scholarly journals Variational Data Assimilation in the Mathematical Model of the Black Sea Dynamics

2019 ◽  
Vol 35 (6) ◽  
Author(s):  
V. I. Agoshkov ◽  
◽  
V. P. Shutyaev ◽  
E. I. Parmuzin ◽  
N. B. Zakharova ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Data Assimilation ◽  
Black Sea ◽  
Variational Data Assimilation ◽  
The Black Sea ◽  
The Mathematical Model

scholarly journals Variational Data Assimilation in the Mathematical Model of the Black Sea Dynamics

2019 ◽  
Vol 26 (6) ◽  
Author(s):  
V. I. Agoshkov ◽  
V. P. Shutyaev ◽  
E. I. Parmuzin ◽  
N. B. Zakharova ◽  
T. O. Sheloput ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Data Assimilation ◽  
Black Sea ◽  
Variational Data Assimilation ◽  
The Black Sea ◽  
The Mathematical Model

Numerical solution of the problem of variational data assimilation to restore heat fluxes and initial state for the ocean thermodynamics model

2021 ◽  
Vol 36 (1) ◽  
pp. 43-53
Author(s):  
Victor P. Shutyaev ◽  
Eugene I. Parmuzin
Keyword(s):  
Data Assimilation ◽  
Black Sea ◽  
Numerical Experiments ◽  
Iterative Solution ◽  
System Justification ◽  
Heat Fluxes ◽  
Variational Data Assimilation ◽  
The Black Sea ◽  
Initial State ◽  
Solution Algorithms

Abstract For the model of ocean thermodynamics developed at the Institute of Numerical Mathematics of RAS, the problem of variational data assimilation is considered in order to restore heat fluxes on the ocean surface and initial state of the model. Iterative solution algorithms are proposed for the optimality system, justification of these algorithms is given based on properties of the control operator. The results of numerical experiments for the model of the Black Sea dynamics are presented.

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

2015 ◽  
Vol 30 (3) ◽  
Author(s):  
Valeriy I. Agoshkov ◽  
Maksim V. Assovskii ◽  
Vladimir B. Zalesny ◽  
Natalia B. Zakharova ◽  
Eugene I. Parmuzin ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Black Sea ◽  
Sea Surface ◽  
The Black Sea ◽  
Observation Data ◽  
Variational Assimilation ◽  
Flux Function ◽  
The Mean ◽  
The Mathematical Model ◽  
Satellite Altimetry Data

AbstractA 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 affecting 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

CORRELATION OF THE BLACK, MARMARA AND AEGEAN SEAS DURING THE HOLOCENE

2017 ◽  
Author(s):  
Nikolay Esin ◽  
Nikolay Esin ◽  
Vladimir Ocherednik ◽  
Vladimir Ocherednik
Keyword(s):  
Mathematical Model ◽  
Sea Level ◽  
Black Sea ◽  
Aegean Sea ◽  
The Black Sea ◽  
Sea Level Changes ◽  
The Holocene

A mathematical model describing the change in the Black Sea level depending on the Aegean Sea level changes is presented in the article. Calculations have shown that the level of the Black Sea has been repeating the course of the Aegean Sea level for the last at least 6,000 years. And the level of the Black Sea above the Aegean Sea level in the tens of centimeters for this period of time.

The new Black Sea Reanalysis System within CMEMS

2021 ◽  
Author(s):  
Leonardo Lima ◽  
Stefania Angela Ciliberti ◽  
Ali Aydogdu ◽  
Romain Escudier ◽  
Simona Masina ◽  
...  
Keyword(s):  
Data Assimilation ◽  
Sea Level ◽  
Black Sea ◽  
General Circulation ◽  
Circulation Model ◽  
Sea Surface Height ◽  
Sea Surface ◽  
The Black Sea ◽  
Freshwater Flux ◽  
Sea Level Anomaly

<p>Ocean reanalyses are becoming increasingly important to reconstruct and provide an overview of the ocean state from the past to the present-day. These products require advanced scientific methods and techniques to produce a more accurate ocean representation. In the scope of the Copernicus Marine Environment Monitoring Service (CMEMS), a new Black Sea (BS) reanalysis, BS-REA (BSE3R1 system), has been produced by using an advanced variational data assimilation method to combine the best available observations with a state-of-the-art ocean general circulation model. The hydrodynamical model is based on Nucleus for European Modeling of the Ocean (NEMO, v3.6), implemented for the BS domain with horizontal resolution of 1/27° x 1/36°, and 31 unevenly distributed vertical levels. NEMO is forced by atmospheric surface fluxes computed via bulk formulation and forced by ECMWF ERA5 atmospheric reanalysis product. At the surface, the model temperature is relaxed to daily objective analysis fields of sea surface temperature from CMEMS SST TAC. The exchange with Mediterranean Sea is simulated through relaxation of the temperature and salinity near Bosporus toward a monthly climatology computed from a high-resolution multi-year simulation, and the barotropic Bosporus Strait transport is corrected to balance the variations of the freshwater flux and the sea surface height measured by multi-satellite altimetry observations. A 3D-Var ocean data assimilation scheme (OceanVar) is used to assimilate sea level anomaly along-track observations from CMEMS SL TAC and available in situ vertical profiles of temperature and salinity from both SeaDataNet and CMEMS INS TAC products. Comparisons against the previous Black Sea reanalysis (BSE2R2 system) show important improvements for temperature and salinity, such that errors have significantly decreased (about 50%). Temperature fields present a continuous warming in the layer between 25-150 m, within which there is the presence of the Black Sea Cold Intermediate Layer (CIL). SST exhibits a positive bias and relatively higher root mean square error (RMSE) values are present in the summer season. Spatial maps of sea level anomaly reveal the largest RMSE close to the shelf areas, which are related to the mesoscale activity along the Rim current. The BS-REA catalogue includes daily and monthly means for 3D temperature, salinity, and currents and 2D sea surface height, bottom temperature, mixed layer fields, from Jan 1993 to Dec 2019.  The BSE3R1 system has produced very accurate estimates which makes it very suitable for assessing more realistic climate trends and indicators for important ocean properties.</p>

