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dc.contributorHuerta, Antonio
dc.contributorGiacomini, Matteo
dc.contributor.authorBorrás Fernández, Álvaro
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2020-11-20T14:23:43Z
dc.date.available2020-11-20T14:23:43Z
dc.date.issued2020-10
dc.identifier.urihttp://hdl.handle.net/2117/332727
dc.description.abstractThe process of design in computational fluid dynamics often involves queries to a similar set of problems, which may be viewed together as a single problem with parametrized data. These parameters can be seen as extra variables of the model. The use of reduced-order modeling provides a low-dimensional approximation of this high-dimensional solution space of solutions, thus enabling a fast evaluation of the obtained approximation. The aim of this thesis is to apply the recent robust face-centered finite volume (FCFV) method together with the Proper Generalized Decomposition to solve Stokes flow problems where the geometry of the domain is governed by a set of parameters, circumventing the curse of dimensionality and allowing for a real-time computation of the solutions. Contrary to other finite volume methods, the FCFV is not sensitive to mesh distortion and stretching, making it suitable to model complex geometries. The potential of the proposed technique is shown through an example arising from microfluidics, the so-called push-me-pull-you microswimmer.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.subjectÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
dc.subject.lcshFluid dynamics (Mathematics)
dc.subject.otherComputational Fluid Dynamics
dc.subject.otherModel Order Reduction
dc.subject.otherFinite Volumes
dc.subject.otherGeometry Parametrization
dc.subject.otherProper Generalized Decomposition
dc.subject.otherStokes flow.
dc.titleFast solution of parametric incompressible flow problems with application to microfluidics
dc.typeMaster thesis
dc.subject.lemacDinàmica de fluids
dc.subject.amsClassificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids
dc.identifier.slugFME-1996
dc.rights.accessOpen Access
dc.date.updated2020-10-24T05:26:01Z
dc.audience.educationlevelMàster
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.audience.degreeMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)


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