In this paper, we propose a new numerical method for improving the mass conservation properties of the level set method when the interface is passively advected in a flow field. Our method uses Lagrangian marker particles to rebuild the level set in regions which are under-resolved. This is often the case for flows undergoing stretching and tearing. The overall method maintains a smooth geometrical description of the interface and the implementation simplicity characteristic of the level set method. Our method compares favorably with volume of fluid methods in the conservation of mass and purely Lagrangian schemes for interface resolution. The method is presented in three spatial dimensions.
The Particle Level Set Method (PLSM) by REF uses Lagrangian particles around the interface and advects them with the flow.
A Hybrid Particle Level Set Method for Improved Interface Capturing
J. Comput. Phys
Mathematics