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Next: 3.9.2 Discrete Numerical Configuration Up: 3.9 Barotropic Gyre MITgcm Previous: 3.9 Barotropic Gyre MITgcm   Contents

3.9.1 Equations Solved

The model is configured in hydrostatic form. The implicit free surface form of the pressure equation described in Marshall et. al Marshall et al. [1997b] 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 3.9.3 ), 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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