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| Lax-Wendroff时间离散的自适应间断有限元方法求解三维可压缩欧拉方程 | |
| 引用本文： | 冯涛,蔚喜军,安恒斌,崔霞,吴迪,李珍珍. Lax-Wendroff时间离散的自适应间断有限元方法求解三维可压缩欧拉方程[J]. 计算物理, 2013, 30(6): 791-798 |
| 作者姓名： | 冯涛 蔚喜军 安恒斌 崔霞 吴迪 李珍珍 |
| 作者单位： | 1. 中国科学技术大学数学科学学院, 合肥 230052;2. 中国工程物理研究院研究生部, 北京 100088;3. 北京应用物理与计算数学研究所计算物理实验室, 北京 100094;4. 新加坡国立大学, 新加坡 |
| 基金项目： | 国家自然科学基金(11171038,11171039)资助项目 |
| 摘 要： | 应用自适应LWDG方法求解三维双曲守恒律方程组,与传统的二阶RKDG方法相比,该方法具有计算量小和精度高的特点.给出一种自适应策略,其中均衡折中策略适用于非相容四面体网格.将二维情形下的后验误差指示子推广到三维双曲守恒律方程组中,数值实验证明了方法的有效性. |
| 关 键 词： | 双曲守恒律方程 Lax-Wendroff间断有限元方法 自适应方法 |
| 收稿时间： | 2012-12-21 |
| 修稿时间： | 2013-04-22 |
Adaptive Discontinuous Galerkin Method with Lax-Wendroff Type Time Discretization and Three-dimensional Nonconforming Tetrahedral Mesh for Euler Equations |
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| FENG Tao,YU Xijun,AN Hengbin,CUI Xia,WU Di,LI Zhenzhen. Adaptive Discontinuous Galerkin Method with Lax-Wendroff Type Time Discretization and Three-dimensional Nonconforming Tetrahedral Mesh for Euler Equations[J]. Chinese Journal of Computational Physics, 2013, 30(6): 791-798 | |
| Authors: | FENG Tao YU Xijun AN Hengbin CUI Xia WU Di LI Zhenzhen |
| Affiliation: | 1. University of Science and Technology of China, Hefei 230052, China;2. Graduate School of China Academy Engineering Physics, Beijing 100088, China;3. National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;4. The National University of Singapore, Singapore |
| Abstract: | We present a Lax-Wendroff discontinuous Galerkin (LWDG) method combining with adaptive mesh refinement (AMR) to solve three-dimensional hyperbolic conservation laws. Compared with Runge-Kutta discontinuous finite element method (RKDG) the method has higher efficiency. We give an effective adaptive strategie. Equidistribution strategy is easily implemented on nonconforming tetrahedral mesh. Error indicator is introduced to solve three-dimensional Euler equations. Numerical experiments demonstrate that the method has satisfied numerical efficiency. |
| Keywords: | hyperbolic conservation laws Lax-Wendroff discontinuous Galerkin method adaptive mesh refinement |
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