Mean Drift Loads on Array of Vertical Cylinders in Narrow Tank

The scattering of water waves by an array of circular cylinders in a channel

“…Results for the mean second-order drift force have been computed previously by Williams and Vazquez [12]. They plot graphs of the drift-force, non-dimensionalized by pgadh2/4 and Figure 9 may be directly compared with their Figure 12.…”

“…Kashiwagi also presented results for the realistic case of four truncated cylinders arranged in a square, computed mean second-order drift forces and compared his results with experimental data. Mean drift loads on arrays of two and four cylinders extending throughout the water depth were also considered by Williams and Vazquez [12] using a similar method.…”

“…The use of a more sophisticated Green's function is preferable, though only if a representation can be found that is straightforward to compute. The forms for the fully three-dimensional Green's function used by Kashiwagi [11] and for the two-dimensional case by Williams and Vazquez [12] both have their limitations. In [11] the numerical evaluation of a double integral is required, whilst in [12] the singular part of the Green's function does not appear explicitly, making accurate calculations difficult.…”

“…The forms for the fully three-dimensional Green's function used by Kashiwagi [11] and for the two-dimensional case by Williams and Vazquez [12] both have their limitations. In [11] the numerical evaluation of a double integral is required, whilst in [12] the singular part of the Green's function does not appear explicitly, making accurate calculations difficult. Alternative forms for these fundamental solutions that may provide for more efficient computations have been derived in Linton [13] and Linton and Evans [14], respectively.…”