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

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