A Runge-Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes
Autor: | Qiao, Dian-liang, Zhang, Peng, Lin, Zhi-yang, Wong, S. C., Choi, Keechoo |
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Rok vydání: | 2015 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 15 pages |
Databáze: | arXiv |
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