On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws

On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws

Year:    2001

Author:    Hua-Zhong Tang

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 6 : pp. 571–582

Abstract

This paper continues to study the central relaxing schemes for system of hyperbolic conservation laws, based on the local relaxation approximation. Two classes of relaxing systems with stiff source term are introduced to approximate system of conservation laws in curvilinear coordinates. Based on them, the semi-implicit relaxing schemes are constructed as in [6,12] without using any linear or nonlinear Riemann solvers. Numerical experiments for one-dimensional and two-dimensional problems are presented to demonstrate the performance and resolution of the current schemes.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-9009

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 6 : pp. 571–582

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Hyperbolic conservation laws The relaxing system The central relaxing schemes The Euler equations.

Author Details

Hua-Zhong Tang