隐式格式求解拟压缩性非定常不可压Navier-Stokes方程  

An Implicit Method for the Pseudo-Compressibility Incompressible Navier-Stokes Equation

作　　者：白鹏[1] 崔尔杰[1] 周伟江[1] 李锋[1] 

机构地区：[1]中国航天空气动力技术研究院,北京100074

出　　处：《计算物理》2005年第5期386-392,共7页Chinese Journal of Computational Physics

摘　　要：采用Rogers发展的双时间步拟压缩方法,数值求解不可压非定常问题.数值通量分别采用三阶精度Roe格式和二阶精度Harten-Yee的TVD格式离散.为了加快收敛,提高求解效率,试验了几种隐式格式(ADI_LU,LGS,LU_SGS).针对经典的低雷诺数(Re=200)圆柱绕流问题,比较了不同隐式方法的计算结果和求解效率,以及两种数值离散格式计算结果的异同.最后采用Roe格式数值求解了两种典型的低速非定常流动问题:绕转动圆柱(ω=1)低雷诺数流动;NACA0015翼型等速拉起数值模拟.A pseudo-compressibility method developed by Rogers is used to solve the incompressible Navier-Stokes equation. Numerical flux is scattered through 3rd order Roe scheme and the 2nd order Harten-Yee TVD scheme separately. In order to accelerate convergence, several implicit methods（ADI-LU, LGS, LU-SGS） are accepted. Efficiency of different methods are shown as a classical flowfield around a cylinder in low Re （Re=200） . Roe scheme is used to simulate two low speed unsteady problems ： Low Re flowfield around a rotational cylinder（ω=1） and flowfield around a pitching NACA0015 airfoil with identical pitching rate.

关 键 词：隐式格式 低雷诺数 拟压缩方法 不可压方程 

分 类 号：O357.1[理学—流体力学] V211.15[理学—力学]