The discrete Green's function paradigm for two-way coupled Euler–Lagrange simulation

We outline a methodology for the simulation of two-way coupled particle-laden flows. The drag force that couples fluid and particle momentum depends on undisturbed velocity at location, this latter quantity requires modelling. demonstrate velocity, in low Reynolds number limit, can be related exactly to discrete Green's function Stokes equations. In addition hydrodynamics, method extended other physics present flows such as heat transfer electromagnetism. functions Navier–Stokes equations are obtained two-plane channel geometry. perform verification different numbers settling under gravity parallel plane wall, wall-normal separations. Compared with point-particle schemes, Stokesian approach is most robust number, accurate all To account degradation accuracy away from wall finite we extend an Oseen-like function. found within $6\,\%$ separations up 24. well suited dilute systems significant mass loading highlighted by comparison against Euler–Lagrange particle-resolved simulations gas–solid turbulent flow. Strong particle–turbulence coupling observed form turbulence modification turbophoresis suppression, these observations placed context methods.