CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2005, Vol. 22 ›› Issue (5): 386-392.

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

BAI Peng, CUI Er-jie, ZHOU Wei-jiang, LI Feng   

  1. China Academy of Aerospace Aerodynamics, Beijing 100074, China
  • Received:2004-05-20 Revised:2004-10-29 Online:2005-09-25 Published:2005-09-25

Abstract: 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.

Key words: implicit scheme, low Re, pseudo-compressibility method, incompressible Navier-Stokes equations

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