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Volumn 40, Issue 2, 2006, Pages 331-352

Relaxation models of phase transition flows

Author keywords

Critical point; Entropy optimization; Finite volume; Phase transition; Reactive flows; Relaxation

Indexed keywords


EID: 33745309565     PISSN: 0764583X     EISSN: 12903841     Source Type: Journal    
DOI: 10.1051/m2an:2006015     Document Type: Article
Times cited : (40)

References (30)
  • 1
    • 0037144892 scopus 로고    scopus 로고
    • A five-equation model for the simulation of interfaces between compressible fluids
    • G. Allaire, S. Clerc and S. Kokh, A five-equation model for the simulation of interfaces between compressible fluids. J. Comput.Phys. 181 (2002) 577-616.
    • (2002) J. Comput.Phys. , vol.181 , pp. 577-616
    • Allaire, G.1    Clerc, S.2    Kokh, S.3
  • 3
    • 14544292935 scopus 로고    scopus 로고
    • Finite volume simulation of cavitating flows
    • T. Barberon and P. Helluy, Finite volume simulation of cavitating flows. Comput. Fluids 34 (2005) 832-858.
    • (2005) Comput. Fluids , vol.34 , pp. 832-858
    • Barberon, T.1    Helluy, P.2
  • 4
    • 7244228409 scopus 로고    scopus 로고
    • Practical computation of axisymmetrical multifluid flows
    • T. Barberon, P. Helluy and S. Rouy, Practical computation of axisymmetrical multifluid flows. Int. J. on Finite Volumes 1 (2003) 1-34. http://averoes.math.univ-paris13.fr/IJFV
    • (2003) Int. J. on Finite Volumes 1 , vol.1 , pp. 1-34
    • Barberon, T.1    Helluy, P.2    Rouy, S.3
  • 5
    • 33745291057 scopus 로고    scopus 로고
    • A reduced stability condition for nonlinear relaxation to conservation laws
    • F. Bouchut, A reduced stability condition for nonlinear relaxation to conservation laws. J. Hyper. Diff. Eqns 1 (2004) 149-170.
    • (2004) J. Hyper. Diff. Eqns , vol.1 , pp. 149-170
    • Bouchut, F.1
  • 6
    • 0021563988 scopus 로고
    • Averaged multivalued solutions for scalar conservation laws
    • Y. Brenier, Averaged multivalued solutions for scalar conservation laws. SIAM J. Numer. Anal. 21 (1984) 1013-1037.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 1013-1037
    • Brenier, Y.1
  • 7
    • 0001355283 scopus 로고
    • Un algorithme rapide pour le calcul de transformées de Legendre-Fenchel discrètes
    • Y. Brenier, Un algorithme rapide pour le calcul de transformées de Legendre-Fenchel discrètes. C.R. Acad. Sci. Paris Sér. I Math. 308 (1989) 587-589.
    • (1989) C.R. Acad. Sci. Paris Sér. I Math. , vol.308 , pp. 587-589
    • Brenier, Y.1
  • 11
    • 84990689276 scopus 로고
    • Hyperbolic conservation laws with stiff relaxation terms and entropy
    • G.Q. Chen, C. David Levermore and T.-P. Liu, Hyperbolic conservation laws with stiff relaxation terms and entropy. Comm. Pure Appl. Math. 47 (1994) 787-830.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 787-830
    • Chen, G.Q.1    Levermore, C.D.2    Liu, T.-P.3
  • 13
    • 0346316980 scopus 로고    scopus 로고
    • Relaxation schemes for the multicomponent Euler system
    • S. Dellacherie, Relaxation schemes for the multicomponent Euler system. ESAIM: M2AN 37 (2003) 909-936.
    • (2003) ESAIM: M2AN , vol.37 , pp. 909-936
    • Dellacherie, S.1
  • 15
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • A. Harten, P.D. Lax and B. Van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25 (1983) 35-61.
    • (1983) SIAM Rev. , vol.25 , pp. 35-61
    • Harten, A.1    Lax, P.D.2    Van Leer, B.3
  • 16
    • 0034345304 scopus 로고    scopus 로고
    • Nonclassical shocks and kinetic relations: Strictly hyperbolic systems
