution
% is converted into adistribution of seafloor ages by using the half-space
% cooling approximation. The age distribution can then be used to estimate
% the bathymetry of any point in the ocean and with that the total volume
% of ocean basins can be track in time. Additional features are the
% production rate of new seafloor, the mean age of the lithosphere and
% mollweid projections of surface temperature, composition, heatflow, age,
% bathymetry, viscosity and velocity.
% Major rewriting of old surface_age_bathymetry script, aiming for easier
% handling and possible distribution to others
% written by Tobias Rolf, ETH Zurich, October 2012
% ...tested in YinYang geometry, 2D spherical annullus is implemented and
% ...heat flow calculation seems to work fine. However the age distribution
% ...can look quite strange. It can be kind of flat of triangular, but it
% ...also often has some contribution at larger age. This might be because
% ...the number of age bins is very small in 2D (512 usually). So, the very
% ...old lithosphere, which usually sticks to the continent-ocean boundary
% ...has a much larger influence on the age distribution than in 3D.
% ...Bathymetry looks even worse, but is anyway based on the age distribution.
% ...24/10/2012 - before the volumetrically-averaged rms-velocity was used
% ...to estimate the model transit time. Now changed to using the
% ...surface-averaged rms-velocity! Should give larger age, smaller C0!
% ...22/10/2013 - added divergence and vorticity projection switches
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
clear all; tinit = cputime; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% DECIDE WHICH DATA YOU WANT TO PROCESS
dir = '/Volumes/HD1/AI-Plates/';%'/Users/Nicolas/Work/Research/PROJETS/Plates/PJB2/Temp/Claire-YS1.5/';%'/Users/Nicolas/Work/Research/PROJETS/Lea/Plates/PJB2/StegmanEurasia/';
fname = 'today-2';%'try10-nowc';%'try40-YS2';%'Inst10-YS1';%'Inst00';% % File name stem
file_stem = strcat(dir,fname);
GridType = 'YinYang'; % Grid geometry, either YinYang or Annullus
ncont = 0; % Number of continents
t0 = 1.14976E-01; % Point of time origin, transition from fixed to mobile continentd
number_trans = 1; % Frame number that belongs to time t0
transit_M = 1/1100.; % Model Transit time - UNTIL RECENTLY THIS CONSIDERED the V-averaged rms_velocity, but it should consider surface_rms
Tscale = 1.000; % Non-dim scaling factor for temperature dimensionalization (mean subocean-T of ROSA case: 6x5_ys1e4_int20)
Eta_Ref = 1.0e+22; % Reference viscosity in Pa s
nstart = 645; % first output frame to process
nend = 1810; % last output frame to process
increment = 1; % frame increment, set to 1 if you want to process all frames
n = (nend-nstart)/increment + 1; % total number of frames to process -- MUST BE AN INTEGER!
