Abstract
In this paper, numerical simulations of a contaminated water drop sinking in silicone oil were performed by a Front-tracking (FT) method. In order to achieve high spatial resolution near the interface, an Adaptive Mesh Refinement (AMR) method was employed. A finite difference scheme suitable for AMR grid systems, which are independent from vortex structure, was proposed and evaluated. Importance of accuracy of the finite difference scheme for viscous term at interface between different size cells was confirmed. Effect of the calculative thickness of interface in FT simulations was evaluated by comparing the results with and without AMR. It was found that the proposed AMR-FT method taking the contamination effect into account can reproduce the experimentally observed water drop very precisely.
