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

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

时间:2012-07-25 航空航天论文
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. 作者: Author: Zhi-hui LI[1]  Lin BI[2]  Zhi-gong TANG[2] 作者单位: Hypervelocity Aerodynamics Institute,China Aerodynamics Research and Development Center,Mianyang 621000,Sichuan Province,P.R.China;National Laboratory for Computational Fluid Dynamics,Beijing 100191,P.R.China;Hypervelocity Aerodynamics Institute,China Aerodynamics Research and Development Center,Mianyang 621000,Sichuan Province,P.R.China 期 刊: 应用数学和力学(英文版)   EISCI Journal: APPLIED MATHEMATICS AND MECHANICS 年,卷(期): 2009, 30(7) 分类号: V211.3 O241.82 O356 Keywords: Boltzmann model equation    gas-kinetic numerical schemes    discrete velocity ordinate method    shock-tube problems    channel flows    机标分类号: O24 O17 机标关键词: difference schemes    computational efficiency    distribution functions    numerical simulations    numerical algorithm    different    numerical method    flow phenomena    principles of    channel flows    Boltzmann    analyzing    velocity    problems    model    based    Sod 基金项目: 国家自然科学基金,the Research Fund for Next Generation of General Armament Department Gas-kinetic numerical schemes for one- and two-dimensional inner flows[期刊论文]  应用数学和力学(英文版) --2009, 30(7)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 ...