Particular exact solutions of the hydrodynamic equations for a small sea are presented. They have been obtained under the following assumptions: sea on Earth's tangent plane; constant density; viscous-like stress tensor made up by an isotropic part and two other parts only horizontally isotropic; traceless and dissipative viscous-like stress tensor. In the search of particular exact solutions a supplementary hypothesis has been assumed: the advective part results from the gradient of suitable potentials (kinetic energy and rotational potential). Since the exact solution is considered as an initial solution in a perturbation approximation, the small Coriolis force has been neglected. For a small rectangular sea as the Adriatic sea, the solutions satisfy the conditions on the fixed boundaries (bottom and coastlines of the sea) with a very good approximation. The conditions at the free surface will be also discussed.

Particular exact solutions for a small area / Santangelo, Renato; Morelli, Sandra. - In: ANNALES GEOPHYSICAE. - ISSN 0992-7689. - STAMPA. - Special issue:(1988), pp. 66-67. (Intervento presentato al convegno European Geophysical Society General Assembly tenutosi a Bologna nel 21-25 March 1988).

Particular exact solutions for a small area

SANTANGELO, Renato;MORELLI, Sandra
1988

Abstract

Particular exact solutions of the hydrodynamic equations for a small sea are presented. They have been obtained under the following assumptions: sea on Earth's tangent plane; constant density; viscous-like stress tensor made up by an isotropic part and two other parts only horizontally isotropic; traceless and dissipative viscous-like stress tensor. In the search of particular exact solutions a supplementary hypothesis has been assumed: the advective part results from the gradient of suitable potentials (kinetic energy and rotational potential). Since the exact solution is considered as an initial solution in a perturbation approximation, the small Coriolis force has been neglected. For a small rectangular sea as the Adriatic sea, the solutions satisfy the conditions on the fixed boundaries (bottom and coastlines of the sea) with a very good approximation. The conditions at the free surface will be also discussed.
1988
Special issue
66
67
Santangelo, Renato; Morelli, Sandra
Particular exact solutions for a small area / Santangelo, Renato; Morelli, Sandra. - In: ANNALES GEOPHYSICAE. - ISSN 0992-7689. - STAMPA. - Special issue:(1988), pp. 66-67. (Intervento presentato al convegno European Geophysical Society General Assembly tenutosi a Bologna nel 21-25 March 1988).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/741066
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