About SOSIE

SOSIE is a tool that allows fast and high-quality 2D and 3D interpolation of geophysical fields from a gridded domain to another. "Sosie" is the french word for "double" (like in look-alike). SOSIE is developed and distributed under the GNU General Public License (GPL).

SOSIE was originally intended to interpolate geophysical fields onto the ORCA family of tri-polar grids used by the NEMO ocean general circulation model (ORCA2, ORCA1, ORCA05, ORCA025). It now supports a wide range of source/target grid configuration for scalar fields interpolation but vector rotation in distorted target grid regions is only supported for the ORCA grids so far.

The main interpolation algorithm of SOSIE is based on the method of**Akima (1970)**: "__A New Method of Interpolation and
Smooth Surface Fitting Based On Local Procedures__, *J.of Applied
Comput. Math*., 17, 589-602." In SOSIE, this method has been coded
from scratch in plain *Fortran-90*. The algorithm is made highly
efficient by skipping solving a 16x16 linear system for each treated
point of the target grid. Instead, a particularly efficient way to
calculate the general solution of the 16x16 system was found
(J.M. Brankart, personal communication).

Compared to more widely used interpolation methods such as bilinear or bicubic splines, the*Akima* method allows, at an
extremely low numerical cost, continuous and smooth interpolated
fields without errors related to overshoots (as for polynomial
functions, see 1D illustrations below).

SOSIE can perform 3D interpolation. This is fake 3D interpolation though: each level is independently interpolated on the target horizontal domain and vertical interpolation (using Akima 1D algorithm) is then performed. SOSIE uses Netcdf as IO file format.

**Author:** Laurent Brodeau (brodeau (at) gmail)

**Contributors:** Jean-Michel Brankart, Jean-Marc Molines and
Pierre Mathiot

SOSIE is a tool that allows fast and high-quality 2D and 3D interpolation of geophysical fields from a gridded domain to another. "Sosie" is the french word for "double" (like in look-alike). SOSIE is developed and distributed under the GNU General Public License (GPL).

SOSIE was originally intended to interpolate geophysical fields onto the ORCA family of tri-polar grids used by the NEMO ocean general circulation model (ORCA2, ORCA1, ORCA05, ORCA025). It now supports a wide range of source/target grid configuration for scalar fields interpolation but vector rotation in distorted target grid regions is only supported for the ORCA grids so far.

The main interpolation algorithm of SOSIE is based on the method of

Compared to more widely used interpolation methods such as bilinear or bicubic splines, the

SOSIE can perform 3D interpolation. This is fake 3D interpolation though: each level is independently interpolated on the target horizontal domain and vertical interpolation (using Akima 1D algorithm) is then performed. SOSIE uses Netcdf as IO file format.

Limitation of the Akima method

The*Akima* algorithm can only be used for interpolating fields
mapped on non-distorted horizontal grids, i.e. on so-called lat-lon
regular domains in which latitude and longitude arrays are 1D and only
dependent of respectively j and i. A bilinear interpolation
alternative is included in SOSIE and can be used for distorted input
domains. However, there is no limitation regarding the type of the
target grid: both regular and distorted target grids are supported by
the *Akima* method.

The

Illustration 1D

**Fig. 1-2:** Comparison between the *Akima* method coded in
SOSIE and the widely-used cubic spline method (from Matlab), for two
different "discontinuous" patterns of input (x,y) points.

Illustration 2D

In this first example, the mean long term sea surface temperature of Reynolds (2002) is interpolated from a spherical input lat-lon grid (360x180) to the tri-polar ORCA1 (distorted) grid. This example is provided as a template configuration (example #1) in the SOSIE package, see the "A few examples" section.

**Fig. 3:** March mean SST (Reynolds, 2002), original regular lat-lon grid (360x180).

**Fig. 4:** March mean SST (Reynolds, 2002), interpolated on the
tri-polar ORCA1 grid using the Akima method

In the following example, a random SST snapshot from a random NEMO-ORCA1 simulation is interpolated with the SOSIE bi-linear algorithm from the tri-polar ORCA1 (distorted) grid to a spherical output lat-lon grid auto-generated by SOSIE (1x1 degree). This example is provided as a template configuration (example #3) in the SOSIE package, see the "A few examples" section. This example also illustrates the action of the DROWN algorithm, used to extrapolate sea values over continents (see Fig. 6)
**Fig. 5:** Random NEMO-ORCA1 SST snapshot, on its original ORCA1
grid. Note that not all iso-longitudes and -latitudes are
represented for clarity.

**Fig. 6:** Random NEMO-ORCA1 SST snapshot, interpolated on a regular 1x1 degree
lat-lon grid with the bilinear method

In this first example, the mean long term sea surface temperature of Reynolds (2002) is interpolated from a spherical input lat-lon grid (360x180) to the tri-polar ORCA1 (distorted) grid. This example is provided as a template configuration (example #1) in the SOSIE package, see the "A few examples" section.

