A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary Tests

Abstract A four‐dimensional ensemble‐variational (4DEnVar) data assimilation (DA) system was developed based on the global forecast system of the Global/Regional Assimilation and Prediction System (GRAPES‐GFS). Instead of using the adjoint technique, this system utilizes a dimension‐reduced projecti...

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Main Authors: Shujun Zhu, Bin Wang, Lin Zhang, Juanjuan Liu, Yongzhu Liu, Jiandong Gong, Shiming Xu, Yong Wang, Wenyu Huang, Li Liu, Yujun He, Xiangjun Wu
Format: Article
Language:English
Published: American Geophysical Union (AGU) 2022-07-01
Series:Journal of Advances in Modeling Earth Systems
Subjects:
Online Access:https://doi.org/10.1029/2021MS002737
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author Shujun Zhu
Bin Wang
Lin Zhang
Juanjuan Liu
Yongzhu Liu
Jiandong Gong
Shiming Xu
Yong Wang
Wenyu Huang
Li Liu
Yujun He
Xiangjun Wu
author_facet Shujun Zhu
Bin Wang
Lin Zhang
Juanjuan Liu
Yongzhu Liu
Jiandong Gong
Shiming Xu
Yong Wang
Wenyu Huang
Li Liu
Yujun He
Xiangjun Wu
author_sort Shujun Zhu
collection DOAJ
description Abstract A four‐dimensional ensemble‐variational (4DEnVar) data assimilation (DA) system was developed based on the global forecast system of the Global/Regional Assimilation and Prediction System (GRAPES‐GFS). Instead of using the adjoint technique, this system utilizes a dimension‐reduced projection (DRP) technique to minimize the cost function of the standard four‐dimensional variational (4DVar) DA. It dynamically predicts ensemble background error covariance (BEC) and realizes the explicit flow‐dependence of BEC in the variational configuration. An inflation technique based on a linear combination of analysis increments and balanced random perturbations, is utilized to overcome the problem of underestimation of BEC matrix (B‐matrix) during the assimilation cycle. To mitigate the spurious correlations in the ensemble B‐matrix caused by the insufficient ensemble members, an ensemble‐sample‐based subspace localization method is utilized. In order to evaluate the new system, single‐point observation experiments (SOEs) and observing system simulation experiments (OSSEs) were conducted with sounding and cloud‐derived wind data based on GRAPES‐GFS. The explicit flow‐dependent characteristic of the 4DEnVar system using a localized ensemble covariance was verified in the SOEs. In the OSSEs, the ensemble mean analysis of 4DEnVar outperforms the analysis of 4DVar. The deterministic forecast initialized from the 4DEnVar ensemble mean analysis has better performance in the short‐range forecasts, better (worse) performance in the early (late) period of the medium‐range forecasts in the Northern Extratropics, and opposite performance in the Southern Extratropics, and exhibits slightly worse effects in the Tropics. Moreover, the ensemble mean forecast initialized by the 4DEnVar system has higher forecast skills.
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spelling doaj.art-96f434fa312a4a15b4c93e27f481cc212022-12-22T01:38:05ZengAmerican Geophysical Union (AGU)Journal of Advances in Modeling Earth Systems1942-24662022-07-01147n/an/a10.1029/2021MS002737A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary TestsShujun Zhu0Bin Wang1Lin Zhang2Juanjuan Liu3Yongzhu Liu4Jiandong Gong5Shiming Xu6Yong Wang7Wenyu Huang8Li Liu9Yujun He10Xiangjun Wu11Department of Earth System Science Tsinghua University Beijing ChinaDepartment of Earth System Science Tsinghua University Beijing ChinaCMA Earth System Modeling and Prediction Centre China Meteorological Administration Beijing ChinaState Key Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics Institute of Atmospheric Physics Chinese Academy of Sciences Beijing ChinaCMA Earth System Modeling and Prediction Centre China Meteorological Administration Beijing ChinaCMA Earth System Modeling and Prediction Centre China Meteorological Administration Beijing ChinaDepartment of Earth System Science Tsinghua University Beijing ChinaDepartment of Earth System Science Tsinghua University Beijing ChinaDepartment of Earth System Science Tsinghua University Beijing ChinaDepartment of Earth System Science Tsinghua University Beijing ChinaState Key Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics Institute of Atmospheric Physics Chinese Academy of Sciences Beijing ChinaCMA Earth System Modeling and Prediction Centre China Meteorological Administration Beijing ChinaAbstract A four‐dimensional ensemble‐variational (4DEnVar) data assimilation (DA) system was developed based on the global forecast system of the Global/Regional Assimilation and Prediction System (GRAPES‐GFS). Instead of using the adjoint technique, this system utilizes a dimension‐reduced projection (DRP) technique to minimize the cost function of the standard four‐dimensional variational (4DVar) DA. It dynamically predicts ensemble background error covariance (BEC) and realizes the explicit flow‐dependence of BEC in the variational configuration. An inflation technique based on a linear combination of analysis increments and balanced random perturbations, is utilized to overcome the problem of underestimation of BEC matrix (B‐matrix) during the assimilation cycle. To mitigate the spurious correlations in the ensemble B‐matrix caused by the insufficient ensemble members, an ensemble‐sample‐based subspace localization method is utilized. In order to evaluate the new system, single‐point observation experiments (SOEs) and observing system simulation experiments (OSSEs) were conducted with sounding and cloud‐derived wind data based on GRAPES‐GFS. The explicit flow‐dependent characteristic of the 4DEnVar system using a localized ensemble covariance was verified in the SOEs. In the OSSEs, the ensemble mean analysis of 4DEnVar outperforms the analysis of 4DVar. The deterministic forecast initialized from the 4DEnVar ensemble mean analysis has better performance in the short‐range forecasts, better (worse) performance in the early (late) period of the medium‐range forecasts in the Northern Extratropics, and opposite performance in the Southern Extratropics, and exhibits slightly worse effects in the Tropics. Moreover, the ensemble mean forecast initialized by the 4DEnVar system has higher forecast skills.https://doi.org/10.1029/2021MS002737four‐dimensional ensemble‐variational data assimilationDRP‐4DVarGRAPES‐GFSflow‐dependent
spellingShingle Shujun Zhu
Bin Wang
Lin Zhang
Juanjuan Liu
Yongzhu Liu
Jiandong Gong
Shiming Xu
Yong Wang
Wenyu Huang
Li Liu
Yujun He
Xiangjun Wu
A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary Tests
Journal of Advances in Modeling Earth Systems
four‐dimensional ensemble‐variational data assimilation
DRP‐4DVar
GRAPES‐GFS
flow‐dependent
title A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary Tests
title_full A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary Tests
title_fullStr A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary Tests
title_full_unstemmed A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary Tests
title_short A Four‐Dimensional Ensemble‐Variational (4DEnVar) Data Assimilation System Based on GRAPES‐GFS: System Description and Primary Tests
title_sort four dimensional ensemble variational 4denvar data assimilation system based on grapes gfs system description and primary tests
topic four‐dimensional ensemble‐variational data assimilation
DRP‐4DVar
GRAPES‐GFS
flow‐dependent
url https://doi.org/10.1029/2021MS002737
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