求解对流扩散方程的紧致修正方法  

A Compact Correction Method for Solving Convection Diffusion Equation

作　　者：张昆[1] 杨茉[1] 

机构地区：[1]上海理工大学动力工程学院,上海200093

出　　处：《工程热物理学报》2011年第3期459-461,共3页Journal of Engineering Thermophysics

基　　金：国家自然科学基金资助项目(No.50876067);上海教委科研创新重点项目(No.10ZZ91)

摘　　要：提出了求解对流扩散方程的紧致修正方法,该方法是在低阶离散格式的源项中,引入紧致修正项,从而构造高阶紧致修正格式,并进行求解。采用紧致修正方法对典型的对流扩散方程进行计算。结果表明,紧致修正方法虽然与二阶经典差分方法建立在相同的结点数上,但紧致修正方法的精度与紧致方法的精度相同,均具有四阶精度。所以紧致修正方法可以在少网格点下得出高精度解。A compact correction method is deduced for solving convection diffusion equation.By adding compact correction term into the source term of lower order discrete equation,higher order compact correction equation is established and solved.Two typical convection diffusion equations are solved by compact correction method.The results indicated that compact correction method is based on the same points as two order classical method,however,it has four order accuracy which is as same as compact method＇s,so compact correction method based on less points can obtain higher order accuracy.

关 键 词：紧致有限差分格式 紧致修正方法 对流扩散方程 

分 类 号：TK124[动力工程及工程热物理—工程热物理]