Interaction Of Water Waves With A Submerged Sphere In The Ocean
Of Finite Depth: Numerical Simulation And Graphical Visualization
Author(s)
M. Rahman, S. Iakovlev
Abstract
Interaction of water waves with a submerged
sphere in the ocean of finite depth: numerical
simulation and graphical visualization
M. Rahman, S. lakovlev
Department of Engineering Mathemtics, DalTech, Dalhousie
University, Halifax, Nova Scotia, Canada
Abstract
The interaction of water waves with a completely submerged spherical
structure in water of finite depth is considered in this paper based on the
first order diffraction theory. The method of multipole expansions is
used to obtain the fluid velocity potential in the form of double series of
the associated Legendre polynomials with the coefficients being
solutions of the infinite set of infinite matrix equations. The truncation
property of the matrices and the convergence of the multipole series
coefficients are investigated for various wavelengths and depths. The
systematic numerical simulation, based on our analytical solution, is
carried out and the fields of the hydrodynamic pressure and fluid
velocity around the structure,
Keywords
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