Finite Element Model Of Grains/Fluid Flows
(2014) 11th World Congress on Computational Mechanics (WCCM XI) — Location: Barcelone, Espagne (20.July.2014)
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- Abstract
- We present a model to solve grains/ uid ows. Mixtures of grains and uids occur in a large number of industrial and geophysical applications like uidised beds, mixing, mud ows, landslides, submarine avalanches, etc. The granular phase is solved by a contact dynamics method at the particle scales. For the hydrodynamic part, we solve the incompressible Navier-Stokes-Brinkman equations in a porous media by a nite element method. Those equations represent in a single model a continuous transition between the Darcy regime at high particle concentration and a classical Navier-Stokes ow at low concentration. At high Reynolds number, the term of Forchheimer is used to take the particle shapes into account. This approach allows the simulation of a granular phase with a large number of particles with dierent size, shape, and compactness. The interactions between the grains and the uid mixture occurs at a mesoscopic scale. The mesoscopic scale is chosen independently of the mesh resolution of the hydrodynamic problem so that the exibility of the unstructured mesh is fully preserved. A mesh conver- gence analysis is performed and, thanks to a proper treatment of the coarse-graining and projection operations, the order of precision of the nite-element method is preserved.
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Lambrechts, J., Remacle, J.-F., & Dubois, F. (2014). Finite Element Model Of Grains/Fluid Flows. 11th World Congress on Computational Mechanics (WCCM XI), Barcelone, Espagne. https://hdl.handle.net/2078.5/223802