Level-Set field re-initialization: A computational model with finite element method on complicated domains

This paper introduces a proficient re-initialization method for the Level-Set (LS) field with the Finite Element Method (FEM) framework on unstructured meshes. The technique can retain the LS field's signed distance (SD) property but exploits the Eulerian-Lagrange multiplier technique. The scheme is based on geometric re-initialization and integrated with the FEM to higher-degree polynomials on complex domains. Numerical benchmark tests indicate the effectiveness and efficiency of the presented method, which also victoriously preserves the LS field's mass effectively, demonstrating its high performance.•Enriched LS method simulations using efficient re-initialization with the FEM in complex domains.•Based on geometry, the re-initialization scheme efficiently preserves the LS mass and applies to the higher-degree polynomials of the complex domains.•The efficiency and effectiveness of the method revealed by the benchmark trials.