A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part II: Boundary conditions and validation

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dc.contributor.authorCienfuegos, R.
dc.contributor.authorBarthelemy, E.
dc.contributor.authorBonneton, P.
dc.date.accessioned2024-01-10T12:04:08Z
dc.date.available2024-01-10T12:04:08Z
dc.date.issued2007
dc.description.abstractThis paper supplements the validation of the fourth-order compact finite volume Boussinesq-type model presented by Cienfuegos et al. (Int. J. Numer. Meth. Fluids 2006, in press). We discuss several issues related to the application of the model for realistic wave propagation problems where boundary conditions and uneven bathymetries must be considered. We implement a moving shoreline boundary condition following the lines given by Lynett et al. (Coastal Eng. 2002; 46:89-107), while an absorbing-generating seaward boundary and an impermeable vertical wall boundary are approximated using a characteristic decomposition of the Serre equations. Using several benchmark tests, both numerical and experimental, we show that the new finite volume model is able to correctly describe nonlinear wave processes from shallow waters and up to wavelengths which correspond to the theoretical deep water limit. The results compare favourably with those reported using former fully nonlinear and weakly dispersive Boussinesq-type solvers even when time integration is conducted with Courant numbers greater than 1.0. Furthermore, excellent nonlinear performance is observed when numerical computations are compared with several experimental tests on solitary waves shoaling over planar beaches up to breaking. A preliminary test including the wave-breaking parameterization described by Cienfuegos (Fifth International Symposium on Ocean Wave Measurement Analysis, Madrid, Spain, 2005) shows that the Boussinesq model can be extended to deal with surf zone waves. Finally, practical aspects related to the application of a high-order implicit filter as given by Gaitonde et al. (Int. J. Numer Methods Engng 1999; 45:1849-1869) to damp out unphysical wavelengths, and the numerical robustness of the finite volume scheme are also discussed. Copyright (c) 2006 John Wiley & Sons, Ltd.
dc.fechaingreso.objetodigital04-04-2024
dc.format.extent33 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1002/fld.1359
dc.identifier.eissn1097-0363
dc.identifier.issn0271-2091
dc.identifier.urihttps://doi.org/10.1002/fld.1359
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75697
dc.identifier.wosidWOS:000245305800001
dc.information.autorucIngeniería;Cienfuegos R;S/I;8598
dc.issue.numero9
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final1455
dc.pagina.inicio1423
dc.publisherWILEY
dc.revistaINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
dc.rightsacceso restringido
dc.subjectBoussinesq-type equations
dc.subjectSerre equations
dc.subjectfinite volume method
dc.subjectcompact schemes
dc.subjectboundary conditions
dc.subjectSHALLOW-WATER EQUATIONS
dc.subjectSOURCE TERMS
dc.subjectWAVE-PROPAGATION
dc.subjectDIFFERENCE SCHEMES
dc.subjectSOLITARY WAVES
dc.subjectSURFACE-WAVES
dc.subjectMODEL
dc.subjectRUNUP
dc.subjectTRANSFORMATION
dc.subjectDERIVATION
dc.subject.ods13 Climate Action
dc.subject.ods14 Life Below Water
dc.subject.odspa13 Acción por el clima
dc.subject.odspa14 Vida submarina
dc.titleA fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part II: Boundary conditions and validation
dc.typeartículo
dc.volumen53
sipa.codpersvinculados8598
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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