| 流体力学方程的间断有限元方法 |
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| 引用本文： | 蔚喜军,周铁.流体力学方程的间断有限元方法[J].计算物理,2005,22(2):108-116. |
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| 作者姓名： | 蔚喜军 周铁 |
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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,北京,100088;北京大学数学系,北京,100871 |
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| 基金项目： | 863高技术惯性约束聚变主题，国家自然科学基金(10471011)，中物院基金资助项目 |
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| 摘 要： | 在二维区域三角形网格上应用一阶、二阶和三阶精度间断有限元方法,对流体力学方程和方程组进行了数值模拟.计算结果与差分方法计算结果比较,认为间断有限元方法在求解复杂边界条件和区域问题上有一定的优势.
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| 关 键 词： | 三角形网格 间断有限元方法 前台阶问题 双马赫反射问题 |
| 文章编号： | 1001-246X(2005)02-0108-09 |
| 收稿时间： | 2003-11-26 |
| 修稿时间： | 2003年11月26 |
Discontinuous Finite Element Methods for Solving Hydrodynamic Equations |
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| YU Xi-jun,ZHOU Tie.Discontinuous Finite Element Methods for Solving Hydrodynamic Equations[J].Chinese Journal of Computational Physics,2005,22(2):108-116. |
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| Authors: | YU Xi-jun ZHOU Tie |
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| Institution: | 1. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;2. Department of Mathematics, Peking University, Beijing 100871, China |
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| Abstract: | The discontinuous finite element method with first, second and third order accuracy on triangular meshes on two-dimensional domain is applied to simulate hydrodynamic equations. The calculation results are compared with those from difference methods. It is reckoned that the discontinuous finite element method has advantages in solving hydrodynamic problems with complicated boundary conditions or a domain with a complicated boundary. |
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| Keywords: | triangular mesh discontinuous finite element method wind tunnel with a step double Mach reflection of a strong shock |
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