논문KCI 등재
MATHEMATICAL ANALYSIS OF A MULTIFLUID INTERPENETRATION MIX MODEL
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초록
The equations of a multifluid interpenetration mix model are analyzed. The model is an intermediate mix model in the sense that it is defined by partial pressures but only a single global pressure and a single global temperature. It none-the-less avoids the stability difficulty. It is shown that the model is hyperbolic so that it is mathematically stable.
Abstract
The equations of a multifluid interpenetration mix model are analyzed. The model is an intermediate mix model in the sense that it is defined by partial pressures but only a single global pressure and a single global temperature. It none-the-less avoids the stability difficulty. It is shown that the model is hyperbolic so that it is mathematically stable.
참고문헌 (20)
- M. Baer, "A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials", Int. J. Multiphase Flows, 12, pp.861~889 (1986)
- Y. Chen, "A two-phase flow model of the Rayleigh- Taylor mixing zone", Phys. Fluids, 8(3), pp.816~825 (1996)
- B. Cheng, "Boundary conditions for a two pressure two phase flow model", Physica D, 133(1), pp.84~105 (1999)
- B. Cheng, "Multi-temperature multiphase flow model", Z. Angew. Math. Phys, 53(2), pp.211~238 (2002)
- D. A. Drew, "Mathematical modeling of two-phase flow", Ann. Rev. Fluid Mech, 15, pp.261~291 (1983)
- J. Glimm, "A two pressure numerical model of two fluid mixing, Multiscale Model", Simul, 1(3), pp.458~484 (2003)
- F. Harlow, "Flow of interpenetrating material phases", J. Comput. Phys, 18, pp.440~464 (1975)
- H. Jin, "Compressible two-pressure two-phase flow models", Phys. Lett. A, 353, pp.469~474 (2006)
- H. Jin, "A study of multi-phase flow models", Indian J. Pure Appl. Math, 40(3), pp.201~219 (2009)
- B. Keyfitz, "Admissibility conditions for shocks in conservation laws that change type", SIAM J. Math. Anal, 22(5), pp.1284~1292 (1991)
- B. Keyfitz, "Change of type in simple models of two-phase flow, In Viscous Profiles and Numerical Approximation of Shock Waves", pp.84~104 (1991), SIAM
- B. Keyfitz, "Mathematical properties of nonhyperbolic models for incompressible two-phase flow", Proceedings of the 4th International Conference on Multiphase Flow (2001)
- V. H. Ransom, "Hyperbolic two-pressure models for two-phase flow", J. Comput. Phys, 53(1), pp.124~151 (1984)
- R. Saurel, "A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation", J. Fluid. Mech, 431, pp.239~271 (2001)
- A. Scannapieco, "A multifluid interpenetration mix model", Phys. Lett, A299, pp.49~64 (2002)
- S. L. Soo, "Particulates and Continuum: Multiphase Fluid Dynamics" (1989), Hemisphere
- H. B. Stewart, "Two-phase flow: Models and methods", J. Comput. Phys, 56(3), pp.363~409 (1984)
- G. Wallis, "One-Dimensional Two-Phase Flow" (1969), McGraw-Hill
- D. L. Youngs, "Numerical simulation of turbulent mixing by Rayleigh-Taylor instability", Physica D, 12, pp.32~44 (1984)
- D. L. Youngs, "Modeling turbulent mixing by Rayleigh-Taylor instability", Physica D, 37, pp.270~287 (1989)
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