Second-Order Diffraction Forces on an Array of Vertical Cylinders in Bichromatic Bidirectional Waves

Abstract

A complete second-order solution is presented for the hydrodynamic forces due to the action of bichromatic, bidirectional waves on an array of bottom-mounted, surface-piercing cylinders of arbitrary cross section in water of uniform finite depth. Based on the constant structural cross section, the first-order problem is solved utilizing a two-dimensional Green function approach, while an assisting radiation potential approach is used to obtain the hydrodynamic loads due to the second-order potential. Results are presented which illustrate the influence of wave directionality on the second-order sum and difference frequency hydrodynamic forces on a two-cylinder array. It is found that wave directionality may have a significant influence on the second-order hydrodynamic forces on these arrays and that the assumption of unidirectional waves does not always lead to conservative estimates of the second-order loading.

Second-order wave run-up on a vertical cylinder adjacent to a plane wall based on the application of quadratic transfer function in bi-directional waves

“…From Fig. 3, it is found that the present results are in good 347 agreement with those of the study by Vazquez (1995). In addition, even though the 348 mesh in the first case is much coarser than that in the second case, the two test cases 349 provide almost the same results, which indicates that convergence is achieved.…”