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

WEN Gong-bi; CHEN Zuo-bin

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(1): 53-66

WEN Gong-bi, CHEN Zuo-bin. Unsteady/Steady Numerical Simulation of Three-Dimensional Incompressible Navier-Stokes Equations on Artificial Compressibility[J]. Applied Mathematics and Mechanics, 2004, 25(1): 53-66.

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

WEN Gong-bi¹,
CHEN Zuo-bin²

1.
Department Mechanics and Engineering Science, State Key Laboratoryfor Turbulence and Complicated System Research, Peking University, Beijing 100871, P. R. China;

Received Date: 2002-06-18
Rev Recd Date: 2003-07-22
Publish Date: 2004-01-15

Abstract

Abstract

A central and upwind difference scheme mixed algorithm are presented for soh}ing 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.

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References(22)

References

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