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Volumn 186, Issue 2, 2003, Pages 361-396

Discrete equations for physical and numerical compressible multiphase mixtures

Author keywords

Compressible flows; Godunov schemes; Multiphase flows; Non conservative systems

Indexed keywords

INTERFACES (MATERIALS); SYSTEM STABILITY; TWO PHASE FLOW;

EID: 0037431195     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00011-1     Document Type: Article
Times cited : (245)

References (26)
  • 1
    • 84891892683 scopus 로고    scopus 로고
    • A numerical scheme for multidimensional multiphase compressible flows
    • Technical Report MAB 2002-34, Mathématiques Appliquées de Bordeaux
    • R. Abgrall, L. Hallo, M. Papin, A numerical scheme for multidimensional multiphase compressible flows, Technical Report MAB 2002-34, Mathématiques Appliquées de Bordeaux, 2002.
    • (2002)
    • Abgrall, R.1    Hallo, L.2    Papin, M.3
  • 2
    • 0030118726 scopus 로고    scopus 로고
    • How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
    • R. Abgrall, How to prevent pressure oscillations in multicomponent flow calculations: a quasi conservative approach, J. Comput. Phys. 125 (1996) 150-160.
    • (1996) J. Comput. Phys. , vol.125 , pp. 150-160
    • Abgrall, R.1
  • 3
    • 0022808623 scopus 로고
    • A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials
    • M.R. Baer, J.W. Nunziato, A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials, Int. J. Multiphase Flows 12 (1986) 861-889.
    • (1986) Int. J. Multiphase Flows , vol.12 , pp. 861-889
    • Baer, M.R.1    Nunziato, J.W.2
  • 4
    • 0001637708 scopus 로고    scopus 로고
    • Two-phase modeling of a deflagration - To detonation transition in granular materials: A critical examination of modeling issues
    • J.B. Bzil, R. Menikoff, S.F. Son, A.K. Kapila, D.S. Steward, Two-phase modeling of a deflagration - to detonation transition in granular materials: a critical examination of modeling issues, Phys. Fluids 11 (2) (1999) 378-402.
    • (1999) Phys. Fluids , vol.11 , Issue.2 , pp. 378-402
    • Bzil, J.B.1    Menikoff, R.2    Son, S.F.3    Kapila, A.K.4    Steward, D.S.5
  • 5
    • 0001522672 scopus 로고
    • Definition and weak stability of non-conservative products
    • G. Dal Maso, P. Le Floch, F. Murat, Definition and weak stability of non-conservative products, J. Math. Pures Appl. 74 (1995) 483.
    • (1995) J. Math. Pures Appl. , vol.74 , pp. 483
    • Dal Maso, G.1    Le Floch, P.2    Murat, F.3
  • 6
    • 0034959873 scopus 로고    scopus 로고
    • Some issues related to the modelling of interfacial areas in gas - Liquid flows I. The conceptual issues
    • J.-M. Delhaye, Some issues related to the modelling of interfacial areas in gas - liquid flows I. The conceptual issues, C.R. Acad. Sci. II b (329) (2001) 397-410.
    • (2001) C.R. Acad. Sci. , vol.2 B , Issue.329 , pp. 397-410
    • Delhaye, J.-M.1
  • 8
    • 0008028222 scopus 로고
    • Mathematical analysis of a two-phase model for reactive granular material
    • P. Embid, M. Baer, Mathematical analysis of a two-phase model for reactive granular material, Continuum Mech. Thermodyn. 4 (1992) 279.
    • (1992) Continuum Mech. Thermodyn. , vol.4 , pp. 279
    • Embid, P.1    Baer, M.2
  • 9
    • 0026931724 scopus 로고
    • Simplified asymptotic equations for the transition to detonation in reactive granular materials
    • P. Embid, J. Hunter, A. Majda, Simplified asymptotic equations for the transition to detonation in reactive granular materials, SIAM J. Appl. Math. 52 (1992) 1199.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1199
    • Embid, P.1    Hunter, J.2    Majda, A.3
  • 10
    • 0036153904 scopus 로고    scopus 로고
    • A compressible multiphase flow model with microinertia
    • S. Gavrilyuk, R. Saurel, A compressible multiphase flow model with microinertia, J. Comput. Phys. 175 (2002) 326-360.
    • (2002) J. Comput. Phys. , vol.175 , pp. 326-360
    • Gavrilyuk, S.1    Saurel, R.2
  • 12
    • 0004117522 scopus 로고
    • Résolution numérique des problèmes multidimensionnels de la dynamique des gaz
    • Editions Mir, Moscow
    • S.K. Godunov, A. Zabrodine, M. Ivanov, A. Kraiko, G. Prokopov, Résolution numérique des problèmes multidimensionnels de la dynamique des gaz, Editions Mir, Moscow, 1979.
    • (1979)
    • Godunov, S.K.1    Zabrodine, A.2    Ivanov, M.3    Kraiko, A.4    Prokopov, G.5
  • 13
    • 0001424539 scopus 로고    scopus 로고
    • A high-resolution numerical method for a two-phase model of deflagration-to-detonation transition
    • K.A. Gonthier, J.M. Powers, A high-resolution numerical method for a two-phase model of deflagration-to-detonation transition, J. Comput. Phys. 163 (2000) 376-433.
