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="https://fatcat.wiki/container/7rvdvsnf3va2dag2g7tytkmbv4" 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="https://doi.org/10.4208/cicp.250515.161115a">doi:10.4208/cicp.250515.161115a</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fqspvuzekjfdzeuandm3kvl4qq">fatcat:fqspvuzekjfdzeuandm3kvl4qq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170923210808/https://hal.inria.fr/hal-01363149/document" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/84/82/8482ccd70e92c4eddd04f11e21ba0e49c354ba54.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4208/cicp.250515.161115a"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>