Variational assimilation of observation data in the mathematical model of the Black Sea taking into account the tide-generating forces

被引:6
|
作者
Agoshkov, Valeriy I. [1 ]
Assovskii, Maksim V. [1 ]
Zalesny, Vladimir B. [1 ]
Zakharova, Natalia B. [1 ]
Parmuzin, Eugene I. [1 ]
Shutyaev, Victor P. [1 ]
机构
[1] RAS, Inst Numer Math, Moscow 119333, Russia
基金
俄罗斯基础研究基金会; 俄罗斯科学基金会;
关键词
Variational data assimilation problem; numerical algorithm; determination of heat fluxes on the sea surface; tide-generating forces; geoid; SIMULATION;
D O I
10.1515/rnam-2015-0013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A mathematical model of the dynamics of the Black and the Azov Seas is considered taking into account tide-generating forces. The problem of variational assimilation of sea surface temperature (SST) data is formulated and studied. Based on variational assimilation of satellite altimetry data, we propose an algorithm for solving the inverse problem of reconstruction of potential forces afflecting the formation of the mean level and present a method of approximate solution of this problem. We also present numerical experiments concerning the study of the influence of tide-generating forces on the dynamics of the Black Sea and restoration of the heat flux function in the problem of variational data assimilation of SST observations.
引用
收藏
页码:129 / 142
页数:14
相关论文
共 50 条
  • [1] Variational assimilation of observation data in the mathematical model of the Black Sea taking into account the tide-generating forces (vol 30, pg 129, 2015)
    Agoshkov, Valeriy I.
    Assovskii, Maksim V.
    Zalesny, Vladimir B.
    Zakharova, Natalia B.
    Parmuzin, Eugene I.
    Shutyaev, Victor P.
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2016, 31 (01) : 65 - 65
  • [2] Variational Data Assimilation in the Mathematical Model of the Black Sea Dynamics
    Agoshkov, V., I
    Shutyaev, V. P.
    Parmuzin, E., I
    Zakharova, N. B.
    Sheloput, T. O.
    Lezina, N. R.
    PHYSICAL OCEANOGRAPHY, 2019, 26 (06): : 515 - 527
  • [3] Variational assimilation of observation data in the mathematical model of the Baltic Sea dynamics
    Agoshkov, Valeriy I.
    Parmuzin, Eugene I.
    Zalesny, Vladimir B.
    Shutyaev, Victor P.
    Gusev, Anatoly V.
    Zakharova, Natalia B.
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2015, 30 (04) : 203 - 212
  • [4] Numerical simulation of the Black Sea hydrothermodynamics taking into account tide-forming forces
    Agoshkov, V. I.
    Assovskii, M. V.
    Lebedev, S. A.
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2012, 27 (01) : 5 - 31
  • [5] The study of solution sensitivity for the variational observation data assimilation problem in the Black Sea dynamics model
    Parmuzin, E. I.
    Shutyaev, V. P.
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2013, 28 (01) : 37 - 52
  • [6] Variational assimilation of observation data in the mathematical model of the Baltic Sea dynamics (vol 30, pg 203, 2015
    Agoshkov, Valeriy I.
    Parmuzin, Eugene I.
    Zalesny, Vladimir B.
    Shutyaev, Victor P.
    Zakharova, Natalia B.
    Gusev, Anatoly V.
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2016, 31 (01) : 65 - 65
  • [7] Sensitivity of Functionals to Observation Data in a Variational Assimilation Problem for a Sea Thermodynamics Model
    V. P. Shutyaev
    E. I. Parmuzin
    Numerical Analysis and Applications, 2019, 12 : 191 - 201
  • [8] Sensitivity of Functionals to Observation Data in a Variational Assimilation Problem for a Sea Thermodynamics Model
    Shutyaev, V. P.
    Parmuzin, E., I
    NUMERICAL ANALYSIS AND APPLICATIONS, 2019, 12 (02) : 191 - 201
  • [9] Variational data assimilation for a sea dynamics model
    Agoshkov, Valery
    Zalesny, Vladimir
    Shutyaev, Victor
    Parmuzin, Eugene
    Zakharova, Natalia
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2022, 37 (03) : 131 - 142
  • [10] Variational Data Assimilation for the Sea Thermodynamics Model and Sensitivity of Marine Characteristics to Observation Errors
    Shutyaev, V. P.
    Parmuzin, E. I.
    IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS, 2023, 59 (06) : 722 - 730