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A posteriori error estimates in a finite element VMS-based reduced order model for the incompressible Navier-Stokes equations

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10.1016/j.mechrescom.2020.103599
 
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hdl:2117/343273

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Codina, RamonMés informacióMés informacióMés informació
Reyes, RicardoMés informació
Baiges Aznar, JoanMés informacióMés informacióMés informació
Document typeArticle
Defense date2021-03
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 4.0 International
This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 4.0 International
ProjectOPTIMIZACION TOPOLOGICA DE ESTRUCTURAS SUJETAS A INTERACCION FLUIDO-ESTRUCTURA (AEI-RTI2018-098276-B-I00)
Abstract
In this paper we present an a posteriori error estimate for a reduced order model (ROM) for the incompressible Navier-Stokes equations that is based on the fact that the full order model is a finite element (FE) approximation. Both this FE approximation and the ROM are stabilized by means of a variational multi-scale (VMS) strategy, in which the unknowns are split into FE scales and sub-grid scales (SGS), the latter being modeled in terms of the former. The SGS, when properly scaled, provide directly the a posteriori error estimate, both for the ROM and for the FE approximation.
CitationCodina, R.; Reyes, R.; Baiges, J. A posteriori error estimates in a finite element VMS-based reduced order model for the incompressible Navier-Stokes equations. "Mechanics research communications", Març 2021, vol. 112, p. 103599:1-103599:9. 
URIhttp://hdl.handle.net/2117/343273
DOI10.1016/j.mechrescom.2020.103599
ISSN0093-6413
Publisher versionhttps://www.sciencedirect.com/science/article/abs/pii/S0093641320301270
Other identifiershttps://www.researchgate.net/publication/340978490_A_posteriori_error_estimates_in_a_finite_element_VMS-based_reduced_order_model_for_the_incompressible_Navier-Stokes_equations
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