Non-Linear Hydrodynamic Forces acting on Two-Dimensional Bodies (2nd Report, Radiation Problem)

Abstract

The second-order potentials, pressures and forces are calculated by the Boundary Integral Equation Method, which was proposed in previous report (1), in two-dimensional radiation problems.The second-order forces are decomposed into each non-linear terms and the quantitative comparison is made and dismissed. The experiments in forced heave and sway motions are carried out and compared with the calculations.Results obtained are as follows : (1) The numerical results by the present method agree fairly well with existing results and experimental results in first and second-order radiation problems.(2) In radiation problems, the non-linearity of the body-boundary condition is dominant and the second-order forces are nearly proportional to the wave-number of the motion.(3) Total second-order forces show good coincidence with the experimental results.