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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 heimbach 1.7 \centering
67 heimbach 1.1 \label{tab:pkg:exf:cpp}
68     {\footnotesize
69     \begin{tabular}{|l|l|}
70 heimbach 1.2 \hline
71 heimbach 1.1 \textbf{CPP option} & \textbf{Description} \\
72 heimbach 1.2 \hline \hline
73 heimbach 1.1 \texttt{EXF\_VERBOSE} &
74     verbose mode (recommended only for testing) \\
75     \texttt{ALLOW\_ATM\_TEMP} &
76     compute heat/freshwater fluxes from atmos. state input \\
77     \texttt{ALLOW\_ATM\_WIND} &
78     compute wind stress from wind speed input\\
79     \texttt{ALLOW\_BULKFORMULAE} &
80 heimbach 1.3 is used if \texttt{ALLOW\_ATM\_TEMP} or
81     \texttt{ALLOW\_ATM\_WIND} is enabled \\
82 heimbach 1.1 \texttt{EXF\_READ\_EVAP} & read evaporation instead of computing it \\
83     \texttt{ALLOW\_RUNOFF} & read time-constant river/glacier run-off field \\
84     \texttt{ALLOW\_DOWNWARD\_RADIATION} & compute net from downward or downward from net radiation \\
85     \texttt{USE\_EXF\_INTERPOLATION} & enable on-the-fly bilinear or bicubic interpolation of input fields \\
86     \hline
87 heimbach 1.3 \multicolumn{2}{|c|}{\textit{used in conjunction with relaxation to prescribed (climatological) fields}} \\
88     \hline
89 heimbach 1.1 \texttt{ALLOW\_CLIMTEMP\_RELAXATION} &
90 heimbach 1.3 relaxation to 3-D temperature climatology \\
91 heimbach 1.1 \texttt{ALLOW\_CLIMSALT\_RELAXATION} &
92 heimbach 1.2 relaxation to 3-D salinity climatology \\
93 heimbach 1.1 \texttt{ALLOW\_CLIMSST\_RELAXATION} &
94 heimbach 1.2 relaxation to 2-D SST climatology \\
95 heimbach 1.1 \texttt{ALLOW\_CLIMSSS\_RELAXATION} &
96 heimbach 1.2 relaxation to 2-D SSS climatology \\
97 heimbach 1.1 \hline
98 heimbach 1.3 \multicolumn{2}{|c|}{\textit{these are set outside of EXF in} \texttt{CPP\_OPTIONS.h}} \\
99     \hline
100     \texttt{SHORTWAVE\_HEATING} & enable shortwave radiation \\
101     \texttt{ATMOSPHERIC\_LOADING} & enable surface pressure forcing \\
102 heimbach 1.1 \hline
103     \end{tabular}
104     }
105     \caption{~}
106     \end{table}
107    
108    
109     %----------------------------------------------------------------------
110    
111 heimbach 1.2 \subsubsection{Run-time parameters
112 heimbach 1.1 \label{sec:pkg:exf:runtime}}
113    
114 heimbach 1.5 Run-time parameters are set in files
115     \texttt{data.pkg}, \texttt{data.exf}, and
116     \texttt{data.exf\_clim} (for relaxation/climatological fields)
117 heimbach 1.3 which are read in \texttt{exf\_readparms.F}.
118 heimbach 1.5 Run-time parameters may be broken into 3 categories:
119     (i) switching on/off the package at runtime,
120     (ii) general flags and parameters, and
121     (iii) attributes for each forcing and climatological field.
122    
123     \paragraph{Enabling the package}
124     ~ \\
125     %
126     A package is usually switched on/off at runtime by setting
127     (e.g. for EXF) \texttt{useEXF = .TRUE.} in \texttt{data.pkg}.
128     For EXF this flag is omitted, i.e. EXF is always ON if it is compiled.
129 heimbach 1.2
130     \paragraph{General flags and parameters}
131 heimbach 1.5 ~ \\
132     %
133 heimbach 1.2 \begin{table}[h!]
