  We compare two recently developed mesoscale models of binary immiscible and
ternary amphiphilic fluids. We describe and compare the algorithms in detail
and discuss their stability properties. The simulation results for the cases of
self-assembly of ternary droplet phases and binary water-amphiphile sponge
phases are compared and discussed. Both models require parallel implementation
and deployment on large scale parallel computing resources in order to achieve
reasonable simulation times for three-dimensional models. The parallelisation
strategies and performance on two distinct parallel architectures are compared
and discussed. Large scale three dimensional simulations of multiphase fluids
requires the extensive use of high performance visualisation techniques in
order to enable the large quantities of complex data to be interpreted. We
report on our experiences with two commercial visualisation products: AVS and
VTK. We also discuss the application and use of novel computational steering
techniques for the more efficient utilisation of high performance computing
resources. We close the paper with some suggestions for the future development
of both models.
