메뉴 건너뛰기




Volumn 65, Issue 2, 2007, Pages 259-279

Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures

Author keywords

[No Author keywords available]

Indexed keywords

HEAT FLUX; HEAT TRANSFER; PHASE TRANSITIONS; TEMPERATURE; THERMAL CONDUCTIVITY; THERMODYNAMICS;

EID: 40749158963     PISSN: 0033569X     EISSN: 15524485     Source Type: Journal    
DOI: 10.1090/S0033-569X-07-01051-2     Document Type: Article
Times cited : (111)

References (26)
  • 1
    • 1842683264 scopus 로고    scopus 로고
    • N. Andrianov, G. Warnecke, The Riemann problem for the Baer-Nunziato two-phase flow model. J. Comput. Physics 195 (2004), 434-464. MR2046106 (2004m:76165)
    • N. Andrianov, G. Warnecke, The Riemann problem for the Baer-Nunziato two-phase flow model. J. Comput. Physics 195 (2004), 434-464. MR2046106 (2004m:76165)
  • 2
    • 0022808623 scopus 로고
    • A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials
    • M. Baer, J. Nunziato, A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials. Int. J. Multiphase Flow 12 (1986), 861-889.
    • (1986) Int. J. Multiphase Flow , vol.12 , pp. 861-889
    • Baer, M.1    Nunziato, J.2
  • 4
    • 84990689276 scopus 로고
    • Hyperbolic conservation laws with stiff relaxation terms and entropy
    • MR1280989 95h:35133
    • G.Q. Chen, C.D. Levermore, T.-P. Liu, Hyperbolic conservation laws with stiff relaxation terms and entropy. Coram. Pure Appl. Math. 47 (1994), 787-830. MR1280989 (95h:35133)
    • (1994) Coram. Pure Appl. Math , vol.47 , pp. 787-830
    • Chen, G.Q.1    Levermore, C.D.2    Liu, T.-P.3
  • 6
    • 0023162699 scopus 로고
    • The virtual mass and lift force on a sphere in rotating and straining inviscid flow
    • D.A. Drew, R.T. Lahey, Jr., The virtual mass and lift force on a sphere in rotating and straining inviscid flow. Int. J. Multiphase Flow 13(1987), 113-121.
    • (1987) Int. J. Multiphase Flow , vol.13 , pp. 113-121
    • Drew, D.A.1    Lahey Jr., R.T.2
  • 7
    • 0001380483 scopus 로고
    • Systems of conservation equations with a convex extension
    • MR0285799 44:3016
    • K.O. Friedrichs, P.D. Lax, Systems of conservation equations with a convex extension. Proc. Nat. Acad. Sci. USA 68 (1971), 1686-1688. MR0285799 (44:3016)
    • (1971) Proc. Nat. Acad. Sci. USA , vol.68 , pp. 1686-1688
    • Friedrichs, K.O.1    Lax, P.D.2
  • 8
    • 0036153904 scopus 로고    scopus 로고
    • S. Gavrilyuk, R. Saurel, Mathematical and numerical modeling of two-phase compressible flows with micro-inertia. J. Comput. Phys. 175 (2002), 326-360. MR1877822 (2002i:76110)
    • S. Gavrilyuk, R. Saurel, Mathematical and numerical modeling of two-phase compressible flows with micro-inertia. J. Comput. Phys. 175 (2002), 326-360. MR1877822 (2002i:76110)
  • 9
    • 0001187980 scopus 로고
    • An interesting class of quasilinear systems
    • S.K. Godunov, An interesting class of quasilinear systems. Soviet Math. Dokl. 2 (1961), 947-949.
    • (1961) Soviet Math. Dokl , vol.2 , pp. 947-949
    • Godunov, S.K.1
  • 10
    • 21444432253 scopus 로고    scopus 로고
    • Systems of thermodynamically consistent conservation laws that are invariant under rotations
    • MR1643366 99g:35078
    • S.K. Godunov, T.Yu. Mikhailova, E.I. Romenski, Systems of thermodynamically consistent conservation laws that are invariant under rotations. Siberian Math. J. 37 (1996), 690-705. MR1643366 (99g:35078)
    • (1996) Siberian Math. J , vol.37 , pp. 690-705
    • Godunov, S.K.1    Mikhailova, T.Y.2    Romenski, E.I.3
  • 11
    • 0002646432 scopus 로고
    • Thermodynamics, conservation laws and symmetric forms of differential equations in mechanics of continuous media
    • John Wiley & Sons, New York
    • S.K. Godunov, E. Romensky, Thermodynamics, conservation laws and symmetric forms of differential equations in mechanics of continuous media, in Computational Fluid Dynamics Review 1995. John Wiley & Sons, New York, (1995), 19-31.
    • (1995) Computational Fluid Dynamics Review , vol.1995 , pp. 19-31
    • Godunov, S.K.1    Romensky, E.2
  • 13
    • 0032658109 scopus 로고    scopus 로고
    • H. Gouin, S. Gavrilyuk, Hamilton's principle and Rankine-Hugoniot conditions for general motions of mixtures. Meccanica 34 (1999), 39-47. MR1683706 (2000a:76008)
    • H. Gouin, S. Gavrilyuk, Hamilton's principle and Rankine-Hugoniot conditions for general motions of mixtures. Meccanica 34 (1999), 39-47. MR1683706 (2000a:76008)
  • 15
    • 21544449601 scopus 로고
    • Hyperbolic conservation laws with relaxation
    • MR0872145 88f:35092
    • T.P. Liu, Hyperbolic conservation laws with relaxation. Comm. Math. Phys. 108 (1987), 153-175. MR0872145 (88f:35092)
    • (1987) Comm. Math. Phys , vol.108 , pp. 153-175
    • Liu, T.P.1
  • 16
    • 15944412133 scopus 로고    scopus 로고
    • C.A. Lowe, Two-phase shock-tube problems and numerical methods of solution. J. Comput. Phys. 204 (2005), 598-632. MR2131855 (2006a:76067)
    • C.A. Lowe, Two-phase shock-tube problems and numerical methods of solution. J. Comput. Phys. 204 (2005), 598-632. MR2131855 (2006a:76067)
  • 21
    • 0032412736 scopus 로고    scopus 로고
    • Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics
    • MR1662561 99k:73027
    • E. Romensky, Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics. Math. Comput. Modelling 28 (1998), 115-130. MR1662561 (99k:73027)
    • (1998) Math. Comput. Modelling , vol.28 , pp. 115-130
    • Romensky, E.1
  • 22
    • 85036942046 scopus 로고    scopus 로고
    • E. Romensky, Thermodynamics and hyperbolic systems of balance laws in continuum mechanics, in Godunov Methods: theory and applications, Kluwer Academic/Plenum publishers, (2001), 745-761. MR1963637 (2004a:74001)
    • E. Romensky, Thermodynamics and hyperbolic systems of balance laws in continuum mechanics, in Godunov Methods: theory and applications, Kluwer Academic/Plenum publishers, (2001), 745-761. MR1963637 (2004a:74001)
  • 23
    • 34548770951 scopus 로고    scopus 로고
    • Compressible two-phase flow models: Two-pressure models and numerical methods
    • E. Romenski, E.F. Toro, Compressible two-phase flow models: two-pressure models and numerical methods. Computational Fluid Dynamics Journal 13 (2004), 403-416.
    • (2004) Computational Fluid Dynamics Journal , vol.13 , pp. 403-416
    • Romenski, E.1    Toro, E.F.2
  • 24
    • 0001485352 scopus 로고    scopus 로고
    • A multiphase Godunov method for compressible multifluid and multiphase flows
    • MR1684902 99m:76097
    • R. Saurel, R. Abgrall, A multiphase Godunov method for compressible multifluid and multiphase flows. J. Comput. Phys. 150 (1999), 425-467. MR1684902 (99m:76097)
    • (1999) J. Comput. Phys , vol.150 , pp. 425-467
    • Saurel, R.1    Abgrall, R.2
  • 25
    • 0001445749 scopus 로고
    • Sur le principe variationnel des équations de la mécanique des fluides parfaits
    • MR1246997 94j:76056
    • D. Serre, Sur le principe variationnel des équations de la mécanique des fluides parfaits. Modél. Math. Anal. Numér. 27 (1993), 739-758. MR1246997 (94j:76056)
    • (1993) Modél. Math. Anal. Numér , vol.27 , pp. 739-758
    • Serre, D.1
  • 26


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.