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

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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

Keywords:   

Author Details

Andreas Hüppe

Gary Cohen

Sébastien Imperiale

Manfred Kaltenbacher

  1. A LBIE-RBF solution to the convected wave equation for flow acoustics

    Dogan, Hakan | Eisenmenger, Chris | Ochmann, Martin | Frank, Stefan

    Engineering Analysis with Boundary Elements, Vol. 92 (2018), Iss. P.196

    https://doi.org/10.1016/j.enganabound.2017.11.016 [Citations: 2]
  2. Hybrid Galerkin numerical modelling of elastodynamics and compressible Navier–Stokes couplings: applications to seismo-gravito acoustic waves

    Brissaud, Quentin | Martin, Roland | Garcia, Raphaël F. | Komatitsch, Dimitri

    Geophysical Journal International, Vol. 210 (2017), Iss. 2 P.1047

    https://doi.org/10.1093/gji/ggx185 [Citations: 27]