Rsurf = 2.2; % Non-dim surface radius
ndepth = 64 % Number of the layer to map
% LOAD SUBOCEANIC TEMPERATURE OF THIS CASE
%data_str = strcat(dir,fname,'_subtemp.dat');
%data = load(data_str);
%subTo = data(:,4);
subTo = ones(nend,1)*.86; %%% FOR TESTING ONLY %%%
% LOAD SURFACE VELOCITIES OF THIS CASE (IN NON-DIM UNITS) TO ESTIMATE THE
% TRANSIT TIME OF THIS CASE
data = ones(nend,2); %%% FOR TESTING ONLY %%%
%data_str = strcat(dir,fname,'_nondim_velocities.dat');
%data = load(data_str);
% using global average (as before)
vrms_g = data(:,2);
vmean = mean(vrms_g);
%transit_M = 1./vmean;
% using oceanic average only
%vrms_o = data(:,3);
%vmean = mean(vrms_o);
%transit_M = 1./vmean;
% SPECIFY PHYSICAL PROPERTIES
k0 = 3.15; % thermal conductivity in W/m/K
deltaT = 1300; % temperature drop across lithosphere in K
Tsurf = 273; % surface temperature in K
kappa0 = 1.0e-06; % thermal diffusivity in m/s^2
alpha0 = 3.0e-05; % thermal expansivity in 1/K
rho_m = 3300; % Density of mantle rock in kg/m^3
rho_w = 1000; % Density of ocean water in kg/m^3
drho = rho_m-rho_w; % Density contrast
ocean_area = 3.57e14; % Present-day oceanic area in m^2
Myr = 1./(365*24*60*60*1.0e6); % conversion from s to Ma
transit_E = 3.6e6*3.141e7; %2.68056e+15; % Earth's transit time in seconds
Radius = 6.371e6; % Earth's surface radius in m
Dscale = 2.890e6; % Earth's mantle thickness in m
% OTHER PARAMETERS SPECIFIC FOR CALCULATION
Cthresh = 0.50; % >continent, <ocean, default=0.5
WriteComposition = false; % continental roots or not, default=true
WriteBelts = false; % mobile belts or sutures, default=false, NOT YET TESTED
WriteContinent = false; % multiple continents (nrc field?), default=true
WriteAge = false;
WriteEdot = false;
Age_thresh = 0.05; % non-dim ages larger than that are neglected,default=0.05
incr = 0.00025; % non-dim size of age bins,default=0.00025
incr_dim = 2.5e+14/21; % dim size of age bins in seconds,default=2.5e14
% PARAMETER SPECIFIC FOR AGE/BATHYMETRY CALCULATION
min_age = 0.0; % non-dim minimum age
max_age = 0.1; % non_dim maximum age
min_age_dim = 0.0; % dimensional minimum age in seconds
max_age_dim = 1.0e17; % dimensional maximum age in seconds
b_incr = 100; % non-dim size of bathymetry bin,default=100
bath_min = 0.0; % minimum bathymetry,default=0.0
bath_max = 80000.0; % maximum bathymetry,default=8000
% DECIDE WHAT YOU WANT TO PLOT/SAVE
dimensional_units = false;
plotany = false;
projectT = false; save_projectT_data = false; % project temperature field and save it ?
projectC = false; save_projectC_data = false; % project composition field and save it ?
projectQ = false; save_projectQ_data = false; % project heatflow field and save it ?
projectAGE = false; save_projectAGE_data = false; % project seafloor age field and save it ?
projectBATH = false; save_projectBATH_data = false; % project bathymetry field and save it ?
projectETA = false; save_projectETA_data = false; % project viscosity field and save it ?
projectDIV = true; save_projectDIV_data = true; % project divergence field and save it ?
projectVOR = false; save_projectVOR_data = false; % project vorticity field and save it ?
projectVEL = false; % add surface velocity arrows to the switched-on field projections
projectEDOT = false; save_projectEdot_data = false;
save_age_hist_file = false; save_age_hist_plot = false; % save age histogram as figure and/or data files
save_bath_hist_file = false; save_bath_hist_plot = false; % save bathymetry histogram and/or data files
save_C0_CX = false;
save_hf_series = false;
% SPECIFY PARAMETERS NEEDED FOR PLOTTING
modulo = 20; % keep every 'modulo' arrow in quiver plots, neglect the others
arrowscale = 4.0; % Scaling factor for the arrows
ncontour = 20; % number of contour lines
FontSize = 18; % FontSize in all plots
FigSize = [1 200 1280 640]; % Dimension of rhe projection figures
% INITIALIZE ARRAYS/FIELDS
% ... time series
t = zeros(n,1); % Time
qgt = zeros(n,1); % Global surface heat flow
qot = zeros(n,1); % Oceanic surface heat flow
qct = zeros(ncont+1,n); % Continental surface heat flow
C0 = zeros(n,1); % Seafloor production rate from linear fit
CX = zeros(n,1); % Actual seafloor production rate (no fit)
mean_age = zeros(n,1); % Mean age of the seafloor
real_area = zeros(n,1); % Fraction of used seafloor to get mean age
ocean_basin = zeros(n,1); % Total volume of ocean basins
Tref = zeros(n,1); % Reference (suboceanic) temperature
F = zeros(n,1); % Time series of figure frame (needed for movies)
% ... non-dim age histograms
xhist = min_age:incr:max_age+incr; % non-dim age bin array
stack_nhist = zeros(length(xhist),2); % stacked age bin array
stack_harea = zeros(length(xhist),2); % stacked area per unit age array
MH = zeros(length(xhist),n); % Something ???
