• 论文 •

二维对流扩散方程基于三角形网格的特征差分格式

1. 天津师范大学数学科学学院 天津 300074
• 出版日期:2003-03-20 发布日期:2003-03-20

CHARACTERISTIC DIFFERENCE SCHEMES ON TRIANGULAR MESH FOR 2D CONVECTION DIFFUSION EQUATIONS

1. Wang Tongke (Faculty of Mathematical Science, Tianjin Normal University, Tianjin, 300074)
• Online:2003-03-20 Published:2003-03-20

This paper presents two characteristic difference schemes on triangular mesh for two-dimensional linear and nonlinear convection-diffusion equations. It is proved that the two methods satisfy discrete maximum principle and they are stable in discrete maximum norm. It is also proved that they converge in discrete maximum norm and the first one has first order accuracy for convection term and the other has second order accuracy for convection term, which is especially suitable for solving strong convection-dominated diffusion problems. Finally, numerical examples show that these methods are very effective for solving convection-dominated diffusion problems.
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