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dc.contributor.authorDíez, Pedro
dc.contributor.authorZlotnik, Sergio
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2017-11-30T11:59:32Z
dc.date.available2018-11-01T01:30:30Z
dc.date.issued2017-11-01
dc.identifier.citationDiez, P., Zlotnik, S., Huerta, A. Generalized parametric solutions in Stokes flow. "Computer methods in applied mechanics and engineering", 1 Novembre 2017, vol. 326, p. 223-240.
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/2117/111372
dc.descriptionThe final publication is available at Springer via https://doi.org/10.1016/j.cma.2017.07.016
dc.description.abstractDesign optimization and uncertainty quantification, among other applications of industrial interest, require fast or multiple queries of some parametric model. The Proper Generalized Decomposition (PGD) provides a separable solution, a computational vademecum explicitly dependent on the parameters, efficiently computed with a greedy algorithm combined with an alternated directions scheme and compactly stored. This strategy has been successfully employed in many problems in computational mechanics. The application to problems with saddle point structure raises some difficulties requiring further attention. This article proposes a PGD formulation of the Stokes problem. Various possibilities of the separated forms of the PGD solutions are discussed and analyzed, selecting the more viable option. The efficacy of the proposed methodology is demonstrated in numerical examples for both Stokes and Brinkman models.
dc.format.extent18 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Simulació
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshNumerical analysis--Simulation methods
dc.subject.lcshMechanics
dc.subject.otherReduced order model
dc.subject.otherParametric solution
dc.subject.otherStokes flow
dc.subject.otherProper generalized decomposition
dc.titleGeneralized parametric solutions in Stokes flow
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.subject.lemacMecànica
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1016/j.cma.2017.07.016
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems
dc.rights.accessOpen Access
local.identifier.drac21542169
dc.description.versionPostprint (author's final draft)
local.citation.authorDiez, P.; Zlotnik, S.; Huerta, A.
local.citation.publicationNameComputer methods in applied mechanics and engineering
local.citation.volume326
local.citation.startingPage223
local.citation.endingPage240


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