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A Finite Amplitude Steady Ship Motion Model
Pages 322-332

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From page 322...
... If interactions between the surface gravity waves and between the surface waves and ship waves, which have been neglected in the weakly nonlinear studies, are included, nonlinearity becomes even more important for seakeeping. Since nonlinear wave-wave interactions increase significantly as water depth decreases, they can be even more dominant in coastal regions.
From page 323...
... The benchmark results are given in Section 3. Our new nonlinear ship motion results are shown in Section 4, and conclusion are given in Section 5.
From page 324...
... Instead of periodic boundary conditions used in our surface wave-wave interaction model (tin and Kuang, 2002) , we introduce an open boundary condition for the far field flow, permitting both incoming arid outgoing waves across the boundaries (but the total flux is conserved)
From page 325...
... In our initial studies, the environmental surface gravity waves are obtained from our new wave model (tin and Kuang, 2002) or standard spectrum (Hasselmann and Hasselmann, 19811.
From page 326...
... Therefore, the difference between the red and blue lines represents the external surface waves true effect on the ship waves. From the figure we can observe significant differences between two kinds of wave profiles, indicating strong effects of surface gravity waves on ship wave patterns (and on ship motion)
From page 327...
... and our new filly nonlinear ship motion model, we are able to study the interactions between the ship body and the surface gravity waves. The linear results by the new model agree very well with previous results by Green function (Yang et al., 2000~.
From page 328...
... , , Lin, R.-Q. and Kuang, W., "Nonlinear Wave-wave Interactions of Finite Amplitude Gravity wave in a Global Statistic Spectrum Wave Model in Finite Water Depth", submitted to Journal of Fluid Mechanics.
From page 329...
... Lee requests that we consider the nonlinear effects resulting from the symmetric propagation of one-dimensional environmental waves parallel to the motion of a ship. Nonlinear ship and environmental surface wave interactions depend on the water depth and wave numbers, amplitudes, and propagation directions.
From page 330...
... Lee requests that we consider the nonlinear effects resulting from the symmetric propagation of one-dimensional environmental waves parallel to the motion of a ship. Nonlinear ship and environmental surface wave interactions depend on the water depth and wave numbers, amplitudes, and propagation directions.
From page 331...
... However, it seems more likely that the cause of the changes in the wave profiles along the ship while it is in incident waves is wave diffraction the presence of the ship diffracts the incident waves, such effects become more significant as the wave lengths become shorter. These are exactly the same conditions/situations under which wavewave interactions become more significant.
From page 332...
... Qua of ~2 0.1 C atl.1 -02 -0.3 -0.5 D`5 0,4 03 ~2 O.t ~1 ~.3 Hi' .5 -0.5 MIX Figure ~ °51 OAT 03 Neal O ~ ~ Figure 4.


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