Numerical simulation of two and three-dimensional viscous free surface flows in partially-filled containers using a surface capturing approach

The Development of a Free Surface Capturing Approach for Multidimensional Free Surface Flows in Closed Containers

“…where the elements of matrix [D v ] involve the viscosity and geometric parameters (see [20] for additional details). The linearization of the body force term is reasonably straightforward, the result being represented as…”

Simulation of three-dimensional incompressible flows with free-surfaces including fluid-structure interaction and microgravity flows

“…This method shall be referred to as the 'surface-fitting' approach in contrast to the 'surface-capturing' approach explained below. Eflfbrts have also been aimed at calculating such flows by solving the governing equations in both fluids (generally a liquid and a gas) and 'capturing' the interface as a density discontinuity [42] .…”

“…but the initial version does not have the capability to account for surface tension effects [42]. Both of these issues are addressed as part of the present research.…”