A discretization of the multigroup PN radiative transfer equation on general meshes

被引：8
作者：
Hermeline, F. [1 ]
机构：
[1] CEA, DAM, DIF, F-91297 Arpajon, France
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2016年 / 313卷
关键词：
Boltzmann equation; P-N approximation; Finite volume method; Discrete duality; FINITE-VOLUME METHOD; DIFFUSION OPERATORS; MAXWELLS EQUATIONS; SCHEMES; APPROXIMATION;
D O I：
10.1016/j.jcp.2016.02.058
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We propose and study a finite volume method of discrete duality type for discretizing the multigroup P-N approximation of radiative transfer equation on general meshes. This method is second order-accurate on a very large variety of meshes, stable under a Courant-Friedrichs-Lewy condition and it preserves naturally the diffusion asymptotic limit. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：549 / 582
页数：34
相关论文
共 53 条
  • [1] Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes
    Andreianov, Boris
    Boyer, Franck
    Hubert, Florence
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2007, 23 (01) : 145 - 195
  • [2] On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality
    Andreianov, Boris
    Bendahmane, Mostafa
    Hubert, Florence
    Krell, Stella
    [J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2012, 32 (04) : 1574 - 1603
  • [3] Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes
    Andreianov, Boris
    Hubert, Florence
    Krell, Stella
    [J]. FINITE VOLUMES FOR COMPLEX APPLICATIONS VI: PROBLEMS & PERSPECTIVES, VOLS 1 AND 2, 2011, 4 : 937 - +
  • [4] [Anonymous], 1973, The Equations of Radiation Hydrodynamics
  • [5] Arnold DN, 2006, COMPATIBLE SPATIAL D
  • [6] SECOND-ORDER MUSCL SCHEMES BASED ON DUAL MESH GRADIENT RECONSTRUCTION (DMGR)
    Berthon, Christophe
    Coudiere, Yves
    Desveaux, Vivien
    [J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2014, 48 (02): : 583 - 602
  • [7] Bonelle J., 2014, Ph.D. thesis
  • [8] INF-SUP STABILITY OF THE DISCRETE DUALITY FINITE VOLUME METHOD FOR THE 2D STOKES PROBLEM
    Boyer, Franck
    Krell, Stella
    Nabet, Flore
    [J]. MATHEMATICS OF COMPUTATION, 2015, 84 (296) : 2705 - 2742
  • [9] Two-dimensional time dependent Riemann solvers for neutron transport
    Brunner, TA
    Holloway, JP
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 210 (01) : 386 - 399
  • [10] Brunner TA., 2002, Sandia Report SAND2002-1778
123456