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A strategy to implement volume sources into Galbrun equation
Author(s) -
Retka Stefanie
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610300
Subject(s) - computation , helmholtz equation , euler equations , computational fluid dynamics , displacement (psychology) , flow (mathematics) , physics , eulerian path , mathematical analysis , mathematics , classical mechanics , mechanics , lagrangian , algorithm , boundary value problem , psychology , psychotherapist
When considering noise propagation in flow in frequency domain computations, the standard Helmholtz equation is not sufficient to describe these effects. Therefore, using the linearized Euler equations (LEE) is common practice to describe sound propagation based on displacement perturbation. Galbrun reformulated the LEE in terms of an arbitrary Eulerian‐Lagrangian description, which resulted in the displacement based Galbrun equation. This equation can also be formulated in terms of pressure and displacements. We want to include sources (monopoles, dipoles and quadrupoles) in the harmonic analysis of Galbrun equation when a volume flow is present. In a first step we will solve Galbrun equation considering a volume flow. The velocity field is obtained in a CFD computation. Afterwards, the sources will be included in the acoustic computations as well. Preliminary computational results are discussed and implications for future directions of research are addressed. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)