Interface Reconstruction for Multiphase Homogeneous Mixture Model Using Level-set Approach

Abstract

The present research focuses on developing a numerical method to capture the accurate location of phase interface and calculate the precise curvature of phase interface for surface tension in the area of analyzing compressible two-phase flows. Two of the present methods are homogeneous mixture method and level-set method. The former method is good at capturing accurate location of phase interface but it produces diffusive phase interface. Also, the method is poor at the calculating curvature of phase interface even with exact information of phase interface. On the other hand, the latter method has sharpened phase interface and it can compute precise values about the curvature of phase interface. Therefore, the proposed method in this thesis is a blended scheme of the advantages from homogeneous mixture model and level-set method. The new method is referred to as the Coupled Level-set and Homogeneous Mixture (CLSHM) model. Then, its improvements are validated by several tests in comparison to homogeneous mixture model and level-set methods and experiment.