% ... dimensional age histograms
xhist_dim = min_age_dim:incr_dim:max_age_dim+incr_dim;
stack_nhist_dim = zeros(length(xhist_dim),2);
stack_harea_dim = zeros(length(xhist_dim),2);
MH_dim = zeros(length(xhist_dim),n);
% ... bathymetry histograms
bhist = bath_min:b_incr:bath_max+b_incr; % dimensional bathymetry bin array
na = zeros(length(xhist_dim),1); % like stack_nhist_dim for bathymetry
nb = zeros(length(bhist),1); % Something ???
% ... some counters
num = 1;
nstack1 = 0;
nstack2 = 0;
% START PROCESSING - MAIN TIME STEPPING LOOP
for itf=nstart:increment:nend
% if (itf == 452)
% projectAGE = true; save_projectAGE_data = true;
% else
% projectAGE = false; save_projectAGE_data = false;
% end
itf
nfn = num2str(itf);
if (itf<10)
nfn = strcat('0000',nfn);
elseif (itf >= 10 && itf < 100)
nfn = strcat('000',nfn);
elseif (itf >= 100 && itf < 1000)
nfn = strcat('00',nfn);
elseif (itf >= 1000 && itf < 10000)
nfn = strcat('0',nfn);
elseif (itf >= 99999)
error('Too many input files for unique saving!')
end
% SWITCH TO APPROPRIATE GEOMETRY
switch GridType
case 'YinYang'
% FIRST TIME STEP REQUIRES SOME ADDITIONAL INITIALIZATION - SKIP
% THAT IN FOLLOWING STEPS FOR SPEED
if (itf==nstart)
[nnb,~,~,Z_3D,T_3D(:,:,:,1),T_3D(:,:,:,2),time,c] = ReadStag3D2_251012(file_stem,itf,'temperature',false ,[1 1 1]);
nx = size(T_3D,1)
ny = size(T_3D,2)
nz = size(T_3D,3)
if (nx==64 && ny==192); Grid = load('Cell_area_YY_64x192x32_T');
elseif (nx==96 && ny==288); Grid = load('Cell_area_YY_96x288x48_T');
elseif (nx==128 && ny==384); Grid = load('Cell_area_YY_128_384');
elseif (nx==192 && ny==576); Grid = load('Cell_area_YY_192_576');
%Nicolas else
% error('Cannot get grid data - missing file')
end
% INITIALIZE COMPOSITIONAL FIELDS
C_3D = zeros(nx,ny,nz,nnb); % cratonic root
C1_3D = zeros(nx,ny,nz,nnb); % belt or suture
NRC_3D = zeros(nx,ny,nz,nnb); % continent number
CS_3D = zeros(nx,ny,nz,nnb); % Strain rate, remplacer nz par 2 pour topo
else
[~,~,~,~,T_3D(:,:,:,1),T_3D(:,:,:,2),time,~] = ReadStag3D2_251012(file_stem,itf,'temperature',false ,[1 1 1]);
end
% if WriteComposition; [~,~,~,~,C_3D(:,:,:,1),C_3D(:,:,:,2),~,~] = ReadStag3D2_251012(file_stem,itf,'cont root',false ,[1 1 1]); end
% if WriteBelts; [~,~,~,~,C1_3D(:,:,:,1),C1_3D(:,:,:,2),~,~] = ReadStag3D2_251012(file_stem,itf,'cont crust',false,[1 1 1]); end
if WriteContinent; [~,~,~,~,NRC_3D(:,:,:,1),NRC_3D(:,:,:,2),~,~] = ReadStag3D2_251012(file_stem,itf,'continent',false ,[1 1 1]); end
if WriteEdot; [~,~,~,~,CS_3D(:,:,:,1),CS_3D(:,:,:,2),~,~] = ReadStag3D2_251012(file_stem,itf,'strain rate',false ,[1 1 1]); end
if WriteAge; [~,~,~,~,AGE_3D(:,:,:,1),AGE_3D(:,:,:,2),~,~] = ReadStag3D2_251012(file_stem,itf,'age',false ,[1 1 1]); end
% COMBINE COMPOSITINOAL FIELDS TO ONE FIELD
sumC(:,:,1,1) = C_3D(:,:,nz,1) + C1_3D(:,:,nz,1);
sumC(:,:,1,2) = C_3D(:,:,nz,2) + C1_3D(:,:,nz,2);
if (projectETA)
[~,~,~,~,ETA_3D(:,:,:,1),ETA_3D(:,:,:,2),~,~] = ReadStag3D2_251012(file_stem,itf,'viscosity',false ,[1 1 1]);
end
if (projectVEL==false)
VX2D = 0.0; % dummy argument during call of function_project3Dfield
VY2D = 0.0; % dummy argument during call of function_project3Dfield
end
%Nico Topo - remplac par Edot
if (projectEDOT)
DATAYY(:,:,:) = CS_3D(:,:,ndepth,:);
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta*180./3.14159;
