Changeset 11558 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_TRA.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/chap_TRA.tex
r11552 r11558 65 65 %------------------------------------------namtra_adv----------------------------------------------------- 66 66 67 \nlst{namtra_adv} 67 \begin{listing} 68 \nlst{namtra_adv} 69 \caption{\texttt{namtra\_adv}} 70 \label{lst:namtra_adv} 71 \end{listing} 68 72 %------------------------------------------------------------------------------------------------------------- 69 73 … … 90 94 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 91 95 \begin{figure}[!t] 92 \begin{center} 93 \includegraphics[width=\textwidth]{Fig_adv_scheme} 94 \caption{ 95 \protect\label{fig:TRA_adv_scheme} 96 Schematic representation of some ways used to evaluate the tracer value at $u$-point and 97 the amount of tracer exchanged between two neighbouring grid points. 98 Upsteam biased scheme (ups): 99 the upstream value is used and the black area is exchanged. 100 Piecewise parabolic method (ppm): 101 a parabolic interpolation is used and the black and dark grey areas are exchanged. 102 Monotonic upstream scheme for conservative laws (muscl): 103 a parabolic interpolation is used and black, dark grey and grey areas are exchanged. 104 Second order scheme (cen2): 105 the mean value is used and black, dark grey, grey and light grey areas are exchanged. 106 Note that this illustration does not include the flux limiter used in ppm and muscl schemes. 107 } 108 \end{center} 96 \centering 97 \includegraphics[width=\textwidth]{Fig_adv_scheme} 98 \caption[Ways to evaluate the tracer value and the amount of tracer exchanged]{ 99 Schematic representation of some ways used to evaluate the tracer value at $u$-point and 100 the amount of tracer exchanged between two neighbouring grid points. 101 Upsteam biased scheme (ups): 102 the upstream value is used and the black area is exchanged. 103 Piecewise parabolic method (ppm): 104 a parabolic interpolation is used and the black and dark grey areas are exchanged. 105 Monotonic upstream scheme for conservative laws (muscl): 106 a parabolic interpolation is used and black, dark grey and grey areas are exchanged. 107 Second order scheme (cen2): 108 the mean value is used and black, dark grey, grey and light grey areas are exchanged. 109 Note that this illustration does not include the flux limiter used in ppm and muscl schemes.} 110 \label{fig:TRA_adv_scheme} 109 111 \end{figure} 110 112 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 435 437 %-----------------------------------------nam_traldf------------------------------------------------------ 436 438 437 \nlst{namtra_ldf} 439 \begin{listing} 440 \nlst{namtra_ldf} 441 \caption{\texttt{namtra\_ldf}} 442 \label{lst:namtra_ldf} 443 \end{listing} 438 444 %------------------------------------------------------------------------------------------------------------- 439 445 … … 640 646 %--------------------------------------------namzdf--------------------------------------------------------- 641 647 642 \nlst{namzdf}643 648 %-------------------------------------------------------------------------------------------------------------- 644 649 … … 759 764 %--------------------------------------------namqsr-------------------------------------------------------- 760 765 761 \nlst{namtra_qsr} 766 \begin{listing} 767 \nlst{namtra_qsr} 768 \caption{\texttt{namtra\_qsr}} 769 \label{lst:namtra_qsr} 770 \end{listing} 762 771 %-------------------------------------------------------------------------------------------------------------- 763 772 … … 857 866 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 858 867 \begin{figure}[!t] 859 \begin{center} 860 \includegraphics[width=\textwidth]{Fig_TRA_Irradiance} 861 \caption{ 862 \protect\label{fig:TRA_qsr_irradiance} 863 Penetration profile of the downward solar irradiance calculated by four models. 864 Two waveband chlorophyll-independent formulation (blue), 865 a chlorophyll-dependent monochromatic formulation (green), 866 4 waveband RGB formulation (red), 867 61 waveband Morel (1988) formulation (black) for a chlorophyll concentration of 868 (a) Chl=0.05 mg/m$^3$ and (b) Chl=0.5 mg/m$^3$. 869 From \citet{lengaigne.menkes.ea_CD07}. 