Supercomputer Simulation of Oil Spills in the Azov Sea

Chistyakov, A. E.; Nikitina, A. V.; Litvinov, Vladimir; Сухинов, А. И.; Чистяков, А.Е.; Filina, A. A.; Никитина, А В; Литвинов, B. Н.

doi:10.14529/mmp190310

Cited by 4 publications

(2 citation statements)

References 13 publications

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“…Заметим, что в начально-краевой задаче, моделирующей распространение нефтяного загрязнения, ряд процессов рассматривается на поверхности водоема и потому здесь используется двумерная постановка. Процесс распространения и трансформации нефти в прибрежной зоне опишем следующими уравнениями [12]:…”

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Mathematical Model of Spreading Oil Pollution in Coastal Marine Systems

Sidoryakina

2024

CMIT

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Introduction. The negative consequences that may arise due to an accidental oil spill are diﬃcult to account for, since they disrupt many natural processes and relationships within the ecosystem of the reservoir. After an oil spill, a dense layer of oil ﬁlm forms on the water surface quite quickly, preventing access to air and light (after a spill of one ton of oil, an oil slick about 10 mm thick forms on the surface of the reservoir after 10 minutes). As a result, the fauna and ﬂora of the reservoir suﬀer. If the accident occurred in the coastal zone near a populated area, then the toxic eﬀect is enhanced, because petroleum products in combination with various pollutants of human origin can form dangerous compounds. For high-risk areas (the main routes of transportation of petroleum products, places of their bunkering and unloading, etc.), it is necessary to predict various scenarios for the spread and transformation of oil pollution, taking into account their multifractional composition, turbulent diﬀusion and advective transport, destruction under the inﬂuence of natural factors. The aim of the work is to build a linearized non-stationary spatially heterogeneous mathematical model of transport and transformation of oil pollution, taking into account the above factors.Materials and Methods. The oil that has entered the aquatic environment is represented as a surface and suspended substance in the water column. Oil is subject to a variety of transformation processes: advection, gravitational spreading, emulsiﬁcation, dispersion, dissolution, biodegradation, etc. The study of these processes and their forecasting, as a rule, requires the development of mathematical and software. In mathematical and numerical modeling, one should start from the system of Navier-Stokes equations and continuity equations, as well as introduce additional physical tolerances of the ﬂow geometry, acceptable and justiﬁed in each case, as shown by world experience and objective analysis of the physical picture of processes. Mathematical modeling of the oil distribution process in coastal marine systems has been performed.Results. Mathematical oil distribution model has been created, taking into account its multifractional composition. It is assumed that oil fractions can be in water in dissolved or undissolved states. The modeling takes into account such physical characteristics of particles as density, acceleration of gravity, molar mass, etc. After the linearization of the problem under consideration, diﬀerence schemes using extended uniform grids were constructed.Discussion and Conclusion. Pollution caused by an oil spill in the aquatic environment occurs very quickly and is often very destructive. An important factor will be prompt response, which plays a crucial role in minimizing its negative consequences. Modeling of the oil spill process can be useful for determining the location and condition of oil at sea, conducting a risk analysis of the spread of the substance and developing measures to localize and eliminate pollution.

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“…достаточно взять функции начальных условий из формул (9). Если n = 2, то из формул (12) берется функция начального условия…”

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Mathematical Model of Spreading Oil Pollution in Coastal Marine Systems

Sidoryakina

2024

CMIT

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Modeling the Process of Mixing Water in the Estuarine Area in the Presence of a Density Gradient of the Aquatic Environment Using Hybrid MPI/OpenMP Technology

Сухинов

Atayan

Kuznetsova

et al. 2021

Communications in Computer and Information Science

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Suspended particle transport process modeling based on 2D and 3D models

Чистяков

Protsenko

Kuznetsova

et al. 2021

J. Phys.: Conf. Ser.

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In this paper, suspended particles transport mathematical model is proposed and investigated. The considered model includes the following factors: the aquatic environment movement; variable density depending on the suspension concentration; multicomponent suspension; change in the bottom geometry as suspension sedimentation result. The 3D diffusion-convection equation approximation based on splitting schemes into 2D and one-dimensional problems. In the paper, convective and diffusive transfer operators’ discrete analogs in the case of partial fullness of the cells are used. Based on the fullness function, the calculated area geometry is described. The difference scheme, which is linear combination of the Upwind and Standard Leapfrog difference schemes with weight coefficients obtained from the condition of minimizing the approximation error, is used. This scheme is designed to solve the impurity transfer problem at large grid Peclet numbers. Based on the results of numerical experiments, conclusions are drawn about the advantages of the 3D model of suspended particle transport over the 2D model. The results of numerical experiments on modeling the multicomponent suspension deposition are presented.

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Supercomputer Simulation of Oil Spills in the Azov Sea

Cited by 4 publications

References 13 publications

Mathematical Model of Spreading Oil Pollution in Coastal Marine Systems

Mathematical Model of Spreading Oil Pollution in Coastal Marine Systems

Modeling the Process of Mixing Water in the Estuarine Area in the Presence of a Density Gradient of the Aquatic Environment Using Hybrid MPI/OpenMP Technology

Suspended particle transport process modeling based on 2D and 3D models

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