scholarly journals Mathematical model of the Late Pleistocene and Holocene transgressions of the Black Sea

2010 ◽  
Vol 225 (2) ◽  
pp. 180-190 ◽  
Author(s):  
N.V. Esin ◽  
V. Yanko-Hombach ◽  
O.N. Kukleva
Keyword(s):  
Mathematical Model ◽  
Late Pleistocene ◽  
Black Sea ◽  
The Black Sea

scholarly journals Modeling of electricity production by wind power stations of Ukraine

2021 ◽  
Vol 280 ◽  
pp. 09010
Author(s):  
Volodymyr Podhurenko ◽  
Yulii Kutsan ◽  
Oleg Getmanets ◽  
Volodymyr Terekhov
Keyword(s):  
Mathematical Model ◽  
Wind Power ◽  
Black Sea ◽  
Energy Production ◽  
Electricity Production ◽  
Operational Parameters ◽  
Black Sea Region ◽  
Power Stations ◽  
The North ◽  
The Mathematical Model

Based on the results of actual multi-year measurements of wind speeds, numerical calculations have been made of the forecast energy productions of 43 megawatt-high power stations of the leading world producers in the wind conditions of the North Black Sea region of Ukraine. The established correlation between the annual energy production of wind power station (WPS) and its basic parameters (nameplate capacity, diameter of the rotor and hub height) allowed to develop a mathematical model of the forecast annual energy production of WPS. The calculations for the mathematical model are well in line with the operational parameters of the generation. The mathematical model makes it possible to quickly and reliably select (or design) the optimal wind turbine for industrial wind power in the North Black Sea, thus taking a significant step in reducing the energy dependency, environmental protection and the transition to energy-efficient and environmentally friendly technologies enabling Ukraine to reach the level of advanced states in the development of wind energy.

scholarly journals ЕФЕКТИВНІСТЬ ЕНЕРГОТЕХНОЛОГІЧНОЇ УСТАНОВКИ ЩОДО ВИДОБУВАННЯ СІРКОВОДНЮ З ГЛИБИН ЧОРНОГО МОРЯ

2019 ◽  
pp. 50-57
Author(s):  
Михайло Романович Ткач ◽  
Борис Георгійович Тимошевський ◽  
Аркадій Юрійович Проскурін ◽  
Юрій Миколайович Галинкін
Keyword(s):  
Mathematical Model ◽  
Hydrogen Sulfide ◽  
Black Sea ◽  
Control Valve ◽  
Operational Reliability ◽  
Gas Content ◽  
The Black Sea ◽  
Depth Range ◽  
Gaseous State ◽  
Pressure Hydrogen

The article discusses a promising energy-technology unit for the extraction of hydrogen sulfide from the deep waters of the Black Sea, which provides for raising the gas-liquid mixture from the depths by the gas-lift method using wave pulses to separate hydrogen sulfide in the gaseous state. The installation includes a supply line, which is lowered to the required depth, a supply pump, a coalescing separator, a seawater discharge line with a reduced concentration of hydrogen sulfide, a control valve, a hydrodynamic generator of mechanical vibrations, a lifting pipeline, a high pressure hydrogen sulfide separator, a hydraulic turbine, a low pressure hydrogen sulfide separator, seawater discharge pipe and hydrogen sulfide expander. This unit will improve the energy efficiency and operational reliability of the process of hydrogen sulfide production, as well as reduce the burden on the Black Sea environment. A mathematical model of this setup has been developed. The results obtained by the mathematical model adequately coincide with the known experimental ones. This suggests that it is possible to use the model to determine the parameters of the process for the extraction of hydrogen sulfide from the Black Sea. The parameters of the process for the extraction of hydrogen sulfide from the Black Sea in the depth range of the pipeline 0...1000 m at a temperature of 280...285 K. It has been established that increasing the gas content of seawater from 0 to 2.5 m3/m3 leads to a decrease in the pressure value by 2.2 MPa. A further increase in seawater gas content from 2.5 to 5.0 m3/m3 is accompanied by a decrease in pressure of another 1.6 MPa. Such a significant decrease in pressure at the inlet to the riser piping allows hydrogen sulfide and seawater to be obtained at a pressure that is substantially greater than atmospheric. The excess pressure at the outlet of the lifting pipeline is determined based on data obtained by the method of "equivalent length". When the seawater gas content is 2.5 m3/m3, the pipeline’s immersion depth is 250...1000 m, the value of the overpressure of substances at the exit of the lifting pipeline will be 0.2...0.45 MPa, and at 5 m3/m3 – 0.67...1.07 MPa, at 7.5 m3/m3 – 0.83...1.4 MPa and at 10 m3/m3 – 0.97...1.68 MPa.

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