gsw_CT_from_rho_exact

Conservative Temperature from density

Contents

USAGE:

[CT, CT_multiple] = gsw_CT_from_rho_exact(rho,SA,p)

DESCRIPTION:

Calculates the Conservative Temperature of a seawater sample, for given
values of its density, Absolute Salinity and sea pressure (in dbar).
Note that this function uses the full Gibbs function.  There is an 
alternative to calling this function, namely gsw_CT_from_rho(rho,SA,p),
which uses the computationally efficient 48-term expression for density 
in terms of SA, CT and p (McDougall et al., 2011).
TEOS-10 
Click for a more detailed description of calculating
Conservative Temperature from density.

INPUT:

rho =  density of a seawater sample (e.g. 1026 kg/m^3)        [ kg/m^3 ]
   Note. This input has not had 1000 kg/m^3 subtracted from it.
     That is, it is 'density', not 'density anomaly'.
SA  =  Absolute Salinity                                        [ g/kg ]
p   =  sea pressure                                             [ dbar ]
       ( i.e. absolute pressure - 10.1325 dbar )
rho & SA need to have the same dimensions.
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where rho & SA are MxN.

OUTPUT:

CT           =  Conservative Temperature (ITS-90)                    [ deg C ]
CT_multiple  =  Conservative Temperature (ITS-90)                    [ deg C ]
  Note that at low salinities, in brackish water, there are two possible
    temperatures for a single density.  This programme will output both 
    valid solutions.  To see this second solution the user must call the 
    programme with two outputs (i.e. [CT, CT_multiple]), if there is only 
    one possible solution and the programme has been called with two 
    outputs the second variable will be set to NaN.

EXAMPLE:

rho = [1021.8484; 1022.2647; 1024.4207; 1027.7841; 1029.8287; 1031.9916;]
SA =  [  34.7118;   34.8915;   35.0256;   34.8472;   34.7366;   34.7324;]
p =   [       10;        50;       125;       250;       600;      1000;]
[CT, CT_multiple] = gsw_CT_from_rho_exact(rho,SA,p)
CT =
  28.785118589681232
  28.433134593870061
  22.810525577671587
  10.260445791010415
   6.886933933678708
   4.404197563038778
CT_multiple =
   NaN
   NaN
   NaN
   NaN
   NaN
   NaN

AUTHOR:

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

VERSION NUMBER:

3.01 (26th May, 2011)

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.
  See sections 3.1 and 3.3 of this TEOS-10 Manual.
McDougall T.J., P.M. Barker, R. Feistel and D.R. Jackett, 2011:  A 
 computationally efficient 48-term expression for the density of 
 seawater in terms of Conservative Temperature, and related properties
 of seawater.  To be submitted to Ocean Science Discussions. 
The software is available from http://www.TEOS-10.org