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二维Burgers方程的RKDG有限元解法
  • ISSN号：1005-3085
  • 期刊名称：工程数学学报
  • 时间：2013.6.15
  • 页码：442-450
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]新疆大学数学与系统科学学院,乌鲁木齐830046, [2]咸阳师范学院数学系,咸阳712000
  • 相关基金：国家自然科学基金（61163027;10901131）;新疆科技厅特培基金（201123117）;新疆大学自然科学基金（XY080102）.
  • 相关项目：三维湍流风沙运动的数值模拟研究
作者： 马艳春|张寅虎|冯新龙|
关键词： Burgers方程, RKDG有限元方法, 矩形元, 数值通量, Burgers equation, RKDG finite element method, rectangular element, numericalflux
中文摘要：

本文应用RKDG有限元方法求解具有周期边界条件的二维非粘性Burgers方程，并给出稳定性分析和误差估计．基于一致网格剖分，采用Q^1矩形元和广义斜率限制器进行数值模拟．在相同网格剖分下与三角元相比，矩形元剖分的自由度较少，计算复杂度低，易于实现．

英文摘要：

In this paper, the Runge-Kutta discontinuous Galerkin finite element method is pre- sented for solving two-dimensional inviscid Burgers equation with periodic boundary condition. Stability analysis and error estimates are derived, respectively. Based on the uniform mesh, the generalized slope limiter and the Q^1 rectangular element are used in numerical experiments. Compared with the triangular element, the rectangular element needs less degree of freedom. And it is easy to implement and extend to high dimensional problems.

同期刊论文项目
不可压粘性流动问题的分数步长方法研究
期刊论文 34
三维湍流风沙运动的数值模拟研究
期刊论文 82
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期刊信息
  • 《工程数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:西安交通大学
  • 主编：李大潜
  • 地址：西宁市咸宁西路28号西安交通大学数学与统计学院
  • 邮编：710049
  • 邮箱：jgsx@mail.xjtu.edu.cn
  • 电话：029-82667877
  • 国际标准刊号：ISSN：1005-3085
  • 国内统一刊号：ISSN：61-1269/O1
  • 邮发代号:
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  • 被引量:6741