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Data-driven upscaling of orientation kinematics in suspensions of rigid fibres

Article dans une revue avec comité de lecture
Author
SCHEUER, Adrien
92863 Université Catholique de Louvain = Catholic University of Louvain [UCL]
ccCUETO, Elias
95355 Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
161327 Aragón Institute of Engineering Research [Zaragoza] [I3A]
KEUNINGS, Roland
92863 Université Catholique de Louvain = Catholic University of Louvain [UCL]
130718 Centre for systems engineering and applied mechanics [Louvain] [CESAME]
197411 Institute of Information and Communication Technologies, Electronics and Applied Mathematics [ICTEAM]
ADVANI, Suresh G.
93432 University of Delaware [Newark]
ccABISSET-CHAVANNE, Emmanuelle
10921 Institut de Recherche en Génie Civil et Mécanique [GeM]
111023 École Centrale de Nantes [ECN]
445111 Institut de Calcul Intensif [ICI]
ccAMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
252741 Laboratoire Rhéologie et Procédés [LRP]
ccCHINESTA SORIA, Francisco
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/15419
DOI
10.31614/cmes.2018.04278
Date
2018
Journal
Computer Modeling in Engineering and Sciences

Abstract

Describing the orientation state of the particles is often critical in fibre suspension applications. Macroscopic descriptors, the so-called second-order orientation tensor (or moment) leading the way, are often preferred due to their low computational cost. Closure problems however arise when evolution equations for the moments are derived from the orientation distribution functions and the impact of the chosen closure is often unpredictable. In this work, our aim is to provide macroscopic simulations of orientation that are cheap, accurate and closure-free. To this end, we propose an innovative data-based approach to the upscaling of orientation kinematics in the context of fibre suspensions. Since the physics at the microscopic scale can be modelled reasonably enough, the idea is to conduct accurate offline direct numerical simulations at that scale and to extract the corresponding macroscopic descriptors in order to build a database of scenarios. During the online stage, the macroscopic descriptors can then be updated quickly by combining adequately the items from the database instead of relying on an imprecise macroscopic model. This methodology is presented in the well-known case of dilute fibre suspensions (where it can be compared against closure-based macroscopic models) and in the case of suspensions of confined or electrically-charged fibres, for which state-of-the-art closures proved to be inadequate or simply do not exist.

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