134 heimbach 1.7 \centering
135 heimbach 1.2 \label{tab:pkg:exf:runtime_flags}
136     {\footnotesize
137 heimbach 1.3 \begin{tabular}{|l|c|l|}
138 heimbach 1.2 \hline
139     \textbf{Flag/parameter} & \textbf{default} & \textbf{Description} \\
140     \hline \hline
141 heimbach 1.3 useExfCheckRange & \texttt{.TRUE.} &
142     check range of input fields and stop if out of range \\
143     useExfYearlyFields & \texttt{.FALSE.} &
144     append current year postfix of form \texttt{\_YYYY} on filename \\
145     twoDigitYear & \texttt{.FALSE.} &
146     instead of appending \texttt{\_YYYY} append \texttt{YY} \\
147     repeatPeriod & \texttt{0.0} & $ > 0 $ :
148     cycle through all input fields at the same period (in seconds) \\
149     ~ & ~ & $ = 0 $ :
150     use period assigned to each field \\
151     exf\_offset\_atemp & \texttt{0.0} & set to 273.16 to convert from deg. Kelvin (assumed input) to Celsius \\
152     windstressmax & \texttt{2.0} &
153     max. allowed wind stress $N/m^2$ \\
154     exf\_albedo & \texttt{0.1} &
155     surface albedo used to compute downward vs. net radiative fluxes \\
156     exf\_iprec & \texttt{32} &
157     precision of input fields (32-bit or 64-bit) \\
158     exf\_yftype & \texttt{'RL'} &
159     precision of arrays ('RL' vs. 'RS') \\
160 heimbach 1.2 \hline
161     \end{tabular}
162     }
163     \caption{~}
164     \end{table}
165    
166    
167 heimbach 1.5 \paragraph{Field attributes}
168     ~ \\
169 heimbach 1.3 %
170     All EXF fields are listed in Section \ref{sec:pkg:exf:fields_units}.
171     Each field has a number of attributes which can be customized.
172     They are summarized in
173     Table \ref{tab:pkg:exf:runtime_attributes}.
174     To obtain an attribute for a specific field, e.g. \texttt{uwind}
175     prepend the field name to the listed attribute, e.g. for attribute
176     \texttt{period} this yields \texttt{uwindperiod}:
177     %
178     \begin{eqnarray*}
179     \begin{array}{cccccc}
180     ~ & \texttt{field} & \& & \texttt{attribute} & \longrightarrow & \texttt{parameter} \\
181     \text{e.g.} & \text{uwind} & \& & \text{period} & \longrightarrow & \text{uwindperiod} \\
182     \end{array}
183     \end{eqnarray*}
184     %
185 heimbach 1.2
186 heimbach 1.3 \begin{table}[h!]
