Surface tension and viscosity with Lagrangian hydrodynamics on a triangular mesh
Journal of Computational Physics
The lattice Boltzmann equation: a new tool for computational fluid-dynamics
Proceedings of the NATO advanced research workshop on Lattice gas methods for PDE's : theory, applications and hardware: theory, applications and hardware
A Knudsen layer theory for lattice gases
Proceedings of the NATO advanced research workshop on Lattice gas methods for PDE's : theory, applications and hardware: theory, applications and hardware
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Simulating free surface flows with SPH
Journal of Computational Physics
Stability analysis of lattice Boltzmann methods
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Grid refinement for lattice-BGK models
Journal of Computational Physics
Journal of Computational Physics
An accurate curved boundary treatment in the lattice Boltzmann method
Journal of Computational Physics
Journal of Computational Physics
A lattice Boltzmann method for incompressible two-phase flows with large density differences
Journal of Computational Physics
MoXi: real-time ink dispersion in absorbent paper
ACM SIGGRAPH 2005 Papers
Journal of Computational Physics
On stability condition for bifluid flows with surface tension: Application to microfluidics
Journal of Computational Physics
HyPAM: A hybrid continuum-particle model for incompressible free-surface flows
Journal of Computational Physics
Localized Parallel Algorithm for Bubble Coalescence in Free Surface Lattice-Boltzmann Method
Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing
A lattice Boltzmann approach for free-surface-flow simulations on non-uniform block-structured grids
Computers & Mathematics with Applications
Free surface flow simulations on GPGPUs using the LBM
Computers & Mathematics with Applications
On enhanced non-linear free surface flow simulations with a hybrid LBM-VOF model
Computers & Mathematics with Applications
Free surface lattice Boltzmann with enhanced bubble model
Computers & Mathematics with Applications
Hi-index | 31.47 |
A generalized lattice Boltzmann model to simulate free-surface is constructed in both two and three dimensions. The proposed model satisfies the interfacial boundary conditions accurately. A distinctive feature of the model is that the collision processes is carried out only on the points occupied partially or fully by the fluid. To maintain a sharp interfacial front, the method includes an anti-diffusion algorithm. The unknown distribution functions at the interfacial region are constructed according to the first-order Chapman-Enskog analysis. The interfacial boundary conditions are satisfied exactly by the coefficients in the Chapman-Enskog expansion. The distribution functions are naturally expressed in the local interfacial coordinates. The macroscopic quantities al the interface are extracted from the least-square solutions of a locally linearized system obtained from the known distribution functions. The proposed method does not require any geometric front construction and is robust for any interfacial topology. Simulation results of realistic filling process are presented: rectangular cavity in two dimensions and Hammer box, Campbell box, Sheffield box, and Motorblock in three dimensions. To enhance the stability at high Reynolds numbers, various upwind-type schemes are developed. Free-slip and no-slip boundary conditions are also discussed.