Impact of non-hydrostatic long wave dynamics on hydrotechnical constructions

Voltzinger N.E., Klevannyy K.A.

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.

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