mom_tfreeze mom_tfreeze::calculate_tfreeze_linear mom_tfreeze::calculate_tfreeze_millero mom_tfreeze::calculate_tfreeze_teos10 subroutine subroutine mom_tfreeze::calculate_tfreeze_linear_scalar (S, pres, T_Fr, TFr_S0_P0, dTFr_dS, dTFr_dp) calculate_tfreeze_linear_scalar S S pres pres T_Fr T_Fr TFr_S0_P0 TFr_S0_P0 dTFr_dS dTFr_dS dTFr_dp dTFr_dp This subroutine computes the freezing point potential temperature [degC] from salinity [ppt], and pressure [Pa] using a simple linear expression, with coefficients passed in as arguments. s salinity [ppt]. pres pressure [Pa]. t_fr Freezing point potential temperature [degC]. tfr_s0_p0 The freezing point at S=0, p=0 [degC]. dtfr_ds The derivative of freezing point with salinity, [degC ppt-1]. dtfr_dp The derivative of freezing point with pressure, [degC Pa-1]. subroutine subroutine mom_tfreeze::calculate_tfreeze_linear_array (S, pres, T_Fr, start, npts, TFr_S0_P0, dTFr_dS, dTFr_dp) calculate_tfreeze_linear_array S S pres pres T_Fr T_Fr start start npts npts TFr_S0_P0 TFr_S0_P0 dTFr_dS dTFr_dS dTFr_dp dTFr_dp This subroutine computes an array of freezing point potential temperatures [degC] from salinity [ppt], and pressure [Pa] using a simple linear expression, with coefficients passed in as arguments. s salinity [ppt]. pres pressure [Pa]. t_fr Freezing point potential temperature [degC]. start the starting point in the arrays. npts the number of values to calculate. tfr_s0_p0 The freezing point at S=0, p=0, [degC]. dtfr_ds The derivative of freezing point with salinity, [degC PSU-1]. dtfr_dp The derivative of freezing point with pressure, [degC Pa-1]. subroutine subroutine mom_tfreeze::calculate_tfreeze_millero_scalar (S, pres, T_Fr) calculate_tfreeze_millero_scalar S S pres pres T_Fr T_Fr This subroutine computes the freezing point potential temperature [degC] from salinity [ppt], and pressure [Pa] using the expression from Millero (1978) (and in appendix A of Gill 1982), but with the of the pressure dependence changed from 7.53e-8 to 7.75e-8 to make this an expression for potential temperature (not in situ temperature), using a value that is correct at the freezing point at 35 PSU and 5e6 Pa (500 dbar). s Salinity in PSU. pres Pressure [Pa]. t_fr Freezing point potential temperature [degC]. subroutine subroutine mom_tfreeze::calculate_tfreeze_millero_array (S, pres, T_Fr, start, npts) calculate_tfreeze_millero_array S S pres pres T_Fr T_Fr start start npts npts This subroutine computes the freezing point potential temperature [degC] from salinity [ppt], and pressure [Pa] using the expression from Millero (1978) (and in appendix A of Gill 1982), but with the of the pressure dependence changed from 7.53e-8 to 7.75e-8 to make this an expression for potential temperature (not in situ temperature), using a value that is correct at the freezing point at 35 PSU and 5e6 Pa (500 dbar). s Salinity [PSU]. pres Pressure [Pa]. t_fr Freezing point potential temperature [degC]. start The starting point in the arrays. npts The number of values to calculate. subroutine subroutine mom_tfreeze::calculate_tfreeze_teos10_scalar (S, pres, T_Fr) calculate_tfreeze_teos10_scalar S S pres pres T_Fr T_Fr This subroutine computes the freezing point conservative temperature [degC] from absolute salinity [g/kg], and pressure [Pa] using the TEOS10 package. s Absolute salinity [g/kg]. pres Pressure [Pa]. t_fr Freezing point conservative temperature [degC]. calculate_tfreeze_teos10_array subroutine subroutine mom_tfreeze::calculate_tfreeze_teos10_array (S, pres, T_Fr, start, npts) calculate_tfreeze_teos10_array S S pres pres T_Fr T_Fr start start npts npts This subroutine computes the freezing point conservative temperature [degC] from absolute salinity [g/kg], and pressure [Pa] using the TEOS10 package. s absolute salinity [g/kg]. pres pressure [Pa]. t_fr Freezing point conservative temperature [degC]. start the starting point in the arrays. npts the number of values to calculate. calculate_tfreeze_teos10_scalar Freezing point expressions.