Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (7): 889-904.doi: https://doi.org/10.1007/s10483-009-0708-x

• Articles • 上一篇    下一篇

Gas-kinetic numerical schemes for one- and two-dimensional inner flows

李志辉1,2 毕林1 唐志共1   

  1. 1. Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center,Mianyang 621000, Sichuan Province, P. R. China;
    2. National Laboratory for Computational Fluid Dynamics, Beijing 100191, P. R. China
  • 收稿日期:2008-12-31 修回日期:2009-05-17 出版日期:2009-07-01 发布日期:2009-07-01

Gas-kinetic numerical schemes for one- and two-dimensional inner flows

 LI Zhi-Hui1,2, BI Lin1, TANG Zhi-Gong1   

  1. 1. Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center,Mianyang 621000, Sichuan Province, P. R. China;
    2. National Laboratory for Computational Fluid Dynamics, Beijing 100191, P. R. China
  • Received:2008-12-31 Revised:2009-05-17 Online:2009-07-01 Published:2009-07-01

PDF

1068

摘要： Several kinds of explicit and implicit finite-difference schemes directly solving the discretized velocity distribution functions are designed with precision of different orders by analyzing the inner characteristics of the gas-kinetic numerical algorithm for Boltzmann model equation. The peculiar flow phenomena and mechanism from various flow regimes are revealed in the numerical simulations of the unsteady Sod shock-tube problems and the two-dimensional channel flows with different Knudsen numbers. The numerical remainder-effects of the difference schemes are investigated and analyzed based on the computed results. The ways of improving the computational efficiency of the gaskinetic numerical method and the computing principles of difference discretization are discussed.

关键词: Boltzmann model equation, gas-kinetic numerical schemes, discrete velocity ordinate method, shock-tube problems, channel flows

Abstract: Several kinds of explicit and implicit finite-difference schemes directly solving the discretized velocity distribution functions are designed with precision of different orders by analyzing the inner characteristics of the gas-kinetic numerical algorithm for Boltzmann model equation. The peculiar flow phenomena and mechanism from various flow regimes are revealed in the numerical simulations of the unsteady Sod shock-tube problems and the two-dimensional channel flows with different Knudsen numbers. The numerical remainder-effects of the difference schemes are investigated and analyzed based on the computed results. The ways of improving the computational efficiency of the gaskinetic numerical method and the computing principles of difference discretization are discussed.

Key words: Boltzmann model equation, gas-kinetic numerical schemes, discrete velocity ordinate method, shock-tube problems, channel flows

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn