메뉴 건너뛰기




Volumn 10, Issue 6, 2000, Pages 639-660

A hierarchy of models for two-phase flows

Author keywords

Conservation laws with constraint; Conservation laws with relaxation; Pressureless gas; Sticky particles and blocks; Two phase flow

Indexed keywords


EID: 0000395159     PISSN: 09388974     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003320010006     Document Type: Article
Times cited : (48)

References (21)
  • 1
    • 0000172951 scopus 로고
    • Problème d'obstacle pour une équation quasi-linéaire du premier ordre
    • L. Barthélemy, Problème d'obstacle pour une équation quasi-linéaire du premier ordre, Ann. Fac Sci. Toulouse Math. 9 (1988), 137-159.
    • (1988) Ann. Fac Sci. Toulouse Math. , vol.9 , pp. 137-159
    • Barthélemy, L.1
  • 2
    • 85037496839 scopus 로고
    • A Roe-type numerical scheme for hyperbolic systems with relaxation
    • F. Bereux and L. Sainsaulieu, A Roe-type numerical scheme for hyperbolic systems with relaxation, C.R. Acad. Sci. Paris Sér. I Math. 320 (1995), 379-384.
    • (1995) C.R. Acad. Sci. Paris Sér. I Math. , vol.320 , pp. 379-384
    • Bereux, F.1    Sainsaulieu, L.2
  • 3
    • 0001230725 scopus 로고
    • On zero pressure gas dynamics
    • Advances in kinetic theory and computing, World Sci. Publishing, River Edge, NJ
    • F. Bouchut, On zero pressure gas dynamics, Advances in kinetic theory and computing, 171-190, Ser. Adv. Math. Appl. Sci. 22 (1994), World Sci. Publishing, River Edge, NJ.
    • (1994) Ser. Adv. Math. Appl. Sci. , vol.22 , pp. 171-190
    • Bouchut, F.1
  • 4
    • 0032092187 scopus 로고    scopus 로고
    • One-dimensional transport equations with discontinuous coefficients
    • F. Bouchut and F. James, One-dimensional transport equations with discontinuous coefficients, Nonlinear Anal. 32 (1998), 891-933.
    • (1998) Nonlinear Anal. , vol.32 , pp. 891-933
    • Bouchut, F.1    James, F.2
  • 5
    • 0033482438 scopus 로고    scopus 로고
    • Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
    • F. Bouchut and F. James, Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness, Comm. Partial Diff. Eq. 24 (1999), 2173-2189.
    • (1999) Comm. Partial Diff. Eq. , vol.24 , pp. 2173-2189
    • Bouchut, F.1    James, F.2
  • 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
    • 0001454943 scopus 로고    scopus 로고
    • Sticky particles and scalar conservation laws
    • Y. Brenier, E. Grenier, Sticky particles and scalar conservation laws, SIAM J. Numer. Anal. 35 (1998), 2317-2328.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2317-2328
    • Brenier, Y.1    Grenier, E.2
  • 8
    • 84990689276 scopus 로고
    • Hyperbolic conservation laws with stiff relaxation terms and entropy
    • G. Q. Chen, C. D. 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
  • 9
    • 0000225248 scopus 로고    scopus 로고
    • An asymptotic two-fluid model for Roe-scheme computation
    • John Wiley & Sons, New York
    • J. Cortes, An asymptotic two-fluid model for Roe-scheme computation, Comput. Fluid Dynamics (proceedings of ECCOMAS 98), Vol. 2 (1998), 416-420, John Wiley & Sons, New York.
    • (1998) Comput. Fluid Dynamics (Proceedings of ECCOMAS 98) , vol.2 , pp. 416-420
    • Cortes, J.1
  • 10
    • 0000453066 scopus 로고    scopus 로고
    • A density perturbation method to study the eigenstructure of two-phase flow equation systems
