Gas-kinetic numerical schemes for one- and two-dimensional inner 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. 作者： Author： Zhi-hui LI[1]  Lin BI[2]  Zhi-gong TANG[2] 作者單位： 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： 應(yīng)用數(shù)學(xué)和力學(xué)（英文版）   EISCI Journal： APPLIED MATHEMATICS AND MECHANICS 年，卷(期)： 2009, 30(7) 分類號(hào)： V211.3 O241.82 O356 Keywords： Boltzmann model equation    gas-kinetic numerical schemes    discrete velocity ordinate method    shock-tube problems    channel flows    機(jī)標(biāo)分類號(hào)： O24 O17 機(jī)標(biāo)關(guān)鍵詞： 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 基金項(xiàng)目： 國(guó)家自然科學(xué)基金，the Research Fund for Next Generation of General Armament Department Gas-kinetic numerical schemes for one- and two-dimensional inner flows[期刊論文]  應(yīng)用數(shù)學(xué)和力學(xué)（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 ...

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