Nonsmooth simulation of dense granular flows in complex geometries

Gilles Daviet 1 Florence Bertails-Descoubes 1
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : We focus on the continuum simulation of dense granular flows, of which we note two characteristics: first, due to the Coulombic nature of the friction between particles, the material exhibits a yield-stress which depends of the local pressure. Then, contrary to ordinary fluids, granular flows can expend; however despite this observation, most previous approaches enforce a divergence-free velocity field. This has severe drawbacks, as it can lead to negative pressure values in the wake of obstacles, and therefore difficulties in the definition of the yield-stress. In this work we allow for positive values of the divergence. Numerically, most attempts at simulating granular media relied either on regularization techniques, or on an Augmented Lagrangian algorithm. We introduce a novel method based on nonsmooth optimization theory. Thanks to the absence of any regularization, we can accurately capture dead-zones and the transition between regimes.
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Submitted on : Friday, October 9, 2015 - 10:38:56 AM
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Gilles Daviet, Florence Bertails-Descoubes. Nonsmooth simulation of dense granular flows in complex geometries. International Symposium "Complex Fluid Flow in Porous Media", Oct 2015, Bordeaux, France. ⟨hal-01213547⟩

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