基于SIMPLE求解对流-扩散方程的一种新方法  

A Corrected Method to Solve the Convective-Diffusion Equation Based on SIMPLE

作　　者：李峥[1] 杨茉[1] 王治云[1] 张玉文[2] 

机构地区：[1]上海理工大学,能源与动力工程学院,上海200093 [2]密苏里大学,机械与航天工程系,美国密苏里65211

出　　处：《工程热物理学报》2012年第9期1563-1566,共4页Journal of Engineering Thermophysics

基　　金：国家自然科学基金(No.51076105);上海教委科研创新重点项目(No.10ZZ91);上海市重点学科建设项目(No.J50501)

摘　　要：针对SIMPLE系列算法,通过分别求解控制容积界面和节点两个位置的对流-扩散方程来提高数值计算精度,提出了一种流动与传热数值模拟的新方法。采用新的数值方法对顶盖驱动流与正方腔自然对流进行了数值模拟。数值模拟结果表明,在相同网格划分时,新的数值方法相对迎风格式、乘方格式、QUICK格式SIMLE算法的计算精度高;而在计算精度基本相同时,新方法有较高的计算效率。A corrected numerical method based on SIMPLE is given to improve the computational accuracy of solving the convective-diffusion equation which can describe the incompressible fluid and heat transfer problems in this article. The drive flow and natural convection in a square cavity are analyzed using several numerical methods including the corrected method. And the drive flow results show that the corrected method has a better accuracy than other methods at the same grid classification though the computational efficiency is a little worse while the natural convection results shows that the corrected method has a better computational efficiency at the same accuracy. In conclusion, the corrected method has a better computational accuracy than SIMPLE using FUS, PLS or QUICK at the same grid classification and a better computational efficiency at the same accuracy.

关 键 词：数值模拟 SIMPLE 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]