Y.V.Kanarska, V.S.Maderich
Numerical non-hydrostatic model for stratified flows with a free surface

Applied hydromechanics, Vol. 4 (76) ¹ 3, (2002) p.12-21
A three-dimensional nonhydrostatic numerical model for simulation of free-surface flows is presented. Decomposition of pressure and velocity fields on hydrostatic and nonhydrostatic components is the base of the model. Computation was carried out using three-stage procedure with vertical s-coordinate and internal-external mode splitting technique. At the first stage 2D depth-integrated momentum and continuity equations were integrated explicitly for surface elevation obtaining. At the second stage the intermediate 3D hydrostatic structure of velocity and pressure was calculated using semiimplicit scheme. At the third stage nonhydrostatic components of velocity and pressure were calculated using preconditioned conjugate gradient method. The model is tested against analytical solutions on the free oscillations in deep rectangular basin and laboratory experiments on steep wave transformation over the longshore bar, on solitary wave reflection with the vertical wall. The efficiency of a developed method is shown with example of "lock-exchange" flow.
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TEXT LANGUAGE: Russian