/[MITgcm]/manual/s_algorithm/text/mom_vecinv.tex
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revision 1.5 by jmc, Tue Aug 2 20:54:44 2005 UTC revision 1.6 by jmc, Mon Jun 26 01:03:47 2006 UTC
# Line 48  G_w & = & G_w^{fu} + G_w^{\zeta_1 v} + G Line 48  G_w & = & G_w^{fu} + G_w^{\zeta_1 v} + G
48  \end{eqnarray}  \end{eqnarray}
49    
50  \fbox{ \begin{minipage}{4.75in}  \fbox{ \begin{minipage}{4.75in}
51  {\em S/R CALC\_MOM\_RHS} ({\em pkg/mom\_vecinv/calc\_mom\_rhs.F})  {\em S/R MOM\_VECINV} ({\em pkg/mom\_vecinv/mom\_vecinv.F})
52    
53  $G_u$: {\bf Gu} ({\em DYNVARS.h})  $G_u$: {\bf Gu} ({\em DYNVARS.h})
54    
# Line 75  the vertical and $\Gamma$ is the circula Line 75  the vertical and $\Gamma$ is the circula
75  \fbox{ \begin{minipage}{4.75in}  \fbox{ \begin{minipage}{4.75in}
76  {\em S/R MOM\_VI\_CALC\_RELVORT3} ({\em mom\_vi\_calc\_relvort3.F})  {\em S/R MOM\_VI\_CALC\_RELVORT3} ({\em mom\_vi\_calc\_relvort3.F})
77    
78  $\zeta_3$: {\bf vort3} (local to {\em calc\_mom\_rhs.F})  $\zeta_3$: {\bf vort3} (local to {\em mom\_vecinv.F})
79  \end{minipage} }  \end{minipage} }
80    
81    
# Line 90  KE = \frac{1}{2} ( \overline{ u^2 }^i + Line 90  KE = \frac{1}{2} ( \overline{ u^2 }^i +
90  \fbox{ \begin{minipage}{4.75in}  \fbox{ \begin{minipage}{4.75in}
91  {\em S/R MOM\_VI\_CALC\_KE} ({\em mom\_vi\_calc\_ke.F})  {\em S/R MOM\_VI\_CALC\_KE} ({\em mom\_vi\_calc\_ke.F})
92    
93  $KE$: {\bf KE} (local to {\em calc\_mom\_rhs.F})  $KE$: {\bf KE} (local to {\em mom\_vecinv.F})
94  \end{minipage} }  \end{minipage} }
95    
96    
# Line 150  available only through commented subrout Line 150  available only through commented subrout
150    
151  {\em S/R MOM\_VI\_V\_CORIOLIS} ({\em mom\_vi\_v\_coriolis.F})  {\em S/R MOM\_VI\_V\_CORIOLIS} ({\em mom\_vi\_v\_coriolis.F})
152    
153  $G_u^{fv}$, $G_u^{\zeta_3 v}$: {\bf uCf} (local to {\em calc\_mom\_rhs.F})  $G_u^{fv}$, $G_u^{\zeta_3 v}$: {\bf uCf} (local to {\em mom\_vecinv.F})
154    
155  $G_v^{fu}$, $G_v^{\zeta_3 u}$: {\bf vCf} (local to {\em calc\_mom\_rhs.F})  $G_v^{fu}$, $G_v^{\zeta_3 u}$: {\bf vCf} (local to {\em mom\_vecinv.F})
156  \end{minipage} }  \end{minipage} }
157    
158    
# Line 179  G_v^{\zeta_1 w} & = & Line 179  G_v^{\zeta_1 w} & = &
179    
180  {\em S/R MOM\_VI\_V\_VERTSHEAR} ({\em mom\_vi\_v\_vertshear.F})  {\em S/R MOM\_VI\_V\_VERTSHEAR} ({\em mom\_vi\_v\_vertshear.F})
181    
182  $G_u^{\zeta_2 w}$: {\bf uCf} (local to {\em calc\_mom\_rhs.F})  $G_u^{\zeta_2 w}$: {\bf uCf} (local to {\em mom\_vecinv.F})
183    
184  $G_v^{\zeta_1 w}$: {\bf vCf} (local to {\em calc\_mom\_rhs.F})  $G_v^{\zeta_1 w}$: {\bf vCf} (local to {\em mom\_vecinv.F})
