基于高阶间断伽辽金法的多孔介质声传播  

Sound propagation in porous media based on high-order discontinuous Galerkin method

作　　者：麦梓伦 刘宇飞 黄健健 欧阳文轩 吕宏强[1] MAI Zilun;LIU Yufei;HUANG Jianjian;OUYANG Wenxuan;LYU Hongqiang(College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,Jiangsu,China)

机构地区：[1]南京航空航天大学航空学院,江苏南京210016

出　　处：《声学技术》2024年第6期751-760,共10页Technical Acoustics

摘　　要：多孔介质声学材料由于其结构及优秀的声学性能在航空、船舶与海洋工程等领域中应用广泛。传统的多孔介质声传播声学仿真方法主要从频域出发,对于宽频声源,其计算量相对较大,并且无法得到声传播的非定常物理过程。从时域路线出发的计算气动声学可以仿真出声传播的非定常过程,但目前在多孔介质的声传播问题上应用较少。时域计算声学要求数值格式具有高精度、低耗散特征。文章在非结构网格上采用高阶间断伽辽金方法求解与多孔介质声学Zwikker-Kosten模型结合的线化欧拉方程,得到在空气和多孔介质中的声传播过程。对多孔介质地面以及三角形多孔介质声屏障两种模型的声传播典型算例的数值模拟表明,该高阶计算方法适合复杂多孔介质环境的声传播数值仿真且具有显著的高精度特征,该方法在求解实际工程中复杂多孔介质环境下的声传播具有巨大潜力。Porous media acoustic materials are widely used in the fields of aerospace,marine and ocean engineering due to their structure and excellent acoustic properties.The traditional acoustic simulation approach for sound propagation in porous media mainly starts from the frequency domain,which needs large computational amount and cannot obtain the unsteady physical process of sound propagation.Computational aeroacoustics in time-domain can simulate unsteady processes of sound propagation,but it is less applied to sound propagation in porous media currently.Computational acoustics in the time domain requires a numerical format with high accuracy and low dissipation.In order to obtain the sound propagation process in air and porous media,in this paper,the high-order discontinuous Galerkin method is used to solve the linear Euler equation combined with the acoustic Zwikker-Kosten model on unstructured grids.Numerical simulation of sound propagation in the two models of porous medium ground and triangle-shaped porous medium acoustic barrier show that the high-order computation method proposed in this paper is suitable for the numerical simulation of sound propagation in complex porous media and has high accuracy.This method has great potential for solving the sound propagation in the environment of complex porous media in practical engineering.

关 键 词：声传播 多孔介质 高阶间断伽辽金方法 线化欧拉方程 Zwikker-Kosten方程 

分 类 号：O422[理学—声学]