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dc.contributor.authorSolé Marí, Guillem
dc.contributor.authorSchmidt, Michael J.
dc.contributor.authorPankavich, Stephen D.
dc.contributor.authorBenson, David A.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2019-05-08T13:37:01Z
dc.date.available2021-02-23T01:29:21Z
dc.date.issued2019-04
dc.identifier.citationSole-Mari, G. [et al.]. Numerical equivalence between SPH and probabilistic mass transfer methods for Lagrangian simulation of dispersion. "Advances in water resources", Abril 2019, vol. 126, p. 108-115.
dc.identifier.issn0309-1708
dc.identifier.otherhttps://www.researchgate.net/publication/329884313_Numerical_Equivalence_Between_SPH_and_Probabilistic_Mass_Transfer_Methods_for_Lagrangian_Simulation_of_Dispersion
dc.identifier.urihttp://hdl.handle.net/2117/132739
dc.description.abstractSeveral Lagrangian methodologies have been proposed in recent years to simulate advection-dispersion of solutes in fluids as a mass exchange between numerical particles carrying the fluid. In this paper, we unify these methodologies, showing that mass transfer particle tracking (MTPT) algorithms can be framed within the context of smoothed particle hydrodynamics (SPH), provided the choice of a Gaussian smoothing kernel whose bandwidth depends on the dispersion and the time discretization. Numerical simulations are performed for a simple dispersion problem, and they are compared to an analytical solution. Based on the results, we advocate for the use of a kernel bandwidth of the size of the characteristic dispersion length $\ell=\sqrt{2D\mathrm\Delta t}$ at least given a “dense enough” distribution of particles, for in this case the mass transfer operation is not just an approximation, but in fact the exact solution, of the solute’s displacement by dispersion in a time step.
dc.format.extent8 p.
dc.language.isoeng
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física::Física de fluids
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshHydrodynamics--Mathematical models
dc.subject.otherLagrangian modeling Dispersion Smoothed particle hydrodynamics Mass transfer particle tracking Kernel bandwidth
dc.titleNumerical equivalence between SPH and probabilistic mass transfer methods for Lagrangian simulation of dispersion
dc.typeArticle
dc.subject.lemacHidrodinàmica -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. GHS - Grup d'Hidrologia Subterrània
dc.identifier.doi10.1016/j.advwatres.2019.02.009
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0309170818310820
dc.rights.accessOpen Access
local.identifier.drac23965159
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//PCIN-2015-248/ES/LAS NECESIDADES DE AGUA, LA DISPONIBILIDAD, LA CALIDAD Y LA SOSTENIBILIDAD/
local.citation.authorSole-Mari, G.; Schmidt, M.; Pankavich, S.; Benson, D.
local.citation.publicationNameAdvances in water resources
local.citation.volume126
local.citation.startingPage108
local.citation.endingPage115


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