메뉴 건너뛰기




Volumn 202, Issue 1, 2005, Pages 216-235

Accurate numerical methods for the collisional motion of (heated) granular flows

Author keywords

Granular gases; Homogeneous cooling; Inelastic Boltzmann equation; Spectral methods

Indexed keywords

DISTRIBUTION FUNCTIONS; GASES; GRANULAR MATERIALS; NUMERICAL METHODS;

EID: 8744308325     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.06.023     Document Type: Article
Times cited : (20)

References (37)
  • 2
    • 85190790996 scopus 로고    scopus 로고
    • Cooling granular gases: The role of correlations in the velocity field
    • In Granular Gas Dynamics
    • A. Baldassarri U. Marini Bettolo Marconi A. Puglisi Cooling granular gases: The role of correlations in the velocity field, In Granular Gas Dynamics Lecture Notes in Physics 624 2003 93-116
    • (2003) Lecture Notes in Physics , vol.624 , pp. 93-116
    • Baldassarri, A.1    Marini Bettolo Marconi, U.2    Puglisi, A.3
  • 3
    • 0000784591 scopus 로고
    • Exact solutions of the Boltzmann equation
    • A.V. Bobylev Exact solutions of the Boltzmann equation Dokl. Akad. Nauk. USSR 225 1975 1296-1299
    • (1975) Dokl. Akad. Nauk. USSR , vol.225 , pp. 1296-1299
    • Bobylev, A.V.1
  • 4
    • 0034343060 scopus 로고    scopus 로고
    • On some properties of kinetic and hydrodynamics equations for inelastic interactions
    • A.V. Bobylev J.A. Carrillo I.M. Gamba On some properties of kinetic and hydrodynamics equations for inelastic interactions J. Statist. Phys. 98 2000 743-773
    • (2000) J. Statist. Phys. , vol.98 , pp. 743-773
    • Bobylev, A.V.1    Carrillo, J.A.2    Gamba, I.M.3
  • 5
    • 0036115583 scopus 로고    scopus 로고
    • Moment equations for a granular material in a thermal bath
    • A.V. Bobylev C. Cercignani Moment equations for a granular material in a thermal bath J. Statist. Phys. 106 2002 547-567
    • (2002) J. Statist. Phys. , vol.106 , pp. 547-567
    • Bobylev, A.V.1    Cercignani, C.2
  • 6
    • 0037210439 scopus 로고    scopus 로고
    • Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions
    • A.V. Bobylev C. Cercignani Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions J. Statist. Phys. 110 2003 333-375
    • (2003) J. Statist. Phys. , vol.110 , pp. 333-375
    • Bobylev, A.V.1    Cercignani, C.2
  • 7
    • 0037276633 scopus 로고    scopus 로고
    • Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials
    • A.V. Bobylev C. Cercignani G. Toscani Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials J. Statist. Phys. 111 2003 403-417
    • (2003) J. Statist. Phys. , vol.111 , pp. 403-417
    • Bobylev, A.V.1    Cercignani, C.2    Toscani, G.3
  • 8
    • 85190770497 scopus 로고    scopus 로고
    • Moment inequalities and high energy tails for Boltzmann equations with inelastic interactions
    • in press
    • A.V. Bobylev, I.M. Gamba, V. Panferov, Moment inequalities and high energy tails for Boltzmann equations with inelastic interactions, J. Statist. Phys., in press
    • J. Statist. Phys.
    • Bobylev, A.V.1    Gamba, I.M.2    Panferov, V.3
  • 9
    • 0942290125 scopus 로고    scopus 로고
    • The inelastic Maxwell model
    • In Granular Gas Dynamics
    • E. Ben-Naim P.L. Krapivsky The inelastic Maxwell model, In Granular Gas Dynamics Lecture Notes in Physics 624 2003 63-92
    • (2003) Lecture Notes in Physics , vol.624 , pp. 63-92
    • Ben-Naim, E.1    Krapivsky, P.L.2
  • 10
  • 11
    • 85071922341 scopus 로고    scopus 로고
    • Granular gases with impact-velocity dependend restitution coefficient
    • In Granular Gases
    • N.V. Brilliantov T. Pöschel Granular gases with impact-velocity dependend restitution coefficient, In Granular Gases Lecture Notes in Physics 564 2000 100-124
