Continuous front tracking with subcell resolution

The objective of this research is development of front tracking methods that possess subgrid resolution capability. One envisions here continuous tracking of the front, as opposed to discrete (one grid point to the next) tracking, such as is provided by the random choice method. A front tracking scheme employing near-front cells which continuously evolve with time is developed. This scheme is applied to the problem of tracking a material interface in the underwater explosion problem.