A Study on the Extension of Mild Slope Equation

J. Ocean Eng. Technol. 2004;18(2):18-24.

완경사 방정식의 확장에 관한 연구

천제호,김재중,윤항묵

동아대학교 대학원 해양공학과,동아대학교 토목ㆍ해양공학,동의대학교 토목ㆍ도시공학부

Keywords: Mild-Slope Equation, Nonlinear Waves, Rapidly Varying Topography, Nonlinear Mild-Slope Equation, Modified Mild-Slope Equation

핵심용어: 완경사방정식, 비선형 파랑, 급변 경사 수심, 비선형완경사방정식, 수정완경사 방정식

Abstract

In this study, the Mild slope equation is extended to both rapidly varying topography and nonlinear waves, using the Hamiltonian principle. It is shown that this equation is equivalent to the modified mild-slope equation (Kirby and Misra, 1998) for small amplitude wave, and it is the same form with the nonlinear mild-slope equation (Isobe, 1994) for slowly varying bottom topography. Comparing its numerical solutions with the results of some hydraulic experiments, there is good agreement between them.