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1 molod 1.4 \subsection{EXF: The external forcing package
2 heimbach 1.1 \label{sec:pkg:exf}}
3     \begin{rawhtml}
4     <!-- CMIREDIR:sectionexf: -->
5     \end{rawhtml}
6    
7 heimbach 1.5 Authors: Patrick Heimbach and Dimitris Menemenlis
8 heimbach 1.1
9 molod 1.4 \subsubsection{Introduction
10 heimbach 1.1 \label{sec:pkg:exf:intro}}
11    
12     The external forcing package, in conjunction with the
13     calendar package (cal), enables the handling of real-time
14     (or ``model-time'') forcing
15     fields of differing temporal forcing patterns.
16     It comprises climatological restoring and relaxation.
17     Bulk formulae are implemented to convert atmospheric fields
18     to surface fluxes.
19     An interpolation routine provides on-the-fly interpolation of
20     forcing fields an arbitrary grid onto the model grid.
21    
22     CPP options enable or disable different aspects of the package
23     (Section \ref{sec:pkg:exf:config}).
24     Runtime options, flags, filenames and field-related dates/times are
25     set in \texttt{data.exf} and \texttt{data.exf\_clim}
26     (Section \ref{sec:pkg:exf:runtime}).
27     A description of key subroutines is given in Section
28     \ref{sec:pkg:exf:subroutines}.
29     Input fields, units and sign conventions are summarized in
30     Section \ref{sec:pkg:exf:fields_units}, and available diagnostics
31     output is listed in Section \ref{sec:pkg:exf:fields_diagnostics}.
32    
33     %----------------------------------------------------------------------
34    
35 molod 1.4 \subsubsection{EXF configuration, compiling \& running}
36 heimbach 1.2
37 molod 1.4 \paragraph{Compile-time options
38 heimbach 1.1 \label{sec:pkg:exf:config}}
39 heimbach 1.5 ~
40 heimbach 1.1
41     As with all MITgcm packages, EXF can be turned on or off at compile time
42 heimbach 1.5 %
43     \begin{itemize}
44     %
45     \item
46     using the \texttt{packages.conf} file by adding \texttt{exf} to it,
47     %
48     \item
49     or using \texttt{genmake2} adding
50     \texttt{-enable=exf} or \texttt{-disable=exf} switches
51     %
52 heimbach 1.6 \item
53     \textit{required packages and CPP options}: \\
54     EXF requires the calendar package \texttt{cal} to be enabled;
55     no additional CPP options are required.
56     %
57 heimbach 1.5 \end{itemize}
58     (see Section \ref{sect:buildingCode}).
59 heimbach 1.1
60 heimbach 1.5 Parts of the EXF code can be enabled or disabled at compile time
61 heimbach 1.1 via CPP preprocessor flags. These options are set in either
62     \texttt{EXF\_OPTIONS.h} or in \texttt{ECCO\_CPPOPTIONS.h}.
63     Table \ref{tab:pkg:exf:cpp} summarizes these options.
64    
65     \begin{table}[b!]
66     \label{tab:pkg:exf:cpp}
67     {\footnotesize
68     \begin{tabular}{|l|l|}
69 heimbach 1.2 \hline
70 heimbach 1.1 \textbf{CPP option} & \textbf{Description} \\
71 heimbach 1.2 \hline \hline
72 heimbach 1.1 \texttt{EXF\_VERBOSE} &
73     verbose mode (recommended only for testing) \\
74     \texttt{ALLOW\_ATM\_TEMP} &
75     compute heat/freshwater fluxes from atmos. state input \\
76     \texttt{ALLOW\_ATM\_WIND} &
77     compute wind stress from wind speed input\\
78     \texttt{ALLOW\_BULKFORMULAE} &
79 heimbach 1.3 is used if \texttt{ALLOW\_ATM\_TEMP} or
80     \texttt{ALLOW\_ATM\_WIND} is enabled \\
