A correction scheme for two-way coupled point-particle simulations on anisotropic grids

Regularization of the Lagrangian point force approximation for deterministic discrete particle simulations

“…Two of their simulations, namely for spherical particles with separation lengths l s /d p = (2, 4) with ∆ = 1 may be directly compared to those reported in the present work. For these two simulations, the error levels obtained in the present work are very similar to those obtained by Esmaily and Horwitz (2018).…”

“…In addition to performance considerations, the accuracy of the present method should also be assessed on test cases of intermediate complexity such as homogeneous isotropic turbulence laden with particles. Changes in both particle and turbulence dynamics were reported in the literature for this test case, for instance regarding the rate of energy dissipation Esmaily and Horwitz (2018), particle settling velocities Ireland and Desjardins (2017) and particle preferential concentration Horwitz and Mani (2018) when including corrections to recover the undisturbed fluid velocity at the particle position. It would be interesting to confirm some of these observations using the present approach.…”

“…It is reminded that given the present choice of the regularization length scale L D,s = 6 d p , the analytic correction of the particle's self-induced velocity is applied for all three values of ∆ while the source term regularization is only enabled for ∆ = 1 and ∆ = 2. When simulating the particle pair problem, each particle experiences a repulsive force that increases the separation length l s in time and in turn modifies the terminal velocity Esmaily and Horwitz (2018). This increase in l s is not consistent with the analytic solution, which assumes fixed positions in the transverse direction.…”

“…Resolution effects may again be partially invoked to explain this trend as curvature effects of the velocity field at the particle scale may only be captured with a sufficiently refined grid. Esmaily and Horwitz (2018) also studied the settling of a horizontally aligned particle pair. Two of their simulations, namely for spherical particles with separation lengths l s /d p = (2, 4) with ∆ = 1 may be directly compared to those reported in the present work.…”

Numerical Approaches to Complex Fluids

“…Other approaches have been proposed to model the feedback of the point particle on the flow, which should be independent of the resolutions used; details can be found in Refs. [139][140][141][142].…”