The model includes complex forcing such as surface fluxes (momentum, heat and evaporation), river runoffs (heat and salinity), solar and backward radiation and tides.
A horizontally equally spaced Ararakawa E grid with the vertical z-coordinate divided in geopotential layers of equal thickness was applied. The model is designed to be applied on basins like the Adriatic Sea or little.
The model's numerical approach where, the integration volume is considered as the set of three-dimensional grid's boxes of equal dimension, is suitable in ecological modeling due to facile inclusion of biological box models.

Temperature at Open Boundary in the Hydrodynamic Sea Models

Abstract:
In the numerical simulations of the semi-closed basin hydrodynamics, generally, only the initial temperature field at the open boundary cross section is known. Taking these values constant for one month or longer, the unrealistic gradients at the open boundary may be generated. The sea surface hydrodynamics strongly depends on the forcing from atmosphere and the temperature at the open boundary can not be too different from the temperature in the integration area near the boundary. It is reasonable to connect the temperature changes in the integration area with the values at the open boundary, in some way. Here, the weighted average between the value at the open boundary and the value at the first interior grid point along the normal is discussed and it is illustrated with the results of the numerical experiments.

by Mario Bone
from International Journal of Pure and Applied Mathematics, 45(3) 2008, p. 391-396

Perturbation Series of the Euler Hydrodinamic Equations at Low Froud's Number

Abstract:
Motions of the ocean and atmosphere are characterized by the large Reynolds and small Froud numbers. In order to describe these motions the Euler equations of ideal fluid are considered and the expansion in perturbation series is obtained using the dimensionless form depending on the Froud number. It is shown that expanding the dimensionless Euler momentum equation in the perturbation series it is defined only for the fluid in motion. The perturbation is singular and should include the zero order velocities in the perturbation series. In the C. Eckart notation motions of the atmosphere and oceans were considered as first or higher order perturbation terms which complicates definition of the first order energy equation. Taking into account singularity of the expansion the first order energy equation follows clearly from the applied perturbation method. The obtained equation has the form accepted by C. Eckart, apart that in the perturbation series the first order velocities are of the zero order due to the singularity of the series.

by Mario Bone
from International Journal of Pure and Applied Mathematics, 49(1) 2008, p. 331-134