An optimal level-set field re-initialization using Chorin's projection method for structured meshes
Umer Siddiqui, Fahim Raees · International Journal of ADVANCED AND APPLIED SCIENCES · 2025
This paper presents a new and effective method for re-initializing the Level-Set (LS) field within the framework of Chorin's projection method. The Navier-Stokes equations (NSE) are solved numerically using the Finite Element Method (FEM) in combination with Chorin's projection method. The proposed approach improves accuracy and efficiency, ensuring precise mass conservation of the LS field. The effectiveness and efficiency of the re-initialization method are validated through benchmark test cases. This study provides an efficient approach for solving time-dependent incompressible fluid flow problems by using Chorin's projection method to separate pressure and velocity fields. Additionally, it introduces an efficient technique for re-initializing the LS field. The findings demonstrate the accuracy, efficiency, and mass conservation capabilities of the method, making a valuable contribution to numerical analysis and computational fluid dynamics.