1. Introduction 2. Mathematical description of oscillations 3. Interaction between oscillations and waves 4. Gravity waves on water 5. Wave-body interactions 6. Wave-energy absorption by oscillating bodies 7. Wave interactions with oscillating water columns Bibliography Index.

https://assets.cambridge.org/97805217/82111/copyright/9780521782111_copyright.pdf

Ocean waves and oscillating systems : linear interactions including wave-energy extraction

Oscillating-water-column wave energy converters and air turbines: A review

This paper deals with three-dimensional water-wave diffraction and radiation by a structure consisting of a number of separate (vertically) non-overlapping members in the context of linearised potential flow. An interaction theory is developed which solves the complete problem, predicting wave exciting forces, hydrodynamic coefficients and second-order drift forces, but is based algebraically on the diffraction characteristics of single members only. This method, which includes also the diffraction interaction of evanescent waves, is in principle exact (within the context of linearised theory) for otherwise arbitrary configurations and spacings. This is confirmed by a number of numerical examples and comparisons involving two or four axisymmetric legs, where full three-dimensional diffraction calculations for the entire structures are also performed using a hybrid element method. To demonstrate the efficacy of the interaction theory, it is applied to an array of 33 (3 by 11) composite cylindrical legs, where experimental data are available. The comparison with measurements shows reasonable agreement. The present method is valid for a large class of arrays of arbitrary individual geometries, number and configuration of bodies with non-intersecting vertical projections. Its application should make it unnecessary to perform full diffraction computations for many multiple-member structures and arrays.

https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112086000101

Interactions among multiple three-dimensional bodies in water waves: an exact algebraic method

The scattering of water waves by an array of N bottom-mounted vertical circular cylinders is solved exactly (under the assumption of linear water wave theory) using the method proposed by Spring & Monkmeyer in 1974. A major simplification to this theory has been found which makes the evaluation of quantities such as the forces on the cylinders much simpler. New formulae are given for the first and mean second-order forces together with one for the free-surface elevation in the vicinity of a particular cylinder. Comparisons are made between the exact results shown here and those generated using the approximate method of McIver & Evans (1984). The behaviour of the forces on the bodies in the long-wave limit is also examined for the special case of two cylinders with equal radii.

https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112090002750

The interaction of waves with arrays of vertical circular cylinders

Hydrodynamic characteristics of an oscillating water column device

Approximation of wave forces on cylinder arrays

Surface wave interactions with systems of oscillating bodies and pressure distributions

Added mass and damping of a sphere section in heave

A linear hydrodynamical theory for a system of oscillating bodies and oscillating water columns (OWCs) is described and illustrated by considering a system of one OWC and one body oscillating in a single mode only. A theoretical relationship between added mass and the energy of the near field motion is generalised to include OWCs. Numerical results are given for a two-dimensional example where the structure oscillates in the surge mode.

P. McIver

Papers

Approximation of wave forces on cylinder arrays

Surface wave interactions with systems of oscillating bodies and pressure distributions

Added mass and damping of a sphere section in heave

Wave Interaction with Oscillating Bodies and Water Columns