Mapped WENO Reconstructions in Relaxation Scheme for Hyperbolic Conservation Laws

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...

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Published in2009 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
LanguageEnglish
Published IEEE 01.04.2009
Subjects
Approximation methods
Automation
Differential equations
Educational institutions
Eigenvalues and eigenfunctions
Finite difference methods
Linear systems
Water conservation
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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.
AbstractList 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.
Author Jianzhong Chen
Zhongke Shi
Yanmei Hu
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Snippet 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...
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StartPage 262
SubjectTerms Approximation methods
Automation
Differential equations
Educational institutions
Eigenvalues and eigenfunctions
Finite difference methods
Linear systems
Water conservation
Title Mapped WENO Reconstructions in Relaxation Scheme for Hyperbolic Conservation Laws
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