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Volume 19, Issue 6
On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws

Hua-Zhong Tang

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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COPYRIGHT: © Global Science Press

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@Article{JCM-19-571, author = {Tang , Hua-Zhong}, 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 AU - Tang , Hua-Zhong 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, The relaxing system, The central relaxing schemes, 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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