Changeset 11596 for NEMO/trunk/doc/latex/NEMO/subfiles/apdx_algos.tex

Timestamp:

2019-09-25T19:06:37+02:00 (5 years ago)

Author:

nicolasmartin

Message:

Application of some coding rules

• Replace comments before sectioning cmds by a single line of 100 characters long to display when every line should break
• Replace multi blank lines by one single blank line
• For list environment, put \item, label and content on the same line
• Remove \newpage and comments line around figure envs

File:

• NEMO/trunk/doc/latex/NEMO/subfiles/apdx_algos.tex (modified) (15 diffs)

NEMO/trunk/doc/latex/NEMO/subfiles/apdx_algos.tex

@@ -2 +2 @@
 
 \begin{document}
-% ================================================================
-% Appendix E : Note on some algorithms
-% ================================================================
 \chapter{Note on some algorithms}
 \label{apdx:ALGOS}
@@ -10 +7 @@
 \chaptertoc
 
-\newpage
-
 This appendix some on going consideration on algorithms used or planned to be used in \NEMO.
 
-% -------------------------------------------------------------------------------------------------------------
-%        UBS scheme
-% -------------------------------------------------------------------------------------------------------------
 \section{Upstream Biased Scheme (UBS) (\protect\np[=.true.]{ln_traadv_ubs}{ln\_traadv\_ubs})}
 \label{sec:ALGOS_tra_adv_ubs}
@@ -188 +180 @@
 which leads to ${A_u^{lT}} = \frac{1}{12} {e_{1u}}^3\ |u|$
 
-% -------------------------------------------------------------------------------------------------------------
-%        Leap-Frog energetic
-% -------------------------------------------------------------------------------------------------------------
 \section{Leapfrog energetic}
 \label{sec:ALGOS_LF}
@@ -244 +233 @@
 In time this boundary condition is not physical and \textbf{add something here!!!}
 
-% ================================================================
-% Iso-neutral diffusion :
-% ================================================================
-
 \section{Lateral diffusion operator}
 
-% ================================================================
-% Griffies' iso-neutral diffusion operator :
-% ================================================================
 \subsection{Griffies iso-neutral diffusion operator}
 
@@ -305 +287 @@
 the presence of partial cell at the ocean bottom (see \autoref{subsec:ALGOS_Gf_operator}).
 
-%>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
 \begin{figure}[!ht]
   \centering
@@ -315 +296 @@
   \label{fig:ALGOS_ISO_triad}
 \end{figure}
-%>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
 
 The four iso-neutral fluxes associated with the triads are defined at $T$-point.
@@ -372 +352 @@
 This expression of the iso-neutral diffusion has been chosen in order to satisfy the following six properties:
 \begin{description}
-\item[$\bullet$ horizontal diffusion]
+\item [$\bullet$ horizontal diffusion]
   The discretization of the diffusion operator recovers the traditional five-point Laplacian in
   the limit of flat iso-neutral direction:
@@ -383 +363 @@
   \]
 
-\item[$\bullet$ implicit treatment in the vertical]
+\item [$\bullet$ implicit treatment in the vertical]
   In the diagonal term associated with the vertical divergence of the iso-neutral fluxes
   \ie\ the term associated with a second order vertical derivative)
@@ -397 +377 @@
   can be quite large.
 
-\item[$\bullet$ pure iso-neutral operator]
+\item [$\bullet$ pure iso-neutral operator]
   The iso-neutral flux of locally referenced potential density is zero, \ie
   \begin{align*}
@@ -413 +393 @@
   the definition of the triads' slopes \autoref{eq:ALGOS_Gf_slopes}.
 
-\item[$\bullet$ conservation of tracer]
+\item [$\bullet$ conservation of tracer]
   The iso-neutral diffusion term conserve the total tracer content, \ie
   \[
@@ -421 +401 @@
 This property is trivially satisfied since the iso-neutral diffusive operator is written in flux form.
 
-\item[$\bullet$ decrease of tracer variance]
+\item [$\bullet$ decrease of tracer variance]
   The iso-neutral diffusion term does not increase the total tracer variance, \ie
   \[
@@ -434 +414 @@
 the field on which it is applied become free of grid-point noise.
 
-\item[$\bullet$ self-adjoint operator]
+\item [$\bullet$ self-adjoint operator]
   The iso-neutral diffusion operator is self-adjoint, \ie
   \[
@@ -446 +426 @@
 \end{description}
 
-% ================================================================
-% Skew flux formulation for Eddy Induced Velocity :
-% ================================================================
 \subsection{Eddy induced velocity and skew flux formulation}
 
@@ -602 +579 @@
 
 $\ $\newpage      %force an empty line
-% ================================================================
-% Discrete Invariants of the iso-neutral diffrusion
-% ================================================================
 \subsection{Discrete invariants of the iso-neutral diffrusion}
 \label{subsec:ALGOS_Gf_operator}
@@ -767 +741 @@
 There is no need to develop a specific to obtain it.
 
-\newpage
-
-% ================================================================
-% Discrete Invariants of the skew flux formulation
-% ================================================================
 \subsection{Discrete invariants of the skew flux formulation}
 \label{subsec:ALGOS_eiv_skew}