187 heimbach 1.7 \centering
188 heimbach 1.3 \label{tab:pkg:exf:runtime_attributes}
189     {\footnotesize
190     \begin{tabular}{|l|c|l|}
191     \hline
192     \textbf{attribute} & \textbf{Default} & \textbf{Description} \\
193     \hline \hline
194     \textit{field}\texttt{file} & ' ' &
195     filename; if left empty no file will be read; \texttt{const} will be used instead \\
196     \textit{field}\texttt{const} & 0. &
197     constant that will be used if no file is read \\
198     \textit{field}\texttt{startdate1} & 0. &
199     format: \texttt{YYYYMMDD}; start year (YYYY), month (MM), day (YY) \\
200     ~&~& of field to determine record number \\
201     \textit{field}\texttt{startdate2} & 0. &
202     format: \texttt{HHMMSS}; start hour (HH), minute (MM), second(SS) \\
203     ~&~& of field to determine record number\\
204     \textit{field}\texttt{period} & 0. &
205     interval in seconds between two records \\
206     \texttt{exf\_inscal\_}\textit{field}& ~ &
207     optional rescaling of input fields to comply with EXF units \\
208     \texttt{exf\_outscal\_}\textit{field}& ~ &
209     optional rescaling of EXF fields when mapped onto MITgcm fields \\
210     \hline
211     \multicolumn{3}{|c|}{\textit{used in conjunction with}
212     \texttt{EXF\_USE\_INTERPOLATION}} \\
213     \hline
214     \textit{field}\texttt{\_lon0} & $thetaMin+delX/2$ &
215     starting longitude of input \\
216     \textit{field}\texttt{\_lon\_inc} & $delX$ &
217     increment in longitude of input \\
218     \textit{field}\texttt{\_lat0} & $phiMin+delY/2$ &
219     starting latitude of input \\
220     \textit{field}\texttt{\_lat\_inc} & $delY$ &
221     increment in latitude of input \\
222     \textit{field}\texttt{\_nlon} & $Nx$ &
223     number of grid points in longitude of input \\
224     \textit{field}\texttt{\_nlat} & $Ny$ &
225     number of grid points in longitude of input \\
226     \hline
227     \end{tabular}
228     }
229     \caption{\newline
230     Note one exception for the default of
231     \texttt{atempconst} = celsius2K = 273.16}
232     \end{table}
233 heimbach 1.2
234 heimbach 1.3 \paragraph{Example configuration} ~ \\
235     %
236     The following block is taken from the \texttt{data.exf} file
237     of the veification experiment \texttt{global\_with\_exf/}.
238     It defines attributes for the heat flux variable \texttt{hflux}:
239    
240     \begin{verbatim}
241     hfluxfile = 'ncep_qnet.bin',
242     hfluxstartdate1 = 19920101,
243     hfluxstartdate2 = 000000,
244     hfluxperiod = 2592000.0,
245     hflux_lon0 = 2
246     hflux_lon_inc = 4
247     hflux_lat0 = -78
248     hflux_lat_inc = 39*4
249     hflux_nlon = 90
250     hflux_nlat = 40
251     \end{verbatim}
252    
253     EXF will read a file of name 'ncep\_qnet.bin'.
254     Its first record represents January 1st, 1991 at 00:00 UTC.
255     Next record is 2592000 seconds (or 30 days) later.
256     Interpolation on-the-fly is used (in the present case trivially
257     on the same grid, but included nevertheless for illustration),
258     and input field grid starting coordinates and increments are
259     supplied as well.
260 heimbach 1.2
261 heimbach 1.1 %----------------------------------------------------------------------
262    
263 molod 1.4 \subsubsection{EXF input fields and units
264 heimbach 1.1 \label{sec:pkg:exf:fields_units}}
265    
266     The following list is taken from the header file \texttt{exf\_fields.h}.
267 heimbach 1.3 It comprises all EXF input fields.
268    
269     Output fields which EXF provides to the MITgcm are fields
270     \textbf{fu}, \textbf{fv}, \textbf{Qnet}, \textbf{Qsw}, \textbf{EmPmR},
271     and \textbf{pload}. They are defined in \texttt{FFIELDS.h}.
