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000078068 0247_ $$2doi$$a10.1016/j.cma.2017.08.050
000078068 0248_ $$2sideral$$a101555
000078068 037__ $$aART-2018-101555
000078068 041__ $$aeng
000078068 100__ $$0(orcid)0000-0002-3635-6223$$aFernández-Pato, J.
000078068 245__ $$aImplicit finite volume simulation of 2D shallow water flows in flexible meshes
000078068 260__ $$c2018
000078068 5060_ $$aAccess copy available to the general public$$fUnrestricted
000078068 5203_ $$aIn this work, an implicit method for solving 2D hyperbolic systems of equations is presented, focusing on the application to the 2D shallow water equations. It is based on the first order Roe''s scheme, in the framework of finite volume methods. A conservative linearization is done for the flux terms, leading to a non-structured matrix for unstructured meshes thus requiring iterative methods for solving the system. The validation is done by comparing numerical and exact solutions in both unsteady and steady cases. In order to test the applicability of the implicit scheme to real world situations, a laboratory scale tsunami simulation is carried out and compared to the experimental data. The implicit schemes have the advantage of the unconditional stability, but a quality loss in the transient solution can appear for high CFL numbers. The properties of the scheme are well suited for the simulation of unsteady shallow water flows over irregular topography using all kind of meshes.
000078068 536__ $$9info:eu-repo/grantAgreement/ES/DGA/FSE$$9info:eu-repo/grantAgreement/ES/MINECO/CGL2015-66114-R$$9info:eu-repo/grantAgreement/ES/MINECO/DI-14-06987
000078068 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000078068 590__ $$a4.821$$b2018
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000078068 591__ $$aMATHEMATICS, INTERDISCIPLINARY APPLICATIONS$$b2 / 105 = 0.019$$c2018$$dQ1$$eT1
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000078068 592__ $$a2.996$$b2018
000078068 593__ $$aComputational Mechanics$$c2018$$dQ1
000078068 593__ $$aComputer Science Applications$$c2018$$dQ1
000078068 593__ $$aPhysics and Astronomy (miscellaneous)$$c2018$$dQ1
000078068 593__ $$aMechanics of Materials$$c2018$$dQ1
000078068 593__ $$aMechanical Engineering$$c2018$$dQ1
000078068 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000078068 700__ $$0(orcid)0000-0001-6961-7250$$aMorales-Hernández, M.$$uUniversidad de Zaragoza
000078068 700__ $$0(orcid)0000-0001-8674-1042$$aGarcía-Navarro, P.$$uUniversidad de Zaragoza
000078068 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000078068 773__ $$g328 (2018), 1-25$$pComput. methods appl. mech. eng.$$tComputer Methods in Applied Mechanics and Engineering$$x0045-7825
000078068 8564_ $$s1160075$$uhttps://zaguan.unizar.es/record/78068/files/texto_completo.pdf$$yPostprint
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000078068 951__ $$a2021-02-08-17:42:03
000078068 980__ $$aARTICLE