    • (2000) J. Comput. Phys. , vol.163 , pp. 376-433
    • Gonthier, K.A.1    Powers, J.M.2
  • 14
    • 84968497746 scopus 로고
    • Why non-conservative schemes converge to the wrong solution: Error analysis
    • T.Y. Hou, P. Le Floch, Why non-conservative schemes converge to the wrong solution: error analysis, Math. Comp. 62 (1994) 497-530.
    • (1994) Math. Comp. , vol.62 , pp. 497-530
    • Hou, T.Y.1    Le Floch, P.2
  • 15
    • 0000744590 scopus 로고    scopus 로고
    • Two-phase modeling of DDT: Structure of the velocity-relaxation zone
    • A. Kapila, S. Son, J. Bdzil, R. Menikoff, D. Stewart, Two-phase modeling of DDT: structure of the velocity-relaxation zone, Phys. Fluids 9 (12) (1997) 3885-3897.
    • (1997) Phys. Fluids , vol.9 , Issue.12 , pp. 3885-3897
    • Kapila, A.1    Son, S.2    Bdzil, J.3    Menikoff, R.4    Stewart, D.5
  • 16
    • 0000478461 scopus 로고    scopus 로고
    • A mechanistic model for shock to detonation transition in solid energetic materials
    • J. Massoni, R. Saurel, G. Baudin, G. Demol, A mechanistic model for shock to detonation transition in solid energetic materials, Phys. Fluids 11 (3) (1999) 710-736.
    • (1999) Phys. Fluids , vol.11 , Issue.3 , pp. 710-736
    • Massoni, J.1    Saurel, R.2    Baudin, G.3    Demol, G.4
  • 17
    • 0344237820 scopus 로고    scopus 로고
    • Expériences et simulations d'écoulements diphasiques en tubes à choc
    • Ph.D. Thesis, Université de Provence, France
    • X. Rogue, Expériences et simulations d'écoulements diphasiques en tubes à choc, Ph.D. Thesis, Université de Provence, France, 1997.
    • (1997)
    • Rogue, X.1
  • 18
    • 0004688001 scopus 로고    scopus 로고
    • Experimental and numerical investigation of the shock-induced fluidization of a particle bed
    • X. Rogue, G. Rodriguez, J.F. Haas, R. Saurel, Experimental and numerical investigation of the shock-induced fluidization of a particle bed, Shock Waves 8 (29-45) (1998).
    • (1998) Shock Waves , vol.8 , Issue.29-45
    • Rogue, X.1    Rodriguez, G.2    Haas, J.F.3    Saurel, R.4
  • 19
    • 4243637204 scopus 로고
    • Contribution à la modélisation mathématique et numérique des écoulements diphasiques constitués d'un nuage de particules dans un écoulement de gaz
    • Thèse d'Habilitation à Diriger des Recherches, Université Paris VI
    • L. Sainsaulieu, Contribution à la modélisation mathématique et numérique des écoulements diphasiques constitués d'un nuage de particules dans un écoulement de gaz, Thèse d'Habilitation à Diriger des Recherches, Université Paris VI, 1995.
    • (1995)
    • Sainsaulieu, L.1
  • 20
    • 0030514650 scopus 로고    scopus 로고
    • Travelling-wave solutions of convection-diffusion systems in nonconservation form
    • L. Sainsaulieu, Travelling-wave solutions of convection-diffusion systems in nonconservation form, SIAM J. Math. Anal. 27 (5) (1996) 1286-1310.
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.5 , pp. 1286-1310
    • Sainsaulieu, L.1
  • 21
    • 0001485352 scopus 로고    scopus 로고
    • A multiphase Godunov method for compressible multifluid and multiphase flows
    • R. Saurel, R. Abgrall, A multiphase Godunov method for compressible multifluid and multiphase flows, J. Comput. Phys. 150 (1999) 425-467.
    • (1999) J. Comput. Phys. , vol.150 , pp. 425-467
    • Saurel, R.1    Abgrall, R.2
  • 22
    • 0033294862 scopus 로고    scopus 로고
    • A simple method for compressible multifluid flows
    • R. Saurel, R. Abgrall, A simple method for compressible multifluid flows, SIAM J. Sci. Comp. 21 (3) (1999) 1115-1145.
    • (1999) SIAM J. Sci. Comp. , vol.21 , Issue.3 , pp. 1115-1145
    • Saurel, R.1    Abgrall, R.2
  • 23
    • 0344669268 scopus 로고    scopus 로고
    • A multiphase model with internal degree of freedom, application to shock-bubble interaction
    • (accepted)
    • R. Saurel, S. Gavrilyuk, F. Renaud, A multiphase model with internal degree of freedom, application to shock-bubble interaction, J. Fluid. Mech. (2003) (accepted).
    • (2003) J. Fluid. Mech.
    • Saurel, R.1    Gavrilyuk, S.2    Renaud, F.3
  • 24
    • 0035946230 scopus 로고    scopus 로고
    • A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation
    • R. Saurel, O. LeMetayer, A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation, J. Fluid. Mech. 431 (2001) 239-271.
    • (2001) J. Fluid. Mech. , vol.431 , pp. 239-271
    • Saurel, R.1    LeMetayer, O.2
  • 26
    • 0001124468 scopus 로고
    • A weak formulation of Roe's approximate Riemann solver
    • I. Toumi, A weak formulation of Roe's approximate Riemann solver, J. Comput. Phys. 102 (1992) 360.
    • (1992) J. Comput. Phys. , vol.102 , pp. 360
    • Toumi, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.