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dc.contributor.authorVanhille, Christian-
dc.contributor.authorCampos-Pozuelo, Cleofé-
dc.date.accessioned2010-03-01T09:48:20Z-
dc.date.available2010-03-01T09:48:20Z-
dc.date.issued2004-07-
dc.identifier.citationJournal Acoustical Society of America 116(1): 194-200 (2004)en_US
dc.identifier.issn0001-4966-
dc.identifier.urihttp://hdl.handle.net/10261/21739-
dc.description7 pages.-- PACS: 43.25Gfen_US
dc.description.abstractIn this paper the behavior of strongly nonlinear waves in two-dimensional resonators filled with thermoviscous fluid is studied. For this purpose a set of differential equations, written in Lagrangian coordinates, is proposed and a time-domain numerical scheme is developed for solving them. Full nonlinear equations are derived from the conservation laws and state equation by assuming an irrotational fluid. Auxiliary conditions are written by considering a rigid-walled cavity, excitation at some points of the boundary, and rest at the outset. Finite differences are applied in the space and time domains, and lead to an implicit scheme. The numerical model solves the problem in terms of displacement vector field. The pressure field is then obtained from the displacement values. The algorithm allows us to analyze the evolution of the behavior of complex standing waves. The nonlinear characteristics of standing waves, well known in one-dimensional chambers, are now apparent in two-dimensional resonators by means of this new computational model. Some numerical experiments are carried out, a validation of the model is achieved, and results are given at a complex mode for which plane wave approximation is not appropriate. Several aspects of the nonlinear pressure field inside two-dimensional resonators are presented, such as harmonic distortion and nonlinear attenuation effects. In particular the quasi-standing character of such waves is detected and described. The effect of redistribution of rms pressure inside a two-dimensional cavity is commented.en_US
dc.format.extent259768 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoengen_US
dc.publisherAcoustical Society of Americaen_US
dc.rightsclosedAccessen_US
dc.subjectConservation lawsen_US
dc.subjectViscosityen_US
dc.subjectDifferential equationsen_US
dc.subjectFinite difference time-domain analysisen_US
dc.subjectNonlinear acousticsen_US
dc.titleNumerical simulation of two-dimensional nonlinear standing acoustic wavesen_US
dc.typeartículoen_US
dc.identifier.doi10.1121/1.1760798-
dc.description.peerreviewedPeer revieweden_US
dc.relation.publisherversionhttp://dx.doi.org/10.1121/1.1760798en_US
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