Volume 20, Issue 1
Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations

Andreas Hüppe, Gary Cohen, Sébastien Imperiale & Manfred Kaltenbacher

Commun. Comput. Phys., 20 (2016), pp. 1-22.

Published online: 2018-04

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  • 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.

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@Article{CiCP-20-1, author = {Andreas Hüppe , and Gary Cohen , and Sébastien Imperiale , and Manfred Kaltenbacher , }, 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} }
TY - JOUR T1 - Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations AU - Andreas Hüppe , AU - Gary Cohen , AU - Sébastien Imperiale , AU - Manfred Kaltenbacher , JO - Communications in Computational Physics VL - 1 SP - 1 EP - 22 PY - 2018 DA - 2018/04 SN - 20 DO - http://doi.org/10.4208/cicp.250515.161115a UR - https://global-sci.org/intro/article_detail/cicp/11143.html KW - AB -

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.

Andreas Hüppe, Gary Cohen, Sébastien Imperiale & Manfred Kaltenbacher. (2020). Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations. Communications in Computational Physics. 20 (1). 1-22. doi:10.4208/cicp.250515.161115a
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