Author:
Kurganov Alexander,Liu Yongle,Zeitlin Vladimir
Abstract
We propose a numerical dissipation switch, which helps to control the amount of numerical dissipation present in central-upwind schemes. Our main goal is to reduce the numerical dissipation without risking oscillations. This goal is achieved with the help of a more accurate estimate of the local propagation speeds in the parts of the computational domain, which are near contact discontinuities and shears. To this end, we introduce a switch parameter, which depends on the distributions of energy in the x- and y-directions. The resulting new central-upwind is tested on a number of numerical examples, which demonstrate the superiority of the proposed method over the original central-upwind scheme.
Funder
National Natural Science Foundation of China
Guangdong Provincial Key Laboratory of Computational Science and Material Design
French National Program LEFE-MANU
Subject
Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics
Cited by
7 articles.
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