应用两步隐式算法求解Navier-Stokes方程

A TWO-STEP IMPLICIT SCHEME FOR THE NUMERICAL SOLUTION OF NAVIER-STOKES EQUATIONS

本文提出一种隐式分步算法求解流体的运动方程。研究证明,SIMPLEC算法是这种算法的特例。通过两组层流算例的计算表明,改变加权隐式系数α可以明显加快计算的收敛速度。

The purpose of this paper is to introduce a new implicit fractional step altorighm of two processes for the calculation of the transport equations of fluid flows i.e.. the convection-diffusion process and propagation process.It is found that the second step of the propagation process in the present method resembles the velocity-pressure correction procedure in the SIMPLE-like methods, and the SIMPLEC algorithm is a special case of the proposed method. Two numerical examples of laminar flows show that the rate of convergence can be significantly improved by the change of the optimal coefficient α.