The aero-acoustic Galbrun equation in the time domain with perfectly matched layer boundary conditions

Autor: Xue Feng, Ryan Baccouche, Mabrouk Ben Tahar
Rok vydání: 2016
Předmět:
Zdroj: The Journal of the Acoustical Society of America. 139:320-331
ISSN: 0001-4966
Popis: This paper presents a solution for aero-acoustic problems using the Galbrun equation in the time domain with a non-uniform steady mean flow in a two-dimensional coordinate system and the perfectly matched layer technique as the boundary conditions corresponding to an unbounded domain. This approach is based on an Eulerian-Lagrangian description corresponding to a wave equation written only in terms of the Lagrangian perturbation of the displacement. It is an alternative to the Linearized Euler Equations for solving aero-acoustic problems. The Galbrun equation is solved using a mixed pressure-displacement Finite Element Method. A complex Laplace transform scheme is used to study the time dependent variables. Several numerical examples are presented to validate and illustrate the efficiency of the proposed approach.
Databáze: OpenAIRE