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A novel slightly compressible model for low Mach number perfect gas flow calculation

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Abstract

By analyzing the characteristics of low Mach number perfect gas flows, a novel Slightly Compressible Model (SCM) for low Mach number perect gas flows is derived. In view of numerical calculations, this model is proved very efficient, for it is kept within thep-v frame but does not have to satisfy the time consuming divergence-free condition in order to get the incompressible Navier-Stokes equation solution. Writing the equations in the form of conservation laws, we have derived the characteristic systems which are necessary for numerical calculations. A cell-centered finite-volume method with flux difference upwind-biased schemes is used for the equation solutions and a new Exact Newton Relaxation (ENR) implicit method is developed. Various computed results are presented to validate the present model. Laminar flow solutions over a circular cylinder with wake developing and vortex shedding are presented. Results for inviscid flow over a sphere are compared in excellent agreement with the exact analytic incompressible solution. Three-dimensional viscous flow solutions over sphere and prolate spheroid are also calculated and compared well with experiments and other incompressible solutions. Finally, good convergent performances are shown for sphere viscous flows.

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Authors and Affiliations

  1. China Aerodynamics Research and Development Center, P. O. Box 211, 621000, Mianyang, Sichuan, China

    Deng Xiaogang

  2. Chinese Aerodynamic Society, P. O. Box 849, 100830, Beijing, China

    Zhuang Fenggan

Authors
  1. Deng Xiaogang
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  2. Zhuang Fenggan
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Additional information

The project supported by the Basic Research on Frontier Problems in Fluid and Aerodynamics in China and the National Natural Science Foundation of China (19772069)

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Xiaogang, D., Fenggan, Z. A novel slightly compressible model for low Mach number perfect gas flow calculation. Acta Mech Sinica 18, 193–208 (2002). https://doi.org/10.1007/BF02487948

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  • DOI: https://doi.org/10.1007/BF02487948

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