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The Exact Regularized Point Particle (ERPP) method is extended to treat theinterphase momentum coupling between particles and fluid in the presence ofwalls by accounting for the vorticity generation due to the particles close tosolid boundaries. The ERPP method overcomes the limitations of other methods byallowing the simulation of an extensive parameter space (Stokes number, massloading, particle-to-fluid density ratio and Reynolds number) and of particlespatial distributions that are uneven (few particles per computational cell).The enhanced ERPP method is explained in detail and validated by consideringthe global impulse balance. In conditions when particles are located close tothe wall, a common scenario in wall-bounded turbulent flows, the maincontribution to the total impulse arises from the particle-induced vorticity atthe solid boundary. The method is applied to direct numerical simulations ofparticle-laden turbulent pipe flow in the two-way coupling regime to addressthe turbulence modulation. The effects of the mass loading, the Stokes numberand the particle-to-fluid density ratio are investigated. The drag is eitherunaltered or increased by the particles with respect to the uncoupled case. Nodrag reduction is found in the parameter space considered. The momentum stressbudget, which includes an extra stress contribution by the particles, providesthe rationale behind the drag behaviour. The extra stress produces a momentumflux towards the wall that strongly modifies the viscous stress, the culprit ofdrag at solid boundaries.

Exact regularized point particle (ERPP) method for particle-laden wall-bounded flows in the two-way coupling regime