phid = phi*180./3.14159;
magic = 1;
cminmax = [0 1];
time1 = time;
log = false;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
end
if (dimensional_units)
% dimensionallzation using transit time approach
% v [m/s] = v' * transit_M*Dscale/transit_E
% v [cm/a] = v [m/s] * 100 cm/m * 3.1536e7 s/a
if (projectVEL)
VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
end
time1 = (time-t0)*transit_E/transit_M*3.170979e-17; % in Gyr
% Composition is always non-dimensional
end
[h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
fig_num = 1000000*magic+itf;
save_pdf = true;
save_eps = false;
save_jpg = false;
save_png = false;
save_str = strcat(dir,fname,'_n',nfn,'_project_Edot');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
close(h)
if (save_projectEdot_data)
[DAT] = savedata(DATA2D,thetad,phid);
save_string = strcat(dir,fname,'_n',nfn,'_project_Edot.dat');
save(save_string,'DAT','-ascii');
end
end
%Nico Topo
if (projectC)
DATAYY(:,:,:) = NRC_3D(:,:,nz,:);
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta*180./3.14159;
phid = phi*180./3.14159;
magic = 1;
cminmax = [0 1];
time1 = time;
log = false;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
end
if (dimensional_units)
% dimensionallzation using transit time approach
% v [m/s] = v' * transit_M*Dscale/transit_E
% v [cm/a] = v [m/s] * 100 cm/m * 3.1536e7 s/a
if (projectVEL)
VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
end
time1 = (time-t0)*transit_E/transit_M*3.170979e-17; % in Gyr
% Composition is always non-dimensional
end
[h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
fig_num = 1000000*magic+itf;
save_pdf = true;
save_eps = false;
save_jpg = false;
save_png = false;
save_str = strcat(dir,fname,'_n',nfn,'_projectC');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
close(h)
if (save_projectC_data)
[DAT] = savedata(DATA2D,thetad,phid);
save_string = strcat(dir,fname,'_n',nfn,'_t',time_str,'_projectC.dat');
save(save_string,'DAT','-ascii');
end
end
if (projectT)
resT_3D = zeros(nx,ny,nz,2);
hormeanT = 0.0;
horvol = 0.0;
%Load volumes of celles
for ib = 1:2
for iz = 1:nz
for iy = 1:ny
for ix = 1:nx
l = (ib-1)*nx*ny*nz + (iz-1)*nx*ny + (iy-1)*nx + ix;
dvol(ix,iy,iz) = 1.;%Grid(l,1);
end
end
end
end
iz = ndepth;
for iy = 1:ny
for ix = 1:nx
hormeanT = hormeanT + (T_3D(ix,iy,iz,1) + T_3D(ix,iy,iz,2))*dvol(ix,iy,iz);
horvol = horvol + 2*dvol(ix,iy,iz);
end
end
hormeanT = hormeanT / horvol
resT_3D(:,:,iz,1) = (T_3D(:,:,iz,1) - hormeanT)/hormeanT;
resT_3D(:,:,iz,2) = (T_3D(:,:,iz,2) - hormeanT)/hormeanT;
%DATAYY(:,:,:) = T_3D(:,:,ndepth,:);
DATAYY(:,:,:) = resT_3D(:,:,iz,:);
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta*180./3.14159;
phid = phi*180./3.14159;
magic = 2;
cminmax = [0 max(max(DATA2D))];
time1 = time;
log = false;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
end
if (dimensional_units)
DATA2D = DATA2D/Tscale*deltaT+Tsurf;
if (projectVEL)
VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
end
time1 = (time-t0)*transit_E/transit_M*3.170979e-17;
cminmax = [Tsurf max(max(DATA2D))];
end
[h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
fig_num = 1000000*magic+itf;
save_pdf = true;
save_eps = false;
save_jpg = false;
save_png = false;
