Introduce prognostic updraft velocity to saSAS and C3 convection schemes #2567
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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.
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Regression Test Changes (Please commit test_changes.list):
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