    • J. Cortes, A. Debussche, and I. Toumi, A density perturbation method to study the eigenstructure of two-phase flow equation systems, J. Comput. Phys. 147 (1998), 463-484.
    • (1998) J. Comput. Phys. , vol.147 , pp. 463-484
    • Cortes, J.1    Debussche, A.2    Toumi, I.3
  • 11
    • 0001522672 scopus 로고
    • Definition and weak stability of nonconservative products
    • G. DalMaso, P. LeFloch, and F. Murat, Definition and weak stability of nonconservative products, J. Math. Pure Appl. 74 (1995), 483-548.
    • (1995) J. Math. Pure Appl. , vol.74 , pp. 483-548
    • DalMaso, G.1    LeFloch, P.2    Murat, F.3
  • 12
    • 0023513540 scopus 로고
    • Une approche analytique d'un modèle black-oil des écoulements triphasiques compressibles en ingénierie pétrolière
    • G. Gagneux, A.-M. Lefevère, and M. Madaune-Tort, Une approche analytique d'un modèle black-oil des écoulements triphasiques compressibles en ingénierie pétrolière, Journal de Mécanique Théorique et Appliquée 6 (1987), 547-569.
    • (1987) Journal de Mécanique Théorique et Appliquée , vol.6 , pp. 547-569
    • Gagneux, G.1    Lefevère, A.-M.2    Madaune-Tort, M.3
  • 15
    • 0003385926 scopus 로고    scopus 로고
    • The prediction of phase distribution and separation phenomena using two-fluid models
    • R. T. Lahey Jr., Elsevier Science Publ., Amsterdam
    • R. T. Lahey Jr., The prediction of phase distribution and separation phenomena using two-fluid models, Boiling Heat Transfer, R. T. Lahey Jr., Elsevier Science Publ., Amsterdam, 85-122.
    • Boiling Heat Transfer , pp. 85-122
    • Lahey R.T., Jr.1
  • 16
    • 0001241782 scopus 로고
    • Problèmes unilatéraux pour des équations non linéaires de convection-réaction
    • L. Lévi, Problèmes unilatéraux pour des équations non linéaires de convection-réaction, Ann. Fac. Sci. Toulouse Math. 4 (1995), 593-631.
    • (1995) Ann. Fac. Sci. Toulouse Math. , vol.4 , pp. 593-631
    • Lévi, L.1
  • 18
    • 21544449601 scopus 로고
    • Hyperbolic conservation laws with relaxation
    • T-P. Liu, Hyperbolic conservation laws with relaxation, Comm. Math. Phys. 108 (1987), 153-175.
    • (1987) Comm. Math. Phys. , vol.108 , pp. 153-175
    • Liu, T.-P.1
  • 19
    • 0027677962 scopus 로고
    • Numerical methods for hvperbolic conservation laws with stiff relaxation I. Spurious solutions
    • R. B. Pember, Numerical methods for hvperbolic conservation laws with stiff relaxation I. Spurious solutions, SIAM J. Appl. Math 53 (1993), 1293-1330.
    • (1993) SIAM J. Appl. Math , vol.53 , pp. 1293-1330
    • Pember, R.B.1
  • 20
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors and difference schemes
    • P. L. Roe, Approximate Riemann solvers, parameter vectors and difference schemes, J. Comput. Phys. 43 (1981), 357-372.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 21
    • 0005742838 scopus 로고    scopus 로고
    • Approximate Riemann solvers and flux vector splitting schemes for nvo-phase flow
    • Von Karman Institute for Fluid Dynamics, 8-12 March
    • I. Toumi, A. Kumbaro, and H. Paillère, Approximate Riemann solvers and flux vector splitting schemes for nvo-phase flow. Lecture Series in Computational Fluid Dynamics, Von Karman Institute for Fluid Dynamics, 8-12 March 1999.
    • (1999) Lecture Series in Computational Fluid Dynamics
    • Toumi, I.1    Kumbaro, A.2    Paillère, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.