272 heimbach 1.1
273 heimbach 1.5 {\footnotesize
274 heimbach 1.1 \begin{verbatim}
275    
276 heimbach 1.3 c----------------------------------------------------------------------
277     c |
278     c field :: Description
279     c |
280     c----------------------------------------------------------------------
281 heimbach 1.1 c ustress :: Zonal surface wind stress in N/m^2
282 heimbach 1.3 c | > 0 for increase in uVel, which is west to
283     c | east for cartesian and spherical polar grids
284     c | Typical range: -0.5 < ustress < 0.5
285     c | Southwest C-grid U point
286     c | Input field
287     c----------------------------------------------------------------------
288 heimbach 1.1 c vstress :: Meridional surface wind stress in N/m^2
289 heimbach 1.3 c | > 0 for increase in vVel, which is south to
290     c | north for cartesian and spherical polar grids
291     c | Typical range: -0.5 < vstress < 0.5
292     c | Southwest C-grid V point
293     c | Input field
294     c----------------------------------------------------------------------
295 heimbach 1.1 c hflux :: Net upward surface heat flux in W/m^2
296 heimbach 1.3 c | excluding shortwave (on input)
297     c | hflux = latent + sensible + lwflux
298     c | > 0 for decrease in theta (ocean cooling)
299     c | Typical range: -250 < hflux < 600
300     c | Southwest C-grid tracer point
301     c | Input field
302     c----------------------------------------------------------------------
303 heimbach 1.1 c sflux :: Net upward freshwater flux in m/s
304 heimbach 1.3 c | sflux = evap - precip - runoff
305     c | > 0 for increase in salt (ocean salinity)
306     c | Typical range: -1e-7 < sflux < 1e-7
307     c | Southwest C-grid tracer point
308     c | Input field
309     c----------------------------------------------------------------------
310 heimbach 1.1 c swflux :: Net upward shortwave radiation in W/m^2
311 heimbach 1.3 c | swflux = - ( swdown - ice and snow absorption - reflected )
312     c | > 0 for decrease in theta (ocean cooling)
313     c | Typical range: -350 < swflux < 0
314     c | Southwest C-grid tracer point
315     c | Input field
316     c----------------------------------------------------------------------
317 heimbach 1.1 c uwind :: Surface (10-m) zonal wind velocity in m/s
318 heimbach 1.3 c | > 0 for increase in uVel, which is west to
319     c | east for cartesian and spherical polar grids
320     c | Typical range: -10 < uwind < 10
321     c | Southwest C-grid U point
322     c | Input or input/output field
323     c----------------------------------------------------------------------
324 heimbach 1.1 c vwind :: Surface (10-m) meridional wind velocity in m/s
325 heimbach 1.3 c | > 0 for increase in vVel, which is south to
326     c | north for cartesian and spherical polar grids
327     c | Typical range: -10 < vwind < 10
328     c | Southwest C-grid V point
329     c | Input or input/output field
330     c----------------------------------------------------------------------
331 heimbach 1.1 c atemp :: Surface (2-m) air temperature in deg K
332 heimbach 1.3 c | Typical range: 200 < atemp < 300
333     c | Southwest C-grid tracer point
334     c | Input or input/output field
335     c----------------------------------------------------------------------
336 heimbach 1.1 c aqh :: Surface (2m) specific humidity in kg/kg
337 heimbach 1.3 c | Typical range: 0 < aqh < 0.02
338     c | Southwest C-grid tracer point
339     c | Input or input/output field
340     c----------------------------------------------------------------------
341 heimbach 1.1 c lwflux :: Net upward longwave radiation in W/m^2
342 heimbach 1.3 c | lwflux = - ( lwdown - ice and snow absorption - emitted )
343     c | > 0 for decrease in theta (ocean cooling)
344     c | Typical range: -20 < lwflux < 170
345     c | Southwest C-grid tracer point
346     c | Input field
347     c----------------------------------------------------------------------
348 heimbach 1.1 c evap :: Evaporation in m/s
349 heimbach 1.3 c | > 0 for increase in salt (ocean salinity)
350     c | Typical range: 0 < evap < 2.5e-7
351     c | Southwest C-grid tracer point
352     c | Input, input/output, or output field
353     c----------------------------------------------------------------------
354 heimbach 1.1 c precip :: Precipitation in m/s
355 heimbach 1.3 c | > 0 for decrease in salt (ocean salinity)
356     c | Typical range: 0 < precip < 5e-7
357     c | Southwest C-grid tracer point
358     c | Input or input/output field
359     c----------------------------------------------------------------------
360 heimbach 1.1 c runoff :: River and glacier runoff in m/s
361 heimbach 1.3 c | > 0 for decrease in salt (ocean salinity)
362     c | Typical range: 0 < runoff < ????
