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- W4292379817 abstract "We present a new implementation of the geometric method of Cullen & Purser (1984) for solving the semi-geostrophic Eady slice equations, which model large scale atmospheric flows and frontogenesis. The geometric method is a Lagrangian discretisation, where the PDE is approximated by a particle system. An important property of the discretisation is that it is energy conserving. We restate the geometric method in the language of semi-discrete optimal transport theory and exploit this to develop a fast implementation that combines the latest results from numerical optimal transport theory with a novel adaptive time-stepping scheme. Our results enable a controlled comparison between the Eady-Boussinesq vertical slice equations and their semi-geostrophic approximation. We provide further evidence that weak solutions of the Eady-Boussinesq vertical slice equations converge to weak solutions of the semi-geostrophic Eady slice equations as the Rossby number tends to zero." @default.
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- W4292379817 date "2022-11-01" @default.
- W4292379817 modified "2023-09-27" @default.
- W4292379817 title "A new implementation of the geometric method for solving the Eady slice equations" @default.
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- W4292379817 doi "https://doi.org/10.1016/j.jcp.2022.111542" @default.
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