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一种加速SIMPLE算法迭代收敛的方案及其在河道平面二维水流计算中的应用
引用本文:许慧,高健,李国斌,张新周.一种加速SIMPLE算法迭代收敛的方案及其在河道平面二维水流计算中的应用[J].水运工程,2008(12).
作者姓名:许慧  高健  李国斌  张新周
作者单位:1. 南京水利科学研究院,江苏,南京,210029
2. 长江委长江口水文水资源勘测局,上海,200136
3. 河海大学,江苏,南京,210098
摘    要:一种加速SIMPLE算法迭代收敛的方案是把SIMPLER与SIMPLEC两种算法结合起来,压力值通过求解压力Poisson方程获得,速度修正值计算式也考虑到了邻点速度修正值的影响。对该方案给出了详细的求解步骤,并通过对长江中游安庆河段平面二维水流流场的计算,将该方案与SIMPLE,SIMPLEC,SIMPLER算法进行了对比。结果表明:该方案有着更好的收敛特性,并且能节省数值计算的时间。

关 键 词:SIMPLE算法  平面二维水流计算  加速迭代

An improvement of the SIMPLE Algorithm and its application in 2-D mathematics model of water flow
XU Hui,GAO Jiang,LI Guo-bin,ZHANG Xin-zhou.An improvement of the SIMPLE Algorithm and its application in 2-D mathematics model of water flow[J].Port & Waterway Engineering,2008(12).
Authors:XU Hui  GAO Jiang  LI Guo-bin  ZHANG Xin-zhou
Abstract:An improvement of the SIMPLE algorithm is proposed by combing SIMPLER and SIMPLEC together.In this improved algorithm,the pressure field was determined by the way adopted in the SIMPLER algorithm,while consistency of velocity correction equation by using the method adopted in the SIMPLEC algorithm.Detailed process of the improved algorithm is proposed in this paper.Numerical experiment on the Anqing beach of the Yangtze River shows that this improved scheme can enhance the convergence rate for SIMPLE algorithm.
Keywords:SIMPLER algorithm  2-D current mathematical model  accelerate convergence  
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