Class saturate_nha1992
In: saturate/saturate_nha1992.f90

Nakajima et al. (1992) ��������蕋遵��罸�羚帥�����

Evaluate saturation specific humidity with Nakajima et al. (1992)

Note that Japanese and English are described in parallel.

Nakajima et al. (1992) �х����������蕋遵���御��� $ p^{*} $ ���≪����篁ヤ���� ������, 蕋遵��罸�羚帥�����渇���罸�羚帥��県綺�小�����ゃ��膊��冴���障��.

Saturation specific humidity and temperature derivative of it are calculated with a folloing formula for saturation watar vapor pressure $ p^{*} $ in Nakajima et al. (1992).

\[ 

   p^{*} (T) = p_0^{*} \exp \left( - \frac{l}{RT} \right).

\]

������, $ T $ ��県綺�, $ R $ ������羂�篏�絎��違�с��. $ R $ �����恰��� $ l $ , 羂頑�御�蕋遵���牙������ $ p_0^{*} $ ��札筝�����������������障��.

where $ T $ is temperature, $ R $ is the gas constant. $ R $ and latent heat $ l $ , constant for the water vapor saturation curve $ p_0^{*} $ are as follows.

  • $ R = 8.314 $ [J mol-1 K-1]
  • $ l = 43655 $ [J mol-1]
  • $ p_0^{*} = 1.4 times 10^{11} $ [Pa]

蕋遵��羂頑�御��с����蕋遵��罸�羚� $ q^{*} $ ��羆�����������, 篁ヤ�����������障��.

Saturation specific humidity $ q^{*} $ is calculated from saturation watar vapor pressure as follows.

\[ 

   q^{*} (T, p) = \varepsilon \frac{p^{*} (T)}{p}

\]

������ $ varepsilon $ ����腟�������ぇ羂�����絖��閴�, $ p $ ����с�с��.

where $ varepsilon $ is molecular weight ratio of water vapor to air, $ p $ is air pressure.

緇��ｃ��, 蕋遵��罸�羚�, 蕋遵��罸�羚帥��県綺������羆�����綣��札筝��������� �����障��.

Therefore, saturation specific humidity and temperature derivative of it are calculated as follows.

\[ 

   q^{*} (T, p) = \varepsilon \frac{p_0^{*}}{p} \exp \left( - \frac{l}{RT} \right), \] \[
   \DP{q^{*} (T, p)}{T} = \varepsilon \frac{p_0^{*}}{p} \frac{l}{RT^2} \exp \left( - \frac{l}{RT} \right)
   = q^{*} \frac{l}{RT^2}

\]

References

  • Nakajima, S., Hayashi, Y.-Y., Abe, Y., 1992: A study on the "runaway greenhouse effect" with a one dimensional radiative convective equilibrium model. J. Atmos. Sci., 49, 2256--2266.

Procedures List

CalcQVapSat :蕋遵��罸�羚帥���膊�
CