Detail-Preserving Fully-Eulerian Interface Tracking Framework

摘要

This paper introduces a fully-Eulerian interface tracking frameworkrnthat preserves the fine details of liquids. Unlike existing Eulerianrnmethods, the proposed framework shows good mass conservationrneven though it does not employ conventional Lagrangian elements.rnIn addition, it handles complex merging and splitting of interfacesrnrobustly due to the implicit representation. To model the inter-rnface more accurately, a high order polynomial reconstruction of thernsigned distance function is utilized based on a number of sub-gridrnquadrature points. By combining this accurate polynomial repre-rnsentation with a high-order re-initialization method, the proposedrnframework preserves the detailed structures of the interface. More-rnover, the method is simple to implement, unconditionally stable,rnand is suitable for parallel computing environments.