Viscous wave interaction with structures using adapting quadtree grids and cartesian cut cells

This work involves the application of adaptive hierarchical grids to free surface Navier-Stokes simulation of viscous waves in a stationary tank and their interaction with a cylinder. Adapting quadtree grids are combined with a volume of fluid (VoF) approach, in which a high resolution interface capturing scheme is used for advection of the interface. The Navier-Stokes equations are discretised using finite volumes with collocated primitive variables and solved using the PISO (Pressure Implicit with Splitting of Operators) algorithm. The cylinder is included by using the technique of Cartesian cut cells. Grids adapt to follow the movement of the free surface and to provide refinement in areas of high vorticity. The method is used to simulate small amplitude viscous waves in a unit square tank, separated flow past a cylinder and preliminary results are presented for the fluid structure interaction occurring when a cylinder moves into a tank of still water and for viscous waves in a tank containing a submerged or surface piercing cylinder. Results agree reasonably well with available analytical, experimental and numerical data