Changeset 10544
- Timestamp:
- 2019-01-18T14:20:35+01:00 (4 years ago)
- Location:
- NEMO/trunk/doc/latex/NEMO
- Files:
-
- 5 edited
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NEMO/trunk/doc/latex/NEMO/main/NEMO_manual.sty
r10442 r10544 135 135 136 136 %% Maths 137 \newcommand{\lt}{\left} 138 \newcommand{\rt}{\right} 137 139 \newcommand{\vect}[1]{\ensuremath{\mathbf{#1}}} 138 140 \newcommand{\pd}[2][]{\ensuremath{\frac{\partial #1}{\partial #2}}} -
NEMO/trunk/doc/latex/NEMO/subfiles/chap_TRA.tex
r10502 r10544 1219 1219 the TEOS-10 rational function approximation for hydrographic data analysis \citep{TEOS10}. 1220 1220 A key point is that conservative state variables are used: 1221 Absolute Salinity (unit: g/kg, notation: $S_A$) and Conservative Temperature (unit: \deg C, notation: $\Theta$).1221 Absolute Salinity (unit: g/kg, notation: $S_A$) and Conservative Temperature (unit: \deg{C}, notation: $\Theta$). 1222 1222 The pressure in decibars is approximated by the depth in meters. 1223 1223 With TEOS10, the specific heat capacity of sea water, $C_p$, is a constant. -
NEMO/trunk/doc/latex/NEMO/subfiles/chap_model_basics.tex
r10501 r10544 1095 1095 where $ \vect U^\ast = \lt( u^\ast,v^\ast,w^\ast \rt)$ is a non-divergent, 1096 1096 eddy-induced transport velocity. This velocity field is defined by: 1097 \ [1097 \begin{gather} 1098 1098 % \label{eq:PE_eiv} 1099 u^\ast &= \frac{1}{e_3} \pd[]{k} \lt( A^{eiv} \; \tilde{r}_1 \rt) \\1100 v^\ast &= \frac{1}{e_3} \pd[]{k} \lt( A^{eiv} \; \tilde{r}_2 \rt) \\1101 w^\ast &= - \frac{1}{e_1 e_2} \lt[ \pd[]{i} \lt( A^{eiv} \; e_2 \, \tilde{r}_1 \rt)1099 u^\ast = \frac{1}{e_3} \pd[]{k} \lt( A^{eiv} \; \tilde{r}_1 \rt) \\ 1100 v^\ast = \frac{1}{e_3} \pd[]{k} \lt( A^{eiv} \; \tilde{r}_2 \rt) \\ 1101 w^\ast = - \frac{1}{e_1 e_2} \lt[ \pd[]{i} \lt( A^{eiv} \; e_2 \, \tilde{r}_1 \rt) 1102 1102 + \pd[]{j} \lt( A^{eiv} \; e_1 \, \tilde{r}_2 \rt) \rt] 1103 \ ]1103 \end{gather} 1104 1104 where $A^{eiv}$ is the eddy induced velocity coefficient 1105 1105 (or equivalently the isoneutral thickness diffusivity coefficient), -
NEMO/trunk/doc/latex/NEMO/subfiles/chap_model_basics_zstar.tex
r10442 r10544 89 89 which imposes a very small time step when an explicit time stepping is used. 90 90 Two methods are proposed to allow a longer time step for the three-dimensional equations: 91 the filtered free surface, which is a modification of the continuous equations (see \autoref{eq:PE_flt}),91 the filtered free surface, which is a modification of the continuous equations %(see \autoref{eq:PE_flt}), 92 92 and the split-explicit free surface described below. 93 93 The extra term introduced in the filtered method is calculated implicitly, -
NEMO/trunk/doc/latex/NEMO/subfiles/introduction.tex
r10496 r10544 165 165 After the presentation of the continuous equations (\autoref{chap:PE}), 166 166 the following chapters refer to specific terms of the equations each associated with a group of modules 167 (\autoref{tab:chap }).167 (\autoref{tab:chapters}). 168 168 169 169 %--------------------------------------------------TABLE--------------------------------------------------
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