Perfectly Matched Layer for Galbrun׳s aeroacoustic equation in a cylindrical coordinates system with an axial and a swirling steady mean flow

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• 作者：Ryan Baccouche ; Mabrouk Ben Tahar ; Solè ; ne Moreau
• 关键词：Galbrun ; Harmonic time-domain ; PML ; Cylindrical coordinates ; Axial mean flow ; Swirling mean flow
• 刊名：Journal of Sound and Vibration
• 出版年：2016
• 出版时间：15 September 2016
• 年：2016
• 卷：378
• 期：Complete
• 页码：124-143
• 全文大小：1890 K

文摘

A Perfectly Matched Layer (PML) for aeroacoustic problems using Galbrun׳s equation in the presence of an axial and a swirling steady mean flow is investigated in a cylindrical coordinates system. This equation is based on an Eulerian–Lagrangian description and leads to a wave equation written only in terms of the Lagrangian perturbation of the displacement. Galbrun׳s equation is solved by a mixed pressure–displacement Finite Element Method (FEM). To avoid instabilities in the presence of mean flow, a geometric transformation is presented. The validity and efficiency of the proposed PML formulation are established through comparisons with analytical, semi-analytical model based on Pridmore-Brown equation (extended to an axial and a swirling mean flow) and with multiple-scale models. The interest of the formulation is shown through an example of aeroacoustic radiation.