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Computational Free-Surface Flows. Edition No. 1

VDM Publishing House, Oct 2008, Pages: 88


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Flow problems with free and moving boundaries are
encountered in many engineering applications. Flow
in dams, pollutant transport in unconfined aquifers,
viscous flow on the ocean free surface, molten metal
flows, casting, sloshing in tanks, oil recovery, and
open channel flows are examples in this category. In
modeling steady and unsteady flow with viscous fluid
interfaces, the location of the interface is also a
part of the overall solution and needs to be
determined. Accurate representation of the interface
is one of the major challenges in simulation of this
class of fluid dynamics problems, particularly when
the flow has nonlinear characteristics. The finite
element method (FEM), based on an approximation of
field variables over a finite element mesh, has
turned out to be one of the major numerical
techniques for handling these types of problems. The
FE numerical model in this book is formulated using
an interface-capturing technique. The adopted
interface-capturing technique is based on an
algorithm derived from the level set method (LSM),
and the Eulerian framework constitutes the main
basis of the formulations.



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