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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

DOI: 10.4208/cicp.250515.161115a

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 = {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} }
TY - JOUR T1 - Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations AU - Hüppe , Andreas AU - Cohen , Gary AU - Imperiale , Sébastien AU - Kaltenbacher , Manfred 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.

Hüppe , AndreasCohen , GaryImperiale , Sébastien and Kaltenbacher , Manfred. (2018). 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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