Journal of Korean Society of Coastal and Ocean Engineers (한국해안해양공학회지)
- Volume 2 Issue 4
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- Pages.190-199
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- 1990
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- 1017-7116(pISSN)
Determination of Vertical Mode in a Three-layered Open Sea
3층구조 외해역에서의 취역류 연식모드 결정기법
- Jung, Kyung-Tae (Coastal Engineering Laboratory, Korea Ocean Research and Development Institute) ;
- Jin, Jae-Yuoll (Coastal Engineering Laboratory, Korea Ocean Research and Development Institute) ;
- So, Jae-Kwi (Costal Engineering Laboratory, Korea Ocean Research and Development Institute) ;
- John Noye (Department of Applied Mathematics, The University of Adelaide, G.P.O.)
- Published : 1990.12.01
Abstract
The solution for wind drift current in a three-layered open sea region is derived using the Galerkin-Eigenfunction mothod. The presence of discontinuities in the vertical eddy viscosity required a definition of a scalar product which involves the summation of integrals defined over each layer. The expansion of fourth-order B-spline functions is used in determining eigenvalues and corresponding eigenfunctions. In a three-layered system a low value of eddy viscosity is prescribed within the pycnocline to represent the suppression of turburent intensity at the thermocline level. A high concentration of knots within the pycnocline is important in determining eigenfunctions and the associated eigenvalues accurately. Due to the global property of eigenfunctions nonphysical oscillations appear in the current profiles below the surface layer, particularly within the pycnocline.
3층 구조를 갖는 대륙붕 외해역에서의 취역류 예측을 위한 Galerkin 해를 Eigenfunction 전개를 통해 유도하였다. 수심변화를 결정짖는 연식난류확산 계수가 층간에 불연속적으로 변화토록 정의되므로 내적분 정의시 층별적분이 등장한다. Eigenfunction 및 Eigenvalue 산출을 위해 B-spline 함수전개가 이용되는데 정확한 계산을 위해서는 난류활동이 극도로 저하되는 Pycnocline 내에 많은 Knot들을 배정함이 필요한 것으로 나타났다. 비록 Eigenfunction이 층간에 급격한 변화를 가지나 여전히 해수표면부터 해저편간의 전 구간에 걸쳐 정의되는 연속함수이므로 Gibbs 효과에 따른 해의 진동현상이 표층하, 특히 Pycnocline 내에서 출현하였다.
Keywords