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Impact of non-hydrostatic long wave dynamics on hydrotechnical constructions

https://doi.org/10.7868/S2073667319020084

Abstract

For modeling of long-wave impact on hydraulic engineering constructions the boundary value problem in three-dimensional area for the equations of the motion, continuity, constituents of density and characteristics of turbulence is set. The problem is solved by finite-difference fractional time method; non-hydrostatic component of pressure is defined at the final stage by the solution of a boundary value problem for the Poisson’s equation. Calculations are carried out by means of the program system CARDINAL. The boundary-fitted curvilinear grid is used, in the vertical direction s-transformation is used. Characteristics of turbulence are calculated with the help of k-e model. The numerical method is tested on simplified examples. Assessment of influence of non-hydrostatic pressure component is made with calculation of extreme tsunami on a water intake of nuclear power plant El-Dabaa, Egypt projected on the Mediterranean coast and calculation of the velocity field during the storm surge in the navigation canal of St.-Petersburg Flood Protection Barrier. It is revealed that in non-hydrostatic solution at an entrance to narrowness, on a bottom raising increase in vertical velocities from bottom to surface, causes local rise in water level here. The provided applications of a method show what dynamic component of pressure can modify considerably structure of currents on elements of the hydraulic engineering constructions.

About the Authors

N. E. Voltzinger
Shirshov Institute of Oceanology of Russian Academy of Sciences
Russian Federation

Moscow



K. A. Klevannyy
LLC CARDINAL-Soft
Russian Federation

St.-Petersburg



References

1. Voltzinger N.E., Klevannyy K.A., Pelinovsky E.N. Long–wave dynamics of coastal zone. Leningrad: Gidrometeoizdat, 1989. 270 p. (in Russian).

2. Marchuk G.I., Kagan B.A. Dynamics of ocean tides. Kluwer Academic Publishers, 1989. 380 p.

3. Stoker J.J. Water waves. John Wiley and Sons, 1958. 617 p.

4. Voltzinger N.E., Androsov A.A., Klevannyy K.A., Safrai A.S. Oceanological models of non hydrostatic dynamics. A review. Fundamentalnaya i Prikladnaya Gidrofizika. 2018, 11, 1, 3–20 (in Russian).

5. Beisel S.A., Chubarov L.B., Dutykh D. Simulation of surface waves generated by an underwater landslides in a bounded reservoir. Rus. J. Numer. Anal. Math. Modelling. 1997, 12, 2, 127–149.

6. Kanarska Y., Shchepetkin A., Mc Williams J.C. Algorithm for non-hydrostatic dynamics in the Regional Oceanic Modeling System. Ocean Model. J. 2007, 18, 143–147.

7. Oliger J., Sundström A. Theoretical and practical aspects of some initial boundary-value problems in fluid dynamics. SIAM J. Appl. Math. 1978, 35, 3, 419–445.

8. Voltzinger N.E., Zolnikov A.V., Klevannyy K.A., Preobrazhensky L. Yu. Calculation of hydrological regime of Neva Bay. Meteorologia i Gidrologia. 1990, 1, 70–77 (in Russian).

9. Kocyigit M.B., Falconer A., Lin B. Three-dimensional numerical modelling of free-surface flows with non-hydrostatic pressure. Int. J. for Numer. Math. Fluids. 2002, 40, 1145–1162.

10. Klevannyy K.A., Glyantseva O.V. Influence of St.Petersburg Flood Ptotection Barrier on water regime in Neva Bay. Proc. 7th International Environment Forum Baltic Sea Day. St.-Petersburg, Dialog, 2006, 529–532.

11. Klevannyy K.A., Smirnova E.V. Applications of program system CARDINAL. Journal of University of maritime and inland shipping. 2009, 1, 153–162 (in Russian).

12. CARDINAL – program for hydrodynamical and hydroecological modeling (Cardinal-Soft LLC). URL: http://cardinalhydrosoft.com (date of access: 09.11.2018).

13. Klevannyy K.A., Matveyev G.V., Voltzinger N.E. Integrated modeling system for coastal area dynamics. Int. J. for Numer. Meth. Fluids. 1994, 19, 3, 181–206.

14. Dean R.J., Dalrymple R.A. Water wave mechanics for engineers and scientists. World Scientific. 1991.

15. Soloviev S.L., Solovieva O.N., Go Ch.N., Kim Kh.S., Schetnikov N.A. Tsunamis in the Mediterranean Sea 2000 B.C. A.D. Kluwer, 2000.

16. Zaitsev A.I., Kliachko M.A., Kurkin A.A., Pelinovsky E.N., Yalciner A.C. Impact of tsunami on shores and constructions. Proc. 14th All-Russian conference Advanced technologies of hydroacoustics and hydrophysics. St.-Petersburg, 2018, 27–31 (in Russian).

17. Klevannyy K.A., Kolesov A.M., Mostamandi M.-S. V. Predicting the floods in St.-Petersburg and the eastern part of the gulf of Finland under conditions of operation of the flood prevention facility complex. Russian Meteorology and Hydrology. 2015, 40, N2, P. 115–122.


Review

For citations:


Voltzinger N.E., Klevannyy K.A. Impact of non-hydrostatic long wave dynamics on hydrotechnical constructions. Fundamental and Applied Hydrophysics. 2019;12(2):66-76. (In Russ.) https://doi.org/10.7868/S2073667319020084

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