Fast deterministic method of solving the Boltzmann equation for hard spheres

被引:65
作者
Bobylev, AV
Rjasanow, S
机构
[1] Univ Saarland, Fachbereich Math 9, D-66041 Saarbrucken, Germany
[2] MV Keldysh Appl Math Inst, Moscow 125047, Russia
关键词
Direct Simulation Monte Carlo; hard spheres model; deterministic;
D O I
10.1016/S0997-7546(99)00121-1
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A special form of the Boltzmann collision operator for the hard spheres model is introduced. The possibilities of fast numerical computation of the collision operator based on this form and the Fast Fourier Transform are discussed. A new difference scheme for the Boltzmann equation for the hard spheres model is developed. The results of some numerical tests and accuracy comparisons with the Direct Simulation Monte Carlo (DSMC) method are presented. (C) 1999 Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:869 / 887
页数:19
相关论文
共 11 条
  • [1] Bird G. A., 1994, MOL GAS DYNAMICS DIR
  • [2] Bobylev A, 1997, EUR J MECH B-FLUID, V16, P293
  • [3] BOBYLEV A, 1997, DOKL AKAD NAUK SSSR, V233, P519
  • [4] Bobylev A.V., 1976, SOV PHYS DOKL, V20, P740
  • [5] BOBYLEV AV, 1975, DOKL AKAD NAUK SSSR+, V225, P1041
  • [6] Carleman T., 1957, Problemes mathematiques dans la theorie cinetiquedes gaz
  • [7] Cercignani C, 1994, MATH THEORY DILUTE G
  • [8] AN ALGORITHM FOR MACHINE CALCULATION OF COMPLEX FOURIER SERIES
    COOLEY, JW
    TUKEY, JW
    [J]. MATHEMATICS OF COMPUTATION, 1965, 19 (90) : 297 - &
  • [9] Loan C. V., 1992, Frontiers in Applied Mathematics
  • [10] NEUNZERT H, 1991, MATH APPL, V56, P111