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

0021-9991/$ see front matter 2012 Elsevier Inc http://dx.doi.org/10.1016/j.jcp.2012.06.035 ⇑ Corresponding author. Tel.: +39 3277706003. E-mail addresses: [email protected] (D. Ka 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. 2012 Elsevier Inc. All rights reserved.