基于气体运动论的差分算法对管道流动数值研究  

Study of Gas-Kinetic Numerical Schemes for One-and Two-Dimensional Inner Flows

作　　者：李志辉[1,2] 毕林[1] 唐志共[1] 

机构地区：[1]中国空气动力研究与发展中心超高速研究所,四川绵阳621000 [2]国家计算流体力学实验室,北京100191

出　　处：《应用数学和力学》2009年第7期833-846,共14页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10621062);总装备部预研基金资助项目(9140A13050207KG29)

摘　　要：从分析研究求解Boltzmann模型方程的气体运动论数值计算方法特点出发,设计了几种求解离散速度分布函数不同精度的差分显式与隐式气体运动论数值格式.通过对不同Knudsen数下一维非定常激波管内流动、二维槽道流问题计算研究与应用测试,分析了不同差分格式数值离散效应对计算结果的影响,研究讨论了提高气体运动论数值算法计算效率的途径和差分离散处理所适用的计算准则等问题.Several kinds of explicit and implicit finite-difference schemes directly solving the discretized velocity distribution fimctions were designed with different-order precision by analyzing the inner characteristic of the gas-kinetic numerical algorithm for Boltzmann model equation. The peculiar flow phenomena and mechanism from various flow regimes were revealed by the numerical simulation of the unsteady Sod shock-tube problems and the two-dimensional channel flows with different Knudsen numbers, and the numerical remainder-effects of the difference schemes were investigated and analyzed on computed results. The ways of improving the computational efficiency of the gaskinetic numerical method and the computing principles of difference discretization were discussed on the Boltzmann model equation.

关 键 词：Bohzmann模型方程 气体运动论数值计算 离散速度坐标法 激波管问题 槽道流问题 

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] O241.82[理学—计算数学]