논문 해외 국제전문학술지(SCI급) An analytical solution to the extended mild-slope equation for long waves propagating over an axi-symmetric pit
- 학술지 구분 국제전문학술지(SCI급)
- 게재년월 2007-12
- 저자명 정태화
- 학술지명 Coastal Engineering
- 발행처명 ELSEVIER SCIENCE BV
- 발행국가 해외
- 논문언어 외국어
- 전체저자수 2
홈페이지논문 초록 (Abstract)
An analytic solution to the mild slope equation is derived for waves pro pagating over an axi-symmetric pit located in an otherwise constant dept h region. The water depth inside the pit decreases in proportion to an i nteger power of radial distance from the pit center. The mild slope equa tion in cylindrical coordinates is transformed into ordinary differentia l equations by using the method of separation of variables, and the coef ficients of the equation in radial direction are transformed into explic it forms by using the direct solution for the wave dispersion equation b y Hunt (Hunt, J.N., 1979. Direct solution of wave dispersion equation. J . Waterw., Port, Coast., Ocean Div., Proc. ASCE, 105, 457-459). Finally, the Frobenius series is used to obtain the analytic solution. Due to th e feature of the Hunt’s solution, the present analytic solution is accu rate in shallow and deep waters, while it is less accurate in intermedia te depth waters. The validity of the analytic solution is demonstrated b y comparison with numerical solutions of the hyperbolic mild slope equat ions. The analytic solution is also used to examine the effects of the p it geometry and relative depth on wave transformation. Finally, wave att enuation in the region over the pit is discussed.