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解非定常不可压缩N-S方程的迭代压力Poisson方程法 被引量:2

ITERATIVE PRESSURE POISSON EQUATION METHOD FOR SOLVING THE UNSTEADY INCOMPRESSIBLE N-S EQUATIONS
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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.
作者 于欣
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).
关键词 压力Poisson方程法 不可压缩 紧致格式 流体流动问题 数值求解 NAVIER-STOKES方程 多步迭代 样条函数插值 N-S equations, Pressure Poisson Equation Method, in compressible, compact scheme
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二级参考文献11

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同被引文献14

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