A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Computations of multi-fluid flows
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
Evaluation of two lattice Boltzmann models for multiphase flows
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Proteus: a direct forcing method in the simulations of particulate flows
Journal of Computational Physics
Accurate representation of surface tension using the level contour reconstruction method
Journal of Computational Physics
Journal of Computational Physics
A simple package for front tracking
Journal of Computational Physics
Asymptotic analysis of the lattice Boltzmann equation
Journal of Computational Physics
A hybrid method to study flow-induced deformation of three-dimensional capsules
Journal of Computational Physics
A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method
Journal of Computational Physics
A combined lattice BGK/level set method for immiscible two-phase flows
Computers & Mathematics with Applications
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
A lattice Boltzmann method for immiscible two-phase Stokes flow with a local collision operator
Computers & Mathematics with Applications
Lattice Boltzmann phase-field modeling of thermocapillary flows in a confined microchannel
Journal of Computational Physics
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We propose to combine the lattice Boltzmann equation (LBE) and the front-tracking (FT) method to simulate interfacial dynamics with surface tension in two dimensions (2D). In the proposed LBE-FT method, the flow is modeled by the LBE on a fixed Cartesian mesh, whereas interfaces are explicitly tracked by a set of markers that are advected by the flow. The interface curvature is computed from adjacent markers and is then used to determine surface tension according to Laplace's law. The local capillary forces evaluated at the markers are distributed to nearby Eulerian grid points according to a ''smearing'' function to approximate the Dirac delta function due to Peskin. To validate the proposed LBE-FT method, we simulate (1) a circular bubble in a flow either quiescent or moving with a constant velocity and (2) the decaying capillary waves at the interface of two fluids of equal viscosities and densities. For the circular bubble, the spurious current measured in the LBE-FT is weaker than that observed in the standard volume of fluid method and some existing LBE models. For the capillary waves, the numerical results of the period T (or frequency ω), the attenuation rate γ, the surface tension σ and the root-mean-square error of the wave amplitude agree well with the normal-mode and Prosperetti's solutions. The proposed LBE-FT method is shown to have a second-order rate of convergence. We also show that the LBE-FT method is superior to the existing lattice BGK diffusive interface method in terms of accuracy of interface representation, numerical stability and computational efficiency.