gsw_Turner_Rsubrho_CT25

Turner angle & Rsubrho (25-term equation)

Contents

USAGE:

[Tu, Rsubrho, p_mid, in_funnel] = gsw_Turner_Rsubrho_CT25(SA,CT,p)

DESCRIPTION:

Calculates the Turner angle and the Rsubrho as a function of pressure
down a vertical water column.  These quantities express the relative
contributions of the vertical gradients of Conservative Temperature and
Absolute Salinity to the vertical stability (the square of the
Brunt-Vaisala Frequency squared, N^2).  Tu and Rsubrho are evaluated at
the mid pressure between the individual data points in the vertical.
This function uses computationally-efficient 25-term expression for
density in terms of SA, CT and p (McDougall et al., 2010).
TEOS-10
Click for a more detailed description of the Turner
angle & Rsubrho.

INPUT:

SA  =  Absolute Salinity                                        [ g/kg ]
CT  =  Conservative Temperature                                [ deg C ]
p   =  sea pressure                                             [ dbar ]
       (ie. absolute pressure - 10.1325 dbar)
SA & CT need to have the same dimensions,
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA & CT are MxN.

OUTPUT:

Tu        =    Turner angle, on the same (M-1)xN grid as p_mid.
               Turner angle has units of:        [ degrees of rotation ]
Rsubrho   =    Stability Ratio, on the same (M-1)xN grid as p_mid.
               Rsubrho is dimensionless.                    [ unitless ]
p_mid     =    mid pressure between the indivual points of the p grid.
               That is, p_mid is on a (M-1)xN grid in the vertical.
               p_mid has units of:                              [ dbar ]
in_funnel  =   0, if (SA, CT and p) are outside the "funnel"
           =   1, if (SA, CT and p) are inside the "funnel"
Note. The term "funnel" describes the range of SA, CT and p over which
  the error in the fit of the computationally-efficient 25-term
  expression for density was calculated (McDougall et al., 2010).

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 =  [     10;      50;     125;     250;     600;    1000;]
[Tu, Rsubrho, p_mid, in_funnel] = gsw_Turner_Rsubrho_CT25(SA,CT,p)
Tu =
  -2.081599636326501
  41.758226366707646
  47.604100420927587
  53.716687678781497
  45.527957856195947
Rsubrho =
 1.0e+002 *
  -0.009298559867815
  -0.176553434913642
   0.219869869025208
   0.065223236816021
   1.085203244744855
p_mid =
 1.0e+002 *
  0.300000000000000
  0.875000000000000
  1.875000000000000
  4.250000000000000
  8.000000000000000
in_funnel =
   1
   1
   1
   1
   1
   1

AUTHOR:

Trevor McDougall & Paul Barker [ help_gsw@csiro.au ]

VERSION NUMBER:

2.0 (26th August, 2010)

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 Eqns. (3.15.1) and (3.16.1) of this TEOS-10 Manual.
McDougall T. J., D. R. Jackett, P. M. Barker, C. Roberts-Thomson, R.
 Feistel and R. W. Hallberg, 2010:  A computationally efficient 25-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