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We present a WENO-TVD scheme for the simulation of atmospheric phenomena. Thescheme considers a spatial discretization via a second-order TVD flux basedupon a flux-centered limiter approach, which makes use of high-order accurateextrapolated values arising from a WENO reconstruction procedure. Timediscretization is performed with a third order RK-TVD scheme, and splitting isused for the inclusion of source terms. We present a comprehensive performancestudy of the method in atmospheric applications involving advective andconvective motion. We present a set of tests for space-dependent linearadvection, where we assess convergence and robustness with respect to theparameters of the scheme. We apply the method to approximate the 2D Eulerequations in a series of tests for atmospheric convection.

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