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NEMO Workspace
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Reference manuals
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24263e3a
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24263e3a
authored
3 months ago
by
Sibylle Techene
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Update file chap_DYN.tex
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Resolve "Review/update DYN chapter"
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latex/NEMO/subfiles/chap_DYN.tex
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24263e3a
...
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@@ -427,14 +427,15 @@ It is given by:
\label
{
subsec:DYN
_
vor
_
enT
}
The kinetic energy conserving scheme at T-point (ENT scheme) conserves the global kinetic energy but not the global enstrophy.
It is given by:
In this case the altered Coriolis parameter is discretised at
$
t
$
-points.
ENT scheme is given by:
\begin{equation}
\label
{
eq:DYN
_
vor
_
enT
}
\left\{
\begin{aligned}
&
+
\frac
{
1
}{
e
_{
1u
}
\,
e
_{
2u
}
\,
e
_{
3u
}}
\,
\overline
{
\left
( f
^
T
+
\overline
{
\overline
{
\zeta
}}^{
\,
i,j
}
\right
)
&
+
\frac
{
1
}{
e
_{
1u
}
\,
e
_{
2u
}
\,
e
_{
3u
}}
\,
\overline
{
\left
( f
^
T
\right
)
e
_{
1t
}
\,
e
_{
2t
}
\,
e
_{
3t
}
\,
\overline
{
v
}^{
\,
j
}}^{
\,
i+1/2
}
\\
&
-
\frac
{
1
}{
e
_{
1v
}
\,
e
_{
2v
}
\,
e
_{
3v
}}
\,
\overline
{
\left
( f
^
T
+
\overline
{
\overline
{
\zeta
}}^{
\,
i,j
}
\right
)
&
-
\frac
{
1
}{
e
_{
1v
}
\,
e
_{
2v
}
\,
e
_{
3v
}}
\,
\overline
{
\left
( f
^
T
\right
)
e
_{
1t
}
\,
e
_{
2t
}
\,
e
_{
3t
}
\,
\overline
{
u
}^{
\,
i
}}^{
\,
j+1/2
}
\end{aligned}
\right
.
...
...
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