Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations  

作　　者：Andreas Huppe Gary Cohen Sebastien Imperiale Manfred Kaltenbacher 

机构地区：[1]TU Wien,Institute of Mechanics and Mechatronics,Getreidemarkt 9/E325,1060Wien,Austria [2]Inria-CNRS-ENSTA,Saclay Ile-de-France,91120 Palaiseau,France [3]Inria,Saclay Ile-de-France,91120 Palaiseau,France

出　　处：《Communications in Computational Physics》2016年第6期1-22,共22页计算物理通讯（英文）

摘　　要：The paper addresses the construction of a non spuriousmixed spectral finiteelement(FE)method to problems in the field of computational aeroacoustics.Basedon a computational scheme for the conservation equations of linear acoustics,the extensiontowards convected wave propagation is investigated.In aeroacoustic applications,the mean flow effects can have a significant impact on the generated soundfield even for smaller Mach numbers.For those convective terms,the initial spectralFE discretization leads to non-physical,spurious solutions.Therefore,a regularizationprocedure is proposed and qualitatively investigated bymeans of discrete eigenvaluesanalysis of the discrete operator in space.A study of convergence and an applicationof the proposed scheme to simulate the flow induced sound generation in the processof human phonation underlines stability and validity.

关 键 词：Spectral finite elements aeroacoustics perturbation equations 

分 类 号：O17[理学—数学]