Modeling drift currents in a shallow basin with allowance for variations in tangential stresses induced by wind waves

Фомін, В. В.; Cherkesov, L. V.

doi:10.1134/s0001433806030091

Cited by 5 publications

(14 citation statements)

References 9 publications

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“…Some distinctions, e.g., different maximum levels of high and low surges, can be explained by the presence of errors in the data of measurements and numerical results. Thus, for the Genichesk and Mariupol stations, the model values of | ζ | obtained by using the friction coefficients (9) and (10) are in better agreement with the data of measurements than with the results obtained by using coefficient (8).…”

Section: Comparison Of the Results Of Simulation With The Data Of Measupporting

confidence: 77%

“…The maximum low surges are obtained for the coefficient C a 2 at the stations A 1 , A 2 , A 4 , A 5 , and A 7 -A 9 and for the coefficient C a 3 at the stations A 3 and A 6 . Hence, the maximum and minimum surges at the major part of stations are obtained for the friction coefficients given by relations (9) and (8), respectively. The analysis of the error δ computed by using relations (8)- (10) shows that it does not exceed 11% for high surges and 12.7% for low surges.…”

Section: Analysis Of the Results Of Numerical Experimentsmentioning

confidence: 99%

“…For the numerical analysis, we use the nonlinear equations of motion of a homogeneous incompressible fluid in the shallow-water approximation [8,9]: Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol, Ukraine.…”

Section: Statement Of the Problem Boundary And Initial Conditionsmentioning

confidence: 99%

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Simulation of wind-induced oscillations of the Azov-Sea level

et al. 2008

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The prognostic fields of the surface winds and atmospheric pressure obtained according to the data of the Skiron prognostic system are used to study the surge phenomena in the Azov Sea by using a three-dimensional nonlinear model. The accumulated numerical results are compared with the data of direct measurements of the sea level at the coastal stations. The degree of sensitivity of the computed levels of surges to the value of the coefficient of surface friction is evaluated.The problem of ecological safety of the coastal zone containing dangerous technogenic objects is extremely urgent for the Ukraine. The properly realized measures against the surge phenomena make it possible to create the conditions required for the safe navigation and avoid possible damage to the loaded coastal regions. However, the available data of in-situ observations do not guarantee the possibility of getting reliable empirical characteristics of the dynamics of waters under various synoptic conditions. Thus, numerical simulation can be used as one of possible procedures for the prediction of the oscillations of sea level.The numerical simulation of the dynamics of waters of the Azov Sea is realized in a series of works [1-4], where the main characteristics of wind-induced currents and surge processes are studied on the basis of linear models for typical stationary wind fields. The numerical simulation of circulation under the action of constant winds based on two-dimensional nonlinear models of shallow water is carried out in [5,6]. In [7], a three-dimensional nonlinear model [8] is used to study waves and currents formed in the Azov Sea under the action of nonstationary winds uniform over the space.In the present work, the indicated mathematical model is used for the investigation of currents and oscillations of sea level in the Azov Sea for the fields of surface winds and atmospheric pressure variable both over the space and in time and obtained by using the Skiron regional prognostic model (http://forecast.uoa.gr) based on the assimilation of the data of meteorological observations. We also perform the verification of the model by analyzing the data of direct measurements of the sea level at the Genichesk and Mariupol stations. Statement of the Problem. Boundary and Initial ConditionsWe introduce a coordinate system in which the x-, y-, and z-axes are directed eastward, northward, and vertically upward, respectively. For the numerical analysis, we use the nonlinear equations of motion of a homogeneous incompressible fluid in the shallow-water approximation [8,9]: Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol, Ukraine.

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Section: Comparison Of the Results Of Simulation With The Data Of Measupporting

confidence: 77%

Section: Analysis Of the Results Of Numerical Experimentsmentioning

confidence: 99%

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Simulation of wind-induced oscillations of the Azov-Sea level

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Section: 59mentioning

confidence: 99%

“…The water exchange between the Black Sea and Sea of Azov through the Kerch Strait under the action of baric formations is estimated in [4]. The specific features of the dynamics of waters in the Azov basin in the absence of the influence of Kerch Strait were studied in the work [5] devoted to the analysis of the influence of the parameters of cyclonic formations on surge motions by using the three-dimensional nonlinear σ-coordinate model [6,7].In the present work, a three-dimensional hydrodynamic model is used to study the action of cyclonic disturbances on the dynamics of waters in the Sea of Azov with and without taking into account the water exchange through the Kerch Strait. We also analyze the influence of the sizes of the Kerch Strait and cyclonic formations on surge motions.…”

