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http://dx.doi.org/10.12941/jksiam.2013.17.029

A TREATMENT OF CONTACT DISCONTINUITY FOR CENTRAL UPWIND SCHEME BY CHANGING FLUX FUNCTIONS  

Shin, Moungin (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY)
Shin, Suyeon (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY)
Hwang, Woonjae (DEPARTMENT OF INFORMATION AND MATHEMATICS, KOREA UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.17, no.1, 2013 , pp. 29-45 More about this Journal
Abstract
Central schemes offer a simple and versatile approach for computing approximate solutions of nonlinear systems of hyperbolic conservation laws. However, there are large numerical dissipation in case of contact discontinuity. We study semi-discrete central upwind scheme by changing flux functions to reduce the numerical dissipation and we perform numerical computations for various problems in case of contact discontinuity.
Keywords
contact discontinuity; central upwind scheme; flux function; conservation laws;
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Times Cited By KSCI : 1  (Citation Analysis)
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