Singular forces and point-like colloids in lattice Boltzmann hydrodynamics

Details Singular forces and point-like colloids in lattice Boltzmann hydrodynamics Singular forces and point-like colloids in lattice Boltzmann hydrodynamics

2007-07-09

arxiv.org/abs/0707.1299v1

Physics

Condensed Matter

Soft Condensed Matter

22 pages, 9 figures. Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.77.026709

We present a second-order accurate method to include arbitrary distributions of force densities in the lattice Boltzmann formulation of hydrodynamics. Our method may be used to represent singular force densities arising either from momentum-conserving internal forces or from external forces which do not conserve momentum. We validate our method with several examples involving point forces and find excellent agreement with analytical results. A minimal model for dilute sedimenting particles is presented using the method which promises a substantial gain in computational efficiency.

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