• Separated response surfaces fo...

Treffer: Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms

Title:
Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms
Authors:
Giacomini, Matteo, Borchini, Luca, Sevilla Cárdenas, Rubén, Huerta, Antonio
Contributors:
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. Doctorat Erasmus Mundus en Simulació en Enginyeria i Desenvolupament de l'Emprenedoria, Centre Internacional de Mètodes Numèrics en Enginyeria, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
Publication Year:
2021
Collection:
Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge
Subject Terms:
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics, Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria, Numerical analysis--Simulation method, Numerical analysis, Reduced order models, A priori, A posteriori, Proper generalised decomposition, Response surfaces, Geometry parametrisation, Anàlisi numèrica, Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations, Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry
Document Type:
Fachzeitschrift article in journal/newspaper
File Description:
application/pdf
Language:
English
Relation:
https://www.sciencedirect.com/science/article/abs/pii/S0168874X21000147; info:eu-repo/grantAgreement/EC/H2020/675919/EU/Empowered decision-making in simulation-based engineering: Advanced Model Reduction for real-time, inverse and optimization in industrial problems/AdMoRe; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2017-85139-C2-2-R/ES/ASIMILACION DE DATOS PARA UNA SIMULACION INGENIERIL CREIBLE/; https://arxiv.org/pdf/2009.02176.pdf; http://hdl.handle.net/2117/355121
DOI:
10.1016/j.finel.2021.103530
Availability:
http://hdl.handle.net/2117/355121
https://arxiv.org/pdf/2009.02176.pdf
https://doi.org/10.1016/j.finel.2021.103530
Rights:
©2021. Elsevier ; Attribution-NonCommercial-NoDerivatives 4.0 International ; https://creativecommons.org/licenses/by-nc-nd/4.0/ ; Open Access
Accession Number:
edsbas.6F1BB62F
Database:
BASE

Weitere Informationen

© 2021 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ ; Reduced order models (ROM) are commonly employed to solve parametric problems and to devise inexpensive response surfaces to evaluate quantities of interest in real-time. There are many families of ROMs in the literature and choosing among them is not always a trivial task. This work presents a comparison of the performance of a priori and a posteriori proper generalised decomposition (PGD) algorithms for an incompressible Stokes flow problem in a geometrically parametrised domain. This problem is particularly challenging as the geometric parameters affect both the solution manifold and the computational spatial domain. The difficulty is further increased because multiple geometric parameters are considered and extended ranges of values are analysed for the parameters and this leads to significant variations in the flow features. Using a set of numerical experiments involving geometrically parametrised microswimmers, the two PGD algorithms are extensively compared in terms of their accuracy and their computational cost, expressed as a function of the number of full-order solves required. ; This work was partially supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sk lodowska-Curie Actions (Grant number: 675919) that financed the Ph.D. fellowship of L.B. and by the Spanish Ministry of Economy and Competitiveness (Grant number: DPI2017-85139-C2-2-R). M.G. and A.H. are also grateful for the support provided by the Spanish Ministry of Economy and Competitiveness through the Severo Ochoa programme for centres of excellence in RTD (Grant number: CEX2018-000797-S) and the Generalitat de Catalunya (Grant number: 2017-SGR-1278). R.S. also acknowledges the support of the Engineering and Physical Sciences Research Council (Grant number: EP/P033997/1). ; Peer Reviewed ; Postprint (author's final draft)