Construction and analysis of an adapted spectral finite element method to convective acoustic equations

Andreas Hüppe, Gary Cohen, Sebastien Imperiale and 
Manfred Kaltenbacher
june, 2016
Publication type:
Paper in peer-reviewed journals
Journal:
Communications in Computational Physics
Publisher:
Global Science Press
Keywords :
Spectral Finite Elements; Aeroacoustics; Perturbation Equations;
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 convec-tive 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.
BibTeX:
@article{Hup-Coh-Imp-Kal-2016,
    author={Andreas Hüppe and Gary Cohen and Sebastien Imperiale and 
           Manfred Kaltenbacher },
    title={Construction and analysis of an adapted spectral finite 
           element method to convective acoustic equations },
    doi={10.4208/cicp.250515.161115a },
    journal={Communications in Computational Physics },
    year={2016 },
    month={6},
}