    • (2000) Lecture Notes in Physics , vol.564 , pp. 100-124
    • Brilliantov, N.V.1    Pöschel, T.2
  • 13
    • 0034504071 scopus 로고    scopus 로고
    • Steady states of a Boltzmann equation for driven granular media
    • J.A. Carrillo C. Cercignani I.M. Gamba Steady states of a Boltzmann equation for driven granular media Phys. Rev. E 62 2000 7700-7707
    • (2000) Phys. Rev. E , vol.62 , pp. 7700-7707
    • Carrillo, J.A.1    Cercignani, C.2    Gamba, I.M.3
  • 14
    • 0035534231 scopus 로고    scopus 로고
    • Shear flow of a granular material
    • C. Cercignani Shear flow of a granular material J. Statist. Phys. 102 2001 1407-1415
    • (2001) J. Statist. Phys. , vol.102 , pp. 1407-1415
    • Cercignani, C.1
  • 15
    • 2442546537 scopus 로고
    • Recent developments in the mechanics of granular materials
    • Bologna: Pitagora editrice
    • C. Cercignani Recent developments in the mechanics of granular materials Fisica matematica e ingegneria delle strutture 1995 Pitagora editrice Bologna pp. 119-132
    • (1995) Fisica Matematica E Ingegneria Delle Strutture , pp. 119-132
    • Cercignani, C.1
  • 18
    • 0007244852 scopus 로고
    • Exact solutions of the nonlinear Boltzmann equation and related kinetic models
    • Amsterdam: North-Holland
    • M.H. Ernst Exact solutions of the nonlinear Boltzmann equation and related kinetic models, Nonequilibrium Phenomena I. The Boltzmann equation 1983 North-Holland Amsterdam 52-119
    • (1983) Nonequilibrium Phenomena I. The Boltzmann Equation , pp. 52-119
    • Ernst, M.H.1
  • 19
    • 1642375713 scopus 로고    scopus 로고
    • High energy tails for inelastic Maxwell models
    • M.H. Ernst R. Brito High energy tails for inelastic Maxwell models Europhys. Lett. 43 2002 497-502
    • (2002) Europhys. Lett. , vol.43 , pp. 497-502
    • Ernst, M.H.1    Brito, R.2
  • 20
    • 0036393182 scopus 로고    scopus 로고
    • Scaling solutions of inelastic Boltzmann equation with over-populated high energy tails
    • M.H. Ernst R. Brito Scaling solutions of inelastic Boltzmann equation with over-populated high energy tails J. Statist. Phys. 109 2002 407-432
    • (2002) J. Statist. Phys. , vol.109 , pp. 407-432
    • Ernst, M.H.1    Brito, R.2
  • 21
  • 22
    • 0037431128 scopus 로고    scopus 로고
    • High order numerical methods for the space non-homogeneous case for the Boltzmann equation
    • F. Filbet G. Russo High order numerical methods for the space non-homogeneous case for the Boltzmann equation J. Comp. Phys. 176 2003 457-480
    • (2003) J. Comp. Phys. , vol.176 , pp. 457-480
    • Filbet, F.1    Russo, G.2
  • 23
    • 85190798884 scopus 로고    scopus 로고
    • A rescaling velocity method for kinetic equations
    • Work in progress
    • F. Filbet, G. Russo, A rescaling velocity method for kinetic equations, Work in progress
    • Filbet, F.1    Russo, G.2
  • 24
    • 85190826730 scopus 로고    scopus 로고
    • On the Boltzmann equation for diffusively excited granular media
    • in press
    • I.M. Gamba, V. Panferov, C. Villani, On the Boltzmann equation for diffusively excited granular media, Commun. Math. Phys., in press
    • Commun. Math. Phys.
    • Gamba, I.M.1    Panferov, V.2    Villani, C.3
  • 25
    • 85190760323 scopus 로고    scopus 로고
    • Direct simulation to the uniformly heated granular Boltzmann equation
    • in press
    • I.M. Gamba, S. Rjasanow, R. Wagner, Direct simulation to the uniformly heated granular Boltzmann equation, Math. Comp. Model, in press
    • Math. Comp. Model
    • Gamba, I.M.1    Rjasanow, S.2    Wagner, R.3
  • 27
    • 0037155756 scopus 로고    scopus 로고
