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dc.contributor.authorHospital Bravo, Raúl
dc.contributor.authorSarrate Ramos, Josep
dc.contributor.authorDíez, Pedro
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2016-05-11T17:52:15Z
dc.date.available2017-06-01T00:30:23Z
dc.date.issued2016-05
dc.identifier.citationHospital, R., Sarrate, J., Diez, P. Numerical modeling of undersea acoustics using a partition of unity method with plane waves enrichment. "Computational mechanics", Maig 2016, vol. 57, núm. 5, p. 717-732.
dc.identifier.issn0178-7675
dc.identifier.urihttp://hdl.handle.net/2117/86965
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/s00466-015-1257-8
dc.description.abstractA new 2D numerical model to predict the underwater acoustic propagation is obtained by exploring the potential of the Partition of Unity Method (PUM) enriched with plane waves. The aim of the work is to obtain sound pressure level distributions when multiple operational noise sources are present, in order to assess the acoustic impact over the marine fauna. The model takes advantage of the suitability of the PUM for solving the Helmholtz equation, especially for the practical case of large domains and medium frequencies. The seawater acoustic absorption and the acoustic reflectance of the sea surface and sea bottom are explicitly considered, and perfectly matched layers (PML) are placed at the lateral artificial boundaries to avoid spurious reflexions. The model includes semi-analytical integration rules which are adapted to highly oscillatory integrands with the aim of reducing the computational cost of the integration step. In addition, we develop a novel strategy to mitigate the ill-conditioning of the elemental and global system matrices. Specifically, we compute a low-rank approximation of the local space of solutions, which in turn reduces the number of degrees of freedom, the CPU time and the memory footprint. Numerical examples are presented to illustrate the capabilities of the model and to assess its accuracy.
dc.format.extent16 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subjectÀrees temàtiques de la UPC::Física::Acústica::Sons subaquàtics
dc.subject.lcshUnderwater acoustics--Mathematical models
dc.subject.otherComplex wavenumber
dc.subject.otherHelmholtz equation
dc.subject.otherLow-rank approximation
dc.subject.otherPartition of unity method
dc.subject.otherPlane waves
dc.subject.otherSingular value decomposition
dc.subject.otherUnderwater acoustic propagation
dc.titleNumerical modeling of undersea acoustics using a partition of unity method with plane waves enrichment
dc.typeArticle
dc.subject.lemacAcústica submarina -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1007/s00466-015-1257-8
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs00466-015-1257-8
dc.rights.accessOpen Access
local.identifier.drac17546975
dc.description.versionPostprint (author's final draft)
local.citation.authorHospital, R.; Sarrate, J.; Diez, P.
local.citation.publicationNameComputational mechanics
local.citation.volume57
local.citation.number5
local.citation.startingPage717
local.citation.endingPage732


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