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Preprint 2011-024

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

Dante Kalise and Ivar Lie

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

Paper:
Available as PDF (1.1 Mbytes).
Author(s):
Dante Kalise
Ivar Lie
Submitted by:
; 2011-11-09.