메뉴 건너뛰기




Volumn 4, Issue 1, 2011, Pages 139-151

Numerical model of the boltzmann equationrelated to the discontinuous galerkin method

Author keywords

Boltzmann equation; Discontinuous Galerkin finite elements

Indexed keywords


EID: 79958009935     PISSN: 19375093     EISSN: 19375077     Source Type: Journal    
DOI: 10.3934/krm.2011.4.139     Document Type: Article
Times cited : (15)

References (10)
  • 2
    • 57849133490 scopus 로고    scopus 로고
    • Variance-reduced Monte Carlo solutions of the Boltzmann equation for low-speed gas ows: A discontinuous Galerkin formulation
    • L. L. Baker and N. G. Hadjiconstantinou, Variance-reduced Monte Carlo solutions of the Boltzmann equation for low-speed gas ows: A discontinuous Galerkin formulation, Int. J. Numer. Meth. Fluids, 58, (2008), 381-402.
    • (2008) Int. J. Numer. Meth. Fluids , vol.58 , pp. 381-402
    • Baker, L.L.1    Hadjiconstantinou, N.G.2
  • 3
    • 0037455598 scopus 로고    scopus 로고
    • A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices. Performance and comparisons with Monte Carlo methods
    • J. A. Carrillo, I. M. Gamba, A. Majorana and C.-W. Shu, A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices. Performance and comparisons with Monte Carlo methods, Journal of Computational Physics, 184, (2003), 498-525.
    • (2003) Journal of Computational Physics , vol.184 , pp. 498-525
    • Carrillo, J.A.1    Gamba, I.M.2    Majorana, A.3    Shu, C.-W.4
  • 4
    • 33644542461 scopus 로고    scopus 로고
    • 2D semiconductor device simu-lations by WENO-Boltzmann schemes: Eciency, boundary conditions and comparison to Monte Carlo methods
    • J. A. Carrillo, I. M. Gamba, A. Majorana and C.-W. Shu, 2D semiconductor device simu-lations by WENO-Boltzmann schemes: Eciency, boundary conditions and comparison to Monte Carlo methods, Journal of Computational Physics, 214, (2006), 55-80.
    • (2006) Journal of Computational Physics , vol.214 , pp. 55-80
    • Carrillo, J.A.1    Gamba, I.M.2    Majorana, A.3    Shu, C.-W.4
  • 8
    • 0000076512 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
    • B. Cockburn and C.-W. Shu, Runge-Kutta discontinuous Galerkin methods for convection-dominated problems, Journal of Scientic Computing, 16, (2001), 173-261.
    • (2001) Journal of Scientic Computing , vol.16 , pp. 173-261
    • Cockburn, B.1    Shu, C.-W.2
  • 9
    • 0040347813 scopus 로고
    • A direct method for solving the Boltzmann equation
    • F. Rogier and J. Schneider, A direct method for solving the Boltzmann equation, Transport Theory Statist. Phys, 23, (1994), 313-338.
    • (1994) Transport Theory Statist. Phys , vol.23 , pp. 313-338
    • Rogier, F.1    Schneider, J.2
  • 10
    • 5844341702 scopus 로고
    • Temperature jump and Knudsen layer in a rareed gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules
    • Y. Sone, T. Ohwada and K. Aoki, Temperature jump and Knudsen layer in a rareed gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules, Physics of Fluids A, 1, (1989), 363-370.
    • (1989) Physics of Fluids A , vol.1 , pp. 363-370
    • Sone, Y.1    Ohwada, T.2    Aoki, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.