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Unified computation of flow with compressible and incompressible fluid based on roe’s scheme

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Abstract

A unified numerical scheme for the solutions of the compressible and incompressible Navier-Stokes equations is investigated based on a time-derivative preconditioning algorithm. The primitive variables are pressure, velocities and temperature. The time integration scheme is used in conjunction with a finite volume discretization. The preconditioning is coupled with a high order implicit upwind scheme based on the definition of a Roe’s type matrix. Computational capabilities are demonstrated through computations of high Mach number, middle Mach number, very low Mach number, and incompressible flow. It has also been demonstrated that the discontinuous surface in flow field can be captured for the implementation Roe’s scheme.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, P. R. China

    Huang Dian-gui Doctor  (黄典贵) (Professor)

Authors
  1. Huang Dian-gui Doctor  (黄典贵)
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Correspondence to Huang Dian-gui Doctor  (黄典贵).

Additional information

Communicated by DAI Shi-qiang

Project supported by the National Natural Science Foundation of China(No.50576049), the Foundational Scientific Research of National Defence of China(No.A4020060263) and Shanghai Leading Academic Discipline Project(No.Y0103)

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Huang, Dg. Unified computation of flow with compressible and incompressible fluid based on roe’s scheme. Appl Math Mech 27, 757–763 (2006). https://doi.org/10.1007/s10483-006-0606-1

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  • DOI: https://doi.org/10.1007/s10483-006-0606-1

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