A Computational Method for the Navier-Stokes Equations at All Speeds

ZHAO Xing-yan; SU Mo-ming; MIAO Yong-miao

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(4): 429-435

ZHAO Xing-yan, SU Mo-ming, MIAO Yong-miao. A Computational Method for the Navier-Stokes Equations at All Speeds[J]. Applied Mathematics and Mechanics, 2002, 23(4): 429-435.

Citation:

ZHAO Xing-yan, SU Mo-ming, MIAO Yong-miao. A Computational Method for the Navier-Stokes Equations at All Speeds[J]. Applied Mathematics and Mechanics, 2002, 23(4): 429-435.

Citation:

ZHAO Xing-yan, SU Mo-ming, MIAO Yong-miao. A Computational Method for the Navier-Stokes Equations at All Speeds[J]. Applied Mathematics and Mechanics, 2002, 23(4): 429-435.

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A Computational Method for the Navier-Stokes Equations at All Speeds

1.
Department of Fluid Machinery, Xi'an Jiaotong University, Xi'an 710049, P. R. China;
2.
Department of Aerospace Power, Northwestern Polytechnical University, Xi'an 710072, P. R. China

Received Date: 1999-10-13
Rev Recd Date: 2001-10-12
Publish Date: 2002-04-15

Abstract

Abstract

A PLU-SGS method based on a time-derivative preconditioning algorithm and LU-SGS method is developed in order to calculate the Navier-Stokes equations at all speeds. The equations were discretized using AUSMPW scheme in conjunction with the third-order MUSCL scheme with Van Leer limiter. The present method was applied to solve the multidimensional compressible Navier-Stokes equations in curvilinear coordinates. Characteristic boundary conditions based on the eigensystem of the preconditioned equations were employed. In order to examine the performance of present method, driven-cavity flow at various Reynolds numbers and viscous flow through a convergent-divergent nozzle at supersonic were selected to test this method. The computed results were compared with the experimental data or the other numerical results available in literature and good agreements between them are obtained. The results show that the present method is accurate, self-adaptive and stable for a wide range of flow conditions from low speed to supersonic flows.
- nonlinear hyperbolic system,
- computational fluid dynamic,
- preconditioning algorithm,
- implicit time marching method,
- characteristic boundary condition,
- high-order-accuracy

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References(10)

References

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