Changeset 11558 for NEMO/trunk/doc/latex/NEMO/subfiles/apdx_triads.tex
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- 2019-09-17T17:04:06+02:00 (5 years ago)
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NEMO/trunk/doc/latex/NEMO/subfiles/apdx_triads.tex
r11543 r11558 26 26 %-----------------------------------------nam_traldf------------------------------------------------------ 27 27 28 \nlst{namtra_ldf}29 28 %--------------------------------------------------------------------------------------------------------- 30 29 … … 202 201 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> 203 202 \begin{figure}[tb] 204 \begin{center} 205 \includegraphics[width=\textwidth]{Fig_GRIFF_triad_fluxes} 206 \caption{ 207 \protect\label{fig:TRIADS_ISO_triad} 208 (a) Arrangement of triads $S_i$ and tracer gradients to 209 give lateral tracer flux from box $i,k$ to $i+1,k$ 210 (b) Triads $S'_i$ and tracer gradients to give vertical tracer flux from 211 box $i,k$ to $i,k+1$. 212 } 213 \end{center} 203 \centering 204 \includegraphics[width=\textwidth]{Fig_GRIFF_triad_fluxes} 205 \caption[Triads arrangement and tracer gradients to give lateral and vertical tracer fluxes]{ 206 (a) Arrangement of triads $S_i$ and tracer gradients to 207 give lateral tracer flux from box $i,k$ to $i+1,k$ 208 (b) Triads $S'_i$ and tracer gradients to give vertical tracer flux from 209 box $i,k$ to $i,k+1$.} 210 \label{fig:TRIADS_ISO_triad} 214 211 \end{figure} 215 212 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 266 263 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> 267 264 \begin{figure}[tb] 268 \begin{center} 269 \includegraphics[width=\textwidth]{Fig_GRIFF_qcells} 270 \caption{ 271 \protect\label{fig:TRIADS_qcells} 272 Triad notation for quarter cells. $T$-cells are inside boxes, 273 while the $i+\fractext{1}{2},k$ $u$-cell is shaded in green and 274 the $i,k+\fractext{1}{2}$ $w$-cell is shaded in pink. 275 } 276 \end{center} 265 \centering 266 \includegraphics[width=\textwidth]{Fig_GRIFF_qcells} 267 \caption[Triad notation for quarter cells]{ 268 Triad notation for quarter cells. 269 $T$-cells are inside boxes, 270 while the $i+\fractext{1}{2},k$ $u$-cell is shaded in green and 271 the $i,k+\fractext{1}{2}$ $w$-cell is shaded in pink.} 272 \label{fig:TRIADS_qcells} 277 273 \end{figure} 278 274 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 659 655 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> 660 656 \begin{figure}[h] 661 \begin{center} 662 \includegraphics[width=\textwidth]{Fig_GRIFF_bdry_triads} 663 \caption{ 664 \protect\label{fig:TRIADS_bdry_triads} 665 (a) Uppermost model layer $k=1$ with $i,1$ and $i+1,1$ tracer points (black dots), 666 and $i+1/2,1$ $u$-point (blue square). 667 Triad slopes \triad{i}{1}{R}{1/2}{-1/2} (magenta) and \triad{i+1}{1}{R}{-1/2}{-1/2} (blue) poking through 668 the ocean surface are masked (faded in figure). 669 However, the lateral $_{11}$ contributions towards \triad[u]{i}{1}{F}{1/2}{-1/2} and 670 \triad[u]{i+1}{1}{F}{-1/2}{-1/2} (yellow line) are still applied, 671 giving diapycnal diffusive fluxes. 672 \newline 673 (b) Both near bottom triad slopes \triad{i}{k}{R}{1/2}{1/2} and 674 \triad{i+1}{k}{R}{-1/2}{1/2} are masked when either of the $i,k+1$ or $i+1,k+1$ tracer points is masked, 675 \ie\ the $i,k+1$ $u$-point is masked. 676 The associated lateral fluxes (grey-black dashed line) are masked if 677 \protect\np{ln\_botmix\_triad}\forcode{ = .false.}, but left unmasked, 678 giving bottom mixing, if \protect\np{ln\_botmix\_triad}\forcode{ = .true.} 679 } 680 \end{center} 657 \centering 658 \includegraphics[width=\textwidth]{Fig_GRIFF_bdry_triads} 659 \caption[Boundary triads]{ 660 (a) Uppermost model layer $k=1$ with $i,1$ and $i+1,1$ tracer points (black dots), 661 and $i+1/2,1$ $u$-point (blue square). 662 Triad slopes \triad{i}{1}{R}{1/2}{-1/2} (magenta) and 663 \triad{i+1}{1}{R}{-1/2}{-1/2} (blue) poking through the ocean surface are masked 664 (faded in figure). 665 However, 666 the lateral $_{11}$ contributions towards \triad[u]{i}{1}{F}{1/2}{-1/2} and 667 \triad[u]{i+1}{1}{F}{-1/2}{-1/2} (yellow line) are still applied, 668 giving diapycnal diffusive fluxes. 669 \newline 670 (b) Both near bottom triad slopes \triad{i}{k}{R}{1/2}{1/2} and 671 \triad{i+1}{k}{R}{-1/2}{1/2} are masked when 672 either of the $i,k+1$ or $i+1,k+1$ tracer points is masked, 673 \ie\ the $i,k+1$ $u$-point is masked. 674 The associated lateral fluxes (grey-black dashed line) are masked if 675 \protect\np{ln\_botmix\_triad}\forcode{ = .false.}, but left unmasked, 676 giving bottom mixing, if \protect\np{ln\_botmix\_triad}\forcode{ = .true.}} 677 \label{fig:TRIADS_bdry_triads} 681 678 \end{figure} 682 679 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 811 808 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> 812 809 \begin{figure}[h] 813 % \fcapside { 814 \ caption{815 \protect\label{fig:TRIADS_MLB_triad}810 \centering 811 \includegraphics[width=\textwidth]{Fig_GRIFF_MLB_triads} 812 \caption[Definition of mixed-layer depth and calculation of linearly tapered triads]{ 816 813 Definition of mixed-layer depth and calculation of linearly tapered triads. 817 The figure shows a water column at a given $i,j$ (simplified to $i$), with the ocean surface at the top. 814 The figure shows a water column at a given $i,j$ (simplified to $i$), 815 with the ocean surface at the top. 818 816 Tracer points are denoted by bullets, and black lines the edges of the tracer cells; 819 817 $k$ increases upwards. 820 818 \newline 821 \hspace{5 em} 822 We define the mixed-layer by setting the vertical index of the tracer point immediately below the mixed layer, 823 $k_{\mathrm{ML}}$, as the maximum $k$ (shallowest tracer point) such that 819 We define the mixed-layer by setting the vertical index of the tracer point immediately below 820 the mixed layer, $k_{\mathrm{ML}}$, as the maximum $k$ (shallowest tracer point) such that 824 821 ${\rho_0}_{i,k}>{\rho_0}_{i,k_{10}}+\Delta\rho_c$, 825 822 where $i,k_{10}$ is the tracer gridbox within which the depth reaches 10~m. … … 830 827 Triads with different $i_p,k_p$, denoted by different colours, 831 828 (\eg\ the green triad $i_p=1/2,k_p=-1/2$) are tapered to the appropriate basal triad.} 832 % } 833 \includegraphics[width=\textwidth]{Fig_GRIFF_MLB_triads} 829 \label{fig:TRIADS_MLB_triad} 834 830 \end{figure} 835 831 % 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