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000075857 005__ 20210208180200.0
000075857 0247_ $$2doi$$a10.1051/e3sconf/20184005008
000075857 0248_ $$2sideral$$a108661
000075857 037__ $$aART-2018-108661
000075857 041__ $$aeng
000075857 100__ $$0(orcid)0000-0002-3635-6223$$aFernández-Pato, J.
000075857 245__ $$aImplicit 2D surface flow models performance assessment: Shallow Water Equations vs. Zero-Inertia Model
000075857 260__ $$c2018
000075857 5060_ $$aAccess copy available to the general public$$fUnrestricted
000075857 5203_ $$aZero-Inertia (ZI) models are used in overland flow simulation due to their mathematical simplicity, compared to more complex formulations such as Shallow Water (SW) models. The main hypothesis in ZI models is that the flow is driven by water surface and friction gradients, neglecting local accelerations. On the other hand, SW models are a complete dynamical formulation that provide more information at the cost of a higher level of complexity. In realistic problems, the usually huge number of cells required to ensure accurate spatial representation implies a large amount of computing effort and time. This is particularly true in 2D models. Hence, there is an interest in developing efficient numerical methods. In general terms, numerical schemes used to solve time dependent problems can be classified in two groups, attending to the time evaluation of the unknowns: explicit and implicit methods. Explicit schemes offer the possibility to update the solution at every cell from the known values but are restricted by numerical stability reasons. This can lead to very slow simulations in case of using fine meshes. Implicit schemes avoid this restriction at the cost of generating a system of as many equations as computational cells multiplied by the number of variables to solve. In this work, an implicit finite volume numerical scheme has been used to solve the 2D equations in both ZI and SW models. The scheme is formulated so that both quadrilateral and triangular meshes can be used. A conservative linearization is done for the flux terms, leading to a non-structured matrix for unstructured meshes thus requiring iterative methods for solving the system. A comparison between 2D SW and 2D ZI is done in terms of performance, efficiency and mesh requirements, in which both models benefit of an implicit temporal discretization in steady and nearly-steady situations.
000075857 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000075857 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000075857 700__ $$0(orcid)0000-0001-6961-7250$$aMorales-Hernández, M.$$uUniversidad de Zaragoza
000075857 700__ $$0(orcid)0000-0001-8674-1042$$aGarcía-Navarro, P.$$uUniversidad de Zaragoza
000075857 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000075857 773__ $$g40 (2018), 05008 [8 pp]$$pE3S web conf.$$tE3S web of conferences$$x2555-0403
000075857 8564_ $$s419685$$uhttps://zaguan.unizar.es/record/75857/files/texto_completo.pdf$$yVersión publicada
000075857 8564_ $$s68726$$uhttps://zaguan.unizar.es/record/75857/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000075857 909CO $$ooai:zaguan.unizar.es:75857$$particulos$$pdriver
000075857 951__ $$a2021-02-08-17:42:32
000075857 980__ $$aARTICLE