@Article{CiCP-20-1, author = {Hüppe , AndreasCohen , GaryImperiale , Sébastien and Kaltenbacher , Manfred}, title = {Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations}, journal = {Communications in Computational Physics}, year = {2018}, volume = {20}, number = {1}, pages = {1--22}, abstract = {

The paper addresses the construction of a non spurious mixed spectral finite element (FE) method to problems in the field of computational aeroacoustics. Based on a computational scheme for the conservation equations of linear acoustics, the extension towards convected wave propagation is investigated. In aeroacoustic applications, the mean flow effects can have a significant impact on the generated sound field even for smaller Mach numbers. For those convective terms, the initial spectral FE discretization leads to non-physical, spurious solutions. Therefore, a regularization procedure is proposed and qualitatively investigated by means of discrete eigenvalues analysis of the discrete operator in space. A study of convergence and an application of the proposed scheme to simulate the flow induced sound generation in the process of human phonation underlines stability and validity.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.250515.161115a}, url = {http://global-sci.org/intro/article_detail/cicp/11143.html} }