计算物理 ›› 2009, Vol. 26 ›› Issue (2): 159-168.
• 研究论文 • 下一篇
徐云, 蔚喜军
收稿日期:
修回日期:
出版日期:
发布日期:
作者简介:
基金资助:
XU Yun, YU Xijun
Received:
Revised:
Online:
Published:
摘要： 研究自适应Runge-Kutta间断Galerkin (RKDG)方法求解双曲守恒律方程组,并提出两种生成相容三角形网格的自适应算法.第一种算法适用于规则网格,实现简单、计算速度快.第二种算法基于非结构网格,设计一类基于间断界面的自适应网格加密策略,方法灵活高效.两种方法都具有令人满意的计算效果,而且降低了RKDG的计算量.
关键词: 自适应方法, 间断有限元方法, 双曲守恒律方程
Abstract: For systems of nonlinear hyperbolic conservation laws,two adaptive discontinuous Galerkin finite element methods(ADGM) generating conforming unstructured triangular meshes are proposed.The first one is for structured mesh. It is simple and fast.The second one is for both structured and unstructured meshes.Based on posteriori error estimation of nonlinear hyperbolic conservation laws,a discontinuous interfacial mesh refinement indicator is shown in generating adaptive meshes. It is shown that the methods are flexible and reliable. Computation cost is decreased.
Key words: adaptive methods, discontinuous Galerkin finite element method, hyperbolic conservation laws
中图分类号:
O242.1
徐云, 蔚喜军. 自适应间断有限元方法求解双曲守恒律方程[J]. 计算物理, 2009, 26(2): 159-168.
XU Yun, YU Xijun. Adaptive Discontinuous Galerkin Methods for Hyperbolic Conservation Laws[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(2): 159-168.
0 / 推荐
导出引用管理器 EndNote|Ris|BibTeX
链接本文: http://www.cjcp.org.cn/CN/
http://www.cjcp.org.cn/CN/Y2009/V26/I2/159
