计算全马赫数下粘性流动的隐式算法  

Implicit algorithms for viscous flow simulation at arbitrary Mach number

作　　者：史万里[1] 葛宁[1] SHENG Chun-hua 

机构地区：[1]南京航空航天大学能源与动力学院,南京210016 [2]Computational Simulation and Design Center Mississippi State University, MS39762

出　　处：《空气动力学学报》2009年第5期566-571,共6页Acta Aerodynamica Sinica

摘　　要：把预处理方法引入到求解三维粘性流动的Navier-Stokes方程隐式格式算法中,并应用这种方法对平板算例在层流和湍流两种不同流态下及四个不同Ma数下进行了数值模拟,计算结果与理论值及相关公式吻合,同时对比分析了有无预处理情况下的收敛性,证明了本文所采用的预处理隐式算法对于任意马赫数都是适合的,而且可以提高残差精度量级,加快收敛。Two implicit numerical algorithms using a global preconditioning technique are presented for solving 3-D Navier-Stokes viscous flows. Computations were performed for both laminar and turbulent flows over a flat plate under different Mach numbers. The computed results show good agreement with the Balsius profile for the laminar flow and the Spalding of profile for the turbulent flow. The implicit numerical algorithms presented in this work are efficient, robust, and accurate for a wide range of Mach numbers. It also shows that the current preconditioning technique has a large effect on the convergence and accuracy at a very small Mach number.

关 键 词：预处理 隐式迭代算法 三维N-S方程 Blasius速度剖面 

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]