Commun. Comput. Phys., 7 (2010), pp. 544-563.

A LB-DF/FD Method for Particle Suspensions

Deming Nie 1, Jianzhong Lin 1*

1 State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; and College of Metrology and Technology Engineering, China Jiliang University, Hangzhou 310018, China.

Received 30 September 2008; Accepted (in revised version) 10 July 2009
Available online 23 September 2009


In this paper, we propose a lattice Boltzmann (LB) method coupled with a direct-forcing fictitious domain (DF/FD) method for the simulation of particle suspensions. This method combines the good features of the LB and the DF/FD methods by using two unrelated meshes, namely, an Eulerian mesh for the flow domain and a Lagrangian mesh for the solid domain, which avoids the re-meshing procedure and does not need to calculate the hydrodynamic forces at each time step. The non-slip boundary condition is enforced by introducing a forcing term into the lattice Boltzmann equation, which preserves all remarkable advantages of the LBM in simulating fluid flows. The present LB-DF/FD method has been validated by comparing its results with analytical results and previous numerical results for a single circular particle and two circular particles settling under gravity. The interaction between particle and wall, the process of drafting-kissing-tumbling (DKT) of two settling particles will be demonstrated. As a manifestation of the efficiency of the present method, the settling of a large number (128) of circular particles is simulated in an enclosure.

AMS subject classifications: 76T20, 76-02, 76M28

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Key words: Lattice Boltzmann method, direct-forcing fictitious domain method, particle suspension, numerical simulation.

*Corresponding author.
Email: (D. Nie), (J. Lin)

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