EXPLICIT REPRESENTATION FOR THE INFINITE-DEPTH TWO-DIMENSIONAL FREE-SURFACE GREEN'S FUNCTION IN LINEAR WATER-WAVE THEORY

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dc.contributor.authorHein, Ricardo
dc.contributor.authorDuran, Mario
dc.contributor.authorNedelec, Jean Claude
dc.date.accessioned2024-01-10T13:12:58Z
dc.date.available2024-01-10T13:12:58Z
dc.date.issued2010
dc.description.abstractIn this paper we derive an explicit representation for the two-dimensional free-surface Green's function in water of infinite depth, based on a finite combination of complex-valued exponential integrals and elementary functions. This representation can easily and accurately be evaluated in a numerical manner, and its main advantage over other representations lies in its simplicity and in the fact that it can be extended towards the complementary half-plane in a straightforward manner. It seems that this extension has not been studied rigorously until now, and it is required when boundary integral equations are extended in the same way. For the computation of the Green's function, the limiting absorption principle and a partial Fourier transform along the free surface are used. Some of its properties are also discussed, and an expression for its far field is developed, which allows us to state appropriately the involved radiation condition. This Green's function is then used to solve the two-dimensional infinite-depth water-wave problem by developing a corresponding boundary integral equation, whose solution is determined by means of the boundary element method. To validate the computations, a benchmark problem based on a half-circle is presented and solved numerically.
dc.description.funderCONICYT/PBCT Proyecto Anillo de Investigacion en Ciencia y Tecnologia ADI (Chile)
dc.description.funderConicyt
dc.description.funderDIPEI, Pontificia Universidad Catolica de Chile
dc.fechaingreso.objetodigital2024-05-14
dc.format.extent20 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1137/090764591
dc.identifier.issn0036-1399
dc.identifier.urihttps://doi.org/10.1137/090764591
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78251
dc.identifier.wosidWOS:000281108800012
dc.information.autorucIngeniería;Durán M;S/I;100275
dc.information.autorucIngeniería;Hein R;S/I;2532
dc.issue.numero7
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final2372
dc.pagina.inicio2353
dc.publisherSIAM PUBLICATIONS
dc.revistaSIAM JOURNAL ON APPLIED MATHEMATICS
dc.rightsacceso restringido
dc.subjectGreen's function
dc.subjectLaplace equation
dc.subjecthalf-plane
dc.subjectfree-surface condition
dc.subjectlinear water waves
dc.subjectwater-wave problem
dc.subjectboundary integral equation
dc.subjectboundary element method
dc.subjectEXPONENTIAL INTEGRALS
dc.subjectNUMERICAL-METHODS
dc.subjectCOMPLEX ARGUMENT
dc.subjectHALF-PLANE
dc.subjectBODIES
dc.subjectOSCILLATIONS
dc.subjectBOUNDARY
dc.subjectTENSION
dc.subject.ods07 Affordable and Clean Energy
dc.subject.odspa07 Energía asequible y no contaminante
dc.titleEXPLICIT REPRESENTATION FOR THE INFINITE-DEPTH TWO-DIMENSIONAL FREE-SURFACE GREEN'S FUNCTION IN LINEAR WATER-WAVE THEORY
dc.typeartículo
dc.volumen70
sipa.codpersvinculados100275
sipa.codpersvinculados2532
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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