Abstract: A method is presented for the simulation of viscous incompressible flow with many suspended solid particles. This method uses a finite-element discretisation in space and an operator-splitting technique for discretisation in time and has its basis in work by Glowinski et al.. However, a subspace projection rather than a Lagrange multiplier is used to couple the particle motion with the fluid motion. Combined with local mesh refinement the method results in a fast and accurate algorithm for the simulation of a huge number of particles in a flow field. Validation is achieved using the sedimentation of one particle and comparing the resulting drag coefficient with theoretical and experimental results.
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