Abstract
A newly developed method of shape representation, the multi-level partition of unity (MPU) implicit surface, is applied to a moving boundary problem in voxel Cartesian grid. The MPU implicit surface allows us to construct surface models from very large sets of points with normal and polygon. An octree subdivision method is adapted to variations in the complexity of the local shape in the MPU. The MPU has a good compatibility with Cartesian based flow solvers having octree data structure. Combinations of the MPU and the shape approximation in Cartesian based flow solvers are discussed.