81 heimbach 1.1 \texttt{EXF\_READ\_EVAP} & read evaporation instead of computing it \\
82     \texttt{ALLOW\_RUNOFF} & read time-constant river/glacier run-off field \\
83     \texttt{ALLOW\_DOWNWARD\_RADIATION} & compute net from downward or downward from net radiation \\
84     \texttt{USE\_EXF\_INTERPOLATION} & enable on-the-fly bilinear or bicubic interpolation of input fields \\
85     \hline
86 heimbach 1.3 \multicolumn{2}{|c|}{\textit{used in conjunction with relaxation to prescribed (climatological) fields}} \\
87     \hline
88 heimbach 1.1 \texttt{ALLOW\_CLIMTEMP\_RELAXATION} &
89 heimbach 1.3 relaxation to 3-D temperature climatology \\
90 heimbach 1.1 \texttt{ALLOW\_CLIMSALT\_RELAXATION} &
91 heimbach 1.2 relaxation to 3-D salinity climatology \\
92 heimbach 1.1 \texttt{ALLOW\_CLIMSST\_RELAXATION} &
93 heimbach 1.2 relaxation to 2-D SST climatology \\
94 heimbach 1.1 \texttt{ALLOW\_CLIMSSS\_RELAXATION} &
95 heimbach 1.2 relaxation to 2-D SSS climatology \\
96 heimbach 1.1 \hline
97 heimbach 1.3 \multicolumn{2}{|c|}{\textit{these are set outside of EXF in} \texttt{CPP\_OPTIONS.h}} \\
98     \hline
99     \texttt{SHORTWAVE\_HEATING} & enable shortwave radiation \\
100     \texttt{ATMOSPHERIC\_LOADING} & enable surface pressure forcing \\
101 heimbach 1.1 \hline
102     \end{tabular}
103     }
104     \caption{~}
105     \end{table}
106    
107    
108     %----------------------------------------------------------------------
109    
110 heimbach 1.2 \subsubsection{Run-time parameters
111 heimbach 1.1 \label{sec:pkg:exf:runtime}}
112    
113 heimbach 1.5 Run-time parameters are set in files
114     \texttt{data.pkg}, \texttt{data.exf}, and
115     \texttt{data.exf\_clim} (for relaxation/climatological fields)
116 heimbach 1.3 which are read in \texttt{exf\_readparms.F}.
117 heimbach 1.5 Run-time parameters may be broken into 3 categories:
118     (i) switching on/off the package at runtime,
119     (ii) general flags and parameters, and
120     (iii) attributes for each forcing and climatological field.
121    
122     \paragraph{Enabling the package}
123     ~ \\
124     %
125     A package is usually switched on/off at runtime by setting
126     (e.g. for EXF) \texttt{useEXF = .TRUE.} in \texttt{data.pkg}.
127     For EXF this flag is omitted, i.e. EXF is always ON if it is compiled.
128 heimbach 1.2
129     \paragraph{General flags and parameters}
130 heimbach 1.5 ~ \\
131     %
132 heimbach 1.2 \begin{table}[h!]
133     \label{tab:pkg:exf:runtime_flags}
134     {\footnotesize
135 heimbach 1.3 \begin{tabular}{|l|c|l|}
136 heimbach 1.2 \hline
137     \textbf{Flag/parameter} & \textbf{default} & \textbf{Description} \\
138     \hline \hline
139 heimbach 1.3 useExfCheckRange & \texttt{.TRUE.} &
140     check range of input fields and stop if out of range \\
141     useExfYearlyFields & \texttt{.FALSE.} &
142     append current year postfix of form \texttt{\_YYYY} on filename \\
143     twoDigitYear & \texttt{.FALSE.} &
144     instead of appending \texttt{\_YYYY} append \texttt{YY} \\
145     repeatPeriod & \texttt{0.0} & $ > 0 $ :
146     cycle through all input fields at the same period (in seconds) \\
147     ~ & ~ & $ = 0 $ :
148     use period assigned to each field \\
149     exf\_offset\_atemp & \texttt{0.0} & set to 273.16 to convert from deg. Kelvin (assumed input) to Celsius \\
