A Local Curvature Based Adaptive Particle Level Set Method

In this work, we propose an adaptive particle reseeding method based on the local curvature for the particle level set method. Unlike the original method, a larger number of particles are placed near the interface with larger curvature to achieve high efficiency. For the interface evolution with stretching or shrinking, particles are added or deleted according to the local curvature, respectively. Besides, we further developed the correction procedure that has the grid independence. Through a rage of test cases, including star-shaped droplet and square in periodic vortex flow, Zalesak's disk rigid body rotation and LeVeque's three-dimensional deformation case, it shows that with this adaptive particle level set method, the unphysical oscillation of interface can be suppressed when the interface is extremely stretched. Compared with the original particle level set method, the present method has better area/volume conservation and higher computational efficiency. Numerical cases showed the CPU time is saved by 50-75% without losing accuracy.