Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Some numerical methods for the Hele-Shaw equations
Journal of Computational Physics
A fast level set method for propagating interfaces
Journal of Computational Physics
The fast construction of extension velocities in level set methods
Journal of Computational Physics
Structural boundary design via level set and immersed interface methods
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Computational Fluid Dynamics with Moving Boundaries
Computational Fluid Dynamics with Moving Boundaries
Journal of Computational Physics
Asymptotic analysis of the lattice Boltzmann equation
Journal of Computational Physics
Journal of Computational Physics
A combined lattice BGK/level set method for immiscible two-phase flows
Computers & Mathematics with Applications
Connectivity-free front tracking method for multiphase flows with free surfaces
Journal of Computational Physics
Hi-index | 31.45 |
We consider the lattice Boltzmann method for immiscible multiphase flow simulations. Classical lattice Boltzmann methods for this problem, e.g. the colour gradient method or the free energy approach, can only be applied when density and viscosity ratios are small. Moreover, they use additional fields defined on the whole domain to describe the different phases and model phase separation by special interactions at each node. In contrast, our approach simulates the flow using a single field and separates the fluid phases by a free moving interface. The scheme is based on the lattice Boltzmann method and uses the level set method to compute the evolution of the interface. To couple the fluid phases, we develop new boundary conditions which realise the macroscopic jump conditions at the interface and incorporate surface tension in the lattice Boltzmann framework. Various simulations are presented to validate the numerical scheme, e.g. two-phase channel flows, the Young-Laplace law for a bubble and viscous fingering in a Hele-Shaw cell. The results show that the method is feasible over a wide range of density and viscosity differences.