gsw_specvol_second_derivatives: Second Derivatives of Specific Volume

Description Usage Arguments Value Implementation Note References Examples

View source: R/gsw.R

Description

Second Derivatives of Specific Volume

Usage

1

Arguments

SA

Absolute Salinity [ g/kg ]

CT

Conservative Temperature [ degC ]

p

sea pressure [dbar], i.e. absolute pressure [dbar] minus 10.1325 dbar

Value

A list containing specvol_SA_SA [ (m^3/kg)/(g/kg)^2 ], the second derivative of specific volume with respect to Absolute Salinity, specvol_SA_CT [ (m^3/kg)/(g/kg)/degC ], the derivative of specific volume with respect to Absolute Salinity and Conservative Temperature, specvol_CT_CT [ (m^3/kg)/degC^2 ], the second derivative of specific volume with respect to Conservative Temperature, specvol_SA_p [ (m^3/kg)/(g/kg)/dbar ], the derivative of specific volume with respect to Absolute Salinity and pressure, and specvol_CT_p [ (m^3/kg)/K/dbar ], the derivative of specific volume with respect to Conservative Temperature and pressure.

Implementation Note

This R function uses a wrapper to a C function contained within the GSW-C system as updated 2021-03-27 at https://github.com/TEOS-10/GSW-C with git commit 'f7bfebf44f686034636facb09852f1d5760c27f5'. In turn, that 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 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 2021-0706, 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.

References

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

Examples

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SA <- c(34.7118, 34.8915, 35.0256, 34.8472, 34.7366, 34.7324)
CT <- c(28.7856, 28.4329, 22.8103, 10.2600,  6.8863,  4.4036)
p <- c(      10,      50,     125,     250,     600,    1000)
r <- gsw_specvol_second_derivatives(SA, CT, p)
stopifnot(all.equal(r$specvol_SA_SA/1e-8,
    c(0.080906777599140, 0.080915086639384, 0.084568844270812,
      0.096725108896007, 0.099111765836648, 0.100302277946072)))
stopifnot(all.equal(r$specvol_SA_CT/1e-8,
    c(0.129965332117084, 0.130523053162130, 0.149555815430615,
      0.217023290441810, 0.233892039070486, 0.243659989480325)))
stopifnot(all.equal(r$specvol_CT_CT/1e-7,
    c(0.071409582006642, 0.071582962051991, 0.077436153664104,
     0.095329736274850, 0.100105336953738, 0.103044572835472)))
stopifnot(all.equal(r$specvol_SA_p/1e-14,
    c(0.141281359467752, 0.141507584673426, 0.147247234588907,
      0.164580347761218, 0.168069801298412, 0.169948275518754)))
stopifnot(all.equal(r$specvol_CT_p/1e-14,
    c(0.085542828707964, 0.086723632576213, 0.112156562396990,
      0.188269893599500, 0.211615556759369, 0.228609575049911)))

gsw documentation built on July 8, 2021, 1:07 a.m.