线性化欧拉拟特征方程模拟圆柱绕流声场方法  

Simulation method for cylinder aerodynamic noise using pseudo-characteristic formulation of linearized Euler equation

作　　者：马瑞贤[1] 刘占生[1] 陈晖[2] 张广辉[1] 何鹏[1] MA Ruixian;LIU Zhansheng;CHEN Hui;ZHANG Guanghui;HE Peng(School of Energy Science and Engineering,Harbin Institute of Technology,Harbin 150001,China;Xi′an Aerospace Propulsion Institute,Xi′an 710100,China)

机构地区：[1]哈尔滨工业大学能源科学与工程学院,黑龙江哈尔滨150001 [2]西安航天动力研究所,陕西西安710100

出　　处：《哈尔滨工程大学学报》2019年第12期2022-2028,共7页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(11572098);国家建设高水平大学项目(201606120129);国家重大基础研究项目(613321)

摘　　要：为模拟圆柱气动噪声的辐射特性,本文利用大涡模拟方法计算了马赫数0.4时圆柱气动力脉动,建立了紧致点声源模型,采用高精度有限差分格式求解了均匀流声学线性欧拉方程(Linearized Euler Equation,LEE),数值模拟了考虑和不考虑对流效应时声波的传播,分析了声波的辐射和衰减特性。仿真结果与声压解析值和大涡模拟直接计算结果基本一致,证明了线性欧拉方程方法对模拟Ma=0.4时圆柱气动噪声的适用性和可靠性;对流效应对噪声传播的影响不可忽视,对上、下游声压有明显的放大、缩小作用,使声波传播方向偏转了约21°;声压与声源距离的1/2次方成反比,与理论一致,对流状态下要考虑多普勒因子修正。A large eddy simulation(LES)method was adopted to calculate the noise source,i.e.,the aerodynamically fluctuating force acting on the cylinder at Mach number 0.4,to simulate the radiative property of the aerodynamic noise generated by a cylinder immersed in flow,and the compact point-based model of noise source was established.Then,a high-precision finite difference scheme was employed to solve the pseudo-characteristic formulation(PCF)of the linearized Euler equation(LEE)of sound propagation.The sound propagation was simulated with and without the convective effect considered,and acoustic radiation and decay properties were analyzed.The well agreement of sound pressure simulated by LEE,analytical solution,and direct calculation by LES demonstrates the capability of PCF to predict the cylinder aerodynamic noise at Ma=0.4 accurately.The acoustic propagation property is considerably affected by the convective effect that the sound pressure at upstream and downstream is evidently magnified and reduced,respectively,resulting in a 21°rotation of the propagation direction of sound wave.The sound pressure displays the-1/2 power law of the distance of sound source,which is consistent with the theory.However,the Doppler coefficient needs to be considered due to the convection.

关 键 词：圆柱气动噪声 线性欧拉方程 有限差分法 声辐射特性 大涡模拟 多普勒因子 

分 类 号：O353.1[理学—流体力学]