A finite element based model of Navier-Stokes equations in porous media for particle-laden flows
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In this work we develop a finite element based formulation of Navier-Stokes equations in porous media stabilized with the Variational Multi-Scale (VMS) framework. This formulation allows to simulate inertial flows in porous media and particle-laden flows. To evaluate its stability, the formulation using tracked (D-VMS) and untracked (QS-VMS) subscales has been submitted to exhaustive numerical tests. We propose a fully coupled fluid-particle interaction algorithm for particle-laden flows. The fluid phase will be solved using the aforementioned model and the particles with the discrete element method (DEM). The kernel-based coupling proposed will allow CFD-DEM algorithm to be used when the size of the particle is of the same order or higher than the continuum elements, situations often encountered in industrial problems. Finally, we applied this coupling algorithm to simulate the sand screen test which is very important in the oil & gas industry to assess the performance of sand screens in wells.
