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Wave Characteristics
Published in Ronald C. Chaney, Marine Geology and Geotechnology of the South China Sea and Taiwan Strait, 2020
A simple theory of wave motion, known as the Airy wave theory, was developed by G.B. Airy in 1842. This theory assumes a sinusoidal wave form whose height H is small in comparison with the wave length λ and the water depth h (Figure 4.3). The theory is useful for preliminary calculations and for illustrating the basic characteristics of wave-induced water motion. It also serves as a basis for the statistical representation of waves and the induced water motion during storm conditions.
A higher-order coupling model of the blades of the floating offshore wind turbine
Published in C. Guedes Soares, Y. Garbatov, Progress in the Analysis and Design of Marine Structures, 2017
– Hydrodynamics (Ma & Hu, 2015): Airy wave theory is used to calculate the wave kinematics, and the potential theory and Morison’s equation are applied to calculate hydrodynamic loads in the code. The linear hydrostatics, wave exciting forces, and radiation coefficients are obtained from the three-dimensional frequency-domain potential-flow numerical procedure, WAMIT, and then hydrodynamic loads in time-domain are generated by DARwind.
Wave theory
Published in Dominic Reeve, Andrew Chadwick, Christopher Fleming, Coastal Engineering, 2018
Dominic Reeve, Andrew Chadwick, Christopher Fleming
The earliest mathematical description of periodic progressive waves is that attributed to Airy in 1845. Airy wave theory is strictly only applicable to conditions in which the wave height is small compared to the wavelength and the water depth. It is commonly referred to as linear or first order wave theory because of the simplifying assumptions made in its derivation.
Effects of the current-wave interaction on a cylinder platform
Published in Ships and Offshore Structures, 2023
Da Li, Wenyang Duan, Longwei Huang, Wenyue Lu, Xiantao Zhang, Xin Li, Jianhong Zhang
The most widely used model for regular wave–current interaction is based on the Airy wave theory. Validated analytical models exist for offshore structure design with wave–current interactions in the regime of linear waves on uniform currents (Haritos 1992; Ismail 1984). For irregular waves, Wichers (1988), for example, produced a comprehensive study for numerical simulations of a turret-moored FPSO in irregular waves with winds and currents. He derived the motions equation of such a model in the time domain using an uncoupled method and, separately, solved the rigid-body and mooring-line dynamics. Other researchers (Lee and ChoJ 2000; Sphaier et al. 2000) investigated the behaviour and stability of turret-moored FPSOs based on a set of simplified ship-maneuvering equations.
Modelling the motion of a dropped cylinder under 3D second-order regular waves and identification of the governing parameters
Published in Ships and Offshore Structures, 2020
The kinematic wave models used in offshore engineering are usually approximated with the classical linear (Airy) wave theory. However, the Airy wave model only describes wave kinematics up to the mean sea level. Based on deepwater experience from the offshore engineering, this traditional approach is accurate enough to calculate the case that wave amplitude is small concerning water depth, but kinematics magnitudes are likely to be underestimated in shallow water.