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

作　　者：李志辉 毕林 唐志共 

机构地区：[1]Hypervelocity Aerodynamics Institute,China Aerodynamics Research and Development Center [2]National Laboratory for Computational Fluid Dynamics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第7期889-904,共16页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.10621062);the Research Fund for Next Generation of General Armament Department (No.9140A13050207KG29)

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 aad 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.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 aad 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 velocityordinate method shock-tube problems channel flows 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]