363     c | Southwest C-grid tracer point
364     c | Input or input/output field
365     c | !!! WATCH OUT: Default exf_inscal_runoff !!!
366     c | !!! in exf_readparms.F is not 1.0 !!!
367     c----------------------------------------------------------------------
368 heimbach 1.1 c swdown :: Downward shortwave radiation in W/m^2
369 heimbach 1.3 c | > 0 for increase in theta (ocean warming)
370     c | Typical range: 0 < swdown < 450
371     c | Southwest C-grid tracer point
372     c | Input/output field
373     c----------------------------------------------------------------------
374 heimbach 1.1 c lwdown :: Downward longwave radiation in W/m^2
375 heimbach 1.3 c | > 0 for increase in theta (ocean warming)
376     c | Typical range: 50 < lwdown < 450
377     c | Southwest C-grid tracer point
378     c | Input/output field
379     c----------------------------------------------------------------------
380 heimbach 1.1 c apressure :: Atmospheric pressure field in N/m^2
381 heimbach 1.3 c | > 0 for ????
382     c | Typical range: ???? < apressure < ????
383     c | Southwest C-grid tracer point
384     c | Input field
385     c----------------------------------------------------------------------
386    
387 heimbach 1.1 \end{verbatim}
388     }
389    
390     %----------------------------------------------------------------------
391    
392 molod 1.4 \subsubsection{Key subroutines
393 heimbach 1.1 \label{sec:pkg:exf:subroutines}}
394    
395 molod 1.4 Top-level routine: \texttt{exf\_getforcing.F}
396 heimbach 1.3
397 heimbach 1.5 {\footnotesize
398 heimbach 1.3 \begin{verbatim}
399    
400     C !CALLING SEQUENCE:
401     c ...
402     c exf_getforcing (TOP LEVEL ROUTINE)
403     c |
404     c |-- exf_getclim (get climatological fields used e.g. for relax.)
405     c | |--- exf_set_climtemp (relax. to 3-D temperature field)
406     c | |--- exf_set_climsalt (relax. to 3-D salinity field)
407     c | |--- exf_set_climsst (relax. to 2-D SST field)
408     c | |--- exf_set_climsss (relax. to 2-D SSS field)
409     c | o
410     c |
411     c |-- exf_getffields <- this one does almost everything
412     c | | 1. reads in fields, either flux or atmos. state,
413     c | | depending on CPP options (for each variable two fields
414     c | | consecutive in time are read in and interpolated onto
415     c | | current time step).
416     c | | 2. If forcing is atmos. state and control is atmos. state,
417     c | | then the control variable anomalies are read here
418     c | | * ctrl_getatemp
419     c | | * ctrl_getaqh
420     c | | * ctrl_getuwind
421     c | | * ctrl_getvwind
422     c | | If forcing and control are fluxes, then
423     c | | controls are added later.
424     c | o
425     c |
426     c |-- exf_check_range
427     c | | 1. Check whether read fields are within assumed range
428     c | | (may capture mismatches in units)
429     c | o
430     c |
431     c |-- exf_bulkformulae
432     c | | 1. Compute net or downwelling radiative fluxes via
433     c | | Stefan-Boltzmann law in case only one is known.
434     c | | 2. Compute air-sea momentum and buoyancy fluxes from
435     c | | atmospheric state following Large and Pond, JPO, 1981/82
436     c | o
437     c |
438     c |-- < add time-mean river runoff here, if available >
439     c |
440     c |-- < update tile edges here >
441     c |
442     c |-- exf_getsurfacefluxes
443     c | | 1. If forcing and control are fluxes, then
444     c | | controls are added here.
445     c | o
446     c |
447     c |-- < treatment of hflux w.r.t. swflux >
448     c |
449     c |-- exf_diagnostics_fill
450     c | | 1. Do EXF-related diagnostics output here.