870 } 871 \end{center} 868 \centering 869 \includegraphics[width=\textwidth]{Fig_TRA_Irradiance} 870 \caption[Penetration profile of the downward solar irradiance calculated by four models]{ 871 Penetration profile of the downward solar irradiance calculated by four models. 872 Two waveband chlorophyll-independent formulation (blue), 873 a chlorophyll-dependent monochromatic formulation (green), 874 4 waveband RGB formulation (red), 875 61 waveband Morel (1988) formulation (black) for a chlorophyll concentration of 876 (a) Chl=0.05 mg/m$^3$ and (b) Chl=0.5 mg/m$^3$. 877 From \citet{lengaigne.menkes.ea_CD07}.} 878 \label{fig:TRA_qsr_irradiance} 872 879 \end{figure} 873 880 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 881 888 %--------------------------------------------nambbc-------------------------------------------------------- 882 889 883 \nlst{nambbc} 890 \begin{listing} 891 \nlst{nambbc} 892 \caption{\texttt{nambbc}} 893 \label{lst:nambbc} 894 \end{listing} 884 895 %-------------------------------------------------------------------------------------------------------------- 885 896 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 886 897 \begin{figure}[!t] 887 \begin{center} 888 \includegraphics[width=\textwidth]{Fig_TRA_geoth} 889 \caption{ 890 \protect\label{fig:TRA_geothermal} 891 Geothermal Heat flux (in $mW.m^{-2}$) used by \cite{emile-geay.madec_OS09}. 892 It is inferred from the age of the sea floor and the formulae of \citet{stein.stein_N92}. 893 } 894 \end{center} 898 \centering 899 \includegraphics[width=\textwidth]{Fig_TRA_geoth} 900 \caption[Geothermal heat flux]{ 901 Geothermal Heat flux (in $mW.m^{-2}$) used by \cite{emile-geay.madec_OS09}. 902 It is inferred from the age of the sea floor and the formulae of \citet{stein.stein_N92}.} 903 \label{fig:TRA_geothermal} 895 904 \end{figure} 896 905 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 920 929 %--------------------------------------------nambbl--------------------------------------------------------- 921 930 922 \nlst{nambbl} 931 \begin{listing} 932 \nlst{nambbl} 933 \caption{\texttt{nambbl}} 934 \label{lst:nambbl} 935 \end{listing} 923 936 %-------------------------------------------------------------------------------------------------------------- 924 937 … … 999 1012 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 1000 1013 \begin{figure}[!t] 1001 \ begin{center}1002 1003 \caption{1004 \protect\label{fig:TRA_bbl}1005 Advective/diffusive Bottom Boundary Layer.1006 The BBL parameterisation is activated when $\rho^i_{kup}$ is larger than $\rho^{i + 1}_{kdnw}$.1007 Red arrows indicate the additional overturning circulation due to the advective BBL.1008 The transport of the downslope flow is defined eitheras the transport of the bottom ocean cell (black arrow),1009 1010 The green arrow indicates the diffusive BBL flux directly connecting $kup$ and $kdwn$ ocean bottom cells.1011 }1012 \ end{center}1014 \centering 1015 \includegraphics[width=\textwidth]{Fig_BBL_adv} 1016 \caption[Advective/diffusive bottom boundary layer]{ 1017 Advective/diffusive Bottom Boundary Layer. 1018 The BBL parameterisation is activated when $\rho^i_{kup}$ is larger than $\rho^{i + 1}_{kdnw}$. 1019 Red arrows indicate the additional overturning circulation due to the advective BBL. 1020 The transport of the downslope flow is defined either 1021 as the transport of the bottom ocean cell (black arrow), 1022 or as a function of the along slope density gradient. 1023 The green arrow indicates the diffusive BBL flux directly connecting 1024 $kup$ and $kdwn$ ocean bottom cells.} 1025 \label{fig:TRA_bbl} 1013 1026 \end{figure} 1014 1027 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 1085 1098 %--------------------------------------------namtra_dmp------------------------------------------------- 1086 1099 1087 \nlst{namtra_dmp} 1100 \begin{listing} 1101 \nlst{namtra_dmp} 1102 \caption{\texttt{namtra\_dmp}} 1103 \label{lst:namtra_dmp} 1104 \end{listing} 1088 1105 %-------------------------------------------------------------------------------------------------------------- 1089 1106 … … 1140 1157 \label{sec:TRA_nxt} 1141 1158 %--------------------------------------------namdom----------------------------------------------------- 1142 1143 \nlst{namdom}1144 1159 %-------------------------------------------------------------------------------------------------------------- 1145 1160 … … 1179 1194 %--------------------------------------------nameos----------------------------------------------------- 1180 1195 1181 \nlst{nameos} 1196 \begin{listing} 1197 \nlst{nameos} 1198 \caption{\texttt{nameos}} 1199 \label{lst:nameos} 1200 \end{listing} 1182 1201 %-------------------------------------------------------------------------------------------------------------- 1183 1202 … … 1283 1302 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 1284 1303 \begin{table}[!tb] 1285 \begin{center} 1286 \begin{tabular}{|l|l|l|l|} 1287 \hline 1288 coeff. & computer name & S-EOS & description \\ 1289 \hline 1290 $a_0$ & \np{rn\_a0} & $1.6550~10^{-1}$ & linear thermal expansion coeff. \\ 1291 \hline 1292 $b_0$ & \np{rn\_b0} & $7.6554~10^{-1}$ & linear haline expansion coeff. \\ 1293 \hline 1294 $\lambda_1$ & \np{rn\_lambda1}& $5.9520~10^{-2}$ & cabbeling coeff. in $T^2$ \\ 1295 \hline 1296 $\lambda_2$ & \np{rn\_lambda2}& $5.4914~10^{-4}$ & cabbeling coeff. in $S^2$ \\ 1297 \hline 1298 $\nu$ & \np{rn\_nu} & $2.4341~10^{-3}$ & cabbeling coeff. in $T \, S$ \\ 1299 \hline 1300 $\mu_1$ & \np{rn\_mu1} & $1.4970~10^{-4}$ & thermobaric coeff. in T \\ 1301 \hline 1302 $\mu_2$ & \np{rn\_mu2} & $1.1090~10^{-5}$ & thermobaric coeff. in S \\ 1303 \hline 1304 \end{tabular} 1305 \caption{ 1306 \protect\label{tab:TRA_SEOS} 1307 Standard value of S-EOS coefficients. 1308 } 1309 \end{center} 1304 \centering 1305 \begin{tabular}{|l|l|l|l|} 1306 \hline 1307 coeff. & computer name & S-EOS & description \\ 1308 \hline 1309 $a_0$ & \np{rn\_a0} & $1.6550~10^{-1}$ & linear thermal expansion coeff. \\ 1310 \hline 1311 $b_0$ & \np{rn\_b0} & $7.6554~10^{-1}$ & linear haline expansion coeff. \\ 1312 \hline 1313 $\lambda_1$ & \np{rn\_lambda1}& $5.9520~10^{-2}$ & cabbeling coeff. in $T^2$ \\ 1314 \hline 1315 $\lambda_2$ & \np{rn\_lambda2}& $5.4914~10^{-4}$ & cabbeling coeff. in $S^2$ \\ 1316 \hline 1317 $\nu$ & \np{rn\_nu} & $2.4341~10^{-3}$ & cabbeling coeff. in $T \, S$ \\ 1318 \hline 1319 $\mu_1$ & \np{rn\_mu1} & $1.4970~10^{-4}$ & thermobaric coeff. in T \\ 1320 \hline 1321 $\mu_2$ & \np{rn\_mu2} & $1.1090~10^{-5}$ & thermobaric coeff. in S \\ 1322 \hline 1323 \end{tabular} 1324 \caption{Standard value of S-EOS coefficients} 1325 \label{tab:TRA_SEOS} 1310 1326 \end{table} 1311 1327 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 1391 1407 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 1392 1408 \begin{figure}[!p] 1393 \begin{center} 1394 \includegraphics[width=\textwidth]{Fig_partial_step_scheme} 1395 \caption{ 1396 \protect\label{fig:TRA_Partial_step_scheme} 1397 Discretisation of the horizontal difference and average of tracers in the $z$-partial step coordinate 1398 (\protect\np{ln\_zps}\forcode{=.true.}) in the case $(e3w_k^{i + 1} - e3w_k^i) > 0$. 1399 A linear interpolation is used to estimate $\widetilde T_k^{i + 1}$, 1400 the tracer value at the depth of the shallower tracer point of the two adjacent bottom $T$-points. 1401 The horizontal difference is then given by: $\delta_{i + 1/2} T_k = \widetilde T_k^{\, i + 1} -T_k^{\, i}$ and 1402 the average by: $\overline T_k^{\, i + 1/2} = (\widetilde T_k^{\, i + 1/2} - T_k^{\, i}) / 2$. 1403 } 1404 \end{center} 1409 \centering 1410 \includegraphics[width=\textwidth]{Fig_partial_step_scheme} 1411 \caption[Discretisation of the horizontal difference and average of tracers in 1412 the $z$-partial step coordinate]{ 1413 Discretisation of the horizontal difference and average of tracers in 1414 the $z$-partial step coordinate (\protect\np{ln\_zps}\forcode{=.true.}) in 1415 the case $(e3w_k^{i + 1} - e3w_k^i) > 0$. 1416 A linear interpolation is used to estimate $\widetilde T_k^{i + 1}$, 1417 the tracer value at the depth of the shallower tracer point of 1418 the two adjacent bottom $T$-points. 1419 The horizontal difference is then given by: 1420 $\delta_{i + 1/2} T_k = \widetilde T_k^{\, i + 1} -T_k^{\, i}$ and 1421 the average by: 1422 $\overline T_k^{\, i + 1/2} = (\widetilde T_k^{\, i + 1/2} - T_k^{\, i}) / 2$.} 1423 \label{fig:TRA_Partial_step_scheme} 1405 1424 \end{figure} 1406 1425 %>>>>>>>>>>>>>>>>>>>>>>>>>>>>
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