| 191 |
ocean may be influenced by rotation when the deformation radius is smaller |
ocean may be influenced by rotation when the deformation radius is smaller |
| 192 |
than the width of the cooling region. Rather than gravity plumes, the |
than the width of the cooling region. Rather than gravity plumes, the |
| 193 |
mechanism for moving dense fluid down the shelf is then through geostrophic |
mechanism for moving dense fluid down the shelf is then through geostrophic |
| 194 |
eddies. The simulation shown in the figure \ref{fig::convect-and-topo} |
eddies. The simulation shown in the figure \ref{fig:convect-and-topo} |
| 195 |
(blue is cold dense fluid, red is |
(blue is cold dense fluid, red is |
| 196 |
warmer, lighter fluid) employs the non-hydrostatic capability of MITgcm to |
warmer, lighter fluid) employs the non-hydrostatic capability of MITgcm to |
| 197 |
trigger convection by surface cooling. The cold, dense water falls down the |
trigger convection by surface cooling. The cold, dense water falls down the |
| 351 |
|
|
| 352 |
\begin{equation} |
\begin{equation} |
| 353 |
\frac{DS}{Dt}=\mathcal{Q}_{S}\text{ humidity/salinity} |
\frac{DS}{Dt}=\mathcal{Q}_{S}\text{ humidity/salinity} |
| 354 |
\label{eq:humidtity_salt} |
\label{eq:humidity_salt} |
| 355 |
\end{equation} |
\end{equation} |
| 356 |
|
|
| 357 |
Here: |
Here: |
| 525 |
atmosphere)} \label{eq:moving-bc-atmos} |
atmosphere)} \label{eq:moving-bc-atmos} |
| 526 |
\end{eqnarray} |
\end{eqnarray} |
| 527 |
|
|
| 528 |
Then the (hydrostatic form of) equations (\ref{eq:horizontal_mtm}-\ref{eq:humidity_slainty}) |
Then the (hydrostatic form of) equations (\ref{eq:horizontal_mtm}-\ref{eq:humidity_salt}) |
| 529 |
yields a consistent set of atmospheric equations which, for convenience, are written out in $p$ |
yields a consistent set of atmospheric equations which, for convenience, are written out in $p$ |
| 530 |
coordinates in Appendix Atmosphere - see eqs(\ref{eq:atmos-prime}). |
coordinates in Appendix Atmosphere - see eqs(\ref{eq:atmos-prime}). |
| 531 |
|
|
| 562 |
\end{eqnarray} |
\end{eqnarray} |
| 563 |
where $\eta $ is the elevation of the free surface. |
where $\eta $ is the elevation of the free surface. |
| 564 |
|
|
| 565 |
Then equations (\ref{eq:horizontal_mtm}-\ref{eq:humidity_slainty}) yield a consistent set |
Then equations (\ref{eq:horizontal_mtm}-\ref{eq:humidity_salt}) yield a consistent set |
| 566 |
of oceanic equations |
of oceanic equations |
| 567 |
which, for convenience, are written out in $z$ coordinates in Appendix Ocean |
which, for convenience, are written out in $z$ coordinates in Appendix Ocean |
| 568 |
- see eqs(\ref{eq:ocean-mom}) to (\ref{eq:ocean-salt}). |
- see eqs(\ref{eq:ocean-mom}) to (\ref{eq:ocean-salt}). |
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