  A general, two-way coupled, point-particle formulation that accounts for the
disturbance created by the dispersed particles in obtaining the undisturbed
fluid flow field needed for accurate computation of the force closure models is
presented. Specifically, equations for the disturbance field created by the
presence of particles are first derived based on the inter-phase momentum
coupling force in a finite-volume formulation. Solution to the disturbance
field is obtained using two approaches: (i) direct computation of the
disturbance velocity and pressure using the reaction force due to particles at
computational control volumes, and (ii) a linearized, approximate computation
of the disturbance velocity field, specifically applicable for low Reynolds
number flows. In both approaches, the computed disturbance field is used to
obtain the undisturbed fluid velocity necessary to model the aerodynamic forces
on the particle. The two approaches are thoroughly evaluated for a single
particle in an unbounded and wall-bounded flow on uniform, anisotropic, as well
as unstructured grids to show accurate computation of the particle motion and
inter-phase coupling. The approach is straightforward and can be applied to any
numerical formulation for particle-laden flows including Euler-Lagrange as well
as Euler-Euler formulations.
