| 118 |
\Delta z_{20}=815\,{\rm m} |
\Delta z_{20}=815\,{\rm m} |
| 119 |
$ (here the numeric subscript indicates the model level index number, ${\tt k}$). |
$ (here the numeric subscript indicates the model level index number, ${\tt k}$). |
| 120 |
The implicit free surface form of the pressure equation described in Marshall et. al |
The implicit free surface form of the pressure equation described in Marshall et. al |
| 121 |
\cite{Marshall97a} is employed. A Laplacian operator, $\nabla^2$, provides viscous |
\cite{marshall:97a} is employed. A Laplacian operator, $\nabla^2$, provides viscous |
| 122 |
dissipation. Thermal and haline diffusion is also represented by a Laplacian operator. |
dissipation. Thermal and haline diffusion is also represented by a Laplacian operator. |
| 123 |
\\ |
\\ |
| 124 |
|
|
| 167 |
\noindent where $u$ and $v$ are the $x$ and $y$ components of the |
\noindent where $u$ and $v$ are the $x$ and $y$ components of the |
| 168 |
flow vector $\vec{u}$. The suffices ${s},{i}$ indicate surface and |
flow vector $\vec{u}$. The suffices ${s},{i}$ indicate surface and |
| 169 |
interior model levels respectively. As described in |
interior model levels respectively. As described in |
| 170 |
MITgcm Numerical Solution Procedure \cite{MITgcm_Numerical_Scheme}, the time |
MITgcm Numerical Solution Procedure \ref{chap:discretization}, the time |
| 171 |
evolution of potential temperature, $\theta$, equation is solved prognostically. |
evolution of potential temperature, $\theta$, equation is solved prognostically. |
| 172 |
The total pressure, $p$, is diagnosed by summing pressure due to surface |
The total pressure, $p$, is diagnosed by summing pressure due to surface |
| 173 |
elevation $\eta$ and the hydrostatic pressure. |
elevation $\eta$ and the hydrostatic pressure. |
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