Article ID Journal Published Year Pages File Type
4631267 Applied Mathematics and Computation 2011 9 Pages PDF
Abstract
In this paper, a modified semidiscrete central-upwind scheme is derived for the scalar conservation laws with a discontinuous flux function in space. The new scheme is based on dealing with the phase transition at the stationary discontinuity, where the unknown variable function is not continuous, but the flux function is continuous. The main advantages of the new scheme are the same as them of the original semidiscrete central-upwind scheme. Numerical results are displayed to illustrate the efficiency of the methods.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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