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A COMPUTATIONAL METHOD FOR THE NAVIER-STOKES EQUATIONS AT ALL SPEEDS

A PLU-SGS method based on a time-derivative preconditioning algorithm and LUSGS 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...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2002-04, Vol.23 (4), p.479-486
Main Author: ZHAO Xing-yan(赵兴艳) SU Mo-ming(苏莫明) MIAO Yong-miao(苗永淼)
Format: Article
Language:English
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Summary:A PLU-SGS method based on a time-derivative preconditioning algorithm and LUSGS 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.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02436217