An Efficient Splitting Numerical Method for the Convection-Diffusion Problems

摘要：

In this paper an efficient splitting numerical method is developed to solve convection-diffusion problems. In order to overcome the complexities and huge computational cost in realistic simulation, the proposed method reduces the high-dimensional problems to a series of uncoupled one-dimensional problems in each tune level, in which the Eulerian-Lagrangian localized adjoint method (ELLAM) is used to solve the one-dimensional convection-diffusion equations which takes the advantages of the ELLAM method and the fractional step technique. Numerical experiments are given to illustrate the effective performance of the method. The algorithm can be extended to higher dimensional convection diffusion problems and the procedure can be solved by the parallel computing system.

关键词： Convection Diffusion Problems,Splitting ELLAM

作者: Dong Liang Chuanbin Du Hong Wang

作者单位: Department of Mathematics and Statistics York University Toronto, ON M3J 1P3 Canada Department of Mathematics University of South Carolina Columbia, SC 29208 USA

会议类型: 国际会议

会议名称: The Fourth International Workshop on Scientific Computing and Applications(第四届国际科学计算与应用研讨会)

会议地点: 上海

会议语种:英文

页码: 138-145

在线出版日期: 2005-06-20（万方平台首次上网日期，不代表论文的发表时间）