Free Surface Flows
Presentation
Analytical treatment of free surfaces and interfaces is an issue of
major importance in the many of the fundamental and practical fluid
mechanics problem. The mathematical description of fluid interface
transport involves the solution of the governing equations of motion on
the fluid domain, part of which includes interfaces. The exact locations
of these interfaces are not known a priori and must be determined as
part of the solution of the transport equations.
There are variety of numerical methods for treating fluid problems with
interfaces like boundary-integral technique, finite-element methods,
Lagrangian methods, and the volume tracking methods. These latter
methods have the potential for handling large surface deformations and
surface folding and merging. The volume tracking methods use a
volumetric progress variable such as the cell volume fraction
in the volume of fluid (VOF) technique. The VOF technique involves
Eulerian flow-field calculations and Lagrangian liquid-particle
movements.
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