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Numerical equivalence between SPH and probabilistic mass transfer methods for Lagrangian simulation of dispersion
dc.contributor.author | Solé Marí, Guillem |
dc.contributor.author | Schmidt, Michael J. |
dc.contributor.author | Pankavich, Stephen D. |
dc.contributor.author | Benson, David A. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2019-05-08T13:37:01Z |
dc.date.available | 2021-02-23T01:29:21Z |
dc.date.issued | 2019-04 |
dc.identifier.citation | Sole-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.issn | 0309-1708 |
dc.identifier.other | https://www.researchgate.net/publication/329884313_Numerical_Equivalence_Between_SPH_and_Probabilistic_Mass_Transfer_Methods_for_Lagrangian_Simulation_of_Dispersion |
dc.identifier.uri | http://hdl.handle.net/2117/132739 |
dc.description.abstract | Several 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.extent | 8 p. |
dc.language.iso | eng |
dc.publisher | Elsevier |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física::Física de fluids |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Hydrodynamics--Mathematical models |
dc.subject.other | Lagrangian modeling Dispersion Smoothed particle hydrodynamics Mass transfer particle tracking Kernel bandwidth |
dc.title | Numerical equivalence between SPH and probabilistic mass transfer methods for Lagrangian simulation of dispersion |
dc.type | Article |
dc.subject.lemac | Hidrodinàmica -- Models matemàtics |
dc.contributor.group | Universitat Politècnica de Catalunya. GHS - Grup d'Hidrologia Subterrània |
dc.identifier.doi | 10.1016/j.advwatres.2019.02.009 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0309170818310820 |
dc.rights.access | Open Access |
local.identifier.drac | 23965159 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//PCIN-2015-248/ES/LAS NECESIDADES DE AGUA, LA DISPONIBILIDAD, LA CALIDAD Y LA SOSTENIBILIDAD/ |
local.citation.author | Sole-Mari, G.; Schmidt, M.; Pankavich, S.; Benson, D. |
local.citation.publicationName | Advances in water resources |
local.citation.volume | 126 |
local.citation.startingPage | 108 |
local.citation.endingPage | 115 |
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