三维非定常/定常不可压缩流动N-S方程基于人工压缩性方法的数值模拟

基于人工压缩性方法提出—中心与迎风混合的算法,以数值模拟N-S方程的定常/非定常解．对半离散方程的左端采用中心差分, 方程右端数值流量采用迎风Roe近似算法,其精度可达三阶．湍流模式利用Baldwin-Lomax代数模式．计算例子包括二维平板、机翼剖面、扁椭球、颅动脉瘤等．计算结果表明，压力和摩擦系数与实验符合，在分离涡旋区计算值与实验有差别,这或许是由于湍流模式不够精确的缘故．

Unsteady/Steady Numerical Simulation of Three-Dimensional Incompressible Navier-Stokes Equations on Artificial Compressibility

A central and upwind difference scheme mixed algorithm are presented for solving steady/ unsteady three dimensional incompressible Navier-Stokes equations on artifical compressibility. The left side equations were implicit approximate factorizated and used centered difference scheme. The numerical flux on the right side of semi-discretized equations was calculated using the Roe approximate Riemann solver with three order accuracy. The algebraic turbulence model of Badwin-Lomax was used.Two dimensional flat,airfoil,prolate spheroid and cerebral aneurysm were calculated as examples compared with experiment data. The results show that the coefficient of pressure and skin friction computed consistent with experimental data, the largest discrepancy occur in the separation region where Badwin-Lomax algebraic turbulence model could not exactly predict the flow.