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An unstructured finite volume numerical scheme for extended 2D Boussinesq-type equations

Kazolea Maria, Delis Anargyros, Nikolos Ioannis, Synolakis Kostas

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/173A4876-3136-4A63-B9B2-CF5195D8FFBC-
Αναγνωριστικόhttp://www.sciencedirect.com/science/article/pii/S0378383912001032-
Αναγνωριστικόhttps://doi.org/10.1016/j.coastaleng.2012.05.008-
Γλώσσαen-
Μέγεθος25 pagesen
ΤίτλοςAn unstructured finite volume numerical scheme for extended 2D Boussinesq-type equationsen
ΔημιουργόςKazolea Mariaen
ΔημιουργόςDelis Anargyrosen
ΔημιουργόςΔελης Αναργυροςel
ΔημιουργόςNikolos Ioannisen
ΔημιουργόςΝικολος Ιωαννηςel
ΔημιουργόςSynolakis Kostasen
ΔημιουργόςΣυνολακης Κωσταςel
ΕκδότηςElsevieren
ΠερίληψηWe present a high-order well-balanced unstructured finite volume (FV) scheme on triangular meshes for modeling weakly nonlinear and weakly dispersive water waves over slowly varying bathymetries, as described by the 2D depth-integrated extended Boussinesq equations of Nwogu, rewritten here in conservation law form. The FV scheme numerically solves the conservative form of the equations following the median dual node-centered approach, for both the advective and dispersive part of the equations. For the advective fluxes, the scheme utilizes an approximate Riemann solver along with a well-balanced topography source term upwinding. Higher order accuracy in space and time is achieved through a MUSCL-type reconstruction technique and through a strong stability preserving explicit Runge–Kutta time stepping. Special attention is given to the accurate numerical treatment of moving wet/dry fronts and boundary conditions. The model is applied to several examples of non-breaking wave propagation over variable topographies and the computed solutions are compared to experimental data. The presented results indicate that the presented FV model is robust and capable of simulating wave transformations from relatively deep to shallow water, providing accurate predictions of the wave's propagation, shoaling and runup.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-26-
Ημερομηνία Δημοσίευσης2012-
Θεματική ΚατηγορίαBoussinesq-type equationsen
Θεματική ΚατηγορίαFinite volumesen
Θεματική ΚατηγορίαSolitary wavesen
Θεματική ΚατηγορίαRegular wavesen
Βιβλιογραφική ΑναφοράM. Kazolea, A. I. Delis, I. K. Nikolos and C. E. Synolakis, "An unstructured finite volume numerical scheme for extended 2D Boussinesq-type equations," Coastal Eng., vol. 69, pp. 42-66, Nov. 2012. doi:10.1016/j.coastaleng.2012.05.008en

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