| HLLC黎曼解法器的优化与应用 |
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| 引用本文： | 贾月玲,温海瑞. HLLC黎曼解法器的优化与应用[J]. 北京理工大学学报, 2015, 35(4): 436-440. DOI: 10.15918/j.tbit1001-0645.2015.04.020 |
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| 作者姓名： | 贾月玲 温海瑞 |
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| 作者单位： | 北京应用物理与计算数学研究所,北京,100191;北京理工大学理学院,北京,100081 |
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| 基金项目： | 国家自然科学基金资助项目(11271051,11171039,11472059,2012A0202010) |
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| 摘 要： | 研究适合一般状态方程的HLLC近似黎曼解法器的音速熵故障问题. 受Oleinik熵条件的启发,基于HLL与HLLC黎曼解法器自身的特点及一阶迎风格式的数值黏性,利用HLL黎曼解法器的思想,通过设定阈值克服了HLLC黎曼解法器的跨音速稀疏波内的音障问题,使该解法器是整体满足熵条件的正格式,并应用到一步ALE方法中计算多介质问题. 数值算例显示了优化的特性.
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| 关 键 词： | 特征波速 HLLC黎曼解法器 优化与应用 音障问题 |
| 收稿时间： | 2013-07-21 |
Optimization and Application of the HLLC Riemann Solver |
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| JIA Yue-ling. Optimization and Application of the HLLC Riemann Solver[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2015, 35(4): 436-440. DOI: 10.15918/j.tbit1001-0645.2015.04.020 |
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| Authors: | JIA Yue-ling |
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| Affiliation: | Institute of Applied Physics and Computational Mathematics, Beijing 100191, China |
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| Abstract: | The entropy fix of the HLLC Riemann solver for the general equation of state was studied. Based on HLL and HLLC Riemann solvers' trait and the upwind characteristic, the idea of the HLL Riemann solver was used to overcome the sonic fix in the sonic rarefaction wave. Motivied by Olieinik's entropy condition, some threshold values were defined to kill the sonic fix, which can be used in the ALE methods for the multimaterial problems. Numerical experiments support the Modified HLLC Riemann solver. |
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| Keywords: | characteristic wave speed the HLLC Riemann solver optimization and application the sonic fix |
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