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

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.
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https://hal.inria.fr/hal-00800377
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Submitted on : Wednesday, March 13, 2013 - 4:02:47 PM
Last modification on : Wednesday, July 27, 2016 - 2:48:48 PM

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Dante Kalise, Ivar Lie. Modelling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes. Journal of Computational Physics, Elsevier, 2012, 231 (21), pp.7274-7298. ⟨10.1016/j.jcp.2012.06.035⟩. ⟨hal-00800377⟩

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