mom_eos_nemo::calculate_density_derivs_nemo Interface Reference

Detailed Description

For a given thermodynamic state, return the derivatives of density with conservative temperature and absolute salinity, the expressions derived for use with NEMO.

Definition at line 34 of file MOM_EOS_NEMO.F90.

Private functions
subroutine	calculate_density_derivs_scalar_nemo (T, S, pressure, drho_dt, drho_ds)
	Wrapper to calculate_density_derivs_array for scalar inputs. More...
subroutine	calculate_density_derivs_array_nemo (T, S, pressure, drho_dT, drho_dS, start, npts)
	For a given thermodynamic state, calculate the derivatives of density with conservative temperature and absolute salinity, using the expressions derived for use with NEMO. More...

Detailed Description

For a given thermodynamic state, return the derivatives of density with conservative temperature and absolute salinity, the expressions derived for use with NEMO.

Definition at line 34 of file MOM_EOS_NEMO.F90.

Functions and subroutines

calculate_density_derivs_array_nemo()

subroutine mom_eos_nemo::calculate_density_derivs_nemo::calculate_density_derivs_array_nemo ( real, dimension(:), intent(in)  T, real, dimension(:), intent(in)  S, real, dimension(:), intent(in)  pressure, real, dimension(:), intent(out)  drho_dT, real, dimension(:), intent(out)  drho_dS, integer, intent(in)  start, integer, intent(in)  npts  )

private

For a given thermodynamic state, calculate the derivatives of density with conservative temperature and absolute salinity, using the expressions derived for use with NEMO.

Parameters

[in]	t	Conservative temperature [degC].
[in]	s	Absolute salinity [g kg-1].
[in]	pressure	pressure [Pa].
[out]	drho_dt	The partial derivative of density with potential temperature [kg m-3 degC-1].
[out]	drho_ds	The partial derivative of density with salinity, in [kg m-3 ppt-1].
[in]	start	The starting point in the arrays.
[in]	npts	The number of values to calculate.

Definition at line 268 of file MOM_EOS_NEMO.F90.

  real,    intent(in),  dimension(:) :: T        !< Conservative temperature [degC].
  real,    intent(in),  dimension(:) :: S        !< Absolute salinity [g kg-1].
  real,    intent(in),  dimension(:) :: pressure !< pressure [Pa].
  real,    intent(out), dimension(:) :: drho_dT  !< The partial derivative of density with potential
                                                 !! temperature [kg m-3 degC-1].
  real,    intent(out), dimension(:) :: drho_dS  !< The partial derivative of density with salinity,
                                                 !! in [kg m-3 ppt-1].
  integer, intent(in)                :: start    !< The starting point in the arrays.
  integer, intent(in)                :: npts     !< The number of values to calculate.

  ! Local variables
  real :: zp,zt , zh , zs , zr0, zn , zn0, zn1, zn2, zn3
  integer :: j

  do j=start,start+npts-1
    !Conversions
    zs = s(j) !gsw_sr_from_sp(S(j))       !Convert practical salinity to absolute salinity
    zt = t(j) !gsw_ct_from_pt(S(j),T(j))  !Convert potantial temp to conservative temp
    zp = pressure(j)* pa2db         !Convert pressure from Pascal to decibar

    !The following algorithm was provided by Roquet in a private communication.
    !It is not necessarily the algorithm used in NEMO ocean!
    zp  = zp * r1_p0  ! pressure (first converted to decibar)
    zt  = zt * r1_t0                ! temperature
    zs  = sqrt( abs( zs + rdeltas ) * r1_s0 )   ! square root salinity
    !
    ! alpha
    zn3 = alp003
    !
    zn2 = alp012*zt + alp102*zs+alp002
    !
    zn1 = ((alp031*zt   &
       &   + alp121*zs+alp021)*zt   &
       &   + (alp211*zs+alp111)*zs+alp011)*zt   &
       &   + ((alp301*zs+alp201)*zs+alp101)*zs+alp001
       !
    zn0 = ((((alp050*zt   &
       &   + alp140*zs+alp040)*zt   &
       &   + (alp230*zs+alp130)*zs+alp030)*zt   &
       &   + ((alp320*zs+alp220)*zs+alp120)*zs+alp020)*zt   &
       &   + (((alp410*zs+alp310)*zs+alp210)*zs+alp110)*zs+alp010)*zt   &
       &   + ((((alp500*zs+alp400)*zs+alp300)*zs+alp200)*zs+alp100)*zs+alp000
       !
    zn  = ( ( zn3 * zp + zn2 ) * zp + zn1 ) * zp + zn0
    !
    drho_dt(j) = -zn
    !
    ! beta
    !
    zn3 = bet003
    !
    zn2 = bet012*zt + bet102*zs+bet002
    !
    zn1 = ((bet031*zt   &
       &   + bet121*zs+bet021)*zt   &
       &   + (bet211*zs+bet111)*zs+bet011)*zt   &
       &   + ((bet301*zs+bet201)*zs+bet101)*zs+bet001
       !
    zn0 = ((((bet050*zt   &
       &   + bet140*zs+bet040)*zt   &
       &   + (bet230*zs+bet130)*zs+bet030)*zt   &
       &   + ((bet320*zs+bet220)*zs+bet120)*zs+bet020)*zt   &
       &   + (((bet410*zs+bet310)*zs+bet210)*zs+bet110)*zs+bet010)*zt   &
       &   + ((((bet500*zs+bet400)*zs+bet300)*zs+bet200)*zs+bet100)*zs+bet000
       !
    zn  = ( ( zn3 * zp + zn2 ) * zp + zn1 ) * zp + zn0
    !
    drho_ds(j) = zn / zs
  enddo

calculate_density_derivs_scalar_nemo()

subroutine mom_eos_nemo::calculate_density_derivs_nemo::calculate_density_derivs_scalar_nemo ( real, intent(in)  T, real, intent(in)  S, real, intent(in)  pressure, real, intent(out)  drho_dt, real, intent(out)  drho_ds  )

private

Wrapper to calculate_density_derivs_array for scalar inputs.

Parameters

[in]	t	Potential temperature relative to the surface [degC].
[in]	s	Salinity [g kg-1].
[in]	pressure	Pressure [Pa].
[out]	drho_dt	The partial derivative of density with potential temperature [kg m-3 degC-1].
[out]	drho_ds	The partial derivative of density with salinity, in [kg m-3 ppt-1].

Definition at line 342 of file MOM_EOS_NEMO.F90.

  real,    intent(in)  :: T        !< Potential temperature relative to the surface [degC].
  real,    intent(in)  :: S        !< Salinity [g kg-1].
  real,    intent(in)  :: pressure !< Pressure [Pa].
  real,    intent(out) :: drho_dT  !< The partial derivative of density with potential
                                   !! temperature [kg m-3 degC-1].
  real,    intent(out) :: drho_dS  !< The partial derivative of density with salinity,
                                   !! in [kg m-3 ppt-1].
  ! Local variables
  real :: al0, p0, lambda
  integer :: j
  real, dimension(1) :: T0, S0, pressure0
  real, dimension(1) :: drdt0, drds0

  t0(1) = t
  s0(1) = s
  pressure0(1) = pressure

  call calculate_density_derivs_array_nemo(t0, s0, pressure0, drdt0, drds0, 1, 1)
  drho_dt = drdt0(1)
  drho_ds = drds0(1)

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The documentation for this interface was generated from the following file:

• /home/cermak/src/MOM6.devrob/src/equation_of_state/MOM_EOS_NEMO.F90