Mathematical modeling of hydrophysical processes for water with complex bottom geometry

Сухинов, А. И.; Chistyakov, A. E.; Leontyev, A. L.; Nikitina, A. V.; Filina, A. A.

doi:10.1088/1742-6596/1479/1/012083

Cited by 4 publications

(2 citation statements)

References 9 publications

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“…Viterbo et al ( 2019) proposed a spatial modeling framework for multi-altitude satellite constellations using a Poisson Cox point process. The authors developed a mathematical model that considers the inhomogeneous distribution of satellites at different altitudes (Okati & Riihonen, 2022) (Sukhinov et al, 2020) (Bondur et al, 2022). The proposed model enabled the analysis of coverage and interference in multi-altitude LEO satellite networks (Mirza & Khan, 2020).…”

Section: Introductionmentioning

confidence: 99%

Modeling and optimization of multi-altitude leo satellite networks using cox point processes

Zhu,

Solosa,

Maniani

2023

emod

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This research focuses on the modeling and optimization of multi-altitude Low Earth Orbit (LEO) satellite networks using Cox point processes to achieve efficient coverage and performance analysis. LEO satellite networks have gained attention for their potential to provide global connectivity with reduced latency and increased network capacity. Accurately modeling the spatial distribution of satellites at different altitudes and optimizing their deployment pose significant challenges. This research proposes a mathematical framework based on Cox point processes to capture the randomness and irregularity of satellite deployments. Optimization algorithms, such as genetic algorithms, are employed to determine the optimal satellite locations, altitude allocation, and network parameters. Performance analysis considers metrics such as coverage probability, signal strength, interference levels, capacity, and quality of service. The research contributes to the development of advanced modeling techniques, optimization algorithms, and performance analysis frameworks, enabling efficient coverage and performance optimization in multi-altitude LEO satellite networks. The numerical examples and discussions illustrate the effectiveness and potential of the proposed approach in enhancing the design and operation of satellite communication systems

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Section: Introductionmentioning

confidence: 99%

Modeling and optimization of multi-altitude leo satellite networks using cox point processes

Zhu,

Solosa,

Maniani

2023

emod

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“…Problem statement. The Navier-Stokes and continuity equations are used to describe the dynamics of a sea with a lateral surface ∑, variable depth in the Cartesian coordinate system, with the axis pointing vertically down, the axis pointing north, and the axis pointing east [5]:…”

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confidence: 99%

Caspian Sea Mathematical Model of Fluid Dynamics Considering the Presence of Ice on Its Surface

Leontyev¹,

Chumak²

2021

CMIT

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This article is devoted to the development and research of a mathematical model of water fluid dynamics with variable depth. This model describes the water flow movement, the thermodynamics of ice formation and melting, considers the Coriolis force, horizontal and vertical turbulence of the water environment, the complex geometry of the coastline and bottom, friction on the bottom and wind currents, evaporation, wind speed, and atmospheric density, and the deviation of the pressure field value from the hydrostatic approximation. The article describes the influence of the spatial distribution of temperature, salinity, ionic composition, and hydrostatic pressure on the processes of ice cover formation. The Caspian Sea-was chosen as the object of the simulation. The changes in the temperature and salinity distributions measured by the electrical conductivity of the water, considering the ionic composition of the Caspian Sea waters over a long-term period, are used as input data. Modeling the movement of water flow will allow you to respond to man-made threats in an accelerated time mode. The models of hydrodynamics presented in this paper can be adapted for other reservoirs using the appropriate geoinformation systems.

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Algorithm for monitoring the plankton population dynamics based on satellite sensing data

Panasenko

Poluyan

Motuz

2021

J. Phys.: Conf. Ser.

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The scientific work describes the algorithms for processing the multispectral water coastal imagery from satellite sensing data with the aim of identifying the phytoplankton population of a spotted structure: determining the contour, distributing color gradation and as a result - determining the concentration of phytoplankton distribution inside the zones and mass centers. Such characteristics let determine the speed of changing contours spots and their concentration, the mass center shift as a consequence of the water masses movement and the processes of phytoplankton growing and dying. All these may be done on the base of the processed image series of the same water area over different time (different dates). The combination of LBP and neural network methods are observed as algorithms for image processing and the results of computer experiments are presented.

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Mathematical modeling of hydrophysical processes for water with complex bottom geometry

Cited by 4 publications

References 9 publications

Modeling and optimization of multi-altitude leo satellite networks using cox point processes

Modeling and optimization of multi-altitude leo satellite networks using cox point processes

Caspian Sea Mathematical Model of Fluid Dynamics Considering the Presence of Ice on Its Surface

Algorithm for monitoring the plankton population dynamics based on satellite sensing data

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