Modeling of the two-dimensional flow caused by sea conditions and wind stresses on the example of Dead Vistula

• Autorzy: Zima P.

Identyfikatory

DOI

10.2478/pomr-2018-0038

• Języki publikacji: EN

Abstrakty

EN

The article presents the results of two-dimensional modeling of flows caused by the sea conditions and wind stresses on the example of Dead Vistula. Based on the available bathymetric data, a numerical model of the river section was created, which was supplemented with data on the position of the water table depending on hydrometeorological conditions. To describe the flow field in steady conditions, a simplified model of two-dimensional flow in the form of the bi-harmonic Helmholtz equation for the current function has been adopted, taking into account additional impacts caused by wind stresses on the water surface. Then the current function was converted into the velocity vector components. This equation, supplemented with appropriate boundary conditions, has been solved numerically using the finite difference method. On the basis of the available literature, 4 variants of hydrometeorological conditions were adopted, depending on the direction and strength of wind and sea conditions. The obtained results were compared with the results of published measurements taken on the studied section of the river. These calculations were the basis for the implementation of a two-dimensional model of the spread of pollutants in the studied section of the Dead Vistula.

Słowa kluczowe

EN

two-dimensional model of flow; bi-harmonic Helmholtz equation; hydrodynamics of water flow

• Wydawca: Gdańsk University of Technology, Faculty of Ocean Engineering & Ship Technology
• Czasopismo: Polish Maritime Research
• Rocznik: 2018
• Tom: S 1
• Strony: 166--171
• Opis fizyczny: Bibliogr. 10 poz., rys., tab.

Twórcy

autor

Zima P.

• Gdańsk University of Technology, Poland

Bibliografia

• 1. Anderson J. D.: Computational Fluid Dynamics. The Basics with Applications, McGraw-Hill Inc., New York (1995), pp. 1–547
• 2. Jasińska E.: Hydrology and hydrodynamics of the Martwa Vistula and Vistula Przekop, (in Polish), Wydawnictwo Instytutu Budownictwa Wodnego Polskiej Akademii Nauk, Gdańsk (2002), pp. 1-133
• 3. Potter D. E.: Computational Physics, John Wiley & Sons Ltd., Chichester (1980), pp.1-304
• 4. Sawicki J.M., Zima P.: The Influence of Mixed Derivatives on The Mathematical Simulation of Pollutants Transfer. 4th International Conference on Water Pollution, Slovenia (1997), pp. 627-635
• 5. Szydłowski M., Szpakowski W., Zima P.: Numerical simulation of catastrophic flood: the case study of hypothetical failure of the Bielkowo hydro-power plant reservoir, Acta Geophysica (2013), pp. 1229-1245
• 6. Szymkiewicz R.: Numerical Modeling in Open Channel Hydraulics, Book Series: Water Science and Technology Library, vol. 83 (2010), pp. 1-419
• 7. Tan W.Y.: Shallow Water Hydrodynamics, Mathematical Theory and Numerical Solution for a Two-dimensional System of Shallow Water Equations, Elsevier Oceanography Series, vol. 55 (1992), pp. 1-434
• 8. Wielgat P, Zima P.: Analysis of the impact of the planned sewage discharge from the ’North’ Power Plant on the Vistula water quality, 16th International Multidisciplinary Scientific GeoConference SGEM 2016, Vienna, Book 3 Vol. 3 (2016), pp. 19-26
• 9. Zima P.: Investigations on water circulation in animal seawater basins – on the example of seals’ breeding pools, Polish Maritime Research, Vol. 24 (2017), No S1(93), pp. 224-229
• 10. Zima P.: Mathematical Modeling of the Impact Range of Sewage Discharge on the Vistula Water Quality in the Region of Włocławek. Chapter in book: Free Surface Flows and Transport Processes. Verlag: Springer Int. Publishing (2018), pp. 489-502

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).