Abstract
The interface capturing method of incompressible two-phase flow (including single-phase flow) with surface tension without mass transfer is presented. The interface between the two phases is tracked with the level set function, which can be advected with a background flow field propagating the interface exactly as the zero level set. It maintains the property of a distance function indicating the shortest distance to the interface. The level set and Navier-Stokes equations are solved on the fixed Cartesian staggered grid by a finite difference method. Moreover, a high order numerical scheme is applied for these governing equations to reduce numerical instability and excessive mass loss. In this paper, it is emphasized to derive the numerical implementation of these equations from the standpoint of practicality. The basic software is programmed in Java and some numerical examples are analyzed.
