Modelling droplets on superhydrophobic surfaces: equilibrium states and   transitions
  We present a lattice Boltzmann solution of the equations of motion describing the spreading of droplets on topologically patterned substrates. We apply it to model superhydrophobic behaviour on surfaces covered by an array of micron-scale posts. We find that the patterning results in a substantial increase in contact angle, from $110^o$ to $156^o$. The dynamics of the transition from drops suspended on top of the posts to drops collapsed in the grooves is described. 
A. Dupuis and J.M. Yeomans