Zouaoui, S.Djebouri, H.Ferhat, B.Mohammedi, K.2021-09-222021-09-22202117509548http://journal.multiphysics.org/index.php/IJM/article/view/15-3-311DOI: https://doi.org/10.21152/1750-9548.15.3.311https://dspace.univ-boumerdes.dz/handle/123456789/7127We present here a numerical method to compute the motion of rigid particles in fluid flow with a non-elastic impact law. Many methods have been proposed recently and different strategies have been used to compute such flows. Our motivation is the handling of the non-overlapping constraint in fluid-particle direct simulations. Each particle is treated individually and the Navier-Stokes equations are solved for the moving fluid by Fluent code which is based on the Finite Volume Method. The contact-handling algorithm, which is implemented in a research C ++, is based on the projection of the velocity field of the rigid particles over the velocity field of the fluid flow. The method consists of imposing a constraint on the velocity field of the particles, as a guarantee that at each time step the calculated particle velocity field belongs to an eligible velocity field of the fluid. In this case study, an Uzawa algorithm has been appliedenC++ (programming language)Finite volume methodNavier Stokes equationsNumerical methodsVelocityVelocity controlArticle