150     windstressmax & \texttt{2.0} &
151     max. allowed wind stress $N/m^2$ \\
152     exf\_albedo & \texttt{0.1} &
153     surface albedo used to compute downward vs. net radiative fluxes \\
154     exf\_iprec & \texttt{32} &
155     precision of input fields (32-bit or 64-bit) \\
156     exf\_yftype & \texttt{'RL'} &
157     precision of arrays ('RL' vs. 'RS') \\
158 heimbach 1.2 \hline
159     \end{tabular}
160     }
161     \caption{~}
162     \end{table}
163    
164    
165 heimbach 1.5 \paragraph{Field attributes}
166     ~ \\
167 heimbach 1.3 %
168     All EXF fields are listed in Section \ref{sec:pkg:exf:fields_units}.
169     Each field has a number of attributes which can be customized.
170     They are summarized in
171     Table \ref{tab:pkg:exf:runtime_attributes}.
172     To obtain an attribute for a specific field, e.g. \texttt{uwind}
173     prepend the field name to the listed attribute, e.g. for attribute
174     \texttt{period} this yields \texttt{uwindperiod}:
175     %
176     \begin{eqnarray*}
177     \begin{array}{cccccc}
178     ~ & \texttt{field} & \& & \texttt{attribute} & \longrightarrow & \texttt{parameter} \\
179     \text{e.g.} & \text{uwind} & \& & \text{period} & \longrightarrow & \text{uwindperiod} \\
180     \end{array}
181     \end{eqnarray*}
182     %
183 heimbach 1.2
184 heimbach 1.3 \begin{table}[h!]
185     \label{tab:pkg:exf:runtime_attributes}
186     {\footnotesize
187     \begin{tabular}{|l|c|l|}
188     \hline
189     \textbf{attribute} & \textbf{Default} & \textbf{Description} \\
190     \hline \hline
191     \textit{field}\texttt{file} & ' ' &
192     filename; if left empty no file will be read; \texttt{const} will be used instead \\
193     \textit{field}\texttt{const} & 0. &
194     constant that will be used if no file is read \\
195     \textit{field}\texttt{startdate1} & 0. &
196     format: \texttt{YYYYMMDD}; start year (YYYY), month (MM), day (YY) \\
197     ~&~& of field to determine record number \\
198     \textit{field}\texttt{startdate2} & 0. &
199     format: \texttt{HHMMSS}; start hour (HH), minute (MM), second(SS) \\
200     ~&~& of field to determine record number\\
201     \textit{field}\texttt{period} & 0. &
202     interval in seconds between two records \\
203     \texttt{exf\_inscal\_}\textit{field}& ~ &
204     optional rescaling of input fields to comply with EXF units \\
205     \texttt{exf\_outscal\_}\textit{field}& ~ &
206     optional rescaling of EXF fields when mapped onto MITgcm fields \\
207     \hline
208     \multicolumn{3}{|c|}{\textit{used in conjunction with}
209     \texttt{EXF\_USE\_INTERPOLATION}} \\
210     \hline
211     \textit{field}\texttt{\_lon0} & $thetaMin+delX/2$ &
212     starting longitude of input \\
213     \textit{field}\texttt{\_lon\_inc} & $delX$ &
214     increment in longitude of input \\
215     \textit{field}\texttt{\_lat0} & $phiMin+delY/2$ &
216     starting latitude of input \\
217     \textit{field}\texttt{\_lat\_inc} & $delY$ &
218     increment in latitude of input \\
219     \textit{field}\texttt{\_nlon} & $Nx$ &
220     number of grid points in longitude of input \\
221     \textit{field}\texttt{\_nlat} & $Ny$ &
222     number of grid points in longitude of input \\
223     \hline
224     \end{tabular}
225     }
226     \caption{\newline
227     Note one exception for the default of
228     \texttt{atempconst} = celsius2K = 273.16}
229     \end{table}
230 heimbach 1.2
231 heimbach 1.3 \paragraph{Example configuration} ~ \\
232     %
233     The following block is taken from the \texttt{data.exf} file
234     of the veification experiment \texttt{global\_with\_exf/}.
235     It defines attributes for the heat flux variable \texttt{hflux}:
236    
237     \begin{verbatim}
238     hfluxfile = 'ncep_qnet.bin',
239     hfluxstartdate1 = 19920101,
240     hfluxstartdate2 = 000000,
241     hfluxperiod = 2592000.0,
242     hflux_lon0 = 2
243     hflux_lon_inc = 4
244     hflux_lat0 = -78
245     hflux_lat_inc = 39*4
246     hflux_nlon = 90
247     hflux_nlat = 40
248     \end{verbatim}
249    
250     EXF will read a file of name 'ncep\_qnet.bin'.
251     Its first record represents January 1st, 1991 at 00:00 UTC.
252     Next record is 2592000 seconds (or 30 days) later.
253     Interpolation on-the-fly is used (in the present case trivially
254     on the same grid, but included nevertheless for illustration),
255     and input field grid starting coordinates and increments are
256     supplied as well.
