| 相容拉氏方法中的ADRS近似Riemann解算器 |
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| 引用本文： | 刘妍,茅德康.相容拉氏方法中的ADRS近似Riemann解算器[J].计算物理,2020,37(2):140-152. |
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| 作者姓名： | 刘妍 茅德康 |
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| 作者单位： | 1. 北京应用物理与计算数学研究所, 北京 100094;2. 上海大学数学系, 上海 200444 |
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| 摘 要： | 基于可压缩多介质流动问题,分析AC(acoustic),MFCAV(multi fluid channel on averaged volume)和HLLC等近似Riemann解算器的优缺点,通过加权组合的方式设计一种自适应近似Riemann解算器ADRS(adaptive Riemann solver),详细介绍加权组合的自适应选取原则.将ADRS写成AC解算器的修正形式应用于健壮性好的相容中心型拉氏方法.给出Taylor Green vortex稳态流问题的误差分析等数值算例.
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| 关 键 词： | 中心型拉氏方法 交错型拉氏方法 近似Riemann解算器 |
| 收稿时间： | 2018-12-23 |
| 修稿时间： | 2019-04-23 |
An ADRS Approximated Riemann Solver in Compatible Lagrangian Method |
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| LIU Yan,MAO Dekang.An ADRS Approximated Riemann Solver in Compatible Lagrangian Method[J].Chinese Journal of Computational Physics,2020,37(2):140-152. |
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| Authors: | LIU Yan MAO Dekang |
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| Institution: | 1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;2. Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | Analyzing advantages and disadvantages of three Riemann solvers of AC(Acoustic), MFCAV(Multi Fluid Channel on Averaged Volume) and HLLC for compressible multimaiterial fluid problems, we constructed an adaptive Riemann solver(ADRS) as a weighted average of three solvers. Rule for designing weights is discussed in detail. ADRS Riemann solver is applied to a compatible cell-centered Lagrangian method which resisting spurious mesh deformation by viewing MFCAV as a modification of AC solver. Numerical examples include Taylor Green vortex problem are given to show efficiency of the method. |
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| Keywords: | cell-centered Lagrangian method staggered Lagrangian method approximate Riemann solver |
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