78068 20210208180158.0 doi 10.1016/j.cma.2017.08.050 sideral 101555 ART-2018-101555 eng (orcid)0000-0002-3635-6223 Fernández-Pato, J. Implicit finite volume simulation of 2D shallow water flows in flexible meshes 2018 Access copy available to the general public Unrestricted In 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. info:eu-repo/grantAgreement/ES/DGA/FSE info:eu-repo/grantAgreement/ES/MINECO/CGL2015-66114-R info:eu-repo/grantAgreement/ES/MINECO/DI-14-06987 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 4.821 2018 MECHANICS 6 / 134 = 0.045 2018 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 2 / 105 = 0.019 2018 Q1 T1 ENGINEERING, MULTIDISCIPLINARY 6 / 88 = 0.068 2018 Q1 T1 2.996 2018 Computational Mechanics 2018 Q1 Computer Science Applications 2018 Q1 Physics and Astronomy (miscellaneous) 2018 Q1 Mechanics of Materials 2018 Q1 Mechanical Engineering 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0001-6961-7250 Morales-Hernández, M. Universidad de Zaragoza (orcid)0000-0001-8674-1042 García-Navarro, P. Universidad de Zaragoza 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos 328 (2018), 1-25 Comput. methods appl. mech. eng. Computer Methods in Applied Mechanics and Engineering 0045-7825 1160075 http://zaguan.unizar.es/record/78068/files/texto_completo.pdf Postprint 37978 http://zaguan.unizar.es/record/78068/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:78068 articulos driver 2021-02-08-17:42:03 ARTICLE