Double Gyre 모형 해양에서 앙상블 칼만필터를 이용한 자료동화와 쌍둥이 실험들을 통한 민감도 시험
Implementation of the Ensemble Kalman Filter to a Double Gyre Ocean and Sensitivity Test using Twin Experiments
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초록
As a preliminary effort to establish a data assimilative ocean forecasting system, we reviewed algorithm in a real ocean circulation modeling system. To verify the performance of the developed EnKF algorithm, a wind-driven double gyre was established in a rectangular ocean using the Regional Ocean Modeling System (ROMS) and the EnKF algorithm was implemented. In the ideal ocean, sea surface temperature and sea surface height were assimilated. The results showed that the multivariate background error covariance is useful in the EnKF system. We also tested the sensitivity of the EnKF algorithm to the localization and inflation of the background error covariance and the number of ensemble members. In the sensitivity tests, the ensemble spread as well as the root-mean square (RMS) error of the ensemble mean was assessed. The EnKF produces the optimal solution as the ensemble spread approaches the RMS eror of the ensemble mean because the ensembles are well distributed so that they may include the true state. The localization and inflation of the background error covariance increased the ensemble spread while building up well-distributed ensembles. Without the localization of the background error covariance, the ensemblespread tended to decrease continuously over time. In addition, the ensemble spread is proportional to the number of ensemble members. However, it is dificult to increase the ensemble members because of the computational cost.
Abstract
As a preliminary effort to establish a data assimilative ocean forecasting system, we reviewed algorithm in a real ocean circulation modeling system. To verify the performance of the developed EnKF algorithm, a wind-driven double gyre was established in a rectangular ocean using the Regional Ocean Modeling System (ROMS) and the EnKF algorithm was implemented. In the ideal ocean, sea surface temperature and sea surface height were assimilated. The results showed that the multivariate background error covariance is useful in the EnKF system. We also tested the sensitivity of the EnKF algorithm to the localization and inflation of the background error covariance and the number of ensemble members. In the sensitivity tests, the ensemble spread as well as the root-mean square (RMS) error of the ensemble mean was assessed. The EnKF produces the optimal solution as the ensemble spread approaches the RMS eror of the ensemble mean because the ensembles are well distributed so that they may include the true state. The localization and inflation of the background error covariance increased the ensemble spread while building up well-distributed ensembles. Without the localization of the background error covariance, the ensemblespread tended to decrease continuously over time. In addition, the ensemble spread is proportional to the number of ensemble members. However, it is dificult to increase the ensemble members because of the computational cost.
참고문헌 (23)
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