Changeset 9414 for branches/2017/dev_merge_2017/DOC/tex_sub/annex_A.tex
- Timestamp:
- 2018-03-21T15:39:48+01:00 (6 years ago)
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
branches/2017/dev_merge_2017/DOC/tex_sub/annex_A.tex
r9408 r9414 16 16 % ================================================================ 17 17 \section{Chain rule for $s-$coordinates} 18 \label{sec:A_c ontinuity}18 \label{sec:A_chain} 19 19 20 20 In order to establish the set of Primitive Equation in curvilinear $s$-coordinates … … 382 382 Applying similar manipulation to the second component and replacing 383 383 $\sigma _1$ and $\sigma _2$ by their expression \autoref{apdx:A_s_slope}, it comes: 384 \begin{equation} \label{apdx:A_grad_p }384 \begin{equation} \label{apdx:A_grad_p_1} 385 385 \begin{split} 386 386 -\frac{1}{\rho _o \, e_1 } \left. {\frac{\partial p}{\partial i}} \right|_z … … 394 394 \end{equation} 395 395 396 An additional term appears in (\autoref{apdx:A_grad_p }) which accounts for the396 An additional term appears in (\autoref{apdx:A_grad_p_1}) which accounts for the 397 397 tilt of $s-$surfaces with respect to geopotential $z-$surfaces. 398 398 … … 416 416 \end{equation*} 417 417 418 Substituing \autoref{apdx:A_pressure} in \autoref{apdx:A_grad_p } and using the definition of418 Substituing \autoref{apdx:A_pressure} in \autoref{apdx:A_grad_p_1} and using the definition of 419 419 the density anomaly it comes the expression in two parts: 420 \begin{equation} \label{apdx:A_grad_p }420 \begin{equation} \label{apdx:A_grad_p_2} 421 421 \begin{split} 422 422 -\frac{1}{\rho _o \, e_1 } \left. {\frac{\partial p}{\partial i}} \right|_z … … 430 430 \end{equation} 431 431 This formulation of the pressure gradient is characterised by the appearance of a term depending on the 432 the sea surface height only (last term on the right hand side of expression \autoref{apdx:A_grad_p }).432 the sea surface height only (last term on the right hand side of expression \autoref{apdx:A_grad_p_2}). 433 433 This term will be loosely termed \textit{surface pressure gradient} 434 434 whereas the first term will be termed the
Note: See TracChangeset
for help on using the changeset viewer.