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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.author | Guerrero Fernández, E. | |
dc.contributor.author | Castro Díaz, M. J. | |
dc.contributor.author | Dumbser, M. | |
dc.contributor.author | Morales de Luna, T. | |
dc.date.accessioned | 2021-06-16T11:47:59Z | |
dc.date.available | 2021-06-16T11:47:59Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Guerrero 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.isbn | 978-84-18482-21-2 | |
dc.identifier.uri | http://hdl.handle.net/10651/59085 | |
dc.description.abstract | In 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.format.extent | p. 208-215 | |
dc.language.iso | eng | spa |
dc.publisher | Servicio de Publicaciones de la Universidad de Oviedo | spa |
dc.relation.ispartof | Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada | spa |
dc.rights | © Los autores | |
dc.rights | © 2021 Universidad de Oviedo | |
dc.rights | CC Reconocimiento - No comercial - Sin obras derivadas 3.0 España | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | |
dc.title | An arbitrary high order ADER Discontinous Galerking (DG) numerical scheme for the multilayer shallow water model with variable density | spa |
dc.type | book part | spa |
dc.rights.accessRights | open access | |
dc.type.hasVersion | VoR |
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XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada [55]
Recoge las actas del XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada