Mostrar el registro sencillo del ítem

dc.contributor.authorGarres-Díaz, José
dc.contributor.authorEscalante-Sanchez, Cipriano
dc.contributor.authorMorales-de-Luna, Tomás 
dc.contributor.authorCastro-Díaz, Manuel Jesús 
dc.date.accessioned2023-01-24T13:27:53Z
dc.date.available2023-01-24T13:27:53Z
dc.date.issued2022-09-13
dc.identifier.citationJ. Garres-Díaz, C. Escalante, T. Morales de Luna, M.J. Castro Díaz, A general vertical decomposition of Euler equations: Multilayer-moment models, Applied Numerical Mathematics, Volume 183, 2023, Pages 236-262, ISSN 0168-9274, https://doi.org/10.1016/j.apnum.2022.09.004es_ES
dc.identifier.urihttps://hdl.handle.net/10630/25779
dc.description.abstractIn this work, we present a general framework for vertical discretizations of Euler equations. It generalizes the usual moment and multilayer models and allows to obtain a family of multilayer-moment models. It considers a multilayer-type discretization where the layerwise velocity is a polynomial of arbitrary degree N on the vertical variable. The contribution of this work is twofold. First, we compare the multilayer and moment models in their usual formulation, pointing out some advantages/disadvantages of each approach. Second, a family of multilayer-moment models is proposed. As particular interesting case we shall consider a multilayer-moment model with layerwise linear horizontal velocity. Several numerical tests are presented, devoted to the comparison of multilayer and moment methods, and also showing that the proposed method with layerwise linear velocity allows us to obtain second order accuracy in the vertical direction. We show as well that the proposed approach allows to correctly represent the vertical structure of the solutions of the hydrostatic Euler equations. Moreover, the measured efficiency shows that in many situations, the proposed multilayer-moment model needs just a few layers to improve the results of the usual multilayer model with a high number of vertical layers.es_ES
dc.description.sponsorshipThis research has been partially supported by the Spanish Government and FEDER through the research projects RTI2018-096064-B-C2(1/2) and PID2020-114688RB-I00, the Junta de Andalucía research project P18-RT-3163, the Junta de Andalucia-FEDER-University of Málaga research project UMA18-FEDERJA-16. Funding for open access charge: Universidad de Málaga / CBUA.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectMultilayer-moment modelses_ES
dc.subjectVertical discretizationses_ES
dc.subjectShallow water flowses_ES
dc.subjectFree surfacees_ES
dc.subjectEuler equationses_ES
dc.subject.otherMultilayer-moment modelses_ES
dc.subject.otherVertical discretizationses_ES
dc.subject.otherShallow water flowses_ES
dc.subject.otherFree surfacees_ES
dc.subject.otherEuler equationses_ES
dc.titleA general vertical decomposition of Euler equations: Multilayer-moment modelses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.centroE.T.S.I. Informáticaes_ES
dc.identifier.doi10.1016/j.apnum.2022.09.004
dc.rights.ccAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


Ficheros en el ítem

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem

Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Excepto si se señala otra cosa, la licencia del ítem se describe como Attribution-NonCommercial-NoDerivatives 4.0 Internacional