Application of a Direct Method for Solving the Boltzmann Equation in Supersonic Flow Computation

被引：0
|
作者：
Aristov, V. V. [1 ]
Rovenskaya, O. I. [1 ]
机构：
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 11期
基金：
俄罗斯科学基金会;
关键词：
Boltzmann kinetic equation; supersonic compressible flow; explicit-implicit difference scheme; flow instability; algorithm parallelization;
D O I：
10.1134/S0965542516110038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Boltzmann kinetic equation is used to numerically study the evolution of separated flows over a backward-facing step at low Knudsen numbers. The Boltzmann equation is solved by applying an explicit-implicit scheme. To improve the efficiency of the solution algorithm, it is parallelized with the help of MPI. The solution obtained with the kinetic equation is compared with those based on continuous medium equations. It is shown that the kinetic approach makes it possible to reproduce the distributions of surface pressure, friction coefficient, and heat transfer, as well as to obtain a flow structure close to experimental data.
引用
收藏
页码：1938 / 1947
页数：10
相关论文
共 50 条
  • [1] Application of a direct method for solving the Boltzmann equation in supersonic flow computation
    V. V. Aristov
    O. I. Rovenskaya
    Computational Mathematics and Mathematical Physics, 2016, 56 : 1938 - 1947
  • [2] APPLICATION OF DIRECT METHOD OF VARIATIONAL CALCULUS TO BOLTZMANN EQUATION
    MULLER, KH
    TRANSACTIONS OF THE AMERICAN NUCLEAR SOCIETY, 1964, 7 (01): : 9 - &
  • [3] A steady state, supersonic flow solution of the Boltzmann equation
    Aristov, VV
    PHYSICS LETTERS A, 1998, 250 (4-6) : 354 - 359
  • [4] An improved calculation scheme of electron flow in a propagator method for solving the Boltzmann equation
    Kobayashi, Tsukasa
    Sugawara, Hirotake
    Ikeda, Kei
    JAPANESE JOURNAL OF APPLIED PHYSICS, 2023, 62 (SL)
  • [5] Solving the boltzmann equation deterministically by the fast spectral method: Application to gas microflows
    Wu, Lei
    Reese, Jason M.
    Zhang, Yonghao
    Journal of Fluid Mechanics, 2014, 746 : 53 - 84
  • [6] Solving the Boltzmann equation deterministically by the fast spectral method: Application to gas microflows
    Wu, Lei
    Reese, Jason M.
    Zhang, Yonghao
    Journal of Fluid Mechanics, 2014, 746 : 53 - 84
  • [7] Lattice Boltzmann method for solving the bioheat equation
    Zhang, Haifeng
    PHYSICS IN MEDICINE AND BIOLOGY, 2008, 53 (03): : N15 - N23
  • [8] Solving the Boltzmann equation deterministically by the fast spectral method: application to gas microflows
    Wu, Lei
    Reese, Jason M.
    Zhang, Yonghao
    JOURNAL OF FLUID MECHANICS, 2014, 746 : 53 - 84
  • [9] ON A STOCHASTIC METHOD OF SOLVING THE BOLTZMANN-EQUATION
    LUKSHIN, AV
    SMIRNOV, SN
    USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1988, 28 (01): : 192 - 195
  • [10] SPEEDUP OF THE DIRECT SIMULATION METHODS FOR SOLVING THE BOLTZMANN-EQUATION
    NANBU, K
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1984, 53 (09) : 2996 - 2999
12345