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Generalized parametric solutions in Stokes flow
dc.contributor.author | Díez, Pedro |
dc.contributor.author | Zlotnik, Sergio |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2017-11-30T11:59:32Z |
dc.date.available | 2018-11-01T01:30:30Z |
dc.date.issued | 2017-11-01 |
dc.identifier.citation | Diez, 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.issn | 0045-7825 |
dc.identifier.uri | http://hdl.handle.net/2117/111372 |
dc.description | The final publication is available at Springer via https://doi.org/10.1016/j.cma.2017.07.016 |
dc.description.abstract | Design 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.extent | 18 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Simulació |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Numerical analysis--Simulation methods |
dc.subject.lcsh | Mechanics |
dc.subject.other | Reduced order model |
dc.subject.other | Parametric solution |
dc.subject.other | Stokes flow |
dc.subject.other | Proper generalized decomposition |
dc.title | Generalized parametric solutions in Stokes flow |
dc.type | Article |
dc.subject.lemac | Anàlisi numèrica |
dc.subject.lemac | Mecànica |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1016/j.cma.2017.07.016 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems |
dc.rights.access | Open Access |
local.identifier.drac | 21542169 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Diez, P.; Zlotnik, S.; Huerta, A. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 326 |
local.citation.startingPage | 223 |
local.citation.endingPage | 240 |
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