动量插值与完全压力校正算法及交错网格SIMPLE算法的比较

Comparison between SIMPLE Algorithm and Momentum Interpolation and Complete Pressure Correction Based on Non-staggered Grid System

对流体力学数值方法进行了扼要叙述,并比较各自优缺点。概述了有限体积法处理对流项的常用方案,重点描述了近年来为解决速度与压力耦合问题而提出的基于非交错网格(或同位网格)的完全压力校正算法(CPC),并与同样基于非交错网格动量插值算法(MI)以及传统的基于交错网格的SIMPLE(Semi-implicitMethodforPressure-linkedEquations)算法进行了比较。最后用二维顶盖驱动方腔流动为例,将CPC算法与传统的SIMPLE算法进行比较。结果表明,CPC算法结果准确,且程序上实现起来容易得多。

This paper first briefly reviewed the methods of the numerical simulation in computational fluid dynamics. Secondly, the usual methods dealing with the convection terms were introduced and the complete pressure correction algorithm (CPC) was mainly presented to solve the coupling between pressure and velocity. The advantages and disadvantages of CPC, momentum interpolation(MI) and SIMPLE method based on staggered grid system were depicted. At last the Liddriven square cavity flow was exemplified. The three computational results are consistent, whereas the former two methods were carried out much more easily than the latter, particularly the complete pressure correction.