gsw_CT_second_derivatives | R Documentation |

Second Derivatives of Conservative Temperature

gsw_CT_second_derivatives(SA, pt)

`SA` |
Absolute Salinity [ g/kg ] |

`pt` |
potential temperature (ITS-90) [ degC ] |

A list containing `CT_SA_SA`

[ K/(g/kg)^2 ], the second derivative of
Conservative Temperature with respect to Absolute Salinity at constant
potential temperature, and `CT_SA_pt`

[ 1/(g/kg) ], the derivative of
Conservative Temperature with respect to potential temperature and
Absolute Salinity, and `CT_pt_pt`

[ 1/degC ], the second derivative of
Conservative Temperature with respect to potential temperature.

This R function uses a wrapper to a C function contained within the GSW-C system as updated 2021-12-28 at https://github.com/TEOS-10/GSW-C with git commit '98f0fd40dd9ceb0ba82c9d47ac750e935a7d0459'.

The C function uses data from the `library/gsw_data_v3_0.mat`

file provided in the GSW-Matlab source code, version 3.06-11.
Unfortunately, this version of the mat file is no longer displayed on the
TEOS-10.org website. Therefore, in the interests of making GSW-R be
self-contained, a copy was downloaded from
http://www.teos-10.org/software/gsw_matlab_v3_06_11.zip on 2022-05-25,
the .mat file was stored in the developer/create_data directory of
https://github.com/TEOS-10/GSW-R, and then the dataset used in GSW-R
was created based on that .mat file.

Please consult http://www.teos-10.org to learn more about the various TEOS-10 software systems.

http://www.teos-10.org/pubs/gsw/html/gsw_CT_second_derivatives.html

SA <- c(34.7118, 34.8915, 35.0256, 34.8472, 34.7366, 34.7324) pt <- c(28.7832, 28.4209, 22.7850, 10.2305, 6.8292, 4.3245) r <- gsw_CT_second_derivatives(SA, pt) stopifnot(all.equal(r$CT_SA_SA/1e-3, c(-0.060718502077064, -0.062065324400873, -0.084017055354742, -0.148436050120131, -0.171270386500246, -0.189920754900116))) stopifnot(all.equal(r$CT_SA_pt, c(-0.001197415000869, -0.001198309530139, -0.001226523296082, -0.001335896286481, -0.001380492698572, -0.001417751669135))) stopifnot(all.equal(r$CT_pt_pt/1e-3, c(0.123012754427146, 0.124662008871271, 0.140829458783443, 0.140646803448166, 0.113684095615077, 0.082286843477998)))

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