Application of the Coupled Volume of Fluid and Level Set (CVOFLS) Method for Moving Interface Tracking in the Zalesak Disk Problem

Addressing the inaccuracies in interface curvature computation using the Volume of Fluid (VOF) method and the lack of mass conservation in the Level Set (LS) method, a novel interface tracking method, the Coupled Volume of Fluid and LS (CVOFLS) method, is established. This approach synergistically integrates the strengths of both VOF and Level Set methodologies. It simultaneously solves for the VOF and LS functions based on fluid velocity, corrects fluid mass using the surface obtained by the VOF approach, and computes interface normals using the LS function, thereby eliminating the need for LS function reinitialization. This effectively overcomes the shortcomings of both methods. Numerical simulations of interface tracking demonstrate that the CVOFLS method ensures high tracking accuracy of free interfaces, good mass conservation, and improved computational efficiency.