An Independent Geometry Modelling Method
In Wave-body Interactions
Author(s)
S. H. Mousavizadegan & M. Rahman
Abstract
A numerical technique based on the boundary integral equation method is developed
for the prediction of wave effects on marine structures. The exact geometry,
which is expressed explicitly or implicitly, can be applied in the computation of
body surface characteristics. This capability makes the method geometry modelling
independent. The Gaussian quadrature formulas are applied directly to solve
the boundary integral equations. There is no need to approximate the velocity
potential distributions around the body surface and its orders correspond to the
number of Gaussian points. This implies that the method is a higher-order method
with an arbitrary degree. Several applications of the method are presented and
compared with the available analytical results. The method is accurate, simple to
implement and efficient in time and memory.
1 Introduction
Marine structures (Offshore structures and oceangoing ships) are usually designed
to operate in a wave environment. Structural loading of the body surface under
the water and the unsteady motions are two of the principal problems that result.
When the characteristic body dimension is comparable to the wave length, the
potential effects are dominated. The presence of the body alters the pattern of
wave propagation in the vicinity of the structure and cause scattering of waves.
The body may also oscillate and radiate waves if the constraints are not sufficiently
rigid. Hence, it experiences reacting forces from the surrounding fluid and the constraints.
Since analytical solutions can be obtained for a few special geometries,
the numerical solutions of the Laplace equation with the associated boundary
conditions are imperative. The boundary integral equation methods are known as
Keywords
Related Book
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