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dc.date.accessioned2013-11-21T11:56:11Z
dc.date.available2013-11-21T11:56:11Z
dc.date.issued2008en_US
dc.date.submitted2011-05-24en_US
dc.identifier.urihttp://hdl.handle.net/10852/10184
dc.description.abstractThis report is the documentation of a new model for large scale solution of the Boussinesq equations. The equations are briefly presented with emphasis on the inclusion of spherical coordinates and the Coriolis force. We have chosen to start with the standard Boussinesq formulation, but have modified it to achieve improved dispersion properties for moderately short waves. This formulation is put into the context of Boussinesq equations in general in an appendix. Describing first the discretization in detail, we design higher order numerical differences, analyse dispersion, stability and the convergence rate of the iteration scheme used at each time step. The performance of the present model is also compared to state of the art models (FUNWAVE/COULWAVE). A selection of tests are performed to validate the code and assess the applicability and accuracy of the method. The tests include eigenoscillations in basins, solitary wave propagation, comparison with pre-existing models, diffraction of incident solitary waves by a vertical cylinder and trans-Atlantic propagation of a hypothetical tsunami from the La Palma island. The latter case is pursued further in a companion paper. All tests indicate that the model is correctly coded, efficient and robust.eng
dc.language.isoengen_US
dc.publisherMatematisk Institutt, Universitetet i Oslo
dc.relation.ispartofPreprint series. Mechanics and Applied Mathematics http://urn.nb.no/URN:NBN:no-23418en_US
dc.relation.urihttp://urn.nb.no/URN:NBN:no-23418
dc.rights© The Author(s) (2008). This material is protected by copyright law. Without explicit authorisation, reproduction is only allowed in so far as it is permitted by law or by agreement with a collecting society.
dc.titleDocumentation of a global Boussinesq solveren_US
dc.typeResearch reporten_US
dc.date.updated2013-11-15en_US
dc.rights.holderCopyright 2008 The Author(s)
dc.creator.authorPedersen, Geiren_US
dc.creator.authorLøvholt, Finnen_US
dc.subject.nsiVDP::410en_US
dc.identifier.urnURN:NBN:no-27775en_US
dc.type.documentForskningsrapporten_US
dc.identifier.duo124495en_US
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/10184/1/mech-01-08.pdf


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