| 自适应间断有限元方法求解三维欧拉方程 |
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| 引用本文： | 吴迪,蔚喜军.自适应间断有限元方法求解三维欧拉方程[J].计算物理,2010,27(4):492-500. |
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| 作者姓名： | 吴迪 蔚喜军 |
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| 作者单位： | 1. 中国工程物理研究院研究生部, 北京 100088;2. 北京应用物理与计算数学研究所, 计算物理实验室, 北京 100088 |
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| 基金项目： | 国家自然科学基金，计算物理国家重点实验室基金资助项目 |
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| 摘 要： | 将龙格库塔间断有限元方法(RDDG)与自适应方法相结合,求解三维欧拉方程.区域剖分采用非结构四面体网格,依据数值解的变化采用自适应技术对网格进行局部加密或粗化,减少总体网格数目,提高计算效率.给出四种自适应策略并分析不同自适应策略的优缺点.数值算例表明方法的有效性.
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| 关 键 词： | 间断有限元方法 自适应方法 双曲守恒律方程 |
| 收稿时间： | 2009-04-29 |
| 修稿时间： | 2009-08-27 |
Adaptive Discontinuous Galerkin Method for Euler Equations |
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| WU Di,YU Xijun.Adaptive Discontinuous Galerkin Method for Euler Equations[J].Chinese Journal of Computational Physics,2010,27(4):492-500. |
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| Authors: | WU Di YU Xijun |
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| Institution: | 1. China Academy of Engineering Physics, Beijing Graduate Department, Beijing 100088, China;2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | We combine Runge-Kutta discontinuous finite element method(RKDG) with adaptive method to solve Euler equations.Domain is divided into unstructured tetrahedral meshes.Local mesh refinement technique is used.According to changes in numerical solution,mesh is refined or coarsened locally.Therefore,number of overall grids is reduced and computational efficiency is increased.We give four different adaptive strategies and analyze advantages and disadvantages.Finally,several examples validate the method. |
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| Keywords: | discontinuous finite element method adaptive method hyperbolic conservation law |
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