257 heimbach 1.2
258 heimbach 1.1 %----------------------------------------------------------------------
259    
260 molod 1.4 \subsubsection{EXF input fields and units
261 heimbach 1.1 \label{sec:pkg:exf:fields_units}}
262    
263     The following list is taken from the header file \texttt{exf\_fields.h}.
264 heimbach 1.3 It comprises all EXF input fields.
265    
266     Output fields which EXF provides to the MITgcm are fields
267     \textbf{fu}, \textbf{fv}, \textbf{Qnet}, \textbf{Qsw}, \textbf{EmPmR},
268     and \textbf{pload}. They are defined in \texttt{FFIELDS.h}.
269 heimbach 1.1
270 heimbach 1.5 {\footnotesize
271 heimbach 1.1 \begin{verbatim}
272    
273 heimbach 1.3 c----------------------------------------------------------------------
274     c |
275     c field :: Description
276     c |
277     c----------------------------------------------------------------------
278 heimbach 1.1 c ustress :: Zonal surface wind stress in N/m^2
279 heimbach 1.3 c | > 0 for increase in uVel, which is west to
280     c | east for cartesian and spherical polar grids
281     c | Typical range: -0.5 < ustress < 0.5
282     c | Southwest C-grid U point
283     c | Input field
284     c----------------------------------------------------------------------
285 heimbach 1.1 c vstress :: Meridional surface wind stress in N/m^2
286 heimbach 1.3 c | > 0 for increase in vVel, which is south to
287     c | north for cartesian and spherical polar grids
288     c | Typical range: -0.5 < vstress < 0.5
289     c | Southwest C-grid V point
290     c | Input field
291     c----------------------------------------------------------------------
292 heimbach 1.1 c hflux :: Net upward surface heat flux in W/m^2
293 heimbach 1.3 c | excluding shortwave (on input)
294     c | hflux = latent + sensible + lwflux
295     c | > 0 for decrease in theta (ocean cooling)
296     c | Typical range: -250 < hflux < 600
297     c | Southwest C-grid tracer point
298     c | Input field
299     c----------------------------------------------------------------------
300 heimbach 1.1 c sflux :: Net upward freshwater flux in m/s
301 heimbach 1.3 c | sflux = evap - precip - runoff
302     c | > 0 for increase in salt (ocean salinity)
303     c | Typical range: -1e-7 < sflux < 1e-7
304     c | Southwest C-grid tracer point
305     c | Input field
306     c----------------------------------------------------------------------
307 heimbach 1.1 c swflux :: Net upward shortwave radiation in W/m^2
308 heimbach 1.3 c | swflux = - ( swdown - ice and snow absorption - reflected )
309     c | > 0 for decrease in theta (ocean cooling)
310     c | Typical range: -350 < swflux < 0
311     c | Southwest C-grid tracer point
312     c | Input field
313     c----------------------------------------------------------------------
314 heimbach 1.1 c uwind :: Surface (10-m) zonal wind velocity in m/s
315 heimbach 1.3 c | > 0 for increase in uVel, which is west to
316     c | east for cartesian and spherical polar grids
317     c | Typical range: -10 < uwind < 10
318     c | Southwest C-grid U point
319     c | Input or input/output field
320     c----------------------------------------------------------------------
321 heimbach 1.1 c vwind :: Surface (10-m) meridional wind velocity in m/s
322 heimbach 1.3 c | > 0 for increase in vVel, which is south to
323     c | north for cartesian and spherical polar grids
324     c | Typical range: -10 < vwind < 10
325     c | Southwest C-grid V point
326     c | Input or input/output field
327     c----------------------------------------------------------------------
328 heimbach 1.1 c atemp :: Surface (2-m) air temperature in deg K
329 heimbach 1.3 c | Typical range: 200 < atemp < 300
330     c | Southwest C-grid tracer point
331     c | Input or input/output field
332     c----------------------------------------------------------------------
333 heimbach 1.1 c aqh :: Surface (2m) specific humidity in kg/kg
334 heimbach 1.3 c | Typical range: 0 < aqh < 0.02
335     c | Southwest C-grid tracer point
336     c | Input or input/output field
337     c----------------------------------------------------------------------
338 heimbach 1.1 c lwflux :: Net upward longwave radiation in W/m^2
339 heimbach 1.3 c | lwflux = - ( lwdown - ice and snow absorption - emitted )
340     c | > 0 for decrease in theta (ocean cooling)
341     c | Typical range: -20 < lwflux < 170
342     c | Southwest C-grid tracer point
343     c | Input field
344     c----------------------------------------------------------------------
345 heimbach 1.1 c evap :: Evaporation in m/s
346 heimbach 1.3 c | > 0 for increase in salt (ocean salinity)
347     c | Typical range: 0 < evap < 2.5e-7
348     c | Southwest C-grid tracer point
349     c | Input, input/output, or output field
350     c----------------------------------------------------------------------
351 heimbach 1.1 c precip :: Precipitation in m/s
352 heimbach 1.3 c | > 0 for decrease in salt (ocean salinity)
353     c | Typical range: 0 < precip < 5e-7
354     c | Southwest C-grid tracer point
355     c | Input or input/output field
356     c----------------------------------------------------------------------
357 heimbach 1.1 c runoff :: River and glacier runoff in m/s
358 heimbach 1.3 c | > 0 for decrease in salt (ocean salinity)
359     c | Typical range: 0 < runoff < ????