    • electronic
    • B.T. Hayes and P.G. LeFloch, Nonclassical shocks and kinetic relations: strictly hyperbolic systems. SIAM J. Math. Anal. 31 (2000) 941-991 (electronic).
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 941-991
    • Hayes, B.T.1    LeFloch, P.G.2
  • 21
    • 0003212160 scopus 로고
    • Hyperbolic systems of conservation laws and the mathematical theory of shock waves
    • Philadelphia, SIAM
    • P.D. Lax, Hyperbolic systems of conservation laws and the mathematical theory of shock waves, in CBMS Regional Conf. Ser. In Appl. Math. 11, Philadelphia, SIAM (1972).
    • (1972) CBMS Regional Conf. Ser. in Appl. Math. , vol.11
    • Lax, P.D.1
  • 22
    • 0000339031 scopus 로고    scopus 로고
    • High-order schemes, entropy inequalities, and nonclassical shocks
    • P.G. LeFloch and C. Rohde, High-order schemes, entropy inequalities, and nonclassical shocks. SIAM J. Numer. Anal. 37 (2000) 2023-2060.
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 2023-2060
    • LeFloch, P.G.1    Rohde, C.2
  • 23
    • 0035922233 scopus 로고    scopus 로고
    • A class of approximate Riemann solvers and their relation to relaxation schemes
    • R.J. LeVeque and M. Pelanti, A class of approximate Riemann solvers and their relation to relaxation schemes. J. Comput. Phys. 172 (2001) 572-591.
    • (2001) J. Comput. Phys. , vol.172 , pp. 572-591
    • LeVeque, R.J.1    Pelanti, M.2
  • 24
    • 0001513936 scopus 로고
    • The Riemann problem for general systems of conservation laws
    • T.P. Liu, The Riemann problem for general systems of conservation laws. J. Differ. Equations 56 (1975) 218-234.
    • (1975) J. Differ. Equations , vol.56 , pp. 218-234
    • Liu, T.P.1
  • 25
    • 0030197212 scopus 로고    scopus 로고
    • A fast computational algorithm for the Legendre-Fenchel transform
    • Y. Lucet, A fast computational algorithm for the Legendre-Fenchel transform. Comput. Optim. Appl. 6 (1996) 27-57.
    • (1996) Comput. Optim. Appl. , vol.6 , pp. 27-57
    • Lucet, Y.1
  • 26
    • 0004879867 scopus 로고    scopus 로고
    • Faster than the fast Legendre transform, the linear-time Legendre transform
    • Y. Lucet, Faster than the fast Legendre transform, the linear-time Legendre transform. Numer. Algorithms 16 (1998) 171-185.
    • (1998) Numer. Algorithms , vol.16 , pp. 171-185
    • Lucet, Y.1
  • 27
    • 33745296086 scopus 로고
    • Multidimensional case of an entropie variational formulation of conservative hyperbolic systems
    • P.-A. Mazet and F. Bourdel, Multidimensional case of an entropie variational formulation of conservative hyperbolic systems. Rech. Aérospatiale 5 (1984) 369-378.
    • (1984) Rech. Aérospatiale , vol.5 , pp. 369-378
    • Mazet, P.-A.1    Bourdel, F.2
  • 28
    • 35949012093 scopus 로고
    • The Riemann problem for fluid flow of real materials
    • R. Menikoff and B.J. Plohr, The Riemann problem for fluid flow of real materials. Rev. Mod. Phys. 61 (1989) 75-130.
    • (1989) Rev. Mod. Phys. , vol.61 , pp. 75-130
    • Menikoff, R.1    Plohr, B.J.2
  • 29
    • 0000955565 scopus 로고
    • Boltzmann type schemes for gas dynamics and the entropy property
    • B. Perthame, Boltzmann type schemes for gas dynamics and the entropy property. SIAM J. Numer. Anal. 27 (1990) 1405-1421.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1405-1421
    • Perthame, B.1
  • 30
    • 0001485352 scopus 로고    scopus 로고
    • A multiphase Godunov method for compressible multifluid and multiphase flows
    • R. Saurel and 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.