求解不可压Navier－Stokes方程的SCGS迭代法的光滑因子

EVALUATION OF SMOOTHING FACTOR OF THE SCGSITERATION FOR INCOMPRESSIBLE NAVIER-STOKESEQUATIONS

求解不可压Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的ＳＣＧＳ迭代法的光滑因子张林波（中国科学院计算数学与科学工程计算研究所科学与工程计算国家重点实验室）ＥＶＡＬＵＡＴＩＯＮＯＦＳＭＯＯＴＨＩＮＧＦＡＣＴＯＲＯＦＴＨＥＳＣＧＳＩＴＥＲＡＴＩＯＮＦＯＲＩＮＣＯＭＰ...

Abstract It is well known that the convergence rate of a multigrid solver depends on thesmoothing property of the basic iteration method used. The local mode analysis,proposed by A. Brandt[1,2] , provides a simple and effective way for evaluating thesmoothing property of an iteration method. In this paper, the smoothing factor ofthe SCGS iteration which was used in the multigrid solver for the incompressibleNavier-Stokes equations presented in [6] is computed using local mode analysis andcompared with the convergence rate obtained from numerical experiences.