Journal of Environmental Science International (한국환경과학회지)

The Korean Environmental Sciences Society (한국환경과학회)
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Objective Estimation of Velocity Streamfunction Field with Discretely Sampled Oceanic Data 11: with Application of Least-square Regression Analysis

객관적 분석을 통한 속도 유선함수(streamfunction) 산출 II: 최소자승 회귀분석법의 응용

  • 조광우 (부경대학교 해양산업개발연구소)
  • Published : 1997.10.01
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Abstract

A least-square regression analysis is applied for the estimation of velocity streamfunction field based on discretely sampled current meter data. The coefficients of a streamfuunction that is expanded in terms of trigonometric basis function are obtained by enforcing the horizontal non-divergence of two-dimensional flow field. This method avoids Interpolation and gives a root-mean-square (rms) residual of fit which Includes the divergent part and noisiness of oceanic data. The Implementation of the method Is done by employing a boundary-fitted, curvilinear orthogonal coordinate which facilitates the specification of boundary conditions. An application is successfully made to the Texas-Louisiana shelf using the 32 months current meter data (31 moorings) observed as a part of the Texas-Louisiana Shelf and Transport Processes Study (LATEX). The rms residual of the fitting is relatively small for the shelf, which indicates the field Is Ivell represented by the streamnfunction.

해양의 몇몇 정점에서 관측된 유속자료로부터 속도 유선함수를 최소자승 회귀분석법을 응용하여 산출하였다. 유선함수는 삼각함수의 합으로 표현되며 이들 함수의 상수들은 2차원 유속장의 비발산 부분을 최소화하여 구하였다. 위의 방법은 기존의 방법들이 요구하는 관측치의 보강이 필요치 않으며 관측 및 흐름장의 발산에 기인하는 오차를 계산할 수 있는 장점이 있다. 연안역의 복잡한 해안경계 문제를 쉽게 표현하기 위하여 연안을 경계로 하는 곡선직교좌표를 도입하여 유선함수를 구하였다. 텍사스-루이지아나 대륙붕 순환 및 수송 연구(LATEX)를 위하여 31개 정점에서 관측된 해류계자료를 이용 텍사스-루이지아나 대륙붕상의 속도유선함수를 성공적으로 산출하였다. 위의 해역에서 유선함수 산출오차는 비교적 적게 나타나 유선함수가 표층 유속장을 잘 나타냄을 알 수 있다.

Keywords

References

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