Solutions of Primitive Equations for Three-dimensional Tidal Circulation

by Vincenzo Casulli, Universit `a di Trento, Povo, Italy,
Ralph T. Cheng, Universit `a di Trento, Povo, Italy,

Document Type: Proceeding Paper

Part of: Estuarine and Coastal Modeling


Readily available computing resources and new numerical methods have made it possible to reproduce detailed three-dimensional tidal circulation with very fine spatial resolution, and covering a long period of time. This paper presents a three-dimensional tidal circulation model which is formulated using primitive variables without invoking any coordinate transformation. A semi-implicit finite-difference method is used to solve the governing equations, and the computational efficiency of the numerical method is shown to be competitive or more efficient than other methods. When only one vertical layer is specified, this model reduces, as a special case, to a standard depth-averaged model. This model (TRIM-3D) has been applied successfully to very large scale simulations on commonly available workstations.

Subject Headings: Three-dimensional models | Numerical models | Finite difference method | Three-dimensional flow | Tides | Water circulation | Mathematical models | Computing in civil engineering

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