185  \end{minipage} }  \end{minipage} }
186    
187    
# Line 202  G_v^{\partial_y B} & = & Line 202  G_v^{\partial_y B} & = &
202    
203  {\em S/R MOM\_VI\_V\_GRAD\_KE} ({\em mom\_vi\_v\_grad\_ke.F})  {\em S/R MOM\_VI\_V\_GRAD\_KE} ({\em mom\_vi\_v\_grad\_ke.F})
204    
205  $G_u^{\partial_x KE}$: {\bf uCf} (local to {\em calc\_mom\_rhs.F})  $G_u^{\partial_x KE}$: {\bf uCf} (local to {\em mom\_vecinv.F})
206    
207  $G_v^{\partial_y KE}$: {\bf vCf} (local to {\em calc\_mom\_rhs.F})  $G_v^{\partial_y KE}$: {\bf vCf} (local to {\em mom\_vecinv.F})
208  \end{minipage} }  \end{minipage} }
209    
210    
211    
212  \subsection{Horizontal dissipation}  \subsection{Horizontal divergence}
213    
214  The horizontal divergence, a complimentary quantity to relative  The horizontal divergence, a complimentary quantity to relative
215  vorticity, is used in parameterizing the Reynolds stresses and is  vorticity, is used in parameterizing the Reynolds stresses and is
# Line 223  D = \frac{1}{{\cal A}_c h_c} ( Line 223  D = \frac{1}{{\cal A}_c h_c} (
223  \fbox{ \begin{minipage}{4.75in}  \fbox{ \begin{minipage}{4.75in}
224  {\em S/R MOM\_VI\_CALC\_HDIV} ({\em mom\_vi\_calc\_hdiv.F})  {\em S/R MOM\_VI\_CALC\_HDIV} ({\em mom\_vi\_calc\_hdiv.F})
225    
226  $D$: {\bf hDiv} (local to {\em calc\_mom\_rhs.F})  $D$: {\bf hDiv} (local to {\em mom\_vecinv.F})
227  \end{minipage} }  \end{minipage} }
228    
229    
# Line 254  D^* & = & \frac{1}{{\cal A}_c h_c} ( Line 254  D^* & = & \frac{1}{{\cal A}_c h_c} (
254  \fbox{ \begin{minipage}{4.75in}  \fbox{ \begin{minipage}{4.75in}
255  {\em S/R MOM\_VI\_HDISSIP} ({\em mom\_vi\_hdissip.F})  {\em S/R MOM\_VI\_HDISSIP} ({\em mom\_vi\_hdissip.F})
256    
257  $G_u^{h-dissip}$: {\bf uDiss} (local to {\em calc\_mom\_rhs.F})  $G_u^{h-dissip}$: {\bf uDiss} (local to {\em mom\_vecinv.F})
258    
259  $G_v^{h-dissip}$: {\bf vDiss} (local to {\em calc\_mom\_rhs.F})  $G_v^{h-dissip}$: {\bf vDiss} (local to {\em mom\_vecinv.F})
260  \end{minipage} }  \end{minipage} }
261    
262    
# Line 282  In the interior the vertical stresses ar Line 282  In the interior the vertical stresses ar
282    
283  {\em S/R MOM\_V\_RVISCLFUX} ({\em mom\_v\_rviscflux.F})  {\em S/R MOM\_V\_RVISCLFUX} ({\em mom\_v\_rviscflux.F})
284    
285  $\tau_{13}$: {\bf urf} (local to {\em calc\_mom\_rhs.F})  $\tau_{13}$: {\bf urf} (local to {\em mom\_vecinv.F})
286    
287  $\tau_{23}$: {\bf vrf} (local to {\em calc\_mom\_rhs.F})  $\tau_{23}$: {\bf vrf} (local to {\em mom\_vecinv.F})
288  \end{minipage} }  \end{minipage} }
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