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Lattice Boltzmann Model for Free Surface Flow for Modeling Foaming
Authors:C Körner  M Thies  T Hofmann  N Thürey  U Rüde
Institution:(1) Materials Science and Technology WTM, University of Erlangen-Nueremberg, Martensstr. 5, 91058 Erlangen, Germany;(2) System Simulation Group, Cauerstr. 6, 91058 Erlangen, Germany
Abstract:We present a 2D- and 3D-lattice Boltzmann model for the treatment of free surface flows including gas diffusion. Interface advection and related boundary conditions are based on the idea of the lattice Boltzmann equation. The fluid dynamic boundary conditions are approximated by using the mass and momentum fluxes across the interface, which do not require explicit calculation of gradients. A similar procedure is applied to fulfill the diffusion boundary condition. Simple verification tests demonstrate the correctness of the algorithms. 2D- and 3D-foam evolution examples demonstrate the potential of the method.
Keywords:Lattice Boltzmann method  free surface flow  advection  diffusion  boundary conditions  foam
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