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Probability distribution of random wave forces in weakly nonlinear random waves

โœ Scribed by Jin-Bao Song; Yong-Hong Wu; B. Wiwatanapataphee

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
110 KB
Volume
27
Category
Article
ISSN
0029-8018

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โœฆ Synopsis

Based on the second-order random wave theory, the joint statistical distribution of the horizontal velocity and acceleration is derived using the characteristic function expansion method. From the joint distribution and the Morison equation, the theoretical distributions of drag forces, inertia forces and total random wave forces are determined. The distribution of inertia forces is Gaussian as that derived using the linear wave model, whereas the distributions of drag forces and total random forces deviate slightly from those derived utilizing the linear wave model. It is found that the distribution of wave forces depends solely on the frequency spectrum of sea waves associated with the first order approximation and the second order wave-wave interaction.

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