CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2004, Vol. 21 ›› Issue (6): 531-537.

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Numerical Computations of the Refraction of a Shock Wave at Interface by Multi-component PPM Algorithm

WANG Chen-xing1, TANG Wei-jun2, CHENG Jun-bo2   

  1. 1. Graduate School of CAEP, Beijing 100088, China;
    2. Institute of Applied Physics and Computational Mathmatics, Beijing 100088, China
  • Received:2003-09-27 Revised:2004-04-07 Online:2004-11-25 Published:2004-11-25

Abstract: It presents numerical computation results of the refraction of a plane shock wave at the different interfaces. The unsteady, two-dimensional, compressible, Euler equations are solved numerically assuming stiffened gas equation of state. The numerical method used is PPM (Piecewise Parabolic Method) method for multi-component. On basis of solving the Riemann problem using two-shock approximation the interface can be determined by computing the volume-fraction in terms of the high-order PPM method in the whole computational field. This method is also used to compute some case of the inter-action when the shock wave meets the interfaces of the different fluids. It also gives the evolvement of interfaces due to baroclinic effects on the interface, especially in the cases of strong shock striking at the interfaces.

Key words: multi-component PPM method, inclined shock, evolution of the vortex, baroclinic effects, interface

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