| 多分量流计算的高分辨KFVS有限体积方法 |
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| 引用本文： | 汤华中,邬华谟.多分量流计算的高分辨KFVS有限体积方法[J].计算物理,2000,17(1):179-186. |
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| 作者姓名： | 汤华中 邬华谟 |
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| 作者单位： | 中国科学院计算数学与科学工程计算所,北京,100080 |
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| 基金项目： | This work was supported in part by the National Natural Science Foundation of China, and by Laboratory of Computational Physics, Beijing Institute of Applied Physics and Computational Mathematics. |
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| 摘 要： | 论及高分辨分子动力学通向量分裂（ＫＦＶＳ）有限体积方法的推广。在方法中提出了适当修改Ｍａｘｗｅｌｌ平衡分布用以修复Ｅｕｌｅｒ方程。基于熟知的Ｅｕｌｅｒ方程与Ｂｏｌｔｚｍａｎｎ方程的关系提出了一类求解多分量Ｅｕｌｅｒ方程的高分辨分子动力爱向量分裂（ＫＦＶＳ）有限体积方法，应用该方法不需要求解任何Ｒｉｅｍａｎｎ问题或求附加的非守恒压力方程也需要任何非守恒修正。数值计算表明，数值解在物质界面附近无振荡，
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| 关 键 词： | Euler方程 多分量流 高分辨KFVS 有限体积方法 |
| 文章编号： | 1001-246X(2000)01-0179-08 |
| 修稿时间： | 1999年4月20日 |
HIGH RESOLUTION KFVS FINITE VOLUME METHODS FOR MULTICOMPONENT FLOW CALCULATIONS |
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| TANG Hua-zhong,WU Hua-mo.HIGH RESOLUTION KFVS FINITE VOLUME METHODS FOR MULTICOMPONENT FLOW CALCULATIONS[J].Chinese Journal of Computational Physics,2000,17(1):179-186. |
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| Authors: | TANG Hua-zhong WU Hua-mo |
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| Abstract: | It concerns the extension of high resolution kinetic flux-vector splitting (KFVS) finite volume methods. In this new method, a suitable modification of Maxwellian is proposed to recover the Euler equations with an additional conservative equation. Based on the well-known connection between Euler equations and Boltzmann equations, a class of high resolution KFVS finite volume methods are presented to solve Euler equations governing multicomponent flows. This method does not solve any Riemann problems and additional nonconservative equation satisfied by pressure,and needs not to add any nonconservative corrections The numerical solutions are oscillation-free near material fronts, and produce correct shock speeds. |
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| Keywords: | Euler equations flux vector splitting finite volume method multicomponent flows |
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