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

Andreas Hüppe, Gary Cohen, Sébastien Imperiale, Manfred Kaltenbacher
<span title="2016-06-22">2016</span> <i title="Global Science Press"> <a target="_blank" rel="noopener" href="" style="color: black;">Communications in Computational Physics</a> </i> &nbsp;
AbstractThe 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
more &raquo; ... al 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.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.4208/cicp.250515.161115a</a> <a target="_blank" rel="external noopener" href="">fatcat:fqspvuzekjfdzeuandm3kvl4qq</a> </span>
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