  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 where
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
centered approach. We study four tests cases related to atmospheric phenomena
to analyze the physical validity of the model.
