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Discontinuous Galerkin method for the computation of acoustic modes in lined flow ducts with rigid splices

Pascal, Lucas and Piot, Estelle and Casalis, Grégoire Discontinuous Galerkin method for the computation of acoustic modes in lined flow ducts with rigid splices. (2013) Journal of Sound and Vibration, 332 (13). 3270-3288. ISSN 0022-460X

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Official URL: http://dx.doi.org/10.1016/j.jsv.2013.01.021

Abstract

A discontinuous Galerkin method for the discretisation of the linearised Euler equations is derived for the computation of acoustic modes in an infinite duct of arbitrary geometric shape in presence of axial sheared flow. Validations are performed with analytical solutions in the case of a uniformly lined duct and comparisons are done with the literature in the case of a lined cylindrical duct with rigid splices. We take advantage of the discontinuous formulation to study the behaviour of the acoustic eigenfunctions in the vicinity of the liner-splice transition where singular behaviours of the acoustic perturbation are found.

Item Type:Article
HAL Id:hal-01453178
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
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Deposited On:02 Feb 2017 15:02

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