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A numerical method for particle-laden fluids interacting with a deformablesolid domain and mobile rigid parts is proposed and implemented in a fullengineering system. The fluid domain is modeled with a lattice Boltzmannrepresentation, the particles and rigid parts are modeled with a discreteelement representation, and the deformable solid domain is modeled using aLagrangian mesh. The main issue of this work, since separately each of thesemethods is a mature tool, is to develop coupling and model-reduction approachesin order to efficiently simulate coupled problems of this nature, as occur invarious geological and engineering applications. The lattice Boltzmann methodincorporates a large-eddy simulation technique using the Smagorinsky turbulencemodel. The discrete element method incorporates spherical and polyhedralparticles for stiff contact interactions. A neo-Hookean hyperelastic model isused for the deformable solid. We provide a detailed description of how tocouple the three solvers within a unified algorithm. The technique we proposefor rubber modeling/coupling exploits a simplification that prevents having tosolve a finite-element problem each time step. We also develop a technique toreduce the domain size of the full system by replacing certain zones withquasi-analytic solutions, which act as effective boundary conditions for thelattice Boltzmann method. The major ingredients of the routine are areseparately validated. To demonstrate the coupled method in full, we simulateslurry flows in two kinds of piston-valve geometries. The dynamics of the valveand slurry are studied and reported over a large range of input parameters.

A simulation technique for slurries interacting with moving parts and deformable solids with applications