Second Derivatives of Density wrt Enthalpy

Usage

gsw_rho_second_derivatives_wrt_enthalpy(SA, CT, p)

Arguments

SA: Absolute Salinity [ g/kg ]. The valid range for most `gsw` functions is 0 to 42 g/kg.
CT: Conservative Temperature [ degC ].
p: sea pressure [dbar], i.e. absolute pressure [dbar] minus 10.1325 dbar

Value

A list containing rho_SA_SA [ (kg/m^3)/(g/kg)^2 ], the second derivative of density with respect to Absolute Salinity, rho_SA_h [ (g/kg)/(g/kg)/(J/kg)], the derivative of density with respect to Absolute Salinity and enthalpy, and rho_h_h [ (kg/m^3)/(J/kg)^2 ], the second derivative of density with respect to enthalpy.

Implementation Note

This R function uses a wrapper to a C function contained within the GSW-C system as updated 2022-10-11 at https://github.com/TEOS-10/GSW-C with git commit `657216dd4f5ea079b5f0e021a4163e2d26893371`.

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.

References

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

Examples

SA <- c(34.7118, 34.8915, 35.0256, 34.8472, 34.7366, 34.7324)
CT <- c(28.8099, 28.4392, 22.7862, 10.2262,  6.8272,  4.3236)
p <- c(      10,      50,     125,     250,     600,    1000)
r <- gsw_rho_second_derivatives_wrt_enthalpy(SA, CT, p)

stopifnot(all.equal(r$rho_SA_SA/1e-3, c(0.207325714908677, 0.207131960039965,
            0.192001360206293, 0.133399974356615, 0.116504845152129,
            0.103433221305694)))

stopifnot(all.equal(r$rho_SA_h/1e-6, c(-0.459053080088382, -0.460370569872258,
            -0.498605615416296, -0.642833108550133, -0.682091962941161,
            -0.706793055445909)))

stopifnot(all.equal(r$rho_h_h/1e-9, c(-0.454213854637790, -0.455984900239309,
            -0.499870030989387, -0.628337767293403, -0.664021595759308,
            -0.687367088752173)))