Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes

Authors:
Dante Kalise;Ivar Lie
Affiliations:
Dipartimento di Matematica, Universití di Roma "La Sapienza", P. Aldo Moro 2, 00185 Roma, Italy;Research and Development Department, StormGeo AS, Universitetsgata 8, 0164 Oslo, Norway
Venue:
Journal of Computational Physics
Year:
2012

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Abstract

The set of 3D inviscid primitive equations for the atmosphere is dimensionally reduced by a Discontinuous Galerkin discretization in one horizontal direction. The resulting model is a 2D system of balance laws with a source term depending on the layering procedure and the choice of coupling fluxes, which is established in terms of upwind considerations. The ''2.5D'' system is discretized via a WENO-TVD scheme based in a flux-limiter approach. We study four tests cases related to atmospheric phenomena to analyze the physical validity of the model.