Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations
Year: 2016
Author: Andreas Hüppe, Gary Cohen, Sébastien Imperiale, Manfred Kaltenbacher
Communications in Computational Physics, Vol. 20 (2016), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.250515.161115a
Communications in Computational Physics, Vol. 20 (2016), Iss. 1 : pp. 1–22
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22