THREE HIGH-ORDER SPLITTING SCHEMES FOR 3D TRANSPORT EQUATION

被引：0

作者：

汪守东

沈永明

机构：

[1] P.R.China

[2] Dalian University of Technology

[3] Dalian University of Technology Dalian 116023

[4] State Key Laboratory of Coastal and Offshore Engineering

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2005年 / 08期

基金：

中国国家自然科学基金;

关键词：

3D advection and diffusion equation; operator splitting method; high-order scheme; numerical modeling;

D O I：

暂无

中图分类号：

X50 [一般性问题];

学科分类号：

071012 ; 0713 ; 083002 ;

摘要：

Two high-order splitting schemes based on the idea of the operators splitting method are given. The three-dimensional advection-diffusion equation was split into several one-dimensional equations that were solved by these two schemes, only three computational grid points were needed in each direction but the accuracy reaches the spatial fourth-order. The third scheme proposed is based on the classical ADI scheme and the accuracy of the advection term of it can reach the spatial fourth-order. Finally, two typical numerical experiments show that the solutions of these three schemes compare well with that given by the analytical solution when the Peclet number is not bigger than 5.

引用

页码：1007 / 1016

页数：10