Elliptic Numerical Wave Model Solving Modified Mild Slope Equation

J. Ocean Eng. Technol. 2004;18(4):40-45.

YOON JONG-TAE;

Department of Civil Engineering, Kyungsung University;

수정완경사방정식의 타원형 수치모형

윤종태;

경성대학교 토목공학과;

Keywords: Modified Mild Slope Equation, Generalized Conjugate Gradient Method, Wave Transformation, Higher Order Bottom Effect, Iterative Technique

핵심용어: 수정완경사방정식, 일반 공액경사법, 파랑변형, 고차 저면효과, 반복기법

Abstract

An efficient numerical model of the modified mild slope equation, based on the robust iterative method is presented. The model developed is verified against other numerical experimental results, related to wave reflection from an arc-shaped bar and wave transformation over a circular shoal. The results show that the modified mild slope equation model is capable of producing accurate results for wave propagation in a region where water depth varies substantially, while the conventional mild slope equation model yeilds large errors, as the mild slope assumption is violated.