动量插值的一种简单有效的修正  

A simple and effective correction for momentum interpolation

作　　者：刘豫龙[1,2] 徐明海 刘德绪[3] 龚金海[3] 莫琼[3] 

机构地区：[1]中国石油大学储运与建筑工程学院,山东青岛266580 [2]中国石化胜利油田分公司胜利发电厂,山东东营257087 [3]中国石化中原石油勘探局勘探设计研究院,河南濮阳457001

出　　处：《中国石油大学学报（自然科学版）》2014年第2期142-146,共5页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：国家自然科学基金项目(51276199);国家科技重大专项(2011ZX05017-004-HZ01)

摘　　要：针对动量插值数学上的不足,提出一种简单的修正格式,采用与原始的SIMPLE算法非常相似的推导过程,得到不可压流体流动的一种简单的同位网格SIMPLE算法。利用有限数值算例证明新提出的同位网格算法的有效性。结果表明,所有界面速度均采用算术平均值,具有编程简单、内存占用少的优点,同时有效地克服了计算结果与松弛因子有关的的缺点,并克服了同位网格上用动量插值计算界面速度的数学上的缺陷。A SIMPLE algorithm for collocated grid was proposed,which was used to solve incompressible flow problems. This algorithm is a simple modification for momentum interpolation. The derivation process of this algorithm is similar to that of the original SIMPLE algorithm. The effectiveness of this algorithm was verified with some benchmarked problems. In this correction,all velocities on the faces are calculated with algebraic method,and so the code possesses the advantages of simple programming and less memory footprint. This correction overcomes some mathematics shortcomings of the momentum interpolation,and can solve those problems that the computation results are dependent on the relaxation factor of velocity.

关 键 词：动量插值 SIMPLE算法 不可压缩流动 有限容积 

分 类 号：TK12[动力工程及工程热物理—工程热物理]