451     c | o
452     c |
453     c |-- exf_mapfields
454     c | | 1. Map the EXF variables onto the core MITgcm
455     c | | forcing fields.
456     c | o
457     c |
458     c |-- exf_bulkformulae
459     c | If ALLOW_BULKFORMULAE, compute fluxes via bulkformulae
460     c |
461     c |-- exf_getsurfacefluxes
462     c | If forcing and control is flux, then the
463     c | control vector anomalies are read here
464     c | * ctrl_getheatflux
465     c | * ctrl_getsaltflux
466     c | * ctrl_getzonstress
467     c | * call ctrl_getmerstress
468     c |
469     c |-- exf_mapfields
470     c | Forcing fields from exf package are mapped onto
471     c | mitgcm forcing arrays.
472     c | Mapping enables a runtime rescaling of fields
473    
474     \end{verbatim}
475     }
476    
477 molod 1.4 Bulk formula routine: \texttt{exf\_bulkformulae.F}
478 heimbach 1.3
479 molod 1.4 Generic I/O routine: \texttt{exf\_set\_gen.F}
480 heimbach 1.3
481 molod 1.4 Interpolation routine: \texttt{exf\_interp.F}
482 heimbach 1.3
483 molod 1.4 Header routines
484 heimbach 1.3
485 heimbach 1.1 %----------------------------------------------------------------------
486    
487 molod 1.4 \subsubsection{EXF diagnostics
488 heimbach 1.1 \label{sec:pkg:exf:diagnostics}}
489    
490     Diagnostics output is available via the diagnostics package
491     (see Section \ref{sec:pkg:diagnostics}).
492     Available output fields are summarized in
493     Table \ref{tab:pkg:exf:diagnostics}.
494    
495 heimbach 1.3 \begin{table}[h!]
496 heimbach 1.7 \centering
497 heimbach 1.1 \label{tab:pkg:exf:diagnostics}
498     {\footnotesize
499     \begin{verbatim}
500     ------------------------------------------------------
501     <-Name->|Levs|grid|<-- Units -->|<- Tile (max=80c)
502     ------------------------------------------------------
503 heimbach 1.3 EXFlwdn | 1 | SM | W/m^2 | Downward longwave radiation, >0 increases theta
504     EXFswdn | 1 | SM | W/m^2 | Downward shortwave radiation, >0 increases theta
505     EXFqnet | 1 | SM | W/m^2 | Net upward heat flux (turb+rad), >0 decreases theta
506     EXFtaux | 1 | SU | N/m^2 | zonal surface wind stress, >0 increases uVel
507     EXFtauy | 1 | SV | N/m^2 | meridional surface wind stress, >0 increases vVel
508     EXFuwind| 1 | SM | m/s | zonal 10-m wind speed, >0 increases uVel
509     EXFvwind| 1 | SM | m/s | meridional 10-m wind speed, >0 increases uVel
510     EXFatemp| 1 | SM | degK | surface (2-m) air temperature
511     EXFaqh | 1 | SM | kg/kg | surface (2-m) specific humidity
512     EXFevap | 1 | SM | m/s | evaporation, > 0 increases salinity
513     EXFpreci| 1 | SM | m/s | evaporation, > 0 decreases salinity
514     EXFempmr| 1 | SM | m/s | net upward freshwater flux, > 0 increases salinity
515     EXFpress| 1 | SM | N/m^2 | atmospheric pressure field
516 heimbach 1.1 \end{verbatim}
517     }
518 heimbach 1.3 \caption{~}
519 heimbach 1.1 \end{table}
520    
521     %----------------------------------------------------------------------
522    
523 molod 1.4 \subsubsection{Reference experiments}
524 heimbach 1.1
525 molod 1.4 global\_with\_exf:
526 heimbach 1.3
527 molod 1.4 lab\_sea:
528 heimbach 1.3
529 heimbach 1.1 %----------------------------------------------------------------------
530    
531 molod 1.4 \subsubsection{References}

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