Implementation of Discontinuous Galerkin Methods for the Level Set Equation on Unstructured Meshes

摘要

Level set methods are often used to capture interface behavior in two-phase, incompressible flow models. While level set techniques for structured computational grids have been widely investigated, approaches for unstructured meshes are less mature. This report details the formulation and implementation of a discontinuous Galerkin-based approach that is suitable for unstructured meshes and offers potential gains in accuracy and efficiency over more traditional level set techniques.