An adjoint sensitivity-based data assimilation method and its comparison with existing variational methods

An adjoint sensitivity-based data assimilation (ASDA) method is proposed and applied to a heavy rainfall case over the Korean Peninsula. The heavy rainfall case, which occurred on 26 July 2006, caused torrential rainfall over the central part of the Korean Peninsula. The mesoscale convective system...

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Main Authors: Yonghan Choi, Gyu-HO Lim, Dong-Kyou Lee, Xiang-Yu Huang
Format: Article
Language:English
Published: Stockholm University Press 2014-01-01
Series:Tellus: Series A, Dynamic Meteorology and Oceanography
Subjects:
Online Access:http://www.tellusa.net/index.php/tellusa/article/download/21584/pdf_1
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author Yonghan Choi
Gyu-HO Lim
Dong-Kyou Lee
Xiang-Yu Huang
author_facet Yonghan Choi
Gyu-HO Lim
Dong-Kyou Lee
Xiang-Yu Huang
author_sort Yonghan Choi
collection DOAJ
description An adjoint sensitivity-based data assimilation (ASDA) method is proposed and applied to a heavy rainfall case over the Korean Peninsula. The heavy rainfall case, which occurred on 26 July 2006, caused torrential rainfall over the central part of the Korean Peninsula. The mesoscale convective system (MCS) related to the heavy rainfall was classified as training line/adjoining stratiform (TL/AS)-type for the earlier period, and back building (BB)-type for the later period. In the ASDA method, an adjoint model is run backwards with forecast-error gradient as input, and the adjoint sensitivity of the forecast error to the initial condition is scaled by an optimal scaling factor. The optimal scaling factor is determined by minimising the observational cost function of the four-dimensional variational (4D-Var) method, and the scaled sensitivity is added to the original first guess. Finally, the observations at the analysis time are assimilated using a 3D-Var method with the improved first guess. The simulated rainfall distribution is shifted northeastward compared to the observations when no radar data are assimilated or when radar data are assimilated using the 3D-Var method. The rainfall forecasts are improved when radar data are assimilated using the 4D-Var or ASDA method. Simulated atmospheric fields such as horizontal winds, temperature, and water vapour mixing ratio are also improved via the 4D-Var or ASDA method. Due to the improvement in the analysis, subsequent forecasts appropriately simulate the observed features of the TL/AS- and BB-type MCSs and the corresponding heavy rainfall. The computational cost associated with the ASDA method is significantly lower than that of the 4D-Var method.
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spelling doaj.art-8b0a1ace327a4814ab54ff8477c1191b2022-12-22T02:57:02ZengStockholm University PressTellus: Series A, Dynamic Meteorology and Oceanography0280-64951600-08702014-01-0166011810.3402/tellusa.v66.2158421584An adjoint sensitivity-based data assimilation method and its comparison with existing variational methodsYonghan Choi0Gyu-HO Lim1Dong-Kyou Lee2Xiang-Yu Huang3School of Earth and Environmental Sciences, Seoul National University, Seoul, KoreaSchool of Earth and Environmental Sciences, Seoul National University, Seoul, KoreaSchool of Earth and Environmental Sciences, Seoul National University, Seoul, KoreaNational Center for Atmospheric Research, Boulder, CO, USAAn adjoint sensitivity-based data assimilation (ASDA) method is proposed and applied to a heavy rainfall case over the Korean Peninsula. The heavy rainfall case, which occurred on 26 July 2006, caused torrential rainfall over the central part of the Korean Peninsula. The mesoscale convective system (MCS) related to the heavy rainfall was classified as training line/adjoining stratiform (TL/AS)-type for the earlier period, and back building (BB)-type for the later period. In the ASDA method, an adjoint model is run backwards with forecast-error gradient as input, and the adjoint sensitivity of the forecast error to the initial condition is scaled by an optimal scaling factor. The optimal scaling factor is determined by minimising the observational cost function of the four-dimensional variational (4D-Var) method, and the scaled sensitivity is added to the original first guess. Finally, the observations at the analysis time are assimilated using a 3D-Var method with the improved first guess. The simulated rainfall distribution is shifted northeastward compared to the observations when no radar data are assimilated or when radar data are assimilated using the 3D-Var method. The rainfall forecasts are improved when radar data are assimilated using the 4D-Var or ASDA method. Simulated atmospheric fields such as horizontal winds, temperature, and water vapour mixing ratio are also improved via the 4D-Var or ASDA method. Due to the improvement in the analysis, subsequent forecasts appropriately simulate the observed features of the TL/AS- and BB-type MCSs and the corresponding heavy rainfall. The computational cost associated with the ASDA method is significantly lower than that of the 4D-Var method.www.tellusa.net/index.php/tellusa/article/download/21584/pdf_1ASDA method4D-Varradar dataheavy rainfallMCS
spellingShingle Yonghan Choi
Gyu-HO Lim
Dong-Kyou Lee
Xiang-Yu Huang
An adjoint sensitivity-based data assimilation method and its comparison with existing variational methods
Tellus: Series A, Dynamic Meteorology and Oceanography
ASDA method
4D-Var
radar data
heavy rainfall
MCS
title An adjoint sensitivity-based data assimilation method and its comparison with existing variational methods
title_full An adjoint sensitivity-based data assimilation method and its comparison with existing variational methods
title_fullStr An adjoint sensitivity-based data assimilation method and its comparison with existing variational methods
title_full_unstemmed An adjoint sensitivity-based data assimilation method and its comparison with existing variational methods
title_short An adjoint sensitivity-based data assimilation method and its comparison with existing variational methods
title_sort adjoint sensitivity based data assimilation method and its comparison with existing variational methods
topic ASDA method
4D-Var
radar data
heavy rainfall
MCS
url http://www.tellusa.net/index.php/tellusa/article/download/21584/pdf_1
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