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Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction
dc.contributor.author | Reyes, Ricardo |
dc.contributor.author | Codina, Ramon |
dc.contributor.other | Universitat Politècnica de Catalunya. Doctorat en Enginyeria Civil |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2020-07-29T14:04:55Z |
dc.date.available | 2022-06-05T00:28:46Z |
dc.date.issued | 2020-08 |
dc.identifier.citation | Reyes, R.; Codina, R. Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction. "Computer methods in applied mechanics and engineering", Agost 2020, vol. 368, p. 113159:1-113159:27. |
dc.identifier.issn | 0045-7825 |
dc.identifier.other | https://www.researchgate.net/publication/337768812_Element_boundary_terms_in_reduced_order_models_for_flow_problems_domain_decomposition_and_adaptive_coarse_mesh_hyper-reduction |
dc.identifier.uri | http://hdl.handle.net/2117/327995 |
dc.description.abstract | In this paper we present a finite-element based reduced order model and, in particular, we consider two aspects related to the introduction of inter-element boundary terms in the formulation. The first is a domain decomposition strategy in which the transmission conditions involve boundary terms to account for non-matching meshes and discontinuous physical properties. The second is a coarse mesh hyper-reduction for which we propose an adaptive refinement driven by an a posteriori error estimator that contains element boundary terms. As the finite element full order model, the reduced order model is based on the Variational Multi-Scale framework, with sub-grid scales defined not only in the element interiors, but also on the inter-element boundaries. We present some examples of application using the incompressible Navier–Stokes equations and the Boussinesq approximation. |
dc.description.sponsorship | R. Reyes acknowledges the scholarship received from COLCIENCIAS, from the Colombian Government. R. Codina acknowledges the support received from the ICREA, Spain Acadèmia Research Program, from the Catalan Government. |
dc.language.iso | eng |
dc.rights | © 2019. Elsevier |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
dc.subject | Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids |
dc.subject.lcsh | Decomposition (Mathematics) |
dc.subject.lcsh | Fluid mechanics--Mathematical models |
dc.subject.other | Reduced order model (ROM) |
dc.subject.other | Variational multi-scale (VMS) method |
dc.subject.other | Boundary subscales |
dc.subject.other | Hyper-reduction |
dc.subject.other | Adaptive mesh refinement (AMR) |
dc.subject.other | a posteriori error estimates |
dc.title | Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction |
dc.type | Article |
dc.subject.lemac | Descomposició (Matemàtica) |
dc.subject.lemac | Mecànica de fluids -- Mètodes numèrics |
dc.contributor.group | Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica |
dc.identifier.doi | 10.1016/j.cma.2020.113159 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0045782520303443 |
dc.rights.access | Open Access |
local.identifier.drac | 28997114 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Reyes, R.; Codina, R. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 368 |
local.citation.startingPage | 113159:1 |
local.citation.endingPage | 113159:27 |
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