Radial Basis Function Based Gridfree Scheme for Interface Capturing: Preliminary Results

In this paper, we propose a Radial Basis Function (RBF) based grid free scheme for capturing the interface which is passively advected by the underlying velocity field and present some preliminary results. The level set function is used to capture the interface and reinitialization algorithm is applied to maintain its signed distance property. The presented scheme is validated with two examples.