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• W2036358281 abstract "A new numerical model based on the incompressible, nonhydrostatic Navier-Stokes equations for free surface flow is developed. The equations are transformed vertically to the σ coordinate system and laterally to an orthogonal curvilinear system and solved in a fractional step manner in which the pressure is split into hydrostatic and nonhydrostatic components. The model treats the nonhydrostatic term implicitly and uses a collocated grid and pressure interpolation to prevent checkerboard solutions that occur when the velocity and pressure become decoupled. Advection and hydrostatic pressure terms are integrated explicitly with a second-order accurate predictor-corrector scheme. The corrector utilizes fluxes that are computed in a Godunov-based manner by solving a Riemann problem at each cell face. Flow variables are reconstructed at each cell face to obtain second-order spatial accuracy. Numerical simulations of Stokes, cnoidal, and solitary waves with the proposed method and a reference method in which the hydrostatic pressure is implicitly integrated are compared with analytical solutions and experimental data." @default.
• W2036358281 created "2016-06-24" @default.
• W2036358281 creator A5068957521 @default.
• W2036358281 date "2005-09-01" @default.
• W2036358281 modified "2023-09-25" @default.
• W2036358281 title "Godunov-Based Model for Nonhydrostatic Wave Dynamics" @default.
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• W2036358281 doi "https://doi.org/10.1061/(asce)0733-950x(2005)131:5(226)" @default.
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