A Lagrangian Type Level Set Method Based on the Unified Coordinates

A Lagrangian-based level set method is proposed based on the transformation in the Unified Coordinates from CFD. The grids will move with the same speed as the linearly degenerated field. Excessive numerical dissipation for the external velocity flow in the original Eulerian approach can be eliminated, while addition or deletion of computational cells in the normal velocity motion is not necessary.