3.1. Implementation

Icepack is written in FORTRAN90 and runs on platforms using UNIX, LINUX, and other operating systems. The code is not parallelized. (CHANGE IF OPENMP IS IMPLEMENTED)

Icepack consists of the sea ice column physics code, contained in the columnphysics/ directory, and a configuration/ directory that includes a driver for testing the column physics and a set of scripts for configuring the tests. Icepack is designed such that the column physics code may be used by a host sea ice model without direct reference to the driver or scripts, although these may be consulted for guidance when coupling the column physics code to the host sea ice model (CICE may also be useful for this.) Information about the interface between the column physics and the driver or host sea ice model is located in the Initialization and Forcing section.

3.1.1. Directory structure

The present code distribution includes source code for the column physics, source code for the driver, and the scripts. Forcing data is available from the ftp site. The directory structure of Icepack is as follows. All columnphysics filename have a prefix of icepack_ and all driver files are prefixed with icedrv_*.

LICENSE.pdf

license for using and sharing the code

DistributionPolicy.pdf

policy for using and sharing the code

README.md

basic information and pointers

columnphysics/

columnphysics source code, see Icepack Column Physics

configuration/scripts/

support scripts, see Scripts Implementation

configuration/driver/

icepack driver code, see Driver Implementation

doc/

documentation

icepack.setup

main icepack script for creating cases

A case (compile) directory is created upon initial execution of the script icepack.setup at the user-specified location provided after the -c flag. Executing the command ./icepack.setup -h provides helpful information for this tool.

3.1.2. Grid and boundary conditions

The driver configures a collection of grid cells on which the column physics code will be run. This “horizontal” grid is a vector of length nx, with a minimum length of 4. The grid vector is initialized with different sea ice conditions, such as open water, a uniform slab of ice, a multi-year ice thickness distribution with snow, and land. For simplicity, the same forcing values are applied to all grid cells.

Icepack includes two vertical grids. The basic vertical grid contains nilyr equally spaced grid cells. History variables available for column output are ice and snow temperature, Tinz and Tsnz. These variables also include thickness category as a fourth dimension.

In addition, there is a bio-grid that can be more finely resolved and includes additional nodes for boundary conditions. It is used for solving the brine height variable \(h_b\) and for discretizing the vertical transport equations of biogeochemical tracers. The bio-grid is a non-dimensional vertical grid which takes the value zero at \(h_b\) and one at the ice–ocean interface. The number of grid levels is specified during compilation by setting the variable NBGCLYR equal to an integer (\(n_b\)) .

Ice tracers and microstructural properties defined on the bio-grid are referenced in two ways: as bgrid \(=n_b+2\) points and as igrid\(=n_b+1\) points. For both bgrid and igrid, the first and last points reference \(h_b\) and the ice–ocean interface, respectively, and so take the values \(0\) and \(1\), respectively. For bgrid, the interior points \([2, n_b+1]\) are spaced at \(1/n_b\) intervals beginning with bgrid(2) = \(1/(2n_b)\). The igrid interior points \([2, n_b]\) are also equidistant with the same spacing, but physically coincide with points midway between those of bgrid.

3.1.3. Initialization and Forcing

Icepack’s parameters and variables are initialized in several steps. Many constants and physical parameters are set in icepack_parameters.F90. In the current driver implementation, a namelist file is read to setup the model. Namelist values are given default values in the code, which may then be changed when the input file icepack_in is read. Other physical constants, numerical parameters, and variables are first set in initialization routines for each ice model component or module. Then, if the ice model is being restarted from a previous run, core variables are read and reinitialized in restartfile, while tracer variables needed for specific configurations are read in separate restart routines associated with each tracer or specialized parameterization. Finally, albedo and other quantities dependent on the initial ice state are set. Some of these parameters will be described in more detail in the Tables of Namelist Options.

Two namelist variables control model initialization, ice_ic and restart. Setting ice_ic = ‘default’ causes the model to run using initial values set in the code. To start from a file filename, set restart = .true. and ice_ic = filename. When restarting using the Icepack driver, for simplicity the tracers are assumed to be set the same way (on/off) as in the run that created the restart file; i.e. that the restart file contains exactly the information needed for the new run. CICE is more flexible in this regard.

For stand-alone runs, routines in icedrv_forcing.F90 read and interpolate data from files, and are intended merely for testing, although they can also provide guidance for the user to write his or her own routines.

