An Analytical Solution to Verify a Nonlinear Tidal Circulation Model

by T. S. Wu, Northwest Florida Water Management, District, United States,
G. S. Janowitz, Northwest Florida Water Management, District, United States,



Document Type: Proceeding Paper

Part of: Hydraulic Engineering

Abstract:

The governing equations for this study are the shallow water equations including convective terms. Oscillations of free surface are assumed important in comparison to the total water depth. A feasible perturbation method has been chosen to obtain the analytic solution. The harbor size is taken to be small compared to the length scale of the shallow water over ocean gravity wave. The analytical solution can be used for the verification of numerical models. The numerical model used for verification in this study is a fully implicit finite difference method with a space-staggered scheme. For the purpose of verifying the nonlinear accuracy in this numerical model, this study has compared the maximum difference of water elevation between the perturbation solution and numerical solution.

Subject Headings: Numerical models | Water circulation | Numerical analysis | Tides | Verification | Mathematical models | Shallow water

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