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Influence of the Kerch Strait on surge phenomena and currents induced by cyclonic disturbances in the Sea of Azov

et al. 2009

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532.59On the basis of a numerical three-dimensional nonlinear σ-coordinate model, we study the influence of cyclonic disturbances on the dynamics of waters in the Sea of Azov with and without taking into account the water exchange through the Kerch Strait. It is shown that the presence of water exchange through the strait increases the extreme levels of the surges by up to 40%. The influence of the sizes and directions of motion of cyclonic formations on the surge phenomena is analyzed. It is shown that the fourfold increase in the size of the base of the south cyclone leads to at most threefold increase in the maximum levels of the surge. At all points of the coast, south cyclones lead to the formation of surges stronger than in the case of west cyclones by up to 15%.At present, the investigations of surge phenomena seem to be a quite urgent problem because these phenomena should necessarily be taken into account in constructing the coastal hydraulic structures, prediction of floods and extremely high waves, etc. In these studies, the determination of catastrophic elevations and lowerings of the sea level occupies a special place. The solution of this problem is especially important for the coastal regions of the seas connected by shallow straits. As follows from the data of long-term observations [1], the hurricanes induced by cyclonic activity and observed in the Sea of Azov and its coastal regions in the winter and spring periods lead to the formation of storm surges and affect the process of water exchange between the Black Sea and Sea of Azov.The problem of the influence of the Sea of Azov and Kerch Strait on the oscillations of level in the Black Sea caused by the passage of cyclones was solved in [2] by using a two-dimensional hydrodynamic model. The indicated mathematical model was applied in [3] to the analysis of the dependence of variations of the sea level on the trajectories of motion of the cyclone. The water exchange between the Black Sea and Sea of Azov through the Kerch Strait under the action of baric formations is estimated in [4]. The specific features of the dynamics of waters in the Azov basin in the absence of the influence of Kerch Strait were studied in the work [5] devoted to the analysis of the influence of the parameters of cyclonic formations on surge motions by using the three-dimensional nonlinear σ-coordinate model [6,7].In the present work, a three-dimensional hydrodynamic model is used to study the action of cyclonic disturbances on the dynamics of waters in the Sea of Azov with and without taking into account the water exchange through the Kerch Strait. We also analyze the influence of the sizes of the Kerch Strait and cyclonic formations on surge motions. Statement of the Problem. Boundary and Initial ConditionsWe introduce a coordinate system in which the x-axis is directed eastward, the y-axis is directed northward, Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol, Ukraine.

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Coupled modeling of currents and wind waves in the Kerch Strait

Фомін

Иванов

2007

Phys Oceanogr

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We present a numerical model of the dynamics of the Kerch Strait allowing one to perform the coordinated analysis of the fields of currents and wind waves. The model includes the spectral wave module and the hydrodynamic block of currents. The influence of waves on the currents is taken into account in the hydrodynamic block both via the surface and bottom tangential stresses and via the radiation stresses. In order to take into account the inverse influence of currents upon the waves, we use the fields of currents and sea level from the hydrodynamic block in the wave module. The specific features of the structure of currents and wind waves in the strait are studied for the typical wave situations. The results of the coupled and separate simulation are compared and the importance of taking into account the mechanisms of interaction between waves and currents in the analysis of the dynamic processes in the strait is demonstrated.The investigation of the dynamic processes in the Kerch Strait seems to be quite urgent for the following reasons: The exchange of water masses through the strait plays an important role in the formation of hydrological and hydrochemical conditions in the Sea of Azov, which largely determines its biological productivity. At the same time, the Kerch Strait is an independent region of fishery in the Sea-of-Azov-Black-Sea basin and the sole available way of migration of the main commercial fishes. Moreover, this strait is an extremely important sailing route joining the Sea of Azov with the Black Sea.The problem of modeling currents in the Kerch Strait is studied in numerous works whose survey can be found in [1]. In these works, the basic mechanisms of formation of currents are investigated and the most typical specific features of the large-scale dynamics of waters in the strait are analyzed. At the same time, the problem of modeling wind-induced waves in the Kerch Strait is studied in a single work [2], where the characteristics of waves are computed for 24 types of storm situations near the Kosa-Tuzla Island. Generally speaking, the results of separate modeling of currents and waves, on the one hand, are of limited scientific interest because they neglect the mechanisms of interaction of these phenomena and, on the other hand, do not meet the contemporary requirements imposed on the complex hydrometeorological support of the economical activity in the coastal zones. Indeed, to solve numerous applied problems (design of technological platforms, shore-protecting structures, deep-water discharges, and underwater pipelines), it is necessary to have a collection of compatible hydrodynamical characteristics, which can hardly be obtained within the framework of separate modeling. Since the wind-induced currents and surface waves have different space-and-time scales, the problem of modeling of these processes by a single system of hydrodynamic equations is practically unsolvable, at least for the current level of development of computers. The alternative approach is based on the coupled applicati...

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Modeling drift currents in a shallow basin with allowance for variations in tangential stresses induced by wind waves

Cited by 5 publications

References 9 publications

Simulation of wind-induced oscillations of the Azov-Sea level

Simulation of wind-induced oscillations of the Azov-Sea level

Influence of the Kerch Strait on surge phenomena and currents induced by cyclonic disturbances in the Sea of Azov

Coupled modeling of currents and wind waves in the Kerch Strait

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