| 双曲守恒律的Taylor-Galerkin有限元方法 |
| |
| 引用本文： | 蔚喜军,符鸿源.双曲守恒律的Taylor-Galerkin有限元方法[J].计算物理,2000,17(6):611-618. |
| |
| 作者姓名： | 蔚喜军 符鸿源 |
| |
| 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 |
| |
| 基金项目： | 中国科学院资助项目，中国物理研究院科研项目 |
| |
| 摘 要： | 利用双曲守恒律的Hamilton-Jacobi方程形式,应用Taylor公式与Galerkin有限元给出了求解双曲守恒律的计算方法。采用TVD差分格式的构造思想,对数值通量作修正,在等距网格情形下有限元方法得到的计算格式满足TVD性质,并给出了数值例子。
|
| 关 键 词： | 双曲型守恒律 Hamilton-Jacobi方程 Taylor-Galerkin有限元方法 |
| 收稿时间： | 1999-03-03 |
| 修稿时间： | 1999-07-28 |
A TAYLOR-GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS |
| |
| YU Xi-jun,FU Hong-yuan.A TAYLOR-GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS[J].Chinese Journal of Computational Physics,2000,17(6):611-618. |
| |
| Authors: | YU Xi-jun FU Hong-yuan |
| |
| Institution: | Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088 P R China |
| |
| Abstract: | A scheme is hroposed for solving hyperboilc conservation laws by the Taylor-Galerkin finite element method. The scheme is obtained by discretizing hyperbolic conservation laws related to the Hamilton-Jacobi's equations. The scheme satisfies the TVD properties under the isometry meshes by modifying the numerical flux, whose idea is from the difference scheme construction. Numerical examples are given. |
| |
| Keywords: | hyperbolic conservation laws Hamilton-Jacobi equations Taylor-Galerkin finite element method |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算物理》浏览原始摘要信息 |
| 点击此处可从《计算物理》下载免费的PDF全文 |
