Thursday, February 8, 9:30 am in room MTH 3206, University of Maryland,
College Park
Computations of hydrodynamic free surface problems
Dr. Bill Szymczak
Code B44 - Information Sciences and Systems Branch
Naval Surface Warfare Center - Dahlgren Division
White Oak, Maryland
wszymcz@nswc-wo.navy.mil
Examples of hydrodynamic free surface problems include the breaking of
waves at the seashore, the dynamics of underwater explosion bubbles, and
cavitation near propellers or pumps. These phenomena are modeled using a
generalized hydrodynamics theory in which the conservation laws are
subjected to one sided density and pressure constraints. Fractional steps
are taken in the computational method which include a Godunov method for
the convective terms and a finite element method for the variational
inequalities arising from the one sided constraints. Computational
examples and validations on a variety of free surface applications in
both two and three space dimensions will be presented.
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