TY - JOUR T1 - Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations AU - Hüppe , Andreas AU - Cohen , Gary AU - Imperiale , Sébastien AU - Kaltenbacher , Manfred JO - Communications in Computational Physics VL - 1 SP - 1 EP - 22 PY - 2018 DA - 2018/04 SN - 20 DO - http://doi.org/10.4208/cicp.250515.161115a UR - https://global-sci.org/intro/article_detail/cicp/11143.html KW - AB -
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.