The application of the lattice Boltzmann model to wave simulation has
been successfully implemented.
The algorithm, although complicated by the
introduction of density and order parameter gradients needed to simulate
the immiscible fluids, still has the underlying simplicity which
allows it to be run efficiently on a parallel computer. This gives
a high degree of performance. One of the main strengths of the model
is that the boundary between the fluids appears naturally within the
model. There is no need to keep track of the interface or to treat
sites at the interface differently from the other fluid sites.
In summary, the application of the lattice Boltzmann technique to interfacial wave modelling has proved very successful. Interfacial internal waves have been simulated for a range of the model parameters and the measurements made from the simulations have been shown to agree well with the available wave theory. The waves have also been compared with experimental results and have shown good agreement within the limitations of the measurements.