During the process of bubbles interacting with particles, the bubble movement velocity, jetting phenomenon, topological deformation, and even properties of flow field may demonstrate novel variation. To investigate these characteristics, the lattice Boltzmann method (LBM) which is based on kinetic theory is adopted to build up the three dimensional coupled model. The gas-liquid interface with l...

Lubrication equations are fourth order degenerate diffusion equations of the form ht + ∇ · (f(h)∇∆h) = 0, describing thin films or liquid layers driven by surface tension. Recent studies of singularities in which h → 0 at a point, describing rupture of the fluid layer, show that such equations exhibit complex dynamics which can be difficult to simulate accurately. In particular, one must ensure...