Methods of variational data assimilation with application to problems of hydrothermodynamics of marine water areas

Agoshkov, V. I.; Lezina, N. R.; Parmuzin, E. I.; Sheloput, T. O.; Shutyaev, V. P.; Zakharova, N. B.

doi:10.1515/rnam-2020-0016

Cited by 6 publications

(3 citation statements)

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“…Following [9,10], let us consider the telegraph line with length l. With the distributed parameters C, L, R, G, where C-capacity per length unit, L-inductance per length unit, R-resistance per length unit, and G-conductivity per length unit (see [11,12]). Let the differential operator…”

Section: Resultsmentioning

confidence: 99%

“…In [8], numerical methods are used to study vibrations and determine the qualitative effect of the appearance of an echo. It is worth noting that analytical methods are used in this work to accurately describe oscillatory processes, and the validity of their application can be found in [9,10]. Further analysis and discussion of the works will be carried out as necessary in the text.…”

Section: Introductionmentioning

confidence: 99%

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Model Problems on Oscillations of Mechanical and Biological Membranes

Kostikov,

Romanenkov

2023

Inventions

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Various models of membrane oscillations emerging in the theory of elasticity of mechanical systems, biomechanics of the internal ear of vertebrata, and in the theory of electrical circuits are discussed in the article. The considered oscillations have different natures, but their mathematical models are described using similar initial boundary value problems for the second-order hyperbolic equation with the nontrivial boundary condition. The differential equations in these problems are the same. Thus, for example, the model of voltage distribution in the telegraph line emerges for the one-dimensional equation of oscillations. The model of oscillations of a circular homogeneous solid membrane, a membrane with a hole, and the model of gas oscillations in a sphere and spherical region emerge for the two-dimensional and three-dimensional operators, but take into account the radial symmetry of oscillations. The model problem on membrane oscillation can be considered as the problem on ear drum membrane oscillations. The unified approach to reducing the corresponding problems to the initial boundary value problem with zero boundary conditions is suggested. The technique of formulating the solution in the form of a Fourier series using eigenfunctions of the corresponding Sturm–Liouville problem is described.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Model Problems on Oscillations of Mechanical and Biological Membranes

Kostikov,

Romanenkov

2023

Inventions

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“…On one side, there are created information products which are aimed directly at the algae detection and identification [1][2][3][4][5][6]. On the other side, there are being carried out complex studies which are aimed at understanding natural processes [7][8][9][10][11]. As a result, all of them pursue one goal -to study the conditions and features of the phytoplankton population development, and that is an issue today.…”

Section: Introductionmentioning

confidence: 99%

Algorithms and programs based on neural networks and local binary patterns approaches for monitoring plankton populations in sea systems

Сухинов

Panasenko²,

Simorin³

2022

E3S Web Conf.

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The work is devoted to the method of multispectral space images analyzing of aquatic coastal systems for identifying phytoplankton populations of complicated structures: determining their boundaries, distributing color gradations and, based on this, determining the distribution of phytoplankton concentrations within patches and the location of the "mass" center. A combination of local binary patterns (LBP) and neuralnetworks methods is considered. Due to these characteristics it is possible, basing on a series of processed images of the same water area for different time points (dates), to determine the changing rate in the spots boundaries and their concentrations, the shift of the mass center which are influenced by the aquatic environment movement and the processes of phytoplankton growth and death. The results of the work allow us to determine the Azov Sea state. Experimental data of the program are given in confirmation part.

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Processing and assimilation of observation data for the hydrodynamics model of the Black Sea and the Sea of Azov

Zakharova

Sheloput

Lezina

et al. 2021

J. Phys.: Conf. Ser.

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This work is aimed at using the marine data of the Shared Use Centre (SUC) “IKI-Monitoring” in the variational assimilation procedures of the Informational Computational System (ICS) “INM RAS - Black Sea”. SUC “IKI - Monitoring” is a tool for obtaining remote sensing observations on the Earth state. In the paper observation data information is given, data processing procedures are described, algorithms for the assimilation of the information received and several specific features of the numerical model used are presented. Results of the variational assimilation of two sets of observation data are presented and discussed. Numerical experiments have confirmed the possibility of using incomplete data from satellites in the problems of modelling the sea area.

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Methods of variational data assimilation with application to problems of hydrothermodynamics of marine water areas

Abstract: A series of problems related to the class of inverse problems of ocean hydrothermodynamics and problems of variational data assimilation are formulated in the present paper. We propose methods for solving the problems studied here and present results of numerical experiments.

Cited by 6 publications

References 0 publications

Model Problems on Oscillations of Mechanical and Biological Membranes

Model Problems on Oscillations of Mechanical and Biological Membranes

Algorithms and programs based on neural networks and local binary patterns approaches for monitoring plankton populations in sea systems

Processing and assimilation of observation data for the hydrodynamics model of the Black Sea and the Sea of Azov

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