同位网格界面速度插值方法研究  

Technique to Calculate Cell Face Velocity of a Non-Staggered Grid System

作　　者：李旺 宇波 王欣然 孙树瑜 

机构地区：[1]中国石油大学机械与储运工程学院城市油气输配技术北京市重点实验室,北京102249 [2]阿卜杜拉国王科技大学自然科学与工程学院计算传递现象实验室

出　　处：《应用数学和力学》2012年第8期933-942,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(51176204;51134006);国家重点基础研究和发展资助项目(2011CB610306)

摘　　要：讨论了同位网格下,离散的连续性方程、动量方程及标量方程中控制容积界面上速度的计算方法.分别采用动量插值技术和线性插值技术计算了动量方程和标量方程的离散系数中的界面速度,并将两种方法得到的计算结果进行了比较.指出当采用线性插值技术去计算离散方程系数中的界面速度时,离散系数中的质量残余必须等于0,这样才能保证数值解的准确性和计算的收敛速度.The calculation of cell face velocity in the discretization of continuity equation, momentum equation and scalar equation of a non-staggered grid system were discussed. Both momentum interpolation and linear interpolation were adopted to evaluate the coefficients in the discretized momentum and scalar equation, and their performances were compared. When linear interpolation was used to calculate coefficients, the mass residual term in the coefficients must be dropped to maintain the solution accuracy and its convergence rate.

关 键 词：同位网格 交错网格 动量插值 

分 类 号：O302[理学—力学] O357.1