解对流扩散方程的显式交替方向法  

Explicit alternating direction method for solution of convection diffusion equations

作　　者：刘晓遇[1] 

机构地区：[1]清华大学数学科学系,北京100084

出　　处：《清华大学学报（自然科学版）》1999年第12期31-35,共5页Journal of Tsinghua University(Science and Technology)

基　　金：中国工程物理研究院院外科学技术基金

摘　　要：研究了求解二维时间依赖的对流扩散方程的显式交替方向法。证明了在一个时间步长中迭代算法的收敛性。用此法数值求解了二维线性和非线性对流扩散方程。数值结果表明，算法具有较高精度。由于算法是显式求解，因此具有很好的并行性，适合于在并行机上解决大规模计算问题。An explicit alternating direction (EDA) method for numerical solution of time dependent two dimensional convict diffusion equations was studied. It was proved that the iterative method is convergent in one time step. This method could also be used for Burgers partial differential equations. Numerical results show that the method has high accuracy. This method is ideally suitable for massively parallel computers because of its explicitness.

关 键 词：对流扩散方程 偏微分方程 显示交替方向 数值解 

分 类 号：O241.82[理学—计算数学]