The modelling system for simulation of the oil spills in the Black Sea

Brovchenko, Igor; Kuschan, A.; Maderich, Vladіmir; Shliakhtun, M.; Yuschenko, S.; Zheleznyak, Mark

doi:10.1016/s0422-9894(03)80095-8

Cited by 17 publications

(21 citation statements)

References 7 publications

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“…(2). This approach [15][16][17] allows to take into account interactions of particles in ensemble to describe spreading of the slick of arbitrary shape. Similar methods were developed in the plasma physics for description of collisionless systems by "particle-particle" methods (see e.g.…”

Section: Numerical Algorithmmentioning

confidence: 99%

“…(2) are omitted. They can be included in the model algorithm [15][16][17] but here we consider only regimes without inertia effects.…”

Section: Numerical Algorithmmentioning

confidence: 99%

“…However, these relations cannot describe realistic variability of slick thickness, observed non-symmetrical spreading of oil slick under the influence of the wind and currents and dynamics of spills caused by continuous release with a time varying rate [2]. Only a few models described realistic shape of spreading slick are known: the 2D Eulerian model of surface slick [14] that was derived from shallow water equations for viscous and surface tension regimes and 3D Lagrangian [15][16][17] and Eulerian [18] models that were recently developed to include also weathering processes. However, the possible effects of the Coriolis force on the spreading have not been yet investigated or even discussed despite the spreading time scale for large spills can be of many hours and days and releases can continue days and months as in the "Ixtoc I" and "Deep Horizon" spills.…”

Section: Introductionmentioning

confidence: 99%

“…In the paper we develop and analyze an extension of model [15][16][17] that is able to describe spreading dynamics of the surface slick under influence of the Coriolis force and the surface currents for the cases of instantaneous and continuous releases. The plan of the paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

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Oil spreading in instantaneous and continuous spills on rotating earth

2012

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The effect of the Coriolis force on the oil spill spreading in the gravity-viscous regime is examined. A new shallow water model for the transport and spreading of oil slick of arbitrary shape is described in which the Coriolis force is included in the momentum equations and the oil-water friction is parameterized in a frame of the boundary layer theory including the Ekman friction. The numerical Lagrangian method based on smoothed particle dynamics is described. New similarity solutions of the model equations are obtained for unidirectional and axisymmetric spreading in gravity-viscous, gravity-turbulent and gravityviscous-rotational regimes for instantaneous as well as continuous releases. The numerical simulation extends these results for the case of continuous release in the presence of currents. It was shown that Coriolis term in the momentum equation can be omitted if slick thickness is much less of the laminar Ekman layer thickness. However, the Ekman friction should be retained for slicks of any thickness for larger times. The Ekman friction results in the essential slowdown of the spreading as well as in the deflection of the oil spreading velocity at 45 • from the direction of velocity in the non-rotation case. Numerical simulations of large-scale spills showed that after the 2 days the slick area with the Coriolis effect was approximately less than half of that without rotation. Therefore, the earth rotation can be also important in the oil weathering.

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Section: Numerical Algorithmmentioning

confidence: 99%

“…(2) are omitted. They can be included in the model algorithm [15][16][17] but here we consider only regimes without inertia effects.…”

Section: Numerical Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Oil spreading in instantaneous and continuous spills on rotating earth

2012

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“…В работе [34] развита система моделирования погоды, морского течения и ветрового волнения, в которую включена модель переноса нефтяного пят-на. Для оперативного прогноза погоды в регионе Черного моря используется модель ММ5 [41], для моделирования ветрового волнения -WAVEWATCH III [42], а гидродинамика Черного моря рассчитывается с помощью модели POM [40].…”

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