拟压缩性方法求解三维定常不可压缩Navier－Stokes方程

On the Method of Pseudo Compressibility for Numerically Solving the Three-Dimensional Steady Incompressible Navier-Stokes Equations

应用在连续性方程中增加压力对时间导数项的拟压缩性方法，数值求解三维定常不可压缩Ｎａｖｉｅｒ—Ｓｔｏｋｅｓ方程。提供了一种新的当地时间步长，大大加快了Ｂｅａｍ－Ｗａｒｍｉｎｇ近似因式分解格式的收敛速度。选用修正的Ｂａｌｄｗｉｎ—Ｌｏｍａｘ代数湍流模型，计算绕尖头旋成柱体的大迎角脱体涡流动，得到与实验相符的结果。

The method of pseudocompressibility in which a time derivative pressure term is introduced into the mass conservation equation has been used for numerically solving the threedimensional steady incompressible Navier-Stokes equations. A new local time step is proposed in this paper to accelerate the rate of convergence of Beam-Warming implict approximat factorisation scheme. The modified Baldwin-Lomax algebraic turbulent model is usedto numerically simulate high-incidence vortital nows about a tangent-ogive cylinder, thenumerical results are in good agreement with experiment.