Extended Mild-Slope Equation in Terms of Stream Function
Changhoon Lee; 김건우
In this study we developed the extended mild-slope equation in terms of the stream function using the Green’s second identity and compared to Kim and Bai’s (2004) equation which was developed by the Hamilton’s principle. For waves over a planar slope, a parabolic mound and an undulating bottom, we compared reflection coefficients by the developed equation, Kim and Bai’s equation,mild-slope equation in terms of the stream function against an exact solution or experimental data. The present equation gave most accurate solutions, whereas the mild-slope equation failed to predict the reflection coefficients in whole range of water depth. Kim and Bai’s equation overestimated the reflection coefficients for very steep slopes.