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
Rok vydání:	2015
Předmět:	Mathematics - Numerical Analysis
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
Externí odkaz:	http://arxiv.org/abs/1511.01346 Zobrazit plný text záznamu View this record from Arxiv