AMA! Ph.D. in geophysical fluid mechanics and stratified flows
Hi all! I defended my Ph.D. thesis back in 2019 and I also served as the creator and moderator for the subreddit r/FluidMechanics for a long time. I think with that I have gathered enough experience and courage to answer some of your queries. Some broad topics that I can answer questions on are:
computation fluid mechanics
scientific programming and HPC
nonlinear shallow water equations
statistical description of turbulence: spectra, energy budget etc.
So are you treating the Earth's crust as a shallow fluid layer? Or the mantle underneath? I would think the mantle is too thick for shallow water equations.
Usually for the troposphere or even the atmosphere and the ocean this can be a good model. As you said, I doubt if it can be used to represent lava flows under the earth - something a geologist would know and I am not one. 😀