Frame-invariant sub-grid corrections to the Fictitious Domain Method for the simulation of particulate suspensions in nonlinear flows using OpenFOAM

M Orsi and L Lobry and F Peters, JOURNAL OF COMPUTATIONAL PHYSICS, 474, 111823 (2023).

DOI: 10.1016/j.jcp.2022.111823

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.

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