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Volumn 98, Issue 1-2, 2000, Pages 419-440

New discrete model Boltzmann equations for arbitrary partitions of the velocity space

Author keywords

Boltzmann equation; Discrete velocity models; Kinetic theory

Indexed keywords


EID: 0034341493     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018643409890     Document Type: Article
Times cited : (2)

References (25)
  • 2
    • 0002408006 scopus 로고
    • Nonlinear model Boltzmann equations and exact solutions
    • M. H. Ernst, Nonlinear model Boltzmann equations and exact solutions, Phys. Rep. 78:1-171 (1981).
    • (1981) Phys. Rep. , vol.78 , pp. 1-171
    • Ernst, M.H.1
  • 4
    • 0001241273 scopus 로고
    • On the initial and initial-boundary value problem for the discrete Boltzmann equation
    • N. Bellomo and T. Gustafsson, On the initial and initial-boundary value problem for the discrete Boltzmann equation, Review. Math. Phys. 3:137-162 (1992).
    • (1992) Review. Math. Phys. , vol.3 , pp. 137-162
    • Bellomo, N.1    Gustafsson, T.2
  • 5
    • 0004022482 scopus 로고
    • Cambridge University Press, Cambridge
    • J. C. Maxwell, Scientific Papers II (Cambridge University Press, Cambridge, 1890).
    • (1890) Scientific Papers , vol.2
    • Maxwell, J.C.1
  • 6
    • 84958443216 scopus 로고
    • Study of rarefied shear flow by the discrete velocity method
    • J. E. Broadwell, Study of rarefied shear flow by the discrete velocity method, J. Fluid Mech. 19:401-414 (1964).
    • (1964) J. Fluid Mech. , vol.19 , pp. 401-414
    • Broadwell, J.E.1
  • 7
    • 36849125559 scopus 로고
    • Shock structure in a simple discrete velocity gas
    • J. E. Broadwell, Shock structure in a simple discrete velocity gas, Phys. Fluids 7:1243-1248 (1964).
    • (1964) Phys. Fluids , vol.7 , pp. 1243-1248
    • Broadwell, J.E.1
  • 9
    • 0016644354 scopus 로고
    • Etude de la propagation des ondes dans un gaz à 14 vitesses
    • H. Cabannes, Etude de la propagation des ondes dans un gaz à 14 vitesses, J. de Mécanique 14:705-744 (1975).
    • (1975) J. de Mécanique , vol.14 , pp. 705-744
    • Cabannes, H.1
  • 10
    • 0031483934 scopus 로고    scopus 로고
    • Nested-squares discrete Boltzmann models with arbitrary number of velocities satisfying a continuous theory relation
    • H. Cornille, Nested-squares discrete Boltzmann models with arbitrary number of velocities satisfying a continuous theory relation. Trans. Th. Stat. Phys. 26:359-371 (1997).
    • (1997) Trans. Th. Stat. Phys. , vol.26 , pp. 359-371
    • Cornille, H.1
  • 12
    • 0000186253 scopus 로고
    • Discretization of the Boltzmann equation and discrete velocity models
    • J. Harvey and G. Lord, eds. Oxford University Press, Oxford
    • A. V. Bobylev, A. Palczewski, and J. Schneider, Discretization of the Boltzmann equation and discrete velocity models, in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds. (Oxford University Press, Oxford, 1995), pp. 857-863.
    • (1995) Rarefied Gas Dynamics , vol.19 , pp. 857-863
    • Bobylev, A.V.1    Palczewski, A.2    Schneider, J.3
  • 13
    • 0000199825 scopus 로고
    • On approximation of the Boltzmann equation by discrete velocity models
    • A. V. Bobylev, A. Palczewski, and J. Schneider, On approximation of the Boltzmann equation by discrete velocity models, C. R. Acad. Sci. Paris 320:639-644 (1995).
    • (1995) C. R. Acad. Sci. Paris , vol.320 , pp. 639-644
    • Bobylev, A.V.1    Palczewski, A.2    Schneider, J.3
  • 14
    • 0008492827 scopus 로고    scopus 로고
    • A consistency result for a discrete-velocity model of the Boltzmann equation
    • A. Palczewski, J. Schneider, and A. V. Bobylev, A consistency result for a discrete-velocity model of the Boltzmann equation, SIAM J. Numer. Anal. 34:1865-1883 (1997).
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1865-1883
    • Palczewski, A.1    Schneider, J.2    Bobylev, A.V.3
  • 15
    • 0000109201 scopus 로고
    • Numerical study of discrete-velocity gases
    • T. Inamuro and B. Sturtevant, Numerical study of discrete-velocity gases, Phys. Fluids A 2:2196-2203 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 2196-2203
    • Inamuro, T.1    Sturtevant, B.2
  • 16
    • 0040347813 scopus 로고
    • A direct method for solving the Boltzmann equation
    • F. Rogier and J. Schneider, A direct method for solving the Boltzmann equation, Trans. Th. Stat. Phys. 23:313-338 (1994).
    • (1994) Trans. Th. Stat. Phys. , vol.23 , pp. 313-338
    • Rogier, F.1    Schneider, J.2
  • 17
    • 0030547664 scopus 로고    scopus 로고
    • A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics
    • C. Buet, A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics, Trans. Th. Stat. Phys. 25:33-60 (1996).
    • (1996) Trans. Th. Stat. Phys. , vol.25 , pp. 33-60
    • Buet, C.1
  • 20
    • 0039460188 scopus 로고    scopus 로고
    • Temperature, entropy, and kinetic theory
    • C. Cercignani, Temperature, entropy, and kinetic theory, J. Stat. Phys. 87:1097-1109 (1997).
    • (1997) J. Stat. Phys. , vol.87 , pp. 1097-1109
    • Cercignani, C.1
  • 22
    • 0002130257 scopus 로고    scopus 로고
    • A general discrete velocity model including internal degrees of freedom
    • H. Nievoll, P. Griehsnig, P. Reiterer, and F. Schürrer, A general discrete velocity model including internal degrees of freedom, Complex Systems 10:417-435 (1996).
    • (1996) Complex Systems , vol.10 , pp. 417-435
    • Nievoll, H.1    Griehsnig, P.2    Reiterer, P.3    Schürrer, F.4
  • 24
    • 0001317857 scopus 로고
    • Formation of maxwellian tails
    • M. Krook and T. T. Wu, Formation of Maxwellian tails, Phys. Rev. Lett. 36:1107-1109 (1976).
    • (1976) Phys. Rev. Lett. , vol.36 , pp. 1107-1109
    • Krook, M.1    Wu, T.T.2
  • 25
    • 0001152913 scopus 로고
    • Exact solutions of the Boltzmann equation
    • A. V. Bobylev, Exact solutions of the Boltzmann equation, Sov. Phys. Dokl. 20:822-824 (1976).
    • (1976) Sov. Phys. Dokl. , vol.20 , pp. 822-824
    • Bobylev, A.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.