360     c | Southwest C-grid tracer point
361     c | Input or input/output field
362     c | !!! WATCH OUT: Default exf_inscal_runoff !!!
363     c | !!! in exf_readparms.F is not 1.0 !!!
364     c----------------------------------------------------------------------
365 heimbach 1.1 c swdown :: Downward shortwave radiation in W/m^2
366 heimbach 1.3 c | > 0 for increase in theta (ocean warming)
367     c | Typical range: 0 < swdown < 450
368     c | Southwest C-grid tracer point
369     c | Input/output field
370     c----------------------------------------------------------------------
371 heimbach 1.1 c lwdown :: Downward longwave radiation in W/m^2
372 heimbach 1.3 c | > 0 for increase in theta (ocean warming)
373     c | Typical range: 50 < lwdown < 450
374     c | Southwest C-grid tracer point
375     c | Input/output field
376     c----------------------------------------------------------------------
377 heimbach 1.1 c apressure :: Atmospheric pressure field in N/m^2
378 heimbach 1.3 c | > 0 for ????
379     c | Typical range: ???? < apressure < ????
380     c | Southwest C-grid tracer point
381     c | Input field
382     c----------------------------------------------------------------------
383    
384 heimbach 1.1 \end{verbatim}
385     }
386    
387     %----------------------------------------------------------------------
388    
389 molod 1.4 \subsubsection{Key subroutines
390 heimbach 1.1 \label{sec:pkg:exf:subroutines}}
391    
392 molod 1.4 Top-level routine: \texttt{exf\_getforcing.F}
393 heimbach 1.3
394 heimbach 1.5 {\footnotesize
395 heimbach 1.3 \begin{verbatim}
396    
397     C !CALLING SEQUENCE:
398     c ...
399     c exf_getforcing (TOP LEVEL ROUTINE)
400     c |
401     c |-- exf_getclim (get climatological fields used e.g. for relax.)
402     c | |--- exf_set_climtemp (relax. to 3-D temperature field)
403     c | |--- exf_set_climsalt (relax. to 3-D salinity field)
404     c | |--- exf_set_climsst (relax. to 2-D SST field)
405     c | |--- exf_set_climsss (relax. to 2-D SSS field)
406     c | o
407     c |
408     c |-- exf_getffields <- this one does almost everything
409     c | | 1. reads in fields, either flux or atmos. state,
410     c | | depending on CPP options (for each variable two fields
411     c | | consecutive in time are read in and interpolated onto
412     c | | current time step).
413     c | | 2. If forcing is atmos. state and control is atmos. state,
414     c | | then the control variable anomalies are read here
415     c | | * ctrl_getatemp
416     c | | * ctrl_getaqh
417     c | | * ctrl_getuwind
418     c | | * ctrl_getvwind
419     c | | If forcing and control are fluxes, then
420     c | | controls are added later.
421     c | o
422     c |
423     c |-- exf_check_range
424     c | | 1. Check whether read fields are within assumed range
425     c | | (may capture mismatches in units)
426     c | o
427     c |
428     c |-- exf_bulkformulae
429     c | | 1. Compute net or downwelling radiative fluxes via
430     c | | Stefan-Boltzmann law in case only one is known.
