Nonlinear hydrodynamics in a Mediterranean lagoon

Alekseenko, Elena; Roux, B.; Сухинов, А. И.; Kotarba, Richard; Fougère, Dominique

doi:10.5194/npg-20-189-2013

Cited by 48 publications

(22 citation statements)

References 17 publications

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“…Difference scheme. The difference method was constructed to approximate the developed model [5][6]. Comparison of simulation results with full-scale data showed that the calculation error for the proposed model is 10-15% [1].…”

Section: Vol 2 № 2 / 2018mentioning

confidence: 99%

Simulation of coastal aerodynamics taking into account forest plantations

Belova¹,

Protsenko²,

Atayan³

et al. 2018

Computational Mathematics and Information Technologies

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Taganrog Institute after A.P. Chekhov (branch) of RSUE, Taganrog, RussiaThe aim of the work is to study the influence of forest plantations on the distribution of pollutants in the ground layer of the atmosphere. The model that takes into account a variety of factors: the presence of forest plantations, the variability of pressure, density and temperature, the presence of a multicomponent impurity, etc., was proposed for the numerical modeling of the process of transferring air pollutants to air. The scheme obtained as a result of a linear combination of the central difference scheme and the «CABARET» scheme was constructed to approximate the convection operator in this paper. The use of cabaret schemes allowed to develop the mathematical model that has the property of stability for a wider class of input parameters. The constructed algorithms are implemented in the form of the software complex that allows to determine the influence of the forest plantations on the distribution of pollutants under the influence of ascending air currents. The developed model, the algorithms that implement it, and the software complex constructed allowed to carry out the numerical experiments that simulate the distribution of pollutants in the surface layer of the atmosphere in the presence of forest plantations. The influence of the presence of vegetation on the distribution of pollutants under the action of ascending air currents is studied: pollutants under the influence of ascending air currents rise upwards in the area of forest plantations. The influence of the forest plantations area width on the air velocity and pollutants concentration fields is studied. An analysis of the results of numerical experiments allows to conclude that the distribution of pollutants in a multicomponent air environment is most significantly affected by the density of vegetation, and insignificantly influenced by the width of the forest plantations area.

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Section: Vol 2 № 2 / 2018mentioning

confidence: 99%

Simulation of coastal aerodynamics taking into account forest plantations

Belova¹,

Protsenko²,

Atayan³

et al. 2018

Computational Mathematics and Information Technologies

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“…Let us consider the equation of sediment transport according to the [10][11][12][13][14][15]: Further, for simplicity, the equation (1) was considered…”

Section: The Formulation Of the Nonlinear Initial-boundary Value Probmentioning

confidence: 99%

Investigation of nonlinear 2D bottom transportation dynamics in coastal zone on optimal curvilinear boundary adaptive grids

2017

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Abstract. One of the practically important tasks of hydrophysics for sea coastal systems is the problem of modeling and forecasting bottom sediment transportation. A number of problems connected to ship safety traffic, water medium condition near the coastal line etc. depends on forecasting bottom deposit transportation under natural and technogenic influences. Coastal systems are characterized by a complicated form of coastline -the presence of long, narrow and curvilinear peninsulas and bays. Water currents and waves near the beach are strongly depend on complicated coastal line and in turn, exert on the bottom sediment transportation near the shore. The use of rectangular grids in the construction of discrete models leads to significant errors in both the specification of boundary conditions and in the modeling of hydrophysical processes in the coastal zone. In this paper, we consider the construction of a finite-element approximation of the initial-boundary value problem for the spatially two-dimensional linearized equation of sediment transportation using optimal boundary-adaptive grid. First, the linearization of a spatially twodimensional nonlinear parabolic equation on the time grid is performed-when the coefficients of the equation that are nonlinearly dependent on the bottom relief function are set on the previous time layer, and the corresponding initial conditions are used on the first time layer. The algorithm for constructing the grid is based on the procedure for minimizing the generalized Dirichlet functional. On the constructed grid, finite element approximation using bilinear basis functions is performed, which completes the construction of a discrete model for the given problem. The using of curvilinear boundary adaptive grids leads to decreasing of total grid number in 5-20 times and respectively the total modeling time and/or it allows to improve modeling accuracy.

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“…On the basis of the constructed algorithms were developed software intended for modeling of sediment transport in shallow waters [2][3]. The developed software, used to calculate two-dimensional velocity vector of the flow of the water environment, takes into account the turbulent exchange, the geometry of the seabed, wind currents and friction on the bottom.…”

Section: Mathematical Model Of Sediment Transportmentioning

confidence: 99%

“…The equations of the process of sediment transport [1][2][3][4][5] can be written in the following form:…”

Section: Mathematical Model Of Sediment Transportmentioning

confidence: 99%

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Mathematical modeling of wave processes and transport of bottom materials in coastal water areas taking into account coastal structures

Проценко

Sukhinova

2017

MATEC Web Conf.

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Abstract. The necessity of numerical modeling of the mechanisms of formation of the field of suspension and sediment flow determines the urgency of the problem under study. The process of developing shallow coastal zones, with constructive transformation and changes in coastal reliefs, is becoming increasingly important. Assessment of the hydrodynamic impact on shore protection structures and coastal structures installed at the bottom of a shallow water body is an important task at present. With a constructive transformation of the reliefs, one should take into account the dynamics of the formation of the coast investigate the formation of the profile of the bottom in the coastal zone of the reservoir under the influence of wave processes. For determining the dynamics and trend of phenomena occurring in the coastal waters and predicting possible interventions in the ecosystem, the need to build mathematical models of the transport processes of matter in the coastal waters, taking into account the presence of coastal structures, is actualized.

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Nonlinear hydrodynamics in a Mediterranean lagoon

Cited by 48 publications

References 17 publications

Simulation of coastal aerodynamics taking into account forest plantations

Simulation of coastal aerodynamics taking into account forest plantations

Investigation of nonlinear 2D bottom transportation dynamics in coastal zone on optimal curvilinear boundary adaptive grids

Mathematical modeling of wave processes and transport of bottom materials in coastal water areas taking into account coastal structures

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