압축성 이상(二相) 충격파관 문제에 대한 엄밀 리만해법

다국어 초록 (Multilingual 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.

참고문헌 (Reference)

1 염금수, "공기-물 이상매질 충격파관 문제에 대한 정확한 Riemann 해법" 제주 KAL 호텔 365-367, 2010

2 Toro, E.F, "Riemann Solver sand Numerical Methods for Fluid Dynamics: A Practical Introduction" Springer-Verlag 1999

3 Paillère, H, "On the Extension of the AUSM+ Scheme to Compressible Two-Fluid Models" 32 : 891-916, 2003

4 Ivings, M.J, "On Riemann Solvers for Compressible Liquids" 28 : 395-418, 1998

5 Saurel, R, "Modelling Phase Transition in Metastable Liquids: Application to Cavitating and Flashing Flows" 607 : 313-350, 2008

6 Evje, S, "Hybrid Flux-Splitting Schemes for a Common Two-Fluid Model" 192 : 175-210, 2003

7 Colella, P, "Efficient Solution Algorithm for the Riemann Problem for Real Gases" 59 : 264-289, 1985

8 Andrianov, N, "A Simple Method for Compressible Multiphase Mixtures and Interface" 41 : 109-131, 2003

9 Toro, E.F, "A Fast Riemann Solver with Constant Covolume Applied to the Random Choice Method" 9 : 1145-1164, 1989