跨流域三维复杂绕流问题的气体运动论并行计算  

Gas-kinetic parallel computation for three-dimensional complex problems covering various flow regimes

作　　者：李志辉[1] 张涵信[2] 

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

出　　处：《空气动力学学报》2010年第1期7-16,共10页Acta Aerodynamica Sinica

基　　金：国家自然科学基金面上项目(2003.01~2008.12)资助(90205009)

摘　　要：通过研究求解描述跨流域三维绕流问题的Boltzmann模型方程气体运动论耦合迭代数值格式,分析气体运动论数值计算方法的内在并行性;从变量依赖关系、数据通信与并行可扩展性三方面开展基于离散速度空间区域分解计算的研究,发展求解稀薄流到连续流跨流域三维复杂绕流问题的并行算法。通过对不同Knudsen数、不同马赫数、不同攻角三维球体及返回舱绕流的并行计算,计算结果与实验数据和理论分析吻合较好。研究表明,该并行算法负载平衡和并行可扩展性较好,对不同并行计算机系统具有很好适应性,显示直接求解分子速度分布函数的气体运动论计算方法有良好的并行计算特性。The gas-kinetic numerical schemes directly to solve the Boltzmann model equation are developed for the three-dimensional problems covering various flow regimes,and the intrinsic parallelization and the computing rule of the gas-kinetic numerical algorithm are analyzed.The computing technique of parallel domain decomposition in the discrete velocity space is presented by the study on variable dependency relations,data communication and parallel expansibility of the gas-kinetic numerical method.The gas-kinetic parallel algorithm is developed to solve three-dimensional complex problems covering various flow regimes.Three-dimensional complex flows past sphere and spacecraft from rarefied transition to continuum flow regime with various Knudsen numbers,Mach numbers,and flying angles are computed at a high performance computer system with massive scale parallelization.The computational results are found in high resolution of the flow fields and good agreement with the related experimental and theoretical ones.It is shown that the present parallel algorithm possesses good load balance and parallel expansibility with strong adaptability to the super computer system with large scale.It is indicated that the gas-kinetic numerical method possesses unique superiority of parallel computation,in which the molecular velocity distribution function is directly solved.

关 键 词：航天器绕流 气体分子运动论 BOLTZMANN模型方程 离散速度坐标法 有限差分法 并行计算 

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]