In the following example, a random SST snapshot from a random NEMO-ORCA1 simulation is interpolated with the SOSIE bi-linear algorithm from the tri-polar ORCA1 (distorted) grid to a spherical output lat-lon grid auto-generated by SOSIE (1x1 degree). This example is provided as a template configuration (example #3) in the SOSIE package, see the "A few examples" section. This example also illustrates the action of the DROWN algorithm, used to extrapolate sea values over continents (see Fig. 6)

Obtaining SOSIE

Up to date version of SOSIE can be installed via Subversion using the following command:

Up to date version of SOSIE can be installed via Subversion using the following command:

```
svn co svn://svn.code.sf.net/p/sosie/code/trunk sosie
```

You can browse the svn depository or download a tarball containing the
last svn version of the code on the following page:
http://sosie.svn.sourceforge.net/viewvc/sosie/
Using SOSIE

Once you have read the README file and compiled the executable, you simply need to configure everything into a Fortran*namelist*. A
well-documented template namelist is provided (template.namelist).

Once you have read the README file and compiled the executable, you simply need to configure everything into a Fortran

A few examples

Into the "examples" sub-directory you will find a collection of namelists and Netcdf files to test SOSIE for different kinds of setups. For each example you will find a commented and working namelist (namelist.exampleX) detailing the relevant namelist tuning.

We encourage you to use a software like ncview to visualize files to be interpolated and interpolated files.

The common approach to test a given example (# X):

**• Example #1: basic 2D scalar field interpolation **

Interpolation of Reynolds (2002) Long Term Mean SST onto the ORCA1 grid (illustrated on Fig. 3-4).

Do the interpolation:**SST_360x180-ORCA1_REYNOLDS_LTM.nc**

**• Example #2: 3D scalar field interpolation **

3D interpolation of Levitus (1998) temperature climatology onto the ORCA1 grid (only march).**temp_360x180-ORCA1_march.nc**

**• Example #3: Interpolation from an irregular (ORCA1) to a
regular lat-lon 1x1 deg. grid **

2D interpolation of a SST snapshot from a random NEMO-ORCA1 simulation onto lat-lon 1x1 deg. grid using the**bilinear algorithm**
(illustrated on Fig. 5-6).
**sst_ORCA1-1x1_test.nc**

**• Example #4: Interpolation and correction of a 2D vector field
from a regular lat-lon 1x1 deg. grid to an irregular grid (ORCA1)**

As the ORCA family of grids gets distorted in the northern hemisphere it is necessary to correct (i.e. rotate) both components of the vector. In this example the input vector field is the wind at 10 from a few 6-hourly snapshots of the ERA-INTERIM re-analysis.

Do the "raw" interpolation for the zonal component of the wind:**uraw_1x1-deg-ORCA1_vct.nc** and
**vraw_1x1-deg-ORCA1_vct.nc** are created, time to
correct:
**u10_1x1-deg-ORCA1_vct.nc**
and **u10_1x1-deg-ORCA1_vct.nc**

**• Example #5: 2D regular lat-lon to stereographic
projection **

Interpolation of Reynolds (2002) Long Term Mean SST onto a polar stereographic projection of the North Pole and the Arctic region.

Do the interpolation:**SST_360x180-NAA_ARCTIC.nc**

**• Example #6: 3D interpolation from ORCA2 to ORCA1 tri-polar grids**

Interpolation of a random 3D+time monthly salinity field on the ORCA2 grid to the ORCA1 grid using the bilinear method.

Do the interpolation:**so_ORCA2-ORCA1_test.nc**

Into the "examples" sub-directory you will find a collection of namelists and Netcdf files to test SOSIE for different kinds of setups. For each example you will find a commented and working namelist (namelist.exampleX) detailing the relevant namelist tuning.

We encourage you to use a software like ncview to visualize files to be interpolated and interpolated files.

The common approach to test a given example (# X):

```
>> cd examples/
>> tar zxvf data.tar.gz
>> sosie.x -f namelist.exampleX
```

Interpolation of Reynolds (2002) Long Term Mean SST onto the ORCA1 grid (illustrated on Fig. 3-4).

Do the interpolation:

```
>> sosie.x -f namelist.example1
```

Check the newly created 3D interpolation of Levitus (1998) temperature climatology onto the ORCA1 grid (only march).

```
>> sosie.x -f namelist.example2
```

Check the newly created 2D interpolation of a SST snapshot from a random NEMO-ORCA1 simulation onto lat-lon 1x1 deg. grid using the

```
>> sosie.x -f namelist.example3
```

Check the newly created As the ORCA family of grids gets distorted in the northern hemisphere it is necessary to correct (i.e. rotate) both components of the vector. In this example the input vector field is the wind at 10 from a few 6-hourly snapshots of the ERA-INTERIM re-analysis.

Do the "raw" interpolation for the zonal component of the wind:

```
>> sosie.x -f namelist.example4_x
```

Do the "raw" interpolation for the meridional component of the
wind:
```
>> sosie.x -f namelist.example4_y
```

Now that ```
>> corr_vect.x -x u10 -y v10 -f namelist.example4_x -m data/mesh_mask_ORCA1_light.nc
```

Check the newly created Interpolation of Reynolds (2002) Long Term Mean SST onto a polar stereographic projection of the North Pole and the Arctic region.

Do the interpolation:

```
>> sosie.x -f namelist.example5
```

Check the newly created Interpolation of a random 3D+time monthly salinity field on the ORCA2 grid to the ORCA1 grid using the bilinear method.

Do the interpolation:

```
>> sosie.x -f namelist.example6
```

Check the newly created Last edited by Laurent Brodeau, 2015/05/18