Fourier analysis of the convergence behaviors of SIMPLE algorithm on collocated grid
Received:November 14, 2011  Revised:May 28, 2012
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KeyWord:Fourier analysis  relaxation factor  friction items  error
汪飞 武汉大学 水资源与水电工程国家重点实验室, 武汉
李义天 武汉大学 水资源与水电工程国家重点实验室, 武汉
葛华 长江科学院 河流研究所,武汉
唐金武 武汉大学 水资源与水电工程国家重点实验室, 武汉
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      The Fourier analysis is employed to investigate the convergence behaviors of SIMPLE solver to shallow-water equations and check the effect of both relaxation factors and friction items on SIMPLE algorithm.The results indicate that appropriate combination of relaxation factors can damp out the high frequency effectively and keep the low frequency error reduced to convergence.In the case of convergence,the low frequency error dominates the rate of iteration and the growing influence of friction items makes for convergence.