Abstract
AbstractThis thesis reports the simulations using the immersed boundary method (IBM) with complex environments. Based on the IBM simulation on the fixed and moving boundary problems, it was found that the position restoring force formulation performs better than that of spring and bending force method to achieve stable computation. Due to the adoption of the dirac delta force redistribution function, the IBM tends to produce a diffusive flow field near the interface boundary. Part of the efforts was aiming improving this deficiency. A modification, which ensures the fiber marker to move in the normal direction, does reduce this diffusive effect. However, across the boundary an induced secondary motion was also predicted. This was attributed to the inaccurate treatment of diffusive flux across the boundary. Finally, a circular object falling from resting position due to gravity was simulated with the immersed boundary method, where the mass of the fiber is represented via the variation of the density field.