save_str = strcat(dir,fname,'_n',nfn,'_projectResT');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
close(h)
if (save_projectT_data)
ddepth= num2str(ndepth);
[DAT] = savedata(DATA2D,thetad,phid);
save_string = strcat(dir,fname,'_d',ddepth,'_project_ResT.dat');
if (dimensional_units); save_string = strcat(dir,fname,'_d',ddepth,'_project_dim_ResT.dat'); end
save(save_string,'DAT','-ascii');
end
end
if (projectQ)
DATAYY(:,:,:) = fg2D(:,:,:);
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta*180./3.14159;
phid = phi*180./3.14159;
magic = 3;
cminmax = [0 max(max(DATA2D))];
time1 = time;
log = false;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
end
if (dimensional_units)
if (projectVEL)
VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
end
DATA2D = DATA2D*k0*deltaT/mean(subTo(nstart:nend))/sqrt(kappa0*transit_E/transit_M)*1.e3;
time1 = (time-t0)*transit_E/transit_M*3.170979e-17;
cminmax = [0 200];
end
[h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
fig_num = 1000000*magic+itf;
save_pdf = true;
save_eps = false;
save_jpg = false;
save_png = false;
save_str = strcat(dir,fname,'_n',nfn,'_projectQ');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
close(h)
if (save_projectQ_data)
[DAT] = savedata(DATA2D,thetad,phid);
save_string = strcat(dir,fname,'_t',time_str,'_project_Q.dat');
if (dimensional_units); save_string = strcat(dir,fname,'_t',time_str,'_project_dim_Q.dat'); end
save(save_string,'DAT','-ascii');
end
end
if (projectAGE)
DATAYY(:,:,:) = AGE_3D(:,:,nz,:);%AGEYY(:,:,:);
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta*180./3.14159; %theta*180./3.14159;
phid = phi*180./3.14159; %phi*180./3.14159;
magic = 4;
cminmax = [0 300];
time1 = time;
log = false;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
end
if (dimensional_units)
% Ages are dimensional already
if (projectVEL)
VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
end
time1 = (time-t0)*transit_E/transit_M*3.170979e-17;
end
[h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
fig_num = 1000000*magic+itf;
save_pdf = true;
save_eps = false;
save_jpg = false;
save_png = false;
save_str = strcat(dir,fname,'_n',nfn,'_projectAGE');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
close(h)
if (save_projectAGE_data)
[DAT] = savedata(DATA2D,thetad,phid);
time1s = num2str(time1);
save_str = strcat(dir,fname,'-age',nfn,'.dat');
save(save_str,'DAT','-ascii');
end
end
if (projectBATH)
DATAYY(:,:,:) = bathYY(:,:,:);
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta*180./3.14159;
phid = phi*180./3.14159;
magic = 5;
cminmax = [bath_min bath_max];
time1 = time;
log = false;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
end
if (dimensional_units)
% Bathymetry is dimensional already
if (projectVEL)
VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
end
time1 = (time-t0)*transit_E/transit_M*3.170979e-17;
end
[h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
fig_num = 1000000*magic+itf;
save_pdf = true;
save_eps = false;
save_jpg = false;
save_png = false;
save_str = strcat(dir,fname,'_n',nfn,'_projectBATH');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
close(h)
if (save_projectBATH_data)
[DAT] = savedata(DATA2D,thetad,phid);
save_str = strcat(dir,fname,'_t',time_str,'_project_dim_Bath.dat');
save(save_str,'DAT','-ascii');
