The modeling of moving solid particles in fluid flow has been the focus of many studies and
has succeeded to attract sufficient attention by researchers. However, commonly used modeling
approaches such as discrete element modeling (DEM) and direct numerical simulations
(DNS) lack simplicity and have been computationally intensive [1]. The aim of this paper is
to develop a new approach to simulate solid transport in an incompressible Newtonian fluid
flow. This method is based on the Finite element method with penalization of the deformation
tensor [2]. The fluid behavior is governed by the Navier-Stokes equations within the investigation
domain. To take into account collisions, we present an algorithm which allows us
to handle contacts between rigid particles [3, 4]. In this paper, 2D simulation fluid/particles
flow is performed; some preliminary results are presented.