Hybrid finite-volume finite-difference scheme for the solution of Boussinesq equations

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dc.contributor.authorErduran K.S.
dc.contributor.authorIlic S.
dc.contributor.authorKutija V.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2005
dc.departmentNiğde ÖHÜ
dc.description.abstractA hybrid scheme composed of finite-volume and finite-difference methods is introduced for the solution of the Boussinesq equations. While the finite-volume method with a Riemann solver is applied to the conservative part of the equations, the higher-order Boussinesq terms are discretized using the finite-difference scheme. Fourth-order accuracy in space for the finite-volume solution is achieved using the MUSCL-TVD scheme. Within this, four limiters have been tested, of which van-Leer limiter is found to be the most suitable. The Adams-Basforth third-order predictor and Adams-Moulton fourth-order corrector methods are used to obtain fourth-order accuracy in time. A recently introduced surface gradient technique is employed for the treatment of the bottom slope. A new model 'HYWAVE', based on this hybrid solution, has been applied to a number of wave propagation examples, most of which are taken from previous studies. Examples include sinusoidal waves and bi-chromatic wave propagation in deep water, sinusoidal wave propagation in shallow water and sinusoidal wave propagation from deep to shallow water demonstrating the linear shoaling properties of the model. Finally, sinusoidal wave propagation over a bar is simulated. The results are in good agreement with the theoretical expectations and published experimental results. Copyright © 2005 John Wiley & Sons, Ltd.
dc.identifier.doi10.1002/fld.1021
dc.identifier.endpage1232
dc.identifier.issn0271-2091
dc.identifier.issue11
dc.identifier.scopus2-s2.0-28144441044
dc.identifier.scopusqualityQ1
dc.identifier.startpage1213
dc.identifier.urihttps://dx.doi.org/10.1002/fld.1021
dc.identifier.urihttps://hdl.handle.net/11480/1274
dc.identifier.volume49
dc.identifier.wosWOS:000233683300003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.relation.ispartofInternational Journal for Numerical Methods in Fluids
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBoussinesq model
dc.subjectDeep to shallow water wave propagation
dc.subjectDeep-water wave propagation
dc.subjectFinite-volume scheme
dc.subjectFourth-order accuracy
dc.subjectHybrid scheme
dc.titleHybrid finite-volume finite-difference scheme for the solution of Boussinesq equations
dc.typeArticle

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