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arXiv · 1111.1712

A study of a WENO-TVD finite volume scheme for the numerical simulation of atmospheric advective and convective phenomena

Dante Kalise
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Abstract

We present a WENO-TVD scheme for the simulation of atmospheric phenomena. The scheme considers a spatial discretization via a second-order TVD flux based upon a flux-centered limiter approach, which makes use of high-order accurate extrapolated values arising from a WENO reconstruction procedure. Time discretization is performed with a third order RK-TVD scheme, and splitting is used for the inclusion of source terms. We present a comprehensive performance study of the method in atmospheric applications involving advective and convective motion. We present a set of tests for space-dependent linear advection, where we assess convergence and robustness with respect to the parameters of the scheme. We apply the method to approximate the 2D Euler equations in a series of tests for atmospheric convection.

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Dante Kalise. 2011-11-07. A study of a WENO-TVD finite volume scheme for the numerical simulation of atmospheric advective and convective phenomena. https://arxiv.org/abs/1111.1712

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