| 基于level set的Eulerian-Lagrangian耦合方法及其应用 |
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| 引用本文： | 贾祖朋,蔚喜军.基于level set的Eulerian-Lagrangian耦合方法及其应用[J].力学学报,2010,42(2):177-182. |
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| 作者姓名： | 贾祖朋 蔚喜军 |
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| 作者单位： | 北京应用物理与计算数学研究所, 计算物理实验室北京应用物理与计算数学研究所, 计算物理实验室 |
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| 基金项目： | 国家自然科学基金项目(10676004,10771019,10671025);;国家重点基础研究发展计划(973)项目(2005CB321700);;中国工程物理研究院科学技术基金项目(2008A0201009,2007A09006);;计算物理重点实验室基金项目(9140C690101070C69)资助~~ |
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| 摘 要： | 提出了一种基于水平集的Eulerian-Lagrangian耦合方法，其中Lagrangian方法采用相容显式有限元拉氏方法，Eulerian方法采用基于近似Riemann解的有限体积Eulerian方法，多介质界面处理采用新的水平集和Ghost方法计算. 给出了若干数值算例，包括激波管问题以及金属和气体的运动界面及其大变形问题，并分别与精确解和相容显式有限元拉氏方法的计算结果进行了对比. 数值结果表明，该方法计算结果正确，精度较高，能够准确捕捉物质界面，适用于处理大变形问题.
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| 关 键 词： | 大变形流体力学问题 多介质 Eulerian-Lagrangian耦合方法 水平集方法 近似Riemann解 |
| 收稿时间： | 2008-05-09 |
| 修稿时间： | 2009-09-28 |
A COUPLED EULERIAN-LAGRANGIAN METHOD BASED ON LEVEL SET AND ITS APPLICATIONS |
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| Jia Zupeng
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Yu Xijun.A COUPLED EULERIAN-LAGRANGIAN METHOD BASED ON LEVEL SET AND ITS APPLICATIONS[J].chinese journal of theoretical and applied mechanics,2010,42(2):177-182. |
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| Authors: | Jia Zupeng Yu Xijun |
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| Affiliation: | Institute of Applied Physics and Computational Mathematics, Laboratory of Computational Physics, Beijing 100094, ChinaInstitute of Applied Physics and Computational Mathematics, Laboratory of Computational Physics, Beijing 100094, China |
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| Abstract: | In this paper a coupled Eulerian-Lagrangian method based on level set for multi-material compressible fluid flow involving large deformation is presented.In the scheme,a Lagrangian method is used in the domain with small deformation while an Euler method is used in the domain with large deformation.The interface is treated by a new level set method and the Ghost Fluid method.Furthermore,an explicit compatible finite element method is employed as the Lagrangian method.In this Lagrangian method,the finite ele... |
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| Keywords: | large deformation hydrodynamic fluid problems multi-material problems coupled Eulerian-Lagrangian method level set approximate Riemann solver |
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