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A.A.Nesterov Semi-implicit technique for calculation of the non-hydrostatic flows with free boundary in the σ-coordinate system |
Applied hydromechanics, Vol. 14 (86) ¹ 2, (2012) |
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A numerical method for free-surface non-hydrostatic flow computation in the
σ-coordinate system is presented. The method is based on the idea of
splitting of the pressure into a hydrostatic component and a correction
term evaluated in a subsequent manner at each integration step. This
correction term is computed by solving a system of linear equations with a
25-diagonal matrix, which is obtained by substituting the discrete
formulation for the velocity field into the discrete continuity equation. A
fairly good agreement of the obtained results is shown when comparing with
the approximate analytical solutions for short waves evolution in a
rectangular basin problem, as well as the experimental data on wave
propagation characteristics over the submerged bar in a flume and
experimental data on mixing of two fluids with different densities.
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KEY WORDS: non-hydrostatic flow, 25-diagonal matrix, waves propagation |
| TEXT LANGUAGE: Russian |