431     c | | 2. Compute air-sea momentum and buoyancy fluxes from
432     c | | atmospheric state following Large and Pond, JPO, 1981/82
433     c | o
434     c |
435     c |-- < add time-mean river runoff here, if available >
436     c |
437     c |-- < update tile edges here >
438     c |
439     c |-- exf_getsurfacefluxes
440     c | | 1. If forcing and control are fluxes, then
441     c | | controls are added here.
442     c | o
443     c |
444     c |-- < treatment of hflux w.r.t. swflux >
445     c |
446     c |-- exf_diagnostics_fill
447     c | | 1. Do EXF-related diagnostics output here.
448     c | o
449     c |
450     c |-- exf_mapfields
451     c | | 1. Map the EXF variables onto the core MITgcm
452     c | | forcing fields.
453     c | o
454     c |
455     c |-- exf_bulkformulae
456     c | If ALLOW_BULKFORMULAE, compute fluxes via bulkformulae
457     c |
458     c |-- exf_getsurfacefluxes
459     c | If forcing and control is flux, then the
460     c | control vector anomalies are read here
461     c | * ctrl_getheatflux
462     c | * ctrl_getsaltflux
463     c | * ctrl_getzonstress
464     c | * call ctrl_getmerstress
465     c |
466     c |-- exf_mapfields
467     c | Forcing fields from exf package are mapped onto
468     c | mitgcm forcing arrays.
469     c | Mapping enables a runtime rescaling of fields
470    
471     \end{verbatim}
472     }
473    
474 molod 1.4 Bulk formula routine: \texttt{exf\_bulkformulae.F}
475 heimbach 1.3
476 molod 1.4 Generic I/O routine: \texttt{exf\_set\_gen.F}
477 heimbach 1.3
478 molod 1.4 Interpolation routine: \texttt{exf\_interp.F}
479 heimbach 1.3
480 molod 1.4 Header routines
481 heimbach 1.3
482 heimbach 1.1 %----------------------------------------------------------------------
483    
484 molod 1.4 \subsubsection{EXF diagnostics
485 heimbach 1.1 \label{sec:pkg:exf:diagnostics}}
486    
487     Diagnostics output is available via the diagnostics package
488     (see Section \ref{sec:pkg:diagnostics}).
489     Available output fields are summarized in
490     Table \ref{tab:pkg:exf:diagnostics}.
491    
492 heimbach 1.3 \begin{table}[h!]
493 heimbach 1.1 \label{tab:pkg:exf:diagnostics}
494     {\footnotesize
495     \begin{verbatim}
496     ------------------------------------------------------
497     <-Name->|Levs|grid|<-- Units -->|<- Tile (max=80c)
498     ------------------------------------------------------
499 heimbach 1.3 EXFlwdn | 1 | SM | W/m^2 | Downward longwave radiation, >0 increases theta
500     EXFswdn | 1 | SM | W/m^2 | Downward shortwave radiation, >0 increases theta
501     EXFqnet | 1 | SM | W/m^2 | Net upward heat flux (turb+rad), >0 decreases theta
502     EXFtaux | 1 | SU | N/m^2 | zonal surface wind stress, >0 increases uVel
503     EXFtauy | 1 | SV | N/m^2 | meridional surface wind stress, >0 increases vVel
504     EXFuwind| 1 | SM | m/s | zonal 10-m wind speed, >0 increases uVel
505     EXFvwind| 1 | SM | m/s | meridional 10-m wind speed, >0 increases uVel
506     EXFatemp| 1 | SM | degK | surface (2-m) air temperature
507     EXFaqh | 1 | SM | kg/kg | surface (2-m) specific humidity
508     EXFevap | 1 | SM | m/s | evaporation, > 0 increases salinity
509     EXFpreci| 1 | SM | m/s | evaporation, > 0 decreases salinity
510     EXFempmr| 1 | SM | m/s | net upward freshwater flux, > 0 increases salinity
511     EXFpress| 1 | SM | N/m^2 | atmospheric pressure field
512 heimbach 1.1 \end{verbatim}
513     }
514 heimbach 1.3 \caption{~}
515 heimbach 1.1 \end{table}
516    
517     %----------------------------------------------------------------------
518    
519 molod 1.4 \subsubsection{Reference experiments}
520 heimbach 1.1
521 molod 1.4 global\_with\_exf:
522 heimbach 1.3
523 molod 1.4 lab\_sea:
524 heimbach 1.3
525 heimbach 1.1 %----------------------------------------------------------------------
526    
527 molod 1.4 \subsubsection{References}

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