• Hybridisable discontinuous Gal...

Treffer: Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

Title:
Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
Authors:
Universitat Politècnica de Catalunya. Doctorat Erasmus Mundus en Simulació en Enginyeria i Desenvolupament de l'Emprenedoria, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Centre Internacional de Mètodes Numèrics en Enginyeria, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria, Sevilla Cárdenas, Rubén, Borchini, Luca, Giacomini, Matteo, Huerta, Antonio
Publisher Information:
2020-12-01
Document Type:
E-Ressource Electronic Resource
Index Terms:
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica, Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Simulació, Numerical analysis, Numerical analysis--Simulation methods, Reduced order model, Geometry parametrisation, Hybridisable discontinuous Galerkin (HDG), Proper generalised decomposition (PGD), Anàlisi numèrica, Investigació operativa, Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry, Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science, Article
URL:
https://arxiv.org/pdf/2006.11846.pdf
http://hdl.handle.net/2117/328743
https://www.sciencedirect.com/science/article/pii/S004578252030582X
Availability:
Open access content. Open access content
Open Access
Note:
application/pdf
English
Other Numbers:
HGF oai:upcommons.upc.edu:2117/328743
Sevilla, R. [et al.]. Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows. "Computer methods in applied mechanics and engineering", 1 Desembre 2020, vol. 372, núm. 113397, p. 113397.
0045-7825
10.1016/j.cma.2020.113397
1224046144
Contributing Source:
UNIV POLITECNICA DE CATALUNYA
From OAIster®, provided by the OCLC Cooperative.
Accession Number:
edsoai.on1224046144
Database:
OAIster

Weitere Informationen

© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0
This paper proposes a novel computational framework for the solution of geometrically parametrised flow problems governed by the Stokes equation. The proposed method uses a high-order hybridisable discontinuous Galerkin formulation and the proper generalised decomposition rationale to construct an off-line solution for a given set of geometric parameters. The generalised solution contains the information for all the geometric parameters in a user-defined range and it can be used to compute sensitivities. The proposed approach circumvents many of the weaknesses of other approaches based on the proper generalised decomposition for computing generalised solutions of geometrically parametrised problems. Four numerical examples show the optimal mesh convergence properties of the proposed method and demonstrate its applicability in two and three dimensions, with particular emphasis on parametrised flows in microfluidics.
Peer Reviewed
Postprint (author's final draft)