Year: 2000
Author: Hua-Zhong Tang
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 3 : pp. 313–324
Abstract
In this first paper we present a central relaxing scheme for scalar conservation laws, based on using the local relaxation approximation. Our scheme is obtained without using linear or nonlinear Riemann solvers. A cell entropy inequality is studied for the semidiscrete central relaxing scheme, and a second order MUSCL scheme is shown to be TVD in the zero relaxation limit. The next paper will extend the central relaxing scheme to multi-dimensional systems of conservation laws in curvilinear coordinates, including numerical experiments for 1D and 2D problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JCM-9045
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 3 : pp. 313–324
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Hyperbolic conservation laws the relaxing scheme TVD cell entropy inequality.