Twenty-First Symposium on Naval Hydrodynamics (1997) / Chapter Skim
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Analysis of Interactions Between Nonlinear Waves and Bodies by Domain Decomposition
Analysis of Interactions Between Nonlinear Waves and Bodies by Domain Decomposition
Pages 110-119
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From page 110... ...
ABSTRACT The paper extends to the three dimensions a previously described two dimensional finite element analysis of non-linear water waves interacting with bodies. The domain decomposition method is used to divide the computational domain into manageable regions, in each of which the computation is performed independently of the other regions.
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From page 111... ...
The computer code is also verified by the linearized analytical solution for three dimensional standing waves. The relative meets of various domain decomposition schemes are discussed.
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From page 112... ...
on a two dimensional body, that the finite element method has some advantages over the boundary element method in terms of both CPU and memory requirement. The reason is that although the finite element method discretises the fluid domain rather than the boundary alone, the nodes influence each other only when they are physically connected.
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From page 113... ...
The length of the tank is L=Sd and the width is d/2. The fluid domain is discretised by J+1 transverse planes, M+1 longitudinal planes and N+1 horizontal planes.
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4 The velocity potential on the wave maker at z=-.0375 with different meshes ( - analytical — - M=18 —- M=12; ~ M=6)
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In this analysis, the fluid domain is divided by J=200, M=6 and IV=16. Fig.6 gives the wave elevation history on the wave maker and at the centre of the tank.
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From page 116... ...
It can be son that the results agree well with the analytical solution when the amplitude is small. As the amplitude increases, nonlinear effects become more important We now consider the case of a vertical cylinder located at the centre of the tank as shown in Fig.
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The calculation takes about 193 hour CPU on a DECalpha 400 workstation for 1,000 time steps. Due to this extensive CPU demand, no systematical investigations using finer mesh and smaller time steps have been taken regarding the accuracy of the results shown.
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This includes the development of ~ procedure for combining the domain decomposition method with wave absorbing techniques to allow the imposition of appropriate radiation conditions close to the body. The results shown are for the case of a fixed cylinder.
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From page 119... ...
Wu, G.X. ~ Eatock Taylor, R., 1996, "Transient motion of a floating body in steep waves", 11th international Workshop on Water Waves and Floating Bodies, Hamburg, Germany.
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