One-Layer Particle Level Set Method

Abstract

A one-layer particle level set method in which Lagrangian particles are employed to track the interface features is proposed and utilized to capture the interface. First, the interface is captured by utilizing the level set method. Then, the interface is corrected based on the position information of Lagrangian particles and the smooth and accurate interface is obtained. The defect of poor volume conservation properties of the level set method is overcome, which greatly improves the accuracy of the moving interface. After that, a simple and effective particle reallocation strategy is presented, including the addition and deletion of particles, so that the method can accurately handle complex topological changes such as the interface merging and separation. Finally, the method proposed is verified by several benchmark examples, which can be used to accurately describe the moving interface.

Keywords

• moving interface
• lagrangian particles
• level set method
• particle reallocation