In this paper, a macro particle method is developed to model the fluid-particle flows. The macro particle is formed by a collection of micro-sized particle so that the number of macro particle to be tracked is much less than the number of smaller particle. Unlike the calculations of instantaneous point variables of fluid phase with moving discrete boundaries of the smaller particles with direct numerical simulation, the boundary of each macro particle is just dealt with the blocked-off approach. On the other hand, the flow fields based on the present method is solved by original Navier-Stokes, rather than the modified ones based on the locally averaged theorem. The flow fields are solved on the length scale of computational cell, while the resolutions of solid particles are the size of macro particle, which is determined as needed in specific applications. The macro particle method is validated by several cases, which demonstrate the macro particle method could accurately resolve fluid-particle systems in an efficient, robust and flexible fashion.
Sparse identification of multiphase turbulence closures for coupled fluid–particle flows – CORRIGENDUM
