EXACT RIEMANN SOLVERS FOR COMPRESSIBLE TWO-PHASE SHOCK TUBE PROBLEMS

압축성 이상(二相) 충격파관 문제에 대한 엄밀 리만해법

  • 염금수 (한국과학기술원 기계항공시스템학부) ;
  • 장근식 (한국과학기술원 기계항공시스템학부)
  • Received : 2010.07.07
  • Accepted : 2010.08.13
  • Published : 2010.09.30

Abstract

In this paper, we present the exact Riemann solver for the compressible liquid-gas two-phase shock tube problems. We hereby consider both isentropic and non-isentropic two-phase flows. The shock tube has a diaphragm in the mid-section which separates the liquid medium on the left and the gas medium on the right. By rupturing the diaphragm, various waves are observed on the phasic field variables such as pressure, density, temperature and void fraction in the form of rarefaction wave, shock wave and material interface (contact discontinuity). Both phases are treated as compressible fluids using the linearized equation of state or the stiffened-gas equation of state. We solve several shock tube problems made of a high/low pressure in the liquid and a low/high pressure in the gas. The wave propagations are well resolved by the exact Riemann solutions.

Keywords

References

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