Abstract
The dominant wave loads on large offshore platforms can be analyzed on the basis of linear potential theory. We denote the wave amplitude A, wavelength λ, and wavenumber K = 2π/λ. Typical amplitudes are a few meters, with periods in the range of 8–11 seconds corresponding to wavelengths of 100–200m. In these conditions it is reasonable to use a perturbation expansion based on the assumption K A = O(ε), where ε < < 1. The first-order solution is linear in ε, and higher-order nonlinear effects are proportional to εn where (n = 2,3,…). For platforms with vertical circular columns which intersect the free surface, the column radius a is the most important geometrical length scale. Typical values of a are on the order of 10 meters. The usual theoretical description applies to the ‘diffraction regime’ K a = O(1).
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References
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© 1996 Kluwer Academic Publishers
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Newman, J.N. (1996). Nonlinear Scattering of Long Waves by a Vertical Cylinder. In: Grue, J., Gjevik, B., Weber, J.E. (eds) Waves and Nonlinear Processes in Hydrodynamics. Fluid Mechanics and Its Applications, vol 34. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0253-4_8
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DOI: https://doi.org/10.1007/978-94-009-0253-4_8
Publisher Name: Springer, Dordrecht
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