Steady Wave Drift Force On Basic Objects
Of Symmetry
Author(s)
S. Chakrabarti & A. Gupta
Abstract
The steady wave drift force on a submerged body is a second-order quantity.
With a potential flow assumption, the force arises from the diffraction and
radiation of the waves from the interaction with the body. For a fixed body in
waves the steady force is contributed from the wave diffraction effect alone.
Numerical solutions are generally needed for the computation of the steady drift
force on submerged structures. In this paper the steady wave drift forces on
several fixed bodies of basic shapes are derived in closed form. The paper
addresses the steady drift forces on the following basic structures: a vertical
circular cylinder, a submerged horizontal cylinder, a bottom-seated horizontal
half cylinder, and a bottom-seated hemisphere. The results developed
demonstrate the importance of various independent non-dimensional parameters.
A numerical program based on linear diffraction/radiation theory is used to
validate the closed form solution.
Keywords: basic objects of symmetry, closed form solution, design curves,
steady drift force, wave structure interaction.
1 Introduction
The linear wave forces on a large structure are computed from the linear
diffraction theory based on the (Bernoulli’s) linear pressure term in its
equilibrium position up to the still water level. However, the structure motion,
wave free surface, and the (Bernoulli’s) nonlinear pressure terms introduce
nonlinear forces on the structure not predictable by the linear theory. The steady
wave drift force has been shown to derive from the first order wave potential.
The 3-D diffraction/radiation theory is well established to compute these forces.
Keywords
basic objects of symmetry, closed form solution, design curves,
steady drift force, wave structure interaction.
Related Book
Other papers in this volume
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