Numerical Modeling of Marine Circulation with 4D Variational Data Assimilation

The technology is presented for modeling and prediction of marine hydrophysical fields based on the 4D variational data assimilation technique developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences (INM RAS). The technology is based on solving equations of marine hy...

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Main Authors: Vladimir Zalesny, Valeriy Agoshkov, Victor Shutyaev, Eugene Parmuzin, Natalia Zakharova
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/8/7/503
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author Vladimir Zalesny
Valeriy Agoshkov
Victor Shutyaev
Eugene Parmuzin
Natalia Zakharova
author_facet Vladimir Zalesny
Valeriy Agoshkov
Victor Shutyaev
Eugene Parmuzin
Natalia Zakharova
author_sort Vladimir Zalesny
collection DOAJ
description The technology is presented for modeling and prediction of marine hydrophysical fields based on the 4D variational data assimilation technique developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences (INM RAS). The technology is based on solving equations of marine hydrodynamics using multicomponent splitting, thereby solving an optimality system that includes adjoint equations and covariance matrices of observation errors. The hydrodynamic model is described by primitive equations in the sigma-coordinate system, which is solved by finite-difference methods. The technology includes original algorithms for solving the problems of variational data assimilation using modern iterative processes with a special choice of iterative parameters. The methods and technology are illustrated by the example of solving the problem of circulation of the Baltic Sea with 4D variational data assimilation of sea surface temperature information.
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spelling doaj.art-6647cd62f30041b48792170d45465c7f2023-11-20T06:16:13ZengMDPI AGJournal of Marine Science and Engineering2077-13122020-07-018750310.3390/jmse8070503Numerical Modeling of Marine Circulation with 4D Variational Data AssimilationVladimir Zalesny0Valeriy Agoshkov1Victor Shutyaev2Eugene Parmuzin3Natalia Zakharova4Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333 Moscow, RussiaMarchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333 Moscow, RussiaMarchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333 Moscow, RussiaMarchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333 Moscow, RussiaMarchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333 Moscow, RussiaThe technology is presented for modeling and prediction of marine hydrophysical fields based on the 4D variational data assimilation technique developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences (INM RAS). The technology is based on solving equations of marine hydrodynamics using multicomponent splitting, thereby solving an optimality system that includes adjoint equations and covariance matrices of observation errors. The hydrodynamic model is described by primitive equations in the sigma-coordinate system, which is solved by finite-difference methods. The technology includes original algorithms for solving the problems of variational data assimilation using modern iterative processes with a special choice of iterative parameters. The methods and technology are illustrated by the example of solving the problem of circulation of the Baltic Sea with 4D variational data assimilation of sea surface temperature information.https://www.mdpi.com/2077-1312/8/7/503sea dynamics modelingvariational data assimilationobservationssea surface temperature
spellingShingle Vladimir Zalesny
Valeriy Agoshkov
Victor Shutyaev
Eugene Parmuzin
Natalia Zakharova
Numerical Modeling of Marine Circulation with 4D Variational Data Assimilation
Journal of Marine Science and Engineering
sea dynamics modeling
variational data assimilation
observations
sea surface temperature
title Numerical Modeling of Marine Circulation with 4D Variational Data Assimilation
title_full Numerical Modeling of Marine Circulation with 4D Variational Data Assimilation
title_fullStr Numerical Modeling of Marine Circulation with 4D Variational Data Assimilation
title_full_unstemmed Numerical Modeling of Marine Circulation with 4D Variational Data Assimilation
title_short Numerical Modeling of Marine Circulation with 4D Variational Data Assimilation
title_sort numerical modeling of marine circulation with 4d variational data assimilation
topic sea dynamics modeling
variational data assimilation
observations
sea surface temperature
url https://www.mdpi.com/2077-1312/8/7/503
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AT victorshutyaev numericalmodelingofmarinecirculationwith4dvariationaldataassimilation
AT eugeneparmuzin numericalmodelingofmarinecirculationwith4dvariationaldataassimilation
AT nataliazakharova numericalmodelingofmarinecirculationwith4dvariationaldataassimilation