| 基于特征理论的二维无粘Lagrange流体力学有限体积法 |
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| 引用本文： | 孙宇涛,任玉新,于明,张树道.基于特征理论的二维无粘Lagrange流体力学有限体积法[J].计算物理,2011,28(1):19-26. |
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| 作者姓名： | 孙宇涛 任玉新 于明 张树道 |
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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. 清华大学工程力学系,北京,100084 |
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| 基金项目： | 国家自然科学基金(10932005和11072040); 中国工程物理研究院科学发展基金(2010B0201030)资助项目 |
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| 摘 要： | 提出一个求解二维无粘Lagrange流体力学方程的中心型有限体积方法.采用特征理论求解网格节点处的速度及压力,并利用这些物理量更新节点位置及计算网格界面通量.方法适用于结构网格与非结构网格.典型数值实验的结果表明,格式具有较好的收敛性、对称性、能量守恒性及鲁棒性,且能自然地求解多物质流动问题.
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| 关 键 词： | 二维Lagrange流体力学 特征理论 中心型格式 |
A Finite Volume Method for 2D In viscous Lagrangian Hydrodynamics Based on Characteristics Theory |
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| SUN Yutao,REN Yuxin,YU Ming,ZHANG Shudao.A Finite Volume Method for 2D In viscous Lagrangian Hydrodynamics Based on Characteristics Theory[J].Chinese Journal of Computational Physics,2011,28(1):19-26. |
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| Authors: | SUN Yutao REN Yuxin YU Ming ZHANG Shudao |
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| Institution: | SUN Yutao1,REN Yuxin2,YU Ming1,ZHANG Shudao1(1.Institute of Applied Physics and Computational Mathematics,Beijing 100094,China,2.Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China) |
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| Abstract: | We present a cell-centered finite volume method for 2D invicsous Lagrangian hydrodynamics.Velocity and pressure on vertex of a cell are computed with characteristics theory,which is derived from governing equations of Lagrangian form linearized by freezing Jacobian matrices about a known reference state.The velocity is used to update coordinate of vertex of a cell.Product of two variables is used to compute numerical flux through cell interface by a trapezoidal integration rule.Convergency,symmetry and cons... |
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| Keywords: | 2D Lagrangian hydrodynamics characteristics theory cell-centered scheme |
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