Simulation of gas–solid particle flows by boundary domain integral method

Abstract

A novel numerical scheme based on the boundary domain integral method (BDIM) for the numerical simulation of gas–solid particle flows is presented. A program is being developed to model the hydrodynamics of fluidized bed systems by using the Eulerian approach in terms of velocity–vorticity variable formulation. Both phases are treated as separated, incompressible, continuous and fully interpenetrating fluids. Each phase is described by a modified Navier–Stokes equation including interphase momentum exchange. With the vorticity vector ω p i representing the curl of the velocity field v p i , computation scheme of both phases motion is partitioned into its kinematic and kinetic aspects. Therefore, the additional equation from the drift flux theory is necessary to compute volume fraction. Main advantage of the proposed BDIM scheme is the reduced number of additional physical models derived from the kinetic theory of granular flows for the description of the solid phase. Numerical scheme has been tested first on a single-phase test examples. Two-phase two-component results are studied on two-phase gas–solid particles vertical channel flow.