A free-surface lattice Boltzmann method for modelling the filling of expanding cavities by Bingham fluids
Open Access
- 15 March 2002
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 360 (1792) , 453-466
- https://doi.org/10.1098/rsta.2001.0941
Abstract
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.Keywords
This publication has 15 references indexed in Scilit:
- Multiple–relaxation–time lattice Boltzmann models in three dimensionsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2002
- Inertial, viscous and yield stress effects in Bingham fluid filling of a 2-D cavityJournal of Non-Newtonian Fluid Mechanics, 2001
- On the determination of yield surfaces in Herschel–Bulkley fluidsJournal of Rheology, 1999
- A Lattice-Boltzmann Model for Visco-ElasticityInternational Journal of Modern Physics C, 1997
- Local second-order boundary methods for lattice Boltzmann modelsJournal of Statistical Physics, 1996
- Surface tension models with different viscositiesTransport in Porous Media, 1995
- Boundary flow condition analysis for the three-dimensional lattice Boltzmann modelJournal de Physique II, 1994
- Non‐Newtonian flow (through porous media): A lattice‐Boltzmann methodGeophysical Research Letters, 1993
- Microscopic Modeling of Immiscible Fluids in Three Dimensions by a Lattice Boltzmann MethodEurophysics Letters, 1992
- Volume of fluid (VOF) method for the dynamics of free boundariesJournal of Computational Physics, 1981