Aims

The main aims of this thesis are:

1. To examine the existing lattice Boltzmann models for multi-fluid simulation, in the literature, and asses their suitability for modelling interfacial internal waves.
   
2. To investigate the introduction of a body force into the lattice Boltzmann scheme.
   
3. To test the two-component fluid model, which is selected for the simulations, with the body force incorporated to insure that the model is Galilean invariant and independent of the underlying lattice.
   
4. To use the lattice Boltzmann model incorporating the body force to simulate interfacial waves for a range of model and wave parameters.
   
5. To compare the results of the simulations with the theoretical predictions and with existing experimental results.