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math.NA2025
Entropic approximations of the semigeostrophic shallow water equations
Jean-David Benamou, Colin J. Cotter, Jacob J. M. Francis +1
We develop a discretisation of the semigeostrophic rotating shallow water equations, based upon their optimal transport formulation. This takes the form of a Moreau-Yoshida regular…
math.NA2025
A vertical slice frontogenesis test case for compressible nonhydrostatic dynamical cores of atmospheric models
Hiroe Yamazaki, Colin Cotter
A new test case is presented for evaluating the compressible dynamical cores of the atmospheric models. The test case is based on a compressible vertical slice model that can be ob…