Applied Mathematics and Mechanics

, Volume 15, Issue 8, pp 697–702 | Cite as

Numerical modeling of the initial stage of the generation of unsteady vortices from sharp corner in plane compressible flow

  • Huang Dun
  • Yang Chun


The impingement of a plane shock wave in air on a rectangular or triangular obstacle is simulated numerically with high resolution TVD (total variation diminishing) scheme in finite volume formulation with Schwarz transformation in mesh generation. The mesh lines are quite adaptive to the physical features of the unsteady flow field and concentrate locally near the corners. At the initial stage the flow field is complex, and the scale of viscous diffusion is very small and the viscosity of fluid in computation may be neglected. The unsteady generation of concerntrated vortices downstream of the sharp corner as the result of the nonnuiformity of both temperature and entropy fields in plane inviscid compressible fluid, induced by bow shock wave, is shown clearly and in accordance with optical measurements, performed by our request.

Key words

shock wave generation of vortices finite volume TVD scheme mesh generation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Harten, A., High resolution schemes for hyperbolic conservative laws,J. Comput. Phys.,49 (1983), 357–393.zbMATHMathSciNetCrossRefGoogle Scholar
  2. [2]
    Huang, W. S. and Y. S. Hu, On the diffraction and reflection of plane shock wave impinging on a rectangular obstacle,Proceeding of the 6th National Symposium on Shock Tube and Shock Wave (1992), 11–15. (in Chinese)Google Scholar
  3. [3]
    Tsien, H. S., Equations of Gas Dynamics, Chapter I ofFundamentals of Gas Dynamics, ed. H. W. Emmons, Princeton Univ. Press (1958).Google Scholar
  4. [4]
    Bruneau, C. H., J. J. Chattot, J. Laminie and R. Teman, Computation of vortex flows past a flat plate at high angle of attack,Lecture Notes in Physics,264 (1986), 134–140, Springer-Verlag Press.CrossRefGoogle Scholar

Copyright information

© SUT 1994

Authors and Affiliations

  • Huang Dun
    • 1
  • Yang Chun
    • 2
  1. 1.Depart. of Math.Peking UniversityBeijing
  2. 2.Depart. of Math.Peking Normal UniversityBeijing

Personalised recommendations