end
end
if (projectETA)
DATAYY(:,:,:) = ETA_3D(:,:,nz,:);
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta*180./3.14159;
phid = phi*180./3.14159;
magic = 6;
cminmax = [0.1 1e+6];
time1 = time;
log = true;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
end
if (dimensional_units)
DATA2D = DATA2D*Eta_Ref;
%Nicolas if (projectVEL)
% VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
% VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
% end
cminmax = [1.e+21 1.e+28];
time1 = (time-t0)*transit_E/transit_M*3.170979e-17;
end
%Nicolas [h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
% fig_num = 1000000*magic+itf;
% save_pdf = true;
% save_eps = false;
% save_jpg = false;
% save_png = false;
% save_str = strcat(dir,fname,'_n',nfn,'_projectETA');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
% close(h)
if (save_projectETA_data)
[DAT] = savedata(DATA2D,thetad,phid);
save_string = strcat(dir,fname,nfn,'_project_Eta.dat');
if (dimensional_units); save_string = strcat(dir,fname,'_project_dim_Eta.dat'); end
save(save_string,'DAT','-ascii');
end
end
if (projectDIV)
[~,~,~,~,DIV_3D(:,:,:,1),DIV_3D(:,:,:,2),~,~] = ReadStag3D2_251012(file_stem,itf,'divergence',false ,[1 1 1]);
DATAYY(:,:,:) = DIV_3D(:,:,nz,:); % surface layer only
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta/3.14159*180. %theta*180./3.14159;
phid = phi/3.14159*180.;%phi*180./3.14159;
magic = 13;
cminmax = [-0.1/kappa0 0.1/kappa0]; % might need adjustment
time1 = time;
log = false;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
%Nicolas save data
[THD PHD] = meshgrid(thetad,phid);
ntheta = length(thetad);
nphi = length(phid);
DAT = zeros(ntheta*nphi,4);
for ith = 1:ntheta
for iph = 1:nphi
ilg = (ith-1)*nphi + iph;
DAT(ilg,1) = PHD(iph,ith);
DAT(ilg,2) = THD(iph,ith);
DAT(ilg,3) = VX2D(ith,iph);
DAT(ilg,4) = VY2D(ith,iph);
end
end
save_string = strcat(dir,fname,nfn,'_project_VEL.dat');
if (dimensional_units); save_string = strcat(dir,fname,'-vel',nfn,'.dat'); end
save(save_string,'DAT','-ascii');
end
if (dimensional_units)
DATA2D = DATA2D*kappa0;
if (projectVEL)
VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
end
cminmax = [-0.1 0.1]; % might need adjustment
time1 = (time-t0)*transit_E/transit_M*3.170979e-17;
end
%Nicolas [h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
% fig_num = 1000000*magic+itf;
% save_pdf = true;
% save_eps = false;
% save_jpg = false;
% save_png = false;
% save_str = strcat(dir,fname,'_n',nfn,'_projectDIV');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
% close(h)
if (save_projectDIV_data)
[DAT] = savedata(DATA2D,thetad,phid);
save_string = strcat(dir,'serie1',nfn,'_project_DIV.dat');
if (dimensional_units); save_string = strcat(dir,fname,'-div',nfn,'.dat'); end
DATNN=DAT(:,3);
save(save_string,'DATNN','-ascii');
end
end
if (projectVOR)
[~,~,~,~,VOR_3D(:,:,:,1),VOR_3D(:,:,:,2),~,~] = ReadStag3D2_251012(file_stem,itf,'vorticity',false ,[1 1 1]);
DATAYY(:,:,:) = VOR_3D(:,:,nz,:); % surface layer only
[DATA2D,theta,phi] = YYtoMap2(DATAYY);
thetad = 90.-theta*180./3.14159;%-theta*180./3.14159;
phid = phi*180./3.14159;%phi*180./3.14159;
magic = 14;
cminmax = [-0.1/kappa0 0.1/kappa0]; % might need adjustment
time1 = time;
log = false;
if (projectVEL) % add quiver?
