  Drag laws for particles in fluids are often expressed in terms of the
undisturbed fluid velocity, defined as the fluid velocity a particle sees
before the disturbance develops in the fluid. In two-way coupled point-particle
simulations the information from the undisturbed state is not available and
must be approximated using the disturbed velocity field. Horwitz and Mani
(2016) recently developed a procedure to estimate the undisturbed velocity for
particles moving at low Reynolds number and obeying the Stokes drag law. Using
our correction, we demonstrated convergence of numerical simulations to
expected physical behavior for a range of canonical settings. In this paper we
further extend and examine that correction scheme for particles moving at
finite Reynolds number, by considering the Schiller-Nauman drag law. Tests of
particle settling in an otherwise quiescent fluid show reasonable predictions
of settling velocity history for particle Reynolds numbers up to ten. The
correction scheme is shown to lead to $\geq 70\%$ reduction in particle
velocity errors, compared to standard trilinear interpolation of disturbed
velocities. We also discuss the modelling of unsteady effects and their
relation to Stokes number and density ratio. Finally, we propose a regime
diagram to guide scheme selection for point-particle modelling.