3.1.4. Choosing an appropriate time step

Transport in thickness space imposes a restraint on the time step, given by the ice growth/melt rate and the smallest range of thickness among the categories, \(\Delta t<\min(\Delta H)/2\max(f)\), where \(\Delta H\) is the distance between category boundaries and \(f\) is the thermodynamic growth rate. For the 5-category ice thickness distribution used as the default in this distribution, this is not a stringent limitation: \(\Delta t < 19.4\) hr, assuming \(\max(f) = 40\) cm/day.

3.1.5. Model output

The Icepack model provides diagnostic output files, binary or netCDF restart files, and a primitive netCDF history file capability. The sea ice model CICE provides more extensive options for model output, including many derived output variables.

3.1.5.1. Diagnostic files

Icepack writes diagnostic information for each grid cell as a separate file, ice_diag.*, identified by the initial ice state of the grid cell (no ice, slab, land, etc).

3.1.5.2. Restart files

Icepack provides restart data in binary unformatted format or netCDF. The restart files created by the Icepack driver contain all of the variables needed for a full, exact restart. The filename begins with the character string ‘iced.’ and is placed in the directory specified by the namelist variable restart_dir. The restart dump frequency is given by the namelist variable dumpfreq. The namelist variable ice_ic contains the pointer to the filename from which the restart data is to be read and the namelist option restart must be set to .true. to use the file. dump_last namelist can also be set to true to trigger restarts automatically at the end of runs. The default restart file format is binary, set in namelist with restart_format = ‘bin’. For netCDF, set restart_format = ‘nc’ or use icepack.setup -s restcdf.

The default configuration of Icepack does not support netCDF. If netCDF restart files are desired, the USE_NETCDF C preprocessor directive must be set during compilation. This is done by setting ICE_IOTYPE to netcdf in icepack.settings or using the icepack.setup -s option ionetcdf. If netCDF is used on a particular machine, the machine env and Macros file must support compilation with netCDF.

3.1.5.3. History files

Icepack has a primitive netCDF history capability that is turned on with the history_format namelist. When history_format is set to ‘nc’, history files are created for each run with a naming convention of icepack.h.yyyymmdd.nc in the run directory history directory. The yyyymmdd is the start date for each run. Use icepack.setup -s histcdf to turn on netCDF history files automatically.

When Icepack history files are turned on, data for a set of fixed fields is written to the history file for each column at every timestep without ability to control fields, frequencies, or temporal averaging. All output fields are hardwired into the implementation in configuration/driver/icedrv_history.F90 file. The netCDF file does NOT meet netCDF CF conventions and is provided as an amenity in the standalone Icepack model. Users are free to modify the output fields or extend the implementation and are encouraged to share any updates with the Consortium.

The default configuration of Icepack does not support netCDF. If netCDF history files are desired, the USE_NETCDF C preprocessor directive must be set during compilation. This is done by setting ICE_IOTYPE to netcdf in icepack.settings or using the icepack.setup -s option ionetcdf. If netCDF is used on a particular machine, the machine env and Macros file must support compilation with netCDF.

3.1.5.4. Biogeochemistry History Fields

History output is not provided with Icepack. This documentation indicates what is available for output and is implemented in CICE.

Table Biogeochemical History variables lists the biogeochemical tracer history flags along with a short description and the variable or variables saved. Not listed are flags appended with _ai, i.e. f_fbio_ai. These fields are identical to their counterpart. i.e. f_fbio, except they are averaged by ice area.

Biogeochemical History variables

History Flag

Definition

Variable(s)

Units

f_fiso_atm

atmospheric water isotope deposition flux

fiso_atm

kg m\(^{-2}\) s\(^{-1}\)

f_fiso_ocn

water isotope flux from ice to ocean

fiso_ocn

kg m\(^{-2}\) s\(^{-1}\)

f_iso

isotope mass (snow and ice)

isosno, isoice

kg/kg

f_faero_atm

atmospheric aerosol deposition flux

faero_atm

kg m\(^{-2}\) s\(^{-1}\)

f_faero_ocn

aerosol flux from ice to ocean

faero_ocn

kg m\(^{-2}\) s\(^{-1}\)

f_aero

aerosol mass (snow and ice ssl and int)

aerosnossl, aerosnoint,aeroicessl, aeroiceint

kg/kg

f_fbio

biological ice to ocean flux

fN, fDOC, fNit, fAm,fDON,fFep\(^a\), fFed\(^a\), fSil,fhum, fPON, fDMSPd,fDMS, fDMSPp, fzaero

mmol m\(^{-2}\) s\(^{-1}\)

