Mapped WENO Reconstructions in Relaxation Scheme for Hyperbolic Conservation Laws

• Published in: 2009 International Joint Conference on Computational Sciences and Optimization : 24-26 April 2009 Vol. 1; pp. 262 - 265
• Main Authors: Jianzhong Chen, Zhongke Shi, Yanmei Hu
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.04.2009
• Subjects: Approximation methods; Automation; Differential equations; Educational institutions; Eigenvalues and eigenfunctions; Finite difference methods; Linear systems; Water conservation

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 i...