Godunov-type wave diffraction computations via Roe's approximate Riemann solver

Skoula, ZD; Moutzouris, CI

dc.contributor.author	Skoula, ZD	en
dc.contributor.author	Moutzouris, CI	en
dc.date.accessioned	2014-03-01T01:54:26Z
dc.date.available	2014-03-01T01:54:26Z
dc.date.issued	2005	en
dc.identifier.issn	1061026X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/27384
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-23744515188&partnerID=40&md5=02b9313b0c767ff1cb6920d323c5ef43	en
dc.subject.other	Climate change	en
dc.subject.other	Coastal zones	en
dc.subject.other	Computational methods	en
dc.subject.other	Diffraction	en
dc.subject.other	Flow of fluids	en
dc.subject.other	Mathematical models	en
dc.subject.other	Polynomial approximation	en
dc.subject.other	Problem solving	en
dc.subject.other	Godunov-type wave diffraction	en
dc.subject.other	Hyperbolic Mild-Slope equation	en
dc.subject.other	Roe approximate Riemann solver	en
dc.subject.other	Wave fluxes	en
dc.subject.other	Water waves	en
dc.subject.other	wave-current interaction	en
dc.title	Godunov-type wave diffraction computations via Roe's approximate Riemann solver	en
heal.type	journalArticle	en
heal.publicationDate	2005	en
heal.abstract	The present paper discusses the main features of an elaborate upwind finite volume Godunov-type model of the hyperbolic Mild-Slope Equation that is capable of accommodating the presence of currents in the wave field. Wave transformation in the interface of unstructured triangular cells is computed using Roe's approximate Riemann solver whose efficiency had mostly hitherto been tested in modelling severe discontinuous flows. The spatial accuracy of wave fluxes is of second order, a quality achieved through the enhancement of the polynomial approximation of the conserved variables slope within each cell. Time integration is materialised implicitly while the scheme is characterised of trapezoidal second order accuracy in time marching. Results presented herein demonstrate that the solution technique employed is capable of depicting smoothly and accurately the wave climate in the vicinity of coastal structures. © 2005 Old City Publishing, Inc.	en
heal.journalName	Journal of Marine Environmental Engineering	en
dc.identifier.volume	7	en
dc.identifier.issue	4	en
dc.identifier.spage	261	en
dc.identifier.epage	268	en