Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations. (22nd June 2016)

• Record Type: Journal Article
• Authors: Hüppe, Andreas; Cohen, Gary; Imperiale, Sébastien; Kaltenbacher, Manfred
• Is Part Of: Communications in computational physics. Volume 20:Number 1(2016:Jul.)
• Page Start: 1
• Page End: 22
• Publication Date: 2016-06-22
• Subjects: 76M10, -- 65M60, -- 76G25; Spectral finite elements, -- aeroacoustics, -- perturbation equations; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.250515.161115a
• Languages: English
• ISSNs: 1815-2406

Abstract

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.