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math.NA2025
Thermal quasi-geostrophic model on the sphere: derivation and structure-preserving simulation
Michael Roop, Sagy Ephrati
We derive the global model of thermal quasi-geostrophy on the sphere via asymptotic expansion of the thermal rotating shallow water equations. The model does not rely on the asympt…
math.NA2025
Spatio-temporal Lie-Poisson discretization for incompressible magnetohydrodynamics on the sphere
Klas Modin, Michael Roop
We give a structure preserving spatio-temporal discretization for incompressible magnetohydrodynamics (MHD) on the sphere. Discretization in space is based on the theory of geometr…