SIMPLE型目的收敛性分析

A CONVERENCE ANALYSIS OF SIMPLE TYPE METHODS

  • 摘要: 本文在某种简化假设下用傅里叶变换分析SIMPLE型目的的收敛性。它从理论角度研究诸松弛因子如时问步长协调因子E、压力松弛因子αp的特性。指出即使在线性条件下,松弛因子的不合适选择将导致计算发散,E有压缩时间步长的作用。最后本文比较了SIMPLE和SIMPLER的收敛速度。

     

    Abstract: The current paper analyses the convergence of SIMPLE type methods by using fourier transform with some assumptions.From theoretical viewpoint,it studies the features of several relaxtion factors,such as time step consistent factor E,pressure relaxtion factor αp and shows that even if in the linear situation,an unsuitable alternative of relaxtion factors will induces divergence of calculation,and E may play the rde of descreasing time step.Finally,it also compares the convergence rate of SIMPLE with SIMPLER.

     

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