Title :
Mapped WENO Reconstructions in Relaxation Scheme for Hyperbolic Conservation Laws
Author :
Chen, Jianzhong ; Shi, Zhongke ; Hu, Yanmei
Author_Institution :
Coll. of Autom., Northwestern Polytech. Univ., Xi´´an, China
Abstract :
A new relaxation scheme for solving one-dimensional systems of conservation laws is presented in this paper. This scheme is based on combining a mapped weighted essentially nonoscillatory (WENO) reconstruction with relaxation approximation method proposed by Jin and Xin. The time discretization is implemented by an implicit-explicit Runge-Kutta method. The presented scheme is applied to the one-dimensional Euler equations subject to different initial data. The results demonstrate that our scheme has high accuracy and high-resolution properties.
Keywords :
Runge-Kutta methods; approximation theory; conservation laws; hyperbolic equations; relaxation theory; Jin and Xin; hyperbolic conservation law; implicit-explicit Runge-Kutta method; mapped WENO reconstruction; mapped weighted essentially nonoscillatory reconstruction; one-dimensional Euler equation; relaxation approximation method; Approximation methods; Automation; Differential equations; Educational institutions; Eigenvalues and eigenfunctions; Finite difference methods; Linear systems; Water conservation;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.258
