Numercial simulations for phase-field model
- Filament pinching-off and drop formation in 3-D axissymmetric case (2-D). (Yang et.al. 2006)

Filament pinch-off in Newtonian/Newtonian fluids mixture when viscosity=0.001
- Complex fluids: For the mixture of Newtonian/Viscoelastic fluids, the different behavior of a drop under shear flow is studied, this work is nearly finished.

Dynamics of a liquid crystal drop in Newtonian fluids: Cahn-Hillard dynamics
- Adaptive mesh method: An efficient moving mesh spectral method with non-periodic boundary conditions is proposed for the phase -field model of multiphase-flows. (Shen & Yang, 2008)

The comparision between the adaptive mesh method and fixed grids method