Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms
Visualitza/Obre
10.1016/j.finel.2021.103530
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/355121
Tipus de documentArticle
Data publicació2021-11-15
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 4.0 Internacional
ProjecteAdMoRe - Empowered decision-making in simulation-based engineering: Advanced Model Reduction for real-time, inverse and optimization in industrial problems (EC-H2020-675919)
ASIMILACION DE DATOS PARA UNA SIMULACION INGENIERIL CREIBLE (AEI-DPI2017-85139-C2-2-R)
ASIMILACION DE DATOS PARA UNA SIMULACION INGENIERIL CREIBLE (AEI-DPI2017-85139-C2-2-R)
Abstract
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.
Descripció
© 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/
CitacióGiacomini, M. [et al.]. Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms. "Finite elements in analysis and design", 15 Novembre 2021, vol. 196, p. 103530:1-103530:30.
ISSN0168-874X
Versió de l'editorhttps://www.sciencedirect.com/science/article/abs/pii/S0168874X21000147
Altres identificadorshttps://arxiv.org/pdf/2009.02176.pdf
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