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dc.contributor.authorSantos Serrano, Daniel
dc.contributor.authorMuela Castro, Jordi
dc.contributor.authorValle Marchante, Nicolás
dc.contributor.authorTrias Miquel, Francesc Xavier
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Enginyeria Tèrmica
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics
dc.date.accessioned2022-05-04T12:52:14Z
dc.date.available2022-05-04T12:52:14Z
dc.date.issued2021
dc.identifier.citationSantos, D. [et al.]. On the Interpolation Problem for the Poisson Equation on Collocated Meshes. A: World Congress on Computational Mechanis and European Congres on Computational Methods in Applied Sciences and Engineering. "14th WCCM-ECCOMAS Congress 2020: collection of papers presented at the 14th edition of the WCCM-ECCOMAS, virtual congress, January, 11-15, 2021". Barcelona: International Centre for Numerical Methods in Engineering (CIMNE), p. 1-12. ISBN 978-84-121101-7-3. DOI 10.23967/wccm-eccomas.2020.257.
dc.identifier.isbn978-84-121101-7-3
dc.identifier.otherhttps://www.scipedia.com/public/Santos_et_al_2021a
dc.identifier.urihttp://hdl.handle.net/2117/366809
dc.description.abstractThe appearence of unphysical velocities in highly distorted meshes is a common problem in many simulations. In collocated meshes, this problem arises from the interpolation of the pressure gradient from faces to cells. Using an algebraic form for the classical incompressible Navier-Stokes equations, this problem is adressed. Starting from the work of F. X. Trias et. al. [FX.Trias et al. JCP 258: 246-267, 2014], a new approach for studying the Poisson equation obtained using the Fractional Step Method is found, such as a new interpolator is proposed in order to found a stable solution, which avoid the appearence of these unpleasant velocities. The stability provided by the interpolator is formally proved for cartesian meshes and its rotations, using fully-explicit time discretizations. The construction of the Poisson equation is supported on mimicking the symmetry properties of the differential operators and the Fractional Step Method. Then it is reinterpreted using a recursive application of the Fractional Step Method in order to study the system as an stationary iterative solver. Furthermore, a numerical analysis for unstructured mesh is also provided.
dc.description.sponsorshipThis work has been financially supported by the Ministerio de Economía y Competitividad, Spain (project ref. ENE2017-88697-R). D. Santos acknowledges a FI AGAUR-Generalitat de Catalunya fellowship (2020FI B 00839), and N. Valle also acknowledges a FI AGAUR-Generalitat de Catalunya fellowship (2017FI B 00616). The authors thankfully acknowledge these institutions.
dc.format.extent12 p.
dc.language.isoeng
dc.publisherInternational Centre for Numerical Methods in Engineering (CIMNE)
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Enginyeria mecànica
dc.subject.lcshPoisson distribution
dc.subject.lcshComputational fluid dynamics
dc.subject.otherSymmetry-preserving discretization
dc.subject.otherCollocated formulation
dc.subject.otherStructured grid
dc.subject.otherPoisson equation
dc.subject.otherStability
dc.subject.otherInterpolator
dc.subject.otherFSM
dc.titleOn the Interpolation Problem for the Poisson Equation on Collocated Meshes
dc.typeConference report
dc.subject.lemacPoisson, Distribució de
dc.subject.lemacDinàmica de fluids computacional
dc.contributor.groupUniversitat Politècnica de Catalunya. CTTC - Centre Tecnològic de la Transferència de Calor
dc.identifier.doi10.23967/wccm-eccomas.2020.257
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.identifier.drac32007189
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/ENE2017-88697-R/ES/ALGORITMOS NUMERICOS AVANZADOS PARA LA MEJORA DE LA EFICIENCIA ENERGETICA EN LOS SECTORES EOLICO Y SOLAR-TERMICO: DESARROLLO%2FADAPTACION A NUEVAS ARQUITECTURAS COMPUTACIONALES/
local.citation.authorSantos, D.; Muela, J.; Valle, N.; Trias, F. X.
local.citation.contributorWorld Congress on Computational Mechanis and European Congres on Computational Methods in Applied Sciences and Engineering
local.citation.pubplaceBarcelona
local.citation.publicationName14th WCCM-ECCOMAS Congress 2020: collection of papers presented at the 14th edition of the WCCM-ECCOMAS, virtual congress, January, 11-15, 2021
local.citation.startingPage1
local.citation.endingPage12


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