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

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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https://hal.inria.fr/hal-01123102
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  • HAL Id : hal-01123102, version 1
  • ARXIV : 1111.1712

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Dante Kalise. A study of a WENO-TVD finite volume scheme for the numerical simulation of atmospheric advective and convective phenomena. Hyperbolic Problems: Theory, Numerics, Applications, pp.717-724, 2014, AIMS Series on Applied Mathematics, 1-60133-017-0. ⟨hal-01123102⟩

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