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

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Volume 19, Issue 6

Hua Zhong Tang

DOI:

J. Comp. Math., 19 (2001), pp. 571-582

Published online: 2001-12

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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.

Keywords

Hyperbolic conservation laws The relaxing system The central relaxing schemes The Euler equations

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@Article{JCM-19-571, author = {}, title = {On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {6}, pages = {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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9009.html} }

TY - JOUR T1 - On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws JO - Journal of Computational Mathematics VL - 6 SP - 571 EP - 582 PY - 2001 DA - 2001/12 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9009.html KW - Hyperbolic conservation laws KW - The relaxing system KW - The central relaxing schemes KW - The Euler equations AB - 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.

Hua Zhong Tang. (1970). On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws. Journal of Computational Mathematics. 19 (6). 571-582. doi:

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