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A localized differential quadrature model for moving boundary shallow water flows / Ali Mahdavi in Journal of hydraulic research, Vol. 50 N° 6 (Novembre/Décembre 2012) 

Public ISBD [article]  in Journal of hydraulic research > Vol. 50 N° 6 (Novembre/Décembre 2012) . - pp. 612-622 Titre : A localized differential quadrature model for moving boundary shallow water flows Type de document : texte imprimé Auteurs : Ali Mahdavi, Auteur ; M. Reza Hashemi, Auteur ; Nasser Talebbeydokhti, Auteur Année de publication : 2013 Article en page(s) : pp. 612-622 Note générale : Hydraulique Langues : Anglais (eng) Mots-clés : Lagrangian–Eulerian  mapping  Localized  DQM  Moving  shoreline  Time  integration  Wave  run-up Résumé : This work presents a novel numerical solution of nonlinear shallow water equations involving moving waterlines. A hybrid Lagrangian–Eulerian mapping technique was proposed to account for two simultaneous shorelines fluctuating over dry beds. In the numerical model developed in this study, the local differential quadrature method approximated the spatial derivatives and the real-time Adams–Moulton algorithm was implemented for time-marching. It was concluded that, despite using significantly small number of grid points, the model leads to accurate results compared with an existing finite volume model which demands comparatively finer meshes. Further, highly accurate predictions of the position and velocity of the moving shorelines were obtained which is considered as the key advantage of the Lagrangian shoreline tracking. ISSN : 0022-1686 En ligne : http://www.tandfonline.com/doi/full/10.1080/00221686.2012.721141 [article] A localized differential quadrature model for moving boundary shallow water flows [texte imprimé] / Ali Mahdavi, Auteur ; M. Reza Hashemi, Auteur ; Nasser Talebbeydokhti, Auteur . - 2013 . - pp. 612-622. Hydraulique Langues : Anglais (eng) in Journal of hydraulic research > Vol. 50 N° 6 (Novembre/Décembre 2012) . - pp. 612-622 Mots-clés : Lagrangian–Eulerian  mapping  Localized  DQM  Moving  shoreline  Time  integration  Wave  run-up Résumé : This work presents a novel numerical solution of nonlinear shallow water equations involving moving waterlines. A hybrid Lagrangian–Eulerian mapping technique was proposed to account for two simultaneous shorelines fluctuating over dry beds. In the numerical model developed in this study, the local differential quadrature method approximated the spatial derivatives and the real-time Adams–Moulton algorithm was implemented for time-marching. It was concluded that, despite using significantly small number of grid points, the model leads to accurate results compared with an existing finite volume model which demands comparatively finer meshes. Further, highly accurate predictions of the position and velocity of the moving shorelines were obtained which is considered as the key advantage of the Lagrangian shoreline tracking. ISSN : 0022-1686 En ligne : http://www.tandfonline.com/doi/full/10.1080/00221686.2012.721141