抄録
A boundary element method using nonlinear potential theory has been developed for analyzing cnoidal wave run-up on a plane with a constant inclination angle. The validity of the method is confirmed by comparing the numerical results with experimental data. Because of the wave nonlinear effect, the linear solution given by Shuto predicts a much smaller magnitude of wave run-up. In addition, the applicability of Takada's formula, which takes the wave nonlinearity into consideration, is investigated by comparing the results obtained from the formula with those of the boundary element analysis. It is found that Takada's formula does not yield a good approximation for the run-up height of a cnoidal wave.