Simulation of residual oil displacement in a sinusoidal channel with the   lattice Boltzmann method
  We simulate oil slug displacement in a sinusoidal channel in order to validate computational models and algorithms for multi-component flow. This case fits in the gap between fully realistic cases characterized by complicated geometry and academic cases with simplistic geometry. Our computational model is based on the lattice Boltzmann method and allows for variation of physical parameters such as wettability and viscosity. The effect of variation of model parameters is analyzed, in particular via comparison with analytical solutions. We discuss the requirements for accurate solution of the oil slug displacement problem. 
Hiroshi Otomo, Hongli Fan, Randy Hazlett, Yong Li, Ilya Staroselsky,   Raoyang Zhang, Hudong Chen
physics.flu-dyn