SUMMARY

A VOF based multiphase Lattice Boltzmann method that explicitly prescribes kinematic boundary conditions at the interface is developed. The advantage of the method is the direct control over the surface tension value. The details of the numerical method are presented. The Saffman instability, Taylor instability, and flow of deformable suspensions in a channel are used as example-problems to demonstrate the accuracy of the method. The method allows for relatively large viscosity and density ratios. The method discussed in the present study aims at resolving the interface precisely using the Volume-of-Fluid (VOF) concept in background of the Gunstensen’s method. The basic ideas of Gunstensen’s method are used, but with some fundamental improvements. Surface tension which is implicitly provided in the Gunstensen method is explicitly supplied in the present method. The present method also takes normal stress into account to describe the interfacial dynamics. It can handle considerably high density and viscosity ratios as long as the compressibility limit is not crossed.