[VX2D,VY2D] = transform_VEL(dir,fname,itf);
end
if (dimensional_units)
DATA2D = DATA2D*kappa0;
if (projectVEL)
VX2D = Dscale*transit_M/transit_E*3.1536e9*VX2D;
VY2D = Dscale*transit_M/transit_E*3.1536e9*VY2D;
end
cminmax = [-0.1 0.1]; % might need adjustment
time1 = (time-t0)*transit_E/transit_M*3.170979e-17; % in Gyr
end
[h,time_str] = function_project3Dfield(DATA2D,thetad,phid,FontSize,ncontour,time1,itf,magic,FigSize,VX2D,VY2D,arrowscale,modulo,projectVEL,cminmax,dimensional_units,log,1);
fig_num = 1000000*magic+itf;
save_pdf = true;
save_eps = false;
save_jpg = false;
save_png = false;
save_str = strcat(dir,fname,'_n',nfn,'_projectVOR');
% NICO [ierr] = savecoolplots(save_str,fig_num,save_pdf,save_eps,save_jpg,save_png);
close(h)
if (save_projectVOR_data)
[DAT] = savedata(DATA2D,thetad,phid);
save_string = strcat(dir,fname,'_t',time_str,'_project_VOR.dat');
if (dimensional_units); save_string = strcat(dir,fname,'-vor',nfn,'.dat'); end
save(save_string,'DAT','-ascii');
end
end
case 'Annullus'
if (itf == nstart)
warning('Age Distribution is probably biased in 2D!')
% 2D benchmark of heat flow
% load_str = strcat(dir,fname,'_time.dat');
% HFDAT = load(load_str);
% hftime = HFDAT(:,2);
% hfdata = HFDAT(:,3);
[nnb,~,~,Z_3D,T_3D,time,rcmb] = ReadStag3D2_251012(file_stem,itf,'temperature',false,[1 1 1]);
nx = 1;
ny = size(T_3D,2);
nz = size(T_3D,3);
% CALCULATE SURFCE CELL AREAS - EASY, ALL CELLS HAVE THE SAME SIZE
darea = zeros(nx,ny);
darea(:,:) = 2*pi*Radius/ny;
dimarea = Radius;
% INITIALIZE COMPOSITIONAL FIELDS
C_3D = zeros(nx,ny,nz,nnb);
C1_3D = zeros(nx,ny,nz,nnb);
NRC_3D = zeros(nx,ny,nz,nnb);
sumC = zeros(nx,ny,1,nnb);
else
tic
[~,~,~,~,T_3D,time,~] = ReadStag3D2_290611(dir,fname,itf,'temperature');
end
if WriteComposition; [~,~,~,~,C_3D,~,~] = ReadStag3D2_251012(file_stem,itf,'cont root' ,false ,[1 1 1]); end
if WriteBelts; [~,~,~,~,C1_3D,~,~] = ReadStag3D2_251012(file_stem,itf,'cont crust',false ,[1 1 1]); end
if WriteContinent; [~,~,~,~,NRC_3D,~,~] = ReadStag3D2_251012(file_stem,itf,'continent' ,false ,[1 1 1]); end
sumC(:,:,1,:) = C_3D(:,:,nz) + C1_3D(:,:,nz,:);
% CALCULATION OF SURFACE HEAT FLUX VIA FOURIERS LAW
qg = 0.0;
qo = 0.0;
qc = zeros(ncont+1,1);
fo = 0.0;
fg = 0.0;
fc = zeros(ncont+1,1);
qg_area = 0.0;
