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A free-surface lattice Boltzmann method for modelling the filling of expanding cavities by Bingham fluids

: Ginzburg, I.; Steiner, K.


Philosophical Transactions of the Royal Society of London. Series A 360 (2002), No.1792, pp.453-466
ISSN: 0080-4614
ISSN: 0962-8428
ISSN: 1364-503X
ISSN: 0264-3820
ISSN: 1471-2962
Journal Article
Fraunhofer ITWM ()
Boltzmann method; Bingham fluid; viscoplastic metal alloy; free-interface algorithm; first-order Chapman-Enskog expansion

The filling process of viscoplastic metal alloys and plastics in expanding cavities is modelled using the lattice Boltzmann method in two and three dimensions. These models combine the regularized Bingham model for viscoplastic fluids with a free interface algorithm. The latter is based on a modified immiscible lattice Boltzmann model in which. one species is the fluid and the other one is considered to be a vacuum. The boundary conditions at the curved liquid-vacuum interface are met without any geometrical front reconstruction from a first-order Chapman- Enskog expansion. The numerical results obtained with these models are found in good agreement with available theoretical and numerical analysis.