dc.creator | Badia, Santiago | es |
dc.creator | Codina, Ramón | es |
dc.creator | Gutiérrez Santacreu, Juan Vicente | es |
dc.date.accessioned | 2017-04-05T09:43:38Z | |
dc.date.available | 2017-04-05T09:43:38Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Badia, S., Codina, R. y Gutiérrez Santacreu, J.V. (2010). Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling. SIAM Journal on Numerical Analysis, 48 (3), 1013-1037. | |
dc.identifier.issn | 0036-1429 | es |
dc.identifier.uri | http://hdl.handle.net/11441/57151 | |
dc.description.abstract | Variational multiscale methods lead to stable finite element approximations of the
Navier–Stokes equations, dealing with both the indefinite nature of the system (pressure stability) and
the velocity stability loss for high Reynolds numbers. These methods enrich the Galerkin formulation
with a subgrid component that is modeled. In fact, the effect of the subgrid scale on the captured
scales has been proved to dissipate the proper amount of energy needed to approximate the correct
energy spectrum. Thus, they also act as effective large-eddy simulation turbulence models and allow
one to compute flows without the need to capture all the scales in the system. In this article, we
consider a dynamic subgrid model that enforces the subgrid component to be orthogonal to the
finite element space in the L2 sense. We analyze the long-term behavior of the algorithm, proving
the existence of appropriate absorbing sets and a compact global attractor. The improvements
with respect to a finite element Galerkin approximation are the long-term estimates for the subgrid
component, which are translated to effective pressure and velocity stability. Thus, the stabilization
introduced by the subgrid model into the finite element problem does not deteriorate for infinite time
intervals of computation. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | SIAM | es |
dc.relation.ispartof | SIAM Journal on Numerical Analysis, 48 (3), 1013-1037. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Navier–Stokes problem | es |
dc.subject | long-term stability | es |
dc.subject | absorbing set | es |
dc.subject | global attractor | es |
dc.subject | stabilized finite element methods | es |
dc.subject | subgrid scales | es |
dc.title | Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.publisherversion | http://epubs.siam.org/doi/abs/10.1137/090766681 | es |
dc.identifier.doi | 10.1137/090766681 | es |
idus.format.extent | 25 | es |
dc.journaltitle | SIAM Journal on Numerical Analysis | es |
dc.publication.volumen | 48 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 1013 | es |
dc.publication.endPage | 1037 | es |