    • Nontrivial velocity distributions in inelastic gases
    • P.L. Krapivsky E. Ben-Naim Nontrivial velocity distributions in inelastic gases J. Phys. A 35 2002 LL147-LL152
    • (2002) J. Phys. A , vol.35
    • Krapivsky, P.L.1    Ben-Naim, E.2
  • 28
    • 0037262059 scopus 로고    scopus 로고
    • Spectral methods for onedimensional kinetic models of granular flows and numerical quasi elastic limit
    • G. Naldi L. Pareschi G. Toscani Spectral methods for onedimensional kinetic models of granular flows and numerical quasi elastic limit M2AN Math. Model. Numer. Anal. 37 2003 73-90
    • (2003) M2AN Math. Model. Numer. Anal. , vol.37 , pp. 73-90
    • Naldi, G.1    Pareschi, L.2    Toscani, G.3
  • 29
    • 2942539228 scopus 로고    scopus 로고
    • Computational methods and fast algorithms for Boltzmann equations Chapter 7
    • Singapore: World-Scientific
    • L. Pareschi Computational methods and fast algorithms for Boltzmann equations Chapter 7, Lecture Notes on the discretization of the Boltzmann equation 2003 World-Scientific Singapore 527-548
    • (2003) Lecture Notes on the Discretization of the Boltzmann Equation , pp. 527-548
    • Pareschi, L.1
  • 30
    • 0030518624 scopus 로고    scopus 로고
    • A Fourier spectral method for homogeneous Boltzmann equations
    • L. Pareschi B. Perthame A Fourier spectral method for homogeneous Boltzmann equations Trans. Theo. Stat. Phys. 25 1996 369-383
    • (1996) Trans. Theo. Stat. Phys. , vol.25 , pp. 369-383
    • Pareschi, L.1    Perthame, B.2
  • 31
    • 0001752597 scopus 로고    scopus 로고
    • Numerical solution of the Boltzmann equation I: Spectrally accurate approximation of the collision operator
    • L. Pareschi G. Russo Numerical solution of the Boltzmann equation I: Spectrally accurate approximation of the collision operator SIAM J. Numer. Anal. 37 2000 1217-1245
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1217-1245
    • Pareschi, L.1    Russo, G.2
  • 32
    • 3543013213 scopus 로고    scopus 로고
    • Asymptotic properties of the inelastic Kac model
    • A. Pulvirenti G. Toscani Asymptotic properties of the inelastic Kac model J. Statist. Phys. 114 2004 1453-1480
    • (2004) J. Statist. Phys. , vol.114 , pp. 1453-1480
    • Pulvirenti, A.1    Toscani, G.2
  • 34
    • 4143059857 scopus 로고    scopus 로고
    • Exact steady-state solution of the Boltzmann equation: A driven one-dimensional inelastic Maxwell gas
    • A. Santos M.H. Ernst Exact steady-state solution of the Boltzmann equation: A driven one-dimensional inelastic Maxwell gas Phys. Rev. E 68 2003
    • (2003) Phys. Rev. E , vol.68
    • Santos, A.1    Ernst, M.H.2
  • 35
    • 0034549474 scopus 로고    scopus 로고
    • Onedimensional kinetic models of granular flows
    • G. Toscani Onedimensional kinetic models of granular flows M2AN Math. Model. Numer. Anal. 34 2000 1277-1291
    • (2000) M2AN Math. Model. Numer. Anal. , vol.34 , pp. 1277-1291
    • Toscani, G.1
  • 36
    • 3042573547 scopus 로고    scopus 로고
    • Kinetic and hydrodinamic models of nearly elastic granular flows
    • G. Toscani Kinetic and hydrodinamic models of nearly elastic granular flows Monatsch. Math. 142 2004 179-192
    • (2004) Monatsch. Math. , vol.142 , pp. 179-192
    • Toscani, G.1
  • 37
    • 85190778559 scopus 로고    scopus 로고
    • Velocity distributions in homogeneous cooling and heated granular fluids
    • T.P.C. Van Noije M.H. Ernst Velocity distributions in homogeneous cooling and heated granular fluids Gran. Matt. 1:57 1998
    • (1998) Gran. Matt. , vol.1 , Issue.57
    • Van Noije, T.P.C.1    Ernst, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.