Adaptive Mesh Refinement Computation of Compressible Flow

  • N. Uchiyama
  • O. Inoue
Conference paper


Numerical simulation was performed using an adaptive mesh refinement algorithm combined with a high resolution upwind scheme to study shock wave diffraction phenomena. The particular flow in interest is the shock wave diffraction over a 90 degree sharp corner in which the generation of a vortex at the corner and its associated shock waves are expected. The numerical results of the Euler computation show detailed structures of the flowfleld such as growth of Kelvin-Helmholtz instability along the spiraling sheet of the corner vortex and the interaction of the rolled-up vortices with the shock waves, so called “vortex shocks” inherent in the corner vortex.

Key words

Adaptive mesh refinement Shock wave diffraction Shock-vortex interaction 


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  1. Berger MJ, Colella P (1989) Local adaptive mesh refinement for shock hydrodynamics. J. Comp. Phys. 82:64–84CrossRefMATHADSGoogle Scholar
  2. Hillier R (1991) Computation of shock wave diffraction at a ninety degree convex edge. Shock Waves 1:89–98CrossRefMATHADSGoogle Scholar
  3. Meadows K, Kumar A, Hussaini MY (1989) A computational study on the interaction between a vortex and a shock wave. AIAA J. 29:174–179CrossRefADSGoogle Scholar
  4. Sivier S, Baum J, Loth E, Lohner R (1991) Simulations of shock wave generated vorticity. AIAA Paper91–1668, AIAA 22nd Fluid Dynamics and Plasma Dynamics and Lasers ConferenceGoogle Scholar
  5. Steger JL, Warming RF (1981) Flux vector splitting of the in viscid gasdynamic equations with application to finite-difference methods. J. Comp. Phys. 40:263–293CrossRefMATHADSMathSciNetGoogle Scholar
  6. Takayama K, Inoue O (1991) Shock wave diffraction over a 90 degree sharp corner — Posters presented at 18th ISSW. Shock Waves 1:301–312CrossRefADSGoogle Scholar
  7. Uchiyama N, Inoue O (1992) On the performance of adaptive mesh refinement computation. Shock Waves 2:117–120CrossRefMATHADSGoogle Scholar
  8. Van Leer B (1977) Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection. J. Comp. Phys. 23:276–299CrossRefMATHADSGoogle Scholar
  9. Wang JCT, Widhopf GF (1990) Numerical simulation of blast flowfields using a high resolution TVD finite volume scheme. Computers k Fluids 12:103–137Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • N. Uchiyama
    • 1
  • O. Inoue
    • 1
  1. 1.Institute of Fluid ScienceTohoku UniversitySendai 980Japan

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