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Next: 3.8.2 Discrete Numerical Configuration Up: 3.8 Barotropic Gyre MITgcm Previous: 3.8 Barotropic Gyre MITgcm   Contents


3.8.1 Equations Solved

The model is configured in hydrostatic form. The implicit free surface form of the pressure equation described in Marshall et. al [39] is employed. A horizontal Laplacian operator $ \nabla_{h}^2$ provides viscous dissipation. The wind-stress momentum input is added to the momentum equation for the ``zonal flow'', $ u$. Other terms in the model are explicitly switched off for this experiment configuration (see section 3.15.4 ), yielding an active set of equations solved in this configuration as follows


$\displaystyle \frac{Du}{Dt} - fv + g\frac{\partial \eta}{\partial x} - A_{h}\nabla_{h}^2u$ $\displaystyle =$ $\displaystyle \frac{\tau_{x}}{\rho_{0}\Delta z}$ (3.3)
$\displaystyle \frac{Dv}{Dt} + fu + g\frac{\partial \eta}{\partial y} - A_{h}\nabla_{h}^2v$ $\displaystyle =$ 0 (3.4)
$\displaystyle \frac{\partial \eta}{\partial t} + \nabla_{h}\cdot \vec{u}$ $\displaystyle =$ 0 (3.5)

where $ u$ and $ v$ and the $ x$ and $ y$ components of the flow vector $ \vec{u}$.


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