摘要
The higher-order boundary element method is applied to the numerical simulation of nonlinear waves radiated by a forced oscillating fully submerged vertical circular cylinder. In this time-domain approach, the mixed boundary value problem based on an Eulerian description at each time step is solved using the higher order boundary element method. The 4th-order Runge–Kutta scheme is adopted to update the free water surface boundary conditions expressed in a Lagrangian formulation. Following completion of the numerical model, the problems of radiation(heave) of water waves by a submerged sphere in finite depth are simulated and the computed results are verified against the published numerical results in order to ensure the effectiveness of the model. The validated numerical model is then applied to simulate the nonlinear wave radiation by a fully submerged vertical circular cylinder undergoing various forced sinusoidal motion in otherwise still conditions. The numerical results are obtained for a series of wave radiation problems; the completely submerged cylinder is placed in surging, heaving and combined heave-pitching motions with different drafts, amplitudes and frequencies. The corresponding numerical results of the cylinder motions, wave profiles, and hydrodynamic forces are then compared and explained for all the cases.
The higher-order boundary element method is applied tothe numerical simulation of nonlinear waves radiated by a forcedoscillating fully submerged vertical circular cylinder. In thistime-domain approach, the mixed boundary value problem basedon an Eulerian deseription at each time step is solved using thehigher order boundary element method. The 4th-order Runge Kuttascheme is adopted to update the free water surface boundaryconditions expressed in a Lagrangian formulation. Followingcompletion of the numerical model, the problems of radiation（heave） of water waves by a submerged sphere in finite depth aresimulated and the computed results are verified against thepublished numerical results in order to ensure the effectiveness ofthe model. The validated numerical model is then applied tosimulate the nonlinear wave radiation by a fully submerged verticalcircular cylinder undergoing various forced sinusoidal motion inotherwise still conditions. The numerical results are obtained for aseries of wave radiation problems; the completely submergedcylinder is placed in surging, heaving and combined heave-pitchingmotions with different drafts, amplitudes and frequencies. Thecorresponding numerical results of the cylinder motions, waveprofiles, and hydrodynamic forces are then compared and explainedfor all the cases.
