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: |
Acoustics and Ultrasonics
Laplace transform Differential equation Coordinate system Mathematical analysis 010103 numerical & computational mathematics 01 natural sciences Finite element method Euler equations 010101 applied mathematics symbols.namesake Perfectly matched layer Arts and Humanities (miscellaneous) Calculus symbols Time domain Boundary value problem 0101 mathematics Mathematics |
| 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 |
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