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Method of continuous data assimilation using short-term 4D-VAR analysis

dc.contributor.authorYang, Shuowen, author
dc.contributor.authorCotton, William R., author
dc.date.accessioned2022-03-04T15:52:13Z
dc.date.available2022-03-04T15:52:13Z
dc.date.issued1998-06-30
dc.descriptionJune 30, 1998.
dc.description.abstractA continuous data assimilation method based on short-term four-dimensional variational data assimilation (4D-Var) is proposed. This method consists of forecast and analysis steps. The analysis increment (analyzed value minus forecasted value) is assumed to be proportional to the gradient of a cost function, which measures the misfit between model prediction and observations over a period of time. The gradient of the cost function is calculated with the adjoint method and is updated cyclically. This technique is a kind of retrospective analysis and can continuously assimilate data in an infinite time period. Different forecast model versions (or models) can be used in the forecast and analysis steps. A two-dimensional shallow-water system with horizontal diffusion, Rayleigh friction and external forcing is used to test the proposed method through identical-twin numerical experiments. The control run represents a typical mesoscale case with energy cascaded in two ways (upscale and downscale). The influence of model error and resolution of the analysis grid on the assimilated results is examined. Results show that when model error is small or moderate, the assimilated wind and geopotential fields correlate well with the true fields. When model error is large, the proposed method can still recover a large portion of small-scale motions which are not resolved by observations. Model error can lead to the generation of spurious small-scale gravity waves because of the inconsistency between model and observations. Numerical experiments show that bounding wind divergence and its time tendency can considerably suppress high-frequency spurious gravity waves and improve the assimilated results.
dc.description.sponsorshipSponsored by the National Oceanic & Atmospheric Administration under grants NA37RJ0202 and NA67RJ0152; and the Air Force Office of Scientific Research under grant F49620-95-1-0132.
dc.format.mediumreports
dc.identifier.urihttps://hdl.handle.net/10217/234514
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relationCatalog record number (MMS ID): 991004539919703361
dc.relationQC852 .C6 no. 653
dc.relation.ispartofAtmospheric Science Papers (Blue Books)
dc.relation.ispartofAtmospheric science paper, no. 653
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subjectMeteorology -- Data processing
dc.subjectDynamic meteorology
dc.subjectNumerical weather forecasting
dc.titleMethod of continuous data assimilation using short-term 4D-VAR analysis
dc.typeText
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