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An arbitrary high order ADER Discontinous Galerking (DG) numerical scheme for the multilayer shallow water model with variable density

dc.contributor.authorGuerrero Fernández, E.
dc.contributor.authorCastro Díaz, M. J.
dc.contributor.authorDumbser, M.
dc.contributor.authorMorales de Luna, T.
dc.date.accessioned2021-06-16T11:47:59Z
dc.date.available2021-06-16T11:47:59Z
dc.date.issued2021
dc.identifier.citationGuerrero Fernández, E.; Castro Díaz, M. J.; Dumbser, M. y Morales de Luna, T. (2021) An arbitrary high order ADER Discontinous Galerking (DG) numerical scheme for the multilayer shallow water model with variable density. En Gallego, R. y Mateos, M.(editores) Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada (pp. 208-215). Oviedo : Universidad de Oviedo, Servicio de Publicaciones
dc.identifier.isbn978-84-18482-21-2
dc.identifier.urihttp://hdl.handle.net/10651/59085
dc.description.abstractIn this work, an arbitrary high order numerical discretization for a density dependent multilayer shallow-water model is presented. The model can be written as a system of hyperbolic PDE equations and it is especially suited for simulations of density driven gravity currents within the shallow-water framework. The proposed discretization is composed by an unlimited high order accurate (ADER) Discontinuous Galerkin (DG) method, which is then limited a posteriori with the MOOD paradigm, resulting in great resolution capabilities in smooth regions alongside a robust and accurate respond for strong gradients or discontinuities. A numerical strategy to preserve non-trivial stationary solutions is also discussed. Some numerical results are shown including density driven currents where laboratory data is available.spa
dc.language.isoengspa
dc.publisherServicio de Publicaciones de la Universidad de Oviedospa
dc.relation.ispartofProceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicadaspa
dc.rights© Los autores
dc.rights© 2021 Universidad de Oviedo
dc.rightsCC Reconocimiento - No comercial - Sin obras derivadas 3.0 España
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.titleAn arbitrary high order ADER Discontinous Galerking (DG) numerical scheme for the multilayer shallow water model with variable densityspa
dc.typeinfo:eu-repo/semantics/bookPartspa
dc.type.dcmitextspa
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess


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