Non‐linear interaction of water waves with submerged obstacles

摘要

AbstractThe interaction of two‐dimensional water waves with a fixed submerged cylinder is studied using a finite difference scheme with boundary‐fitted co‐ordinates. A mixed Eulerian–Lagrangian (MEL) formulation is used to satisfy the fully non‐linear free surface conditions. The diffraction of small‐amplitude water waves by a cylinder is examined for various wavelengths and amplitudes of the incident wave. Fourier analyses of the incident and diffracted waves are performed to determine their spectra. An example of a large‐amplitude wave breaking over a cylinder is also studied. The non‐linear numerical solutions are compared with those of experiments and linear theory wh