%0 Journal Article %T Frame-invariant sub-grid corrections to the Fictitious Domain Method for the simulation of particulate suspensions in nonlinear flows using OpenFOAM %+ Institut de Physique de Nice (INPHYNI) %A Orsi, Michel %A Lobry, Laurent %A Peters, François %< avec comité de lecture %@ 0021-9991 %J Journal of Computational Physics %I Elsevier %V 474 %P 111823 %8 2023-02 %D 2023 %R 10.1016/j.jcp.2022.111823 %K Suspensions Nonlinear flows Sub-grid corrections Fictitious Domain Method Discrete element method OpenFOAM %Z Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn]Journal articles %X 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. %G English %2 https://cnrs.hal.science/hal-03892372/document %2 https://cnrs.hal.science/hal-03892372/file/Orsi%20et%20al_2023_Frame-invariant%20sub-grid%20corrections%20to%20the%20Fictitious%20Domain%20Method%20for%20the.pdf %L hal-03892372 %U https://cnrs.hal.science/hal-03892372 %~ UNICE %~ CNRS %~ INPHYNI %~ UNIV-COTEDAZUR