Realistic fluid representation by anisotropic particle

Abstract

This paper presents a novel method for tracking multiphase fluid surfaces more accurately using the particle level-set (PLS) method with anisotropic instead of spherical particles. We create an anisotropic particle by considering the distribution of particles. To construct the anisotropic particles, we use the weighted version of principal component analysis and adopt the distribution of particles from the directional derivatives. This represents the fluid surface accurately, but the search for neighbor particles requires to calculate singular value decomposition with a high computational cost. Therefore, we devised a new method that uses directional derivatives to generate the anisotropic particles. This reduces the computational costs significantly but still allows the fluid interface to be tracked more accurately. Compared to the PLS method, our approach provides more detailed surfaces, corrects numerical dissipation, and preserves the volume of the fluid. Furthermore, we present particle-based fluid simulations with a surface reconstruction that uses anisotropic particles.