The rational cubic function with three parameters has been extended to rational bi-cubic function to visualize the shape of regular convex surface data. The rational bi-cubic function involves six parameters in each rectangular patch. Data dependent constraints are derived on four of these parameters to visualize the shape of convex surface data while other two are free to refine the shape of s...

Simulation of free surface flow and sudden wave profile are recognized as the most challenging problem in computational hydraulics. Several Eulerian/Lagrangian approaches and models can be implemented for simulating such phenomena in which the smoothed particle hydrodynamics method (SPH) is categorized as a proper candidate. The incompressible SPH (ISPH) method hires a precise incompressible hy...

In turbulence near a free surface, strong vortices attach to the creating surface imprints visible as nearly circular ‘dimples’. By studying these in direct numerical simulation (DNS) data we make two observations. First, of surface-attached can be very effectively distinguished from other turbulent features using physical features: they are shape, and persist for long time compared with pertin...

We review models for the nucleation of magnetisation reversal, i.e. the formation of a region of reversed magnetisation in an initially magnetically saturated system. For small particles models for collective reversal, either uniform (Stoner-Wohlfarth model) or non-uniform like curling give good agreement between theory and experiment. For microscopic objects and thin films, we consider two mod...

We investigate the adsorption dynamics of colloidal particles to a liquid/liquid interface. Such an analysis is important in the formation of Pickering emulsions. Using a free energy formulation that has been used for adsorption of surfactants, we obtain the time evolution of the surface coverage and dynamic surface tension. We estimate the characteristic time for adsorption, and show that it c...