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- W778535522 abstract "Hydrodynamic pressure model and application problems are presented to analyze free surface flow in this study. The governing equations for an unsteady incompressible fluid employ the continuity equation and inviscid Navier-Stokes equation. For the turbulence closed problem, k-e model is employed and turbulence eddy viscosity is resolved. Numerical simulations are conducted in three steps to calculate the velocity component in each direction, the free surface elevations and the hydrodynamic pressures. At the first step, the momentum equations are discretized by using a semi-implicit method over the vertical direction. At the second step, velocity fractional equations with hydrodynamic pressure correction terms are substituted into the continuity equation, which yields an elliptic equation called as the hydrodynamic pressure-Poisson equation. The local mass can be, therefore, conserved by solving that elliptic equation. Finally, the free surface elevation and the final velocities are computed by substituting into the continuity equation. The numerical accuracy is verified by comparing numerical results with analytical solutions of the sloshing free surface movement at a square basin and solitary wave propagation in a rectangular. The overall agreement between calculated and analytical solutions is excellent. Also, numerical calculation for the propagation phase of non-linear wave in submerged bar and wave deformation in elliptic shoal are conducted and results of numerical model show good agreement with experimental data." @default.
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- W778535522 date "2007-01-01" @default.
- W778535522 modified "2023-09-23" @default.
- W778535522 title "Hydrodynamic Pressure Models for Free Surface Flow" @default.
- W778535522 hasPublicationYear "2007" @default.
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