qo_area = 0.0;
qc_area = zeros(ncont+1,1);
Ts = zeros(nx,ny,2);
barea = zeros(length(bhist),1);
harea = zeros(length(xhist),1);
harea_dim = zeros(length(xhist_dim),1);
domain_depth = Rsurf-rcmb;
dzf = 2*(domain_depth - Z_3D(1,1,nz));
for iy = 1:ny
for ix = 1:nx
% surface temperature (do it like Paul in STAG's subroutine topbotflux
Ts(ix,iy,1) = - T_3D(ix,iy,nz);
Ts(ix,iy,2) = + T_3D(ix,iy,nz);
% global heatflux
fg = (Ts(ix,iy,2) - Ts(ix,iy,1))/dzf;
qg = qg + fg*darea(ix,iy);
qg_area = qg_area + darea(ix,iy);
% oceanic heatflux
if (sumC(ix,iy,1,1) <= Cthresh)
fo = (Ts(ix,iy,2)-Ts(ix,iy,1))/dzf;
if (fo>0. && darea(ix,iy)>0.);
qo = qo + fo*darea(ix,iy);
qo_area = qo_area + darea(ix,iy);
if (itf > 0)
age(1) = subTo(itf)^2/(pi*fo*fo);
Toc = subTo(itf)*deltaT/Tscale + Tsurf;
else
age(1) = subTo(itf+1)^2/(pi*fo*fo);
Toc = subTo(itf+1)*deltaT/Tscale + Tsurf;
end
age(2) = darea(ix,iy);
age(3) = age(1)*transit_E/transit_M;
% Calculate the bathymetry in that cell from the age
AGEYY(ix,iy) = age(3)*Myr;
bathYY(ix,iy) = 2*alpha0*rho_m/drho*(Toc-Tsurf)*sqrt(kappa0/Myr/pi)*sqrt(AGEYY(ix,iy));
for ixh = 1:length(xhist)-1 % non-dimensional
if (age(1) > xhist(ixh) && age(1) <= xhist(ixh+1))
harea(ixh) = harea(ixh) + age(2);
end
end
for ixh = 1:length(xhist_dim)-1 % dimensional
if (age(3) > xhist_dim(ixh) && age(3) <= xhist_dim(ixh+1))
harea_dim(ixh) = harea_dim(ixh) + age(2)*dimarea;
na(ixh) = na(ixh) + 1;
end
end
for ibh = 1:length(bhist)-1 % same for bathymetry
if (bathYY(ix,iy) > bhist(ibh) && bathYY(ix,iy) <= bhist(ibh+1))
barea(ibh) = barea(ibh) + darea(ix,iy)*dimarea;
nb(ibh) = nb(ibh) + 1;
end
end
end
end
% continental heatflux
if (sumC(ix,iy,1,1) >= Cthresh)
fc(ncont+1) = (Ts(ix,iy,2) - Ts(ix,iy,1))/dzf;
qc(ncont+1) = qc(ncont+1) + fc(ncont+1)*darea(ix,iy);
qc_area(ncont+1) = qc_area(ncont+1) + darea(ix,iy);
for icont = 1:ncont
if (NRC_3D(ix,iy,nz) == icont)
fc(icont) = (Ts(ix,iy,2) - Ts(ix,iy,1))/dzf;
qc(icont) = qc(icont) + fc(icont)*darea(ix,iy);
qc_area(icont) = qc_area(icont) + darea(ix,iy);
end
end
end
end
end
qg = qg / qg_area;
qo = qo / qo_area;
for icont = 1:ncont+1
qc(icont) = qc(icont) / qc_area(icont);
end
case 'Cartesian'
error('Cartesian geometry not yet implemented!')
end
% UPDATE COUNTER
num = num+1;
tic
end % END-OF_TIMESTEP LOOP