Numerical Simulations of Violent Free Surface by a Coupled Level-Set and Volume-of-Fluid Method

Abstract

This study contributes to the development of a Coupled Level-Set and Volume- Of-Fluid (CLSVOF) method capable of capturing interface between two immiscible fluids in overset grid system. The present CLSVOF interface-capturing method is employed in conjunction with the Finite-Analytical Navier-Stokes (FANS) method for time-domain simulations of violent free surface flow problems.

In this method, immiscible two-phase flow is modeled as a single continuum with variable fluid properties across the interface. The interface is captured by a level set function which is corrected to ensure mass conservation under the framework of a volume of fluid function. The interface is propagated by the evolution of the level set and volume of fluid functions in time. In addition, the conservation equations for mass and momentum are solved in the transformed domain for the dynamics of the fluid flow. Moreover, a chimera domain decomposition approach is implemented using overset grid systems, including embedding, overlapping, and matching grids for accurate resolutions of all varieties of free surface flow problems.