Introduce prognostic updraft velocity in saSAS and C3 convection #914
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Description
This development incorporates a new prognostic updraft velocity equation into the saSAS deep and shallow convection schemes. It is introduced as a module and will be easily added to the C3 scheme as well, once the modularized C3 code is in place.
The equation describes the time-evolution of convective updraft velocity, with buoyancy as a source term, and quadratic damping is due to aerodynamic drag and mixing/diffusion and linear damping from wind shear.
The equation is discretized using an implicit approach, and solved as a quadratic equation. For implementation details - please see: https://docs.google.com/document/d/13VH7DV4erJcuuF_-dUGpplk9uYHF6dalfx8l1fAIxe8/edit?tab=t.0
The prognostic updraft velocity is used in the prognostic closure if progsigma = true and progomega = true, it is also replacing the diagnostic updraft velocity in the adjustment time-scale computation if progomega = true (regardless of progsigma). I here implement the scheme using the default setting of progomega = false for further testing and evaluation, and thus no regression tests should fail and no new baselines are required.
Do PRs in upstream repositories need to be merged first?
If so add the "waiting for other repos" label and list the upstream PRs
Introduce prognostic updraft velocity to saSAS and C3 cumulus convection schemes ufs-community/ccpp-physics#246
Requirements before merging