Re-Examination of the Coriolis Effect on the Two-Dimensional Depth-Averaged Modelby Charles R. Evces, Univ of Alabama, United States,
Donald C. Raney, Univ of Alabama, United States,
Abstract: In the development of the two-dimensional depth-averaged hydrodynamic model equations, a previously ignored Coriolis component in the vertical direction is retained in the governing differential equations. The vertical Coriolis component changes the pressure gradient and has a coupling effect on the horizontal model equations. Additional terms are also introduced for cases where the numerical model coordinates are not aligned north and east on the surface of the earth. The additional terms are sensitive to depth and can be of the same order of magnitude as the Coriolis terms usually retained in depth-averaged models. The required modifications to the normally used depth-averaged models appear to be relatively straight forward.
Subject Headings: Two-dimensional models | Mathematical models | Hydrologic models | Differential equations | Numerical models | Hydrodynamics | Coupling | Terrain models
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