Modelling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes
Numerical Analysis
2015-06-03 v1 Numerical Analysis
Atmospheric and Oceanic Physics
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 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.
Keywords
Cite
@article{arxiv.1111.2267,
title = {Modelling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes},
author = {Dante Kalise and Ivar Lie},
journal= {arXiv preprint arXiv:1111.2267},
year = {2015}
}