Codice | MOX 10 |
Titolo | A new two-dimensional Shallow Water model including pressure effects |
Data | 2002-12-05 |
Autore/i | Ferrari, Stefania; Saleri, Fausto |
Link | Download full text |
Abstract | The motion of an incompressible fluid confined to a shallow basin with a
slightly varying bottom topography is considered. Coriolis force, surface
wind and pressure stresses, togheter with bottom and lateral friction
stresses are taken into account. We introduce appropriatescalings into a
three-dimensional anisotropic eddy viscosity model: after averaging on the
vertical direction and considering some asymptotic assumptions, we obtain a
two-dimensional modl, which approximates the three-dimensional model at
second order with respect to the ratio between the vertical scale and the
longitudinal scale. The derived model is shown to be symmetrizable through a
suitable change of variables. Finally, we propose sone numerical tests with
the aim to validate the proposed model.
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