Ito Kazufumi, Li Zhilin, Qiao Zhonghua
Center for Research in Scientific Computation & Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA.
Center for Research in Scientific Computation & Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA ; School of Mathematical Sciences, Nanjing Normal University, No. 1 Wenyuan Road, Yadong New District, Nanjing 210046, China.
Adv Appl Math Mech. 2012 Feb 1;4(1):21-35. doi: 10.4208/aamm.11-m1110.
In this paper, numerical sensitivity analysis with respect to the Reynolds number for the flow past obstacle problem is presented. To carry out such analysis, at each time step, we need to solve the incompressible Navier-Stokes equations on irregular domains twice, one for the primary variables; the other is for the sensitivity variables with homogeneous boundary conditions. The Navier-Stokes solver is the augmented immersed interface method for Navier-Stokes equations on irregular domains. One of the most important contribution of this paper is that our analysis can predict the critical Reynolds number at which the vortex shading begins to develop in the wake of the obstacle. Some interesting experiments are shown to illustrate how the critical Reynolds number varies with different geometric settings.
本文针对绕障碍物流动问题，给出了关于雷诺数的数值敏感性分析。为进行此类分析，在每个时间步，我们需要在不规则区域上两次求解不可压缩纳维 - 斯托克斯方程，一次针对主变量；另一次针对具有齐次边界条件的敏感性变量。纳维 - 斯托克斯求解器是用于不规则区域上纳维 - 斯托克斯方程的增强浸入界面法。本文最重要的贡献之一是我们的分析能够预测在障碍物尾流中涡旋脱落开始出现时的临界雷诺数。展示了一些有趣的实验来说明临界雷诺数如何随不同几何设置而变化。
