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arXiv · 1511.01346

A Runge-Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes

Dian-liang Qiao·Peng Zhang·Zhi-yang Lin·S. C. Wong·Keechoo Choi
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Abstract

The paper proposes a scheme by combining the Runge-Kutta discontinuous Galerkin method with a {\delta}-mapping algorithm for solving hyperbolic conservation laws with discontinuous fluxes. This hybrid scheme is particularly applied to nonlinear elasticity in heterogeneous media and multi-class traffic flow with inhomogeneous road conditions. Numerical examples indicate the scheme's efficiency in resolving complex waves of the two systems. Moreover, the discussion implies that the so-called {\delta}-mapping algorithm can also be combined with any other classical methods for solving similar problems in general.

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Dian-liang Qiao, Peng Zhang, Zhi-yang Lin, S. C. Wong, Keechoo Choi. 2015-10-31. A Runge-Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes. https://arxiv.org/abs/1511.01346

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