摘要
We present iterative pressure Poisson equation method for solving the viscous incompressible Navier-Stokes equations. Comparing with the pressure Poisson equation method, it uses the increment of the pressure, the difference of two successive pressures (pkn+1 and pk+1n+1), instead of the pressure p（n+1） as an unknown variable. We apply it to a fourth order accurate staggered mesh compact difference scheme, simulate the driven flow in a square cavity with Re = 5000 and 10000.
We present iterative pressure Poisson equation method for solving the viscous incompressible Navier-Stokes equations. Comparing with the pressure Poisson equation method, it uses the increment of the pressure, the difference of two successive pressures (p_k^(n+1) and p_(k+1)^(n+1)), instead of the pressure p(n+1) as an unknown variable. We apply it to a fourth order accurate staggered mesh compact difference scheme, simulate the driven flow in a square cavity with Re = 5000 and 10000.
出处
《计算数学》
CSCD
北大核心
2001年第4期447-456,共10页
Mathematica Numerica Sinica
基金
中国科学院回国人员择优基金(1999)
国家计算流体力学实验室(#2000-16).
