Simulation of granular flow in a fluid applied to sedimentation. (English) Zbl 1189.76681

Komiwes, Vincent; Mege, Philippe; Meimon, Yves; Herrmann, Hans

Granul. Matter 8, No. 1, 41-54 (2006).

Summary: We present a numerical model applied to the simulation of granular flow in a fluid. The description of particle flow is discrete. Particle trajectories are calculated by Newton’s law and collisions are described by a soft-sphere approach. The fluid flow is modelled using the Navier-Stokes equation. The momentum transfer is directly calculated from the stress tensor around particles. This model is validated through the calculation of the drag coefficient, making it possible to discern the limitations on the Reynolds number according to the mesh size and the computational time. The accuracy of the Navier-Stokes solver is estimated by the calculation of the hydrodynamic drag of a fluid flowing through a porous media at low Reynolds numbers. The analysis shows that dense media require a smaller mesh size than diluted media. This model is then used to describe the sedimentation of two particles to reproduce the “draft, kiss and tumbled” effect. This shows the capacity of the model to reproduce hydrodynamic interactions acting on the scale of the particle. The terminal velocity of particles is in good agreement with experiments. Simulations of the sedimentation of a system of particles makes it possible to recover the Richardson and Zaki law in an acceptable CPU time.

MSC:

76T25	Granular flows
76M20	Finite difference methods applied to problems in fluid mechanics

Keywords:

Newton’s law; soft-sphere approach; Navier-Stokes equation; drag coefficient

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