gsw_specvol_diff_CT_exact

`specific volume difference between two pressures`

USAGE:

`specvol_diff_CT_exact = gsw_specvol_diff_CT_exact(SA,CT,p_shallow,p_deep)`

DESCRIPTION:

```Calculates the difference of the specific volume of seawater between
two different pressures, p_deep (the deeper pressure) and p_shallow
(the shallower pressure), at the same values of SA and CT. ```
```Note that this function uses the full Gibbs function.  There is an
alternative to calling this function, namely gsw_specvol_diff(SA,CT,p),
which uses the computationally efficient 75-term expression for specific
volume in terms of SA, CT and p (Roquet et al., 2015).   ```

INPUT:

```SA  =  Absolute Salinity                                        [ g/kg ]
CT  =  Conservative Temperature                                [ deg C ]
p_shallow  =  upper sea pressure                                [ dbar ]
( i.e. shallower absolute pressure - 10.1325 dbar )
p_deep     =  lower sea pressure                                [ dbar ]
( i.e. deeper absolute pressure - 10.1325 dbar )```
```SA & CT need to have the same dimensions.
p_shallow and p_deep may have dimensions 1x1 or Mx1 or 1xN or MxN, where
SA and CT are MxN.```

OUTPUT:

```specvol_diff_CT_exact  =  difference of specific volume       [ m^3/kg ]
(deep minus shallow)                      ```

EXAMPLE:

```SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
CT = [28.8099; 28.4392; 22.7862; 10.2262;  6.8272;  4.3236;]
p_shallow =  [   10;    50;   125;   250;   600;   1000;]
p_deep    =  [   60;   110;   200;   450;   900;   1400;]```
`specvol_diff_CT_exact = gsw_specvol_diff_CT_exact(SA,CT,p_shallow,p_deep)`
`specvol_diff_CT_exact =`
`   1.0e-05 *`
```  -0.020107602582064
-0.024102805339403
-0.030460724316094
-0.084514498811881
-0.127264493178373
-0.169490411738502```

AUTHOR:

`Trevor McDougall and Paul Barker       [ help@teos-10.org ]`

VERSION NUMBER:

`3.06.13 (30th July, 2021)`

REFERENCES:

```IOC, SCOR and IAPSO, 2010: The international thermodynamic equation of
seawater - 2010: Calculation and use of thermodynamic properties.
Intergovernmental Oceanographic Commission, Manuals and Guides No. 56,
UNESCO (English), 196 pp.  Available from the TEOS-10 web site.```
```McDougall, T.J., D.R. Jackett, D.G. Wright and R. Feistel, 2003:
Accurate and computationally efficient algorithms for potential
temperature and density of seawater.  J. Atmosph. Ocean. Tech., 20,
pp. 730-741.```
```Roquet, F., G. Madec, T.J. McDougall and P.M. Barker, 2015: Accurate
polynomial expressions for the density and specific volume of seawater
using the TEOS-10 standard.  Ocean Modelling, 90, pp. 29-43.
http://dx.doi.org/10.1016/j.ocemod.2015.04.002```
`The software is available from http://www.TEOS-10.org`