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Volumn 33, Issue 2, 2004, Pages 125-155

A conservative and entropy scheme for a simplified model of granular media

Author keywords

Discretization; Entropy scheme; Fokker Planck equation; Granular media; Inelastic collisions; Kinetic models

Indexed keywords


EID: 2542635096     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1081/TT-120037804     Document Type: Article
Times cited : (23)

References (19)
  • 2
    • 0037764158 scopus 로고    scopus 로고
    • The collapse phenomenon in one-dimensional inelastic point particle systems
    • Benedetto, D., Caglioti, E. (1999). The collapse phenomenon in one-dimensional inelastic point particle systems. Physica D 132:457.
    • (1999) Physica D , vol.132 , pp. 457
    • Benedetto, D.1    Caglioti, E.2
  • 4
    • 0032090818 scopus 로고    scopus 로고
    • A non-Maxwellian equilibrium distribution for the one-dimensional granular media
    • Benedetto, D., Caglioti, E., Carillo, J. A., Pulvirenti, M. (1998). A non-Maxwellian equilibrium distribution for the one-dimensional granular media. J. Stat. Phys. 91(5/6):979.
    • (1998) J. Stat. Phys. , vol.91 , Issue.5-6 , pp. 979
    • Benedetto, D.1    Caglioti, E.2    Carillo, J.A.3    Pulvirenti, M.4
  • 5
    • 0033204043 scopus 로고    scopus 로고
    • A hydrodynamical model arising in the context of granular media
    • Benedetto, D., Caglioti, E., Golse, F., Pulvirenti, M. (1999). A hydrodynamical model arising in the context of granular media. Comput. Math. Appl. 38(7-8):121-131.
    • (1999) Comput. Math. Appl. , vol.38 , Issue.7-8 , pp. 121-131
    • Benedetto, D.1    Caglioti, E.2    Golse, F.3    Pulvirenti, M.4
  • 6
    • 0003270351 scopus 로고
    • Nonnegative matrices in the mathematical sciences
    • Berman, A., Plemmons, R. J. (1994). Nonnegative matrices in the mathematical sciences. Classics Appl. Math. 9.
    • (1994) Classics Appl. Math. , pp. 9
    • Berman, A.1    Plemmons, R.J.2
  • 7
    • 0000449286 scopus 로고    scopus 로고
    • Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation
    • Buet, C., Cordier, S. (1998a). Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation. SIAM J. Numer. Anal 36(3):953-973.
    • (1998) SIAM J. Numer. Anal. , vol.36 , Issue.3 , pp. 953-973
    • Buet, C.1    Cordier, S.2
  • 8
    • 0039498698 scopus 로고    scopus 로고
    • Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation
    • Buet, C., Cordier, S. (1998b). Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation. J. Comput. Phys. 145(1):228-245.
    • (1998) J. Comput. Phys. , vol.145 , Issue.1 , pp. 228-245
    • Buet, C.1    Cordier, S.2
  • 9
    • 0037054415 scopus 로고    scopus 로고
    • Numerical analysis of the isotropic Fokker-Planck-Landau equation
    • Buet, C., Cordier, S. (2002). Numerical analysis of the isotropic Fokker-Planck-Landau equation. (English) J. Comput. Phys. 179(1):43-67.
    • (2002) (English) J. Comput. Phys. , vol.179 , Issue.1 , pp. 43-67
    • Buet, C.1    Cordier, S.2
  • 10
    • 2542596492 scopus 로고    scopus 로고
    • Bellomo, N., Gatignol, R., Eds. Lecture Notes on the Discretization of the Boltzmann Equation World Scientific (to appear)
    • Buet, C., Cordier, S. (2003). Bellomo, N., Gatignol, R., Eds. Numerical Method for the Compton Scattering Operator. Lecture Notes on the Discretization of the Boltzmann Equation World Scientific (to appear).
    • (2003) Numerical Method for the Compton Scattering Operator
    • Buet, C.1    Cordier, S.2
  • 11
    • 0031570220 scopus 로고    scopus 로고
    • Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation
    • Buet, C., Cordier, S., Degond, P., Lemou, M. (1997). Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation. J. Comput. Phys. 133(2):310-322.
    • (1997) J. Comput. Phys. , vol.133 , Issue.2 , pp. 310-322
    • Buet, C.1    Cordier, S.2    Degond, P.3    Lemou, M.4
  • 12
    • 0035453010 scopus 로고    scopus 로고
    • Numerical solution of an ionic Fokker-Planck equation with electronic temperature
    • Buet, C., Dellacherie, S., Sentis, R. (2001). Numerical solution of an ionic Fokker-Planck equation with electronic temperature. SIAM J. Numer. Anal. 39(4): 1219-1253.
    • (2001) SIAM J. Numer. Anal. , vol.39 , Issue.4 , pp. 1219-1253
    • Buet, C.1    Dellacherie, S.2    Sentis, R.3
  • 13
    • 0000956425 scopus 로고
    • A practical difference scheme for Fokker-Planck equations
    • Chang, J. S., Cooper, G. (1970). A practical difference scheme for Fokker-Planck equations. J. Comput. Phys. 6:1-16.
    • (1970) J. Comput. Phys. , vol.6 , pp. 1-16
    • Chang, J.S.1    Cooper, G.2
  • 14
    • 84864161175 scopus 로고
    • On the modified Enskog equation for elastic and inelastic collisions
    • Esteban, M., Perthame, B. (1991). On the modified Enskog equation for elastic and inelastic collisions. Models XIth Spin. Ann. Inst. Poincaré 8:289-308.
    • (1991) Models XIth Spin. Ann. Inst. Poincaré , vol.8 , pp. 289-308
    • Esteban, M.1    Perthame, B.2
  • 15
    • 0036001598 scopus 로고    scopus 로고
    • Generalized discrete velocity models
    • Görsch, D. (2002). Generalized discrete velocity models. Math. Models Meth. Appl. Sci. 12:49-76.
    • (2002) Math. Models Meth. Appl. Sci. , vol.12 , pp. 49-76
    • Görsch, D.1
  • 16
    • 0347922060 scopus 로고
    • Inelastic collapse and clumping in a one-dimensional granular medium
    • MacNamara, S., Young, W. R. (1992). Inelastic collapse and clumping in a one-dimensional granular medium. Phys. Fluids, A4 3:496.
    • (1992) Phys. Fluids, A4 , vol.3 , pp. 496
    • MacNamara, S.1    Young, W.R.2
  • 17
    • 2542607098 scopus 로고
    • Kinetics of a one-dimensional granular medium in the quasi-elastic limit
    • MacNamara, S., Young, W. R. (1993). Kinetics of a one-dimensional granular medium in the quasi-elastic limit. Phys. Fluids AS 1:1619.
    • (1993) Phys. Fluids AS , vol.1 , pp. 1619
    • MacNamara, S.1    Young, W.R.2
  • 18
    • 0002843730 scopus 로고
    • Inelastic collapse in two dimension
    • MacNamara, S., Young, W. R. (1994). Inelastic collapse in two dimension. Phys. Rev. E 50:R28.
    • (1994) Phys. Rev. E , vol.50
    • MacNamara, S.1    Young, W.R.2
  • 19
    • 2542561546 scopus 로고    scopus 로고
    • One dimensional kinetic models of granular flows
    • Toscani, G. (2000). One dimensional kinetic models of granular flows. M2 AN 34:6.
    • (2000) M2 AN , vol.34 , pp. 6
    • Toscani, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.