f_zaero

bulk z-aerosol mass fraction

zaero

kg/kg

f_bgc_S

DEPRECATED

bgc_S

ppt

f_bgc_N

bulk algal N concentration

bgc_N

mmol m\(^{-3}\)

f_bgc_C

bulk algal C concentration

bgc_C

mmol m\(^{-3}\)

f_bgc_DOC

bulk DOC concentration

bgc_DOC

mmol m\(^{-3}\)

f_bgc_DON

bulk DON concentration

bgc_DON

mmol m\(^{-3}\)

f_bgc_DIC

bulk DIC concentration

bgc_DIC

mmol m\(^{-3}\)

f_bgc_chl

bulk algal chlorophyll concentration

bgc_chl

mg chl m\(^{-3}\)

f_bgc_Nit

bulk nitrate concentration

bgc_Nit

mmol m\(^{-3}\)

f_bgc_Am

bulk ammonium concentration

bgc_Am

mmol m\(^{-3}\)

f_bgc_Sil

bulk silicate concentration

bgc_Sil

mmol m\(^{-3}\)

f_bgc_DMSPp

bulk particulate DMSP concentration

bgc_DMSPp

mmol m\(^{-3}\)

f_bgc_DMSPd

bulk dissolved DMSP concentration

bgc_DMSPd

mmol m\(^{-3}\)

f_bgc_DMS

bulk DMS concentration

bgc_DMS

mmol m\(^{-3}\)

f_bgc_Fe

bulk dissolved and particulate iron conc.

bgc_Fed, bgc_Fep

\(\mu\,\)mol m\(^{-3}\)

f_bgc_hum

bulk humic matter concentration

bgc_hum

mmol m\(^{-3}\)

f_bgc_PON

bulk passive mobile tracer conc.

bgc_PON

mmol m\(^{-3}\)

f_upNO

Total algal \({\mbox{NO$_3$}}\) uptake rate

upNO

mmol m\(^{-2}\) d\(^{-1}\)

f_upNH

Total algal \({\mbox{NH$_4$}}\) uptake rate

upNH

mmol m\(^{-2}\) d\(^{-1}\)

f_bgc_ml

upper ocean tracer concentrations

ml_N, ml_DOC, ml_Nit,ml_Am, ml_DON, ml_Fep\(^b\),ml_Fed\(^b\), ml_Sil, ml_hum, ml_PON,ml_DMS, ml_DMSPd, ml_DMSPp

mmol m\(^{-3}\)

f_bTin

ice temperature on the bio grid

bTizn

\(^o\)C

f_bphi

ice porosity on the bio grid

bphizn

%

f_iDin

brine eddy diffusivity on the interface bio grid

iDin

m\(^{2}\) d\(^{-1}\)

f_iki

ice permeability on the interface bio grid

ikin

mm\(^{2}\)

f_fbri

ratio of brine tracer height to ice thickness

fbrine

1

f_hbri

brine tracer height

hbrine

m

f_zfswin

internal ice PAR on the interface bio grid

zfswin

W m\(^{-2}\)

f_bionet

brine height integrated tracer concentration

algalN_net, algalC_net, chl_net, pFe\(^c\)_net, dFe\(^c\)_net, Sil_net, Nit_net, Am_net, hum_net, PON_net, DMS_net, DMSPd_net, DMSPp_net, DOC_net, zaero_net, DON_net

mmol m\(^{-2}\)

f_biosnow

snow integrated tracer concentration”

algalN_snow, algalC_snow,chl_snow, pFe\(^c\)_snow, dFe\(^c\)_snow,Sil_snow, Nit_snow, Am_snow, hum_snow, PON_snow, DMS_snow, DMSPd_snow, DMSPp_snow, DOC_snow, zaero_snow, DON_snow

mmol m\(^{-2}\)

f_grownet

Net specific algal growth rate

grow_net

m d\(^{-1}\)

f_PPnet

Net primary production

PP_net

mgC m\(^{-2}\) d\(^{-1}\)

f_algalpeak

interface bio grid level of peak chla

peak_loc

1

f_zbgc_frac

mobile fraction of tracer

algalN_frac, chl_frac, pFe_frac,dFe_frac, Sil_frac, Nit_frac,Am_frac, hum_frac, PON_frac,DMS_frac, DMSPd_frac, DMSPp_frac,DOC_frac, zaero_frac, DON_frac

1

\(^a\) units are \(\mu\)mol m\(^{-2}\) s\(^{-1}\)

\(^b\) units are \(\mu\)mol m\(^{-3}\)

\(^c\) units are \(\mu\)mol m\(^{-2}\)