Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes
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 WENOTVD scheme based in a flux-limiter approach. We study four tests cases related to atmospheric phenomena to analyze the physical validity of the model.
primitive equations discontinuous galerkin layering wenotvd schemes upwind flux test cases for dynamical cores