2008
DOI: 10.1002/num.20408
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An efficient TVD‐WENO method for conservation laws

Abstract: In this article, we present a high-resolution hybrid scheme for solving hyperbolic conservation laws in one and two dimensions. In this scheme, we use a cheap fourth order total variation diminishing (TVD) scheme for smooth region and expensive seventh order weighted nonoscillatory (WENO) scheme near discontinuities. To distinguish between the smooth parts and discontinuities, we use an efficient adaptive multiresolution technique. For time integration, we use the third order TVD Runge-Kutta scheme. The accura… Show more

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