| ON THE CENTRAL RELAXING SCHEME Ⅱ: SYSTEMS OF HYPERBOLIC CONSERVATION LAWS |
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| 作者姓名： | Hua-zhong Tang |
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| 作者单位： | Hua-zhong Tang (School of Mathematical Sciences，Peking University，Beijing 100871，China) (LSEC，ICMSEC Academy of Mathematics and Systems Sciences，Chinese Academy of Sciences，Beijing 100080，China) |
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| 基金项目： | This project supported partly by National Natural Science Foundation of China (No.19901031), the specialFunds for Major State |
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| 摘 要： | 1. IntroductionWe are interested in construction of the central reltalng sChemes for system of noIilinearhyperbolic conservation lawswith initial data U(0, x) = Uo(x), x = (x1 ? ...! xd), based on the local relaJxation approkimationof Eq.(1.1) 2, 3, 6, 8, 9, 12].To i11ustrate the basic idea of the relaalng schemes, for the sake of simplicity in the presentation, we restrict our attention to onedimensional scalar conservaioll lawsFirst, introduce a linear hyperbollc system with a stiff sourc…
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On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws |
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| Hua-zhong Tang.On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws[J].Journal of Computational Mathematics,2001,19(6):571-582. |
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| Authors: | Hua-zhong Tang |
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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 con- structed as in 6, 12] without using any linear or nonlinear Riemann solvers. Numerical experiments for one-dimensional and two-dimensional problems are presented to demon- strate the performance and resolution of the current schemes. |
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| Keywords: | Hyperbolic conservation laws The relaxing system The central relaxing schemes The Euler equations |
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