Journal of Shanghai University(Natural Science Edition) ›› 2009, Vol. 15 ›› Issue (6): 594-599.

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Extended Finite Volume WENO Scheme for Solving Hyperbolic -Conservation Laws with Discontinuous Fluxes

ZHANG Peng,QIAO Dian-liang,LI Shu-feng   

  1. (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)
  • Received:2009-06-30 Online:2009-12-28 Published:2009-12-28

Abstract:

 This paper combines δ-mapping algorithm with the classical fifthorder finite volume weighted essentially non-oscillatory (WENO) scheme for numerical solution of hyperbolic conservation laws with discontinuous fluxes. Numerical examples show that the hybrid scheme is efficient when applied to nonlinear elasticity in heterogeneous media and a multi-class Lighthill-Whitham-Richards (LWR) traffic model. 

Key words: discontinuous fluxes; WENO reconstruction; elastic waves; traffic flow waves

CLC Number: