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dc.contributor.authorChaabelasri, E
dc.contributor.authorJeyar, M
dc.contributor.authorBorthwick, Alistair
dc.date.accessioned2021-08-22T18:10:47Z
dc.date.available2021-08-22T18:10:47Z
dc.date.issued2019
dc.identifier.issn1877-0509
dc.identifier.issn1877-0509
dc.identifier.urihttp://hdl.handle.net/10026.1/17723
dc.description.abstract

A simple Explicit Radial Basis Function (RBF) is used to solve the shallow water equations (SWEs) for flows over irregular, frictional topography involving wetting and drying. At first we construct the MQ-RBF interpolation corresponding to space derivative operators. Next, we obtain numerical schemes to solve the SWEs, by using the gradient of the interpolant to approximate the spatial derivative of the differential equation and a third-order explicit Runge-Kutta scheme to approximate the temporal derivative of the differential equation. Then, we verify our scheme against several idealized one-dimensional numerical experiments including dam-break and open channel flows over non-uniform beds (involving shock wave behavior), and moving wet-dry fronts over irregular bed topography. Promising results are obtained.

dc.format.extent361-370
dc.language.isoen
dc.publisherElsevier BV
dc.subjectOrphan Drug
dc.subjectRare Diseases
dc.titleExplicit radial basis function collocation method for computing shallow water flows
dc.typeconference
dc.typeConference Proceeding
plymouth.volume148
plymouth.publication-statusPublished
plymouth.journalProcedia Computer Science
dc.identifier.doi10.1016/j.procs.2019.01.044
plymouth.organisational-group/Plymouth
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering
plymouth.organisational-group/Plymouth/Users by role
plymouth.organisational-group/Plymouth/Users by role/Academics
dc.identifier.eissn1877-0509
dc.rights.embargoperiodNot known
rioxxterms.versionofrecord10.1016/j.procs.2019.01.044
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeConference Paper/Proceeding/Abstract


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