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Frame-invariant sub-grid corrections to the Fictitious Domain Method for the simulation of particulate suspensions in nonlinear flows using OpenFOAM
Orsi, Michel
Lobry, Laurent
Peters, François
Institut de Physique de Nice (INPHYNI) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
International audience
ISSN: 0021-9991
EISSN: 1090-2716
Journal of Computational Physics
Elsevier
hal-03892372
https://cnrs.hal.science/hal-03892372
https://cnrs.hal.science/hal-03892372/document
https://cnrs.hal.science/hal-03892372/file/Orsi%20et%20al_2023_Frame-invariant%20sub-grid%20corrections%20to%20the%20Fictitious%20Domain%20Method%20for%20the.pdf
https://cnrs.hal.science/hal-03892372
Journal of Computational Physics, 2023, 474, pp.111823. ⟨10.1016/j.jcp.2022.111823⟩
DOI: 10.1016/j.jcp.2022.111823
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jcp.2022.111823
en
Suspensions Nonlinear flows Sub-grid corrections Fictitious Domain Method Discrete element method OpenFOAM
[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn]
info:eu-repo/semantics/article
Journal articles
A particle-scale simulation method for non-Brownian suspensions at low Reynolds numbers is presented, which is well suited to nonlinear flows. It is based on a Fictitious Domain Method supplemented by sub-grid corrections (Gallier et al., 2014 [16]). In the original method, the standard sub-grid corrections involve the underlying suspension linear flow. The conditions required to remove this ambient flow from the sub-grid corrections, while keeping frame indifference, are determined. A sub-grid correction matrix is built for the particle-particle and particle-wall hydrodynamic interactions, such that the mentioned conditions inherently hold. The method is validated against various flows that involve a few particles or a concentrated suspension in linear and nonlinear flows, with various boundary conditions.
2023-02