Standard methods for lattice Boltzmann simulations of suspended particles, based on the momentum exchange algorithm, might lack accuracy or violate Galilean invariance in some particular situations. Aiming at simulations of dense suspensions in high-shear flows, we motivate and investigate necessary correction terms. We propose an approach which, combining accurate treatments of fluid-structure interaction and moving boundaries, is able to preserve Galilean invariance in relevant orders and to improve the physical behavior of the system. We validate the approach in a comparison with standard methods in simple test problems.
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