|A DF-IBM/NSCD coupling framework to simulate immersed particle interactions |
Auteur(s): Dbouk Talib, Perales Frédéric, Babik Fabrice, Mozul R.
(Article) Publié: Computer Methods In Applied Mechanics And Engineering, vol. 309 p.610-624 (2016)
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Immersed granular flows a re p resent w idely i n d ifferent d omains u nder d ifferent f orms (at various s cales) s uch a s i n nature (rivers, muds, atmosphere, blood...), and in many industrial applications (detergents, cosmetics, etc...). Studying such flows properly requires one to represent well the physics behind their dynamics: the fluid/solid interactions (FSI), the solid/solid interactions (SSI) and the coupling mechanisms at various scales. In this work, a new coupling framework to simulate immersed granular flows has been developed. The FSI has been modeled using a direct-forcing immersed boundary method (DF-IBM) and implemented in the parallelized " PELICANS " C++ library. In this DF-IBM, all the mathematical equations, including the direct-forcing term, are discretized, both in space and time, and solved iteratively via a finite-volume a nd p rojection methods o n E ulerian G rids. A sharp-edge i nterface, that c an b e s moothed, i s used to represent the fluid/solid transition. The modeling of the multiple SSI at the grain's scale is based on the Non-Smooth Contact Dynamics (NSCD) approach developed in the " LMGC90 " open-source library. The coupling of the two softwares " PELICANS " and " LMGC90 " , called Xper, provides an efficient framework to simulate and study dense immersed granular flows by taking into account, both advanced contact laws between grains, and hydrodynamic interactions. We address in this paper the effects of imposing a fluid-ring numerically (or fluid-mesh-cells) around two settling solid disks on modifying their dynamics. The DF-IBM approach implemented in Xper is validated, on a 2D flow over a stationary rigid cylinder benchmark, and on the settling of a rigid buoyant sphere in an incompressible laminar fluid at different Reynolds numbers. The numerical results are in good agreement with experimental and numerical data from the literature.