Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471616 | Applied Mathematics Letters | 2018 | 9 Pages |
Abstract
We consider the scalar conservation laws with discontinuous flux function (1âH(x))g(u)+H(x)f(u), where f and g are smooth nonlinear functions, and H(x) is the Heaviside function. By entropy solutions of type (A,B), which is defined by Bürger et al. (2009), we introduce a simple and efficient Roe-type interface flux, which is Lipschitz continuous and monotone. Riemann solvers are not involved at the interface x=0. In addition, some numerical results are presented to demonstrate the behavior of this interface flux.
Related Topics
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Computational Mechanics
Authors
Guodong Wang, Yanbo Hu,