Changeset 11351 for NEMO/trunk

Timestamp:

2019-07-25T15:47:05+02:00 (5 years ago)

Author:

davestorkey

Message:

Documentation: correction to slope definitions in Appendix B.

File:

• NEMO/trunk/doc/latex/NEMO/subfiles/annex_B.tex (modified) (2 diffs)

NEMO/trunk/doc/latex/NEMO/subfiles/annex_B.tex

@@ -180 +180 @@
       }} \right]
 \end{equation}
-where ($a_1$, $a_2$) are the isopycnal slopes in ($\textbf{i}$, $\textbf{j}$) directions, relative to geopotentials:
+where ($a_1$, $a_2$) are $(-1) \times$ the isopycnal slopes in
+($\textbf{i}$, $\textbf{j}$) directions, relative to geopotentials (or
+equivalently the slopes of the geopotential surfaces in the isopycnal
+coordinate framework):
 \[
   a_1 =\frac{e_3 }{e_1 }\left( {\frac{\partial \rho }{\partial i}} \right)\left( {\frac{\partial \rho }{\partial k}} \right)^{-1}
@@ -282 +285 @@
 \end{equation}
 
-where ($r_1$, $r_2$) are the isopycnal slopes in ($\textbf{i}$, $\textbf{j}$) directions,
-relative to $s$-coordinate surfaces:
+where ($r_1$, $r_2$) are $(-1)\times$ the isopycnal slopes in ($\textbf{i}$, $\textbf{j}$) directions,
+relative to $s$-coordinate surfaces (or equivalently the slopes of the
+$s$-coordinate surfaces in the isopycnal coordinate framework):
 \[
   r_1 =\frac{e_3 }{e_1 }\left( {\frac{\partial \rho }{\partial i}} \right)\left( {\frac{\partial \rho }{\partial s}} \right)^{-1}