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The Solution of Mild-Slope Equation using Power Series  

Jung, Tae-Hwa (한양대학교 대학원 토목공학과)
Lee, Seung-Oh (홍익대학교 공과대학 건설.도시공학부 토목공학)
Park, Jin-Ho (한양대학교 공과대학 토목공학과)
Cho, Yong-Sik (한양대학교 공과대학 토목공학과)
Publication Information
Journal of the Korean Society of Hazard Mitigation / v.8, no.1, 2008 , pp. 133-138 More about this Journal
Abstract
To analyze incident waves traveling from the deep ocean is very important in that it is based on resolving problems occurred in coastal areas. In general, numerical models and analytical solutions are used to analyze wave transformation. Although a numerical model can be applied to various bottoms and wave conditions, it may have some cumbersome numerical errors. On the other hand, an analytical solution has an advantage of obtaining the solution quickly and accurately without numerical errors. The analytical solution can, however, be utilized only for specific conditions. In this study, the analytical solution of the mild-slope equation has been developed. It can be applied to various conditions combing a numerical technique and an analytical approach while minimizing the numerical errors. As a result of comparing the obtained solutions in this study with those of the previously developed numerical model, A good agreement was observed.
Keywords
Power series; mild-slope equation; analytical approach;
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