Authors Referees APS Members |
January 2008, to be published in Physical Review E
Singular forces and point-like colloids in lattice Boltzmann hydrodynamics
We present an accurate method to include arbitrary singular distributions of forces in the lattice Boltzmann formulation of hydrodynamics. We validate our method with several examples involving Stokeslet, stresslet and rotlet singularities, finding excellent agreement with analytical results. A minimal model for sedimenting particles is presented using the method. In the dilute limit, this model has accuracy comparable to, but computational efficiency much greater than, algorithms that explicitly resolve the size of the particles. © 2008 The American Physical Society.
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