用解NS方程和FW-H积分的混合方法计算圆柱绕流噪声  

Numerical simulation of noise induced by flow around cylinder using the hybrid method with the solutions of NS equation and FW-H integration

作　　者：唐科范[1] Franke J. 

机构地区：[1]上海交通大学工程力学系,上海200240 [2]University of Siegen,Germany,D57072

出　　处：《水动力学研究与进展（A辑）》2009年第2期190-199,共10页Chinese Journal of Hydrodynamics

基　　金：上海市重点学科建设项目资助,项目编号:B206

摘　　要：该文所研究的混合方法通过两个步骤模拟流动的声学远场。第一步,在包含所有声源的近场区域内,通过求解NS方程(对于湍流通过大涡模拟)获得非定常流场参数。第二步,通过带可穿透控制面的FW-H积分方法从流体动力近场获得声学远场。FW-H方程的三种积分形式,即三维的Farassat公式、二维的Guo公式和Locard公式被应用,并相互比较。研究了积分控制面位置和展向复制长度对声学模拟结果的影响。把数值模拟的ReD=150时圆柱层流绕流的声学远场和DNS结果进行了比较;把数值模拟的ReD=3900时圆柱湍流绕流的声学远场和实验结果进行了比较。两项比较都能相符合。通过比较FW-H方程三维积分形式和二维积分形式的结果,表明二维积分形式的结果可用作进一步三维精算前的简便估算。The hybrid approach investigated in this work simulates the acoustic far-field of flow using a two step procedure.In the first step, the unsteady flow field is computed in a near-field domain comprising all acoustic sources via a NS solver （a LES solver as to the turbulent case）. In the second step, the FW-H integration approach with a permeable control surface is used to extend the dynamic near-field to the acoustic far-field. Three integral formulations of the FW-H equation, namely the 3D Farassat, 2D Guo and 2D Locard Formixlations, are implemented. The results from these formulations are compared with each other. The computational parameters such as the position of the control surface and the copy length in the span direction ate investigated to obtain an optimization concept of the numerical calculation. The simulated acoustic far-field generated by an unsteady flow around a circular cylinder at Reo = 150 is compared with the DNS results, and that at Reo = 3900 is compared with the experimental results. Both the comparisons give a good agreement. Through the comparisons among the results of the 3D and 2D formulations of the FW-H approach, the 2D approaches are suggested to be an efficient way to guide and augment full 3D calculations.

关 键 词：流动噪声 混合方法 大涡模拟 FW-H积分 圆柱绕流 

分 类 号：O241.4[理学—计算数学] TV131.2[理学—数学]