Changeset 11123 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_time_domain.tex

Timestamp:

2019-06-17T14:22:27+02:00 (5 years ago)

Author:

nicolasmartin

Message:

Modification of LaTeX subfiles accordingly to new citations keys

Location:

NEMO/trunk/doc/latex/NEMO/subfiles

Files:

• . (modified) (1 prop)
• chap_time_domain.tex (modified) (9 diffs)

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

@@ -64 +64 @@
 
 The time stepping used for processes other than diffusion is the well-known leapfrog scheme
-\citep{Mesinger_Arakawa_Bk76}.
+\citep{mesinger.arakawa_bk76}.
 This scheme is widely used for advection processes in low-viscosity fluids.
 It is a time centred scheme, \ie the RHS in \autoref{eq:STP} is evaluated at time step $t$, the now time step.
@@ -80 +80 @@
 To prevent it, the leapfrog scheme is often used in association with a Robert-Asselin time filter
 (hereafter the LF-RA scheme).
-This filter, first designed by \citet{Robert_JMSJ66} and more comprehensively studied by \citet{Asselin_MWR72},
+This filter, first designed by \citet{robert_JMSJ66} and more comprehensively studied by \citet{asselin_MWR72},
 is a kind of laplacian diffusion in time that mixes odd and even time steps:
 \begin{equation}
@@ -89 +89 @@
 $\gamma$ is initialized as \np{rn\_atfp} (namelist parameter).
 Its default value is \np{rn\_atfp}~\forcode{= 10.e-3} (see \autoref{sec:STP_mLF}),
-causing only a weak dissipation of high frequency motions (\citep{Farge1987}).
+causing only a weak dissipation of high frequency motions (\citep{farge-coulombier_phd87}).
 The addition of a time filter degrades the accuracy of the calculation from second to first order.
 However, the second order truncation error is proportional to $\gamma$, which is small compared to 1.
@@ -115 +115 @@
 
 This is diffusive in time and conditionally stable.
-The conditions for stability of second and fourth order horizontal diffusion schemes are \citep{Griffies_Bk04}:
+The conditions for stability of second and fourth order horizontal diffusion schemes are \citep{griffies_bk04}:
 \begin{equation}
   \label{eq:STP_euler_stability}
@@ -183 +183 @@
 $c(k)$ and $d(k)$ are positive and the diagonal term is greater than the sum of the two extra-diagonal terms,
 therefore a special adaptation of the Gauss elimination procedure is used to find the solution
-(see for example \citet{Richtmyer1967}).
+(see for example \citet{richtmyer.morton_bk67}).
 
 % -------------------------------------------------------------------------------------------------------------
@@ -200 +200 @@
     \caption{
       \protect\label{fig:TimeStep_flowchart}
-      Sketch of the leapfrog time stepping sequence in \NEMO from \citet{Leclair_Madec_OM09}.
+      Sketch of the leapfrog time stepping sequence in \NEMO from \citet{leclair.madec_OM09}.
       The use of a semi -implicit computation of the hydrostatic pressure gradient requires the tracer equation to
       be stepped forward prior to the momentum equation.
@@ -219 +219 @@
 \label{sec:STP_mLF}
 
-Significant changes have been introduced by \cite{Leclair_Madec_OM09} in the LF-RA scheme in order to
+Significant changes have been introduced by \cite{leclair.madec_OM09} in the LF-RA scheme in order to
 ensure tracer conservation and to allow the use of a much smaller value of the Asselin filter parameter.
 The modifications affect both the forcing and filtering treatments in the LF-RA scheme.
@@ -237 +237 @@
 The change in the forcing formulation given by \autoref{eq:STP_forcing} (see \autoref{fig:MLF_forcing})
 has a significant effect:
-the forcing term no longer excites the divergence of odd and even time steps \citep{Leclair_Madec_OM09}.
+the forcing term no longer excites the divergence of odd and even time steps \citep{leclair.madec_OM09}.
 % forcing seen by the model....
 This property improves the LF-RA scheme in two respects.
@@ -245 +245 @@
 (last term in \autoref{eq:STP_RA} compared to \autoref{eq:STP_asselin}).
 Since the filtering of the forcing was the source of non-conservation in the classical LF-RA scheme,
-the modified formulation becomes conservative \citep{Leclair_Madec_OM09}.
+the modified formulation becomes conservative \citep{leclair.madec_OM09}.
 Second, the LF-RA becomes a truly quasi -second order scheme.
 Indeed, \autoref{eq:STP_forcing} used in combination with a careful treatment of static instability