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Lattice-Boltzmann simulation of gas-particle flow in filters. (English) Zbl 0902.76077
The approach used for the computations of fluid phase is based on an approximation of the Boltzmann equation, called the lattice-BGK approach. The new kind of boundary conditions fit with the second-order accuracy of the hydrodynamical no-slip conditions on a surface of arbitrary form lying between the nodes of a regular lattice. This simulates in an effective way the viscous incompressible flow with complex boundaries at small Reynolds number. The motion of the solid phase is calculated by means of a Lagrangian approach. Results are presented for different Stokes numbers to study the influence of hydrodynamics on particle deposition.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
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