| Burgers方程的声速点故障问题 |
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| 引用本文： | 吴昊,沈智军.Burgers方程的声速点故障问题[J].计算物理,2006,23(4):396-404. |
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| 作者姓名： | 吴昊 沈智军 |
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| 作者单位： | 1. 中国工程物理研究院研究生部, 北京 100088;2. 北京应用物理与计算数学研究所计算物理实验室, 北京 100088 |
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| 基金项目： | 中国物理研究院科研项目;中国工程物理研究院重点实验室基金;国家高技术研究发展计划(863计划) |
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| 摘 要： | 研究了在Burgers方程跨声速稀疏波计算中遇到的sonic point glitch问题,对它产生的原因及其与数值格式熵条件的关系进行了分析.对若干著名格式,按照是否满足熵条件进行了分类.为了消除sonic point glitch现象,提出了一种新的两步分裂方法,并用这种方法改进了一系列典型格式.数值试验表明这是一种很好的消除sonic point glitch的方法.
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| 关 键 词： | 迎风格式 Godunov格式 可压缩流 sonic point glitch 黎曼解法器 |
| 文章编号： | 1001-246X（2006）04-0396-09 |
| 收稿时间： | 2005-04-12 |
| 修稿时间： | 2005-06-24 |
On the Sonic Point Glitch of the Burgers' Equation |
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| WU Hao,SHEN Zhi-jun.On the Sonic Point Glitch of the Burgers' Equation[J].Chinese Journal of Computational Physics,2006,23(4):396-404. |
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| Authors: | WU Hao SHEN Zhi-jun |
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| Institution: | 1. Graduate School of China Academe of Engineering Physics, Beijing 100088, China;2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | We study the sonic point glitch of the Burgers'equation,which is formed in a sonic rarefaction fan.The reason of a sonic point glitch and the relation between the sonic point glitch and the entropy condition are discussed.According to these relations,several well-known schemes are classified into two and analyzed.In fact,the sonic point glitch appears only in the case of a transonic rarefaction wave.If the problem to be solved does not include transonic rarefaction waves,the difficulty in computation vanishes.Based on this idea,a new two-step splitting method eliminating the sonic point glitch is proposed.Numerical tests of applying the method to different schemes show that it is good in eliminating the sonic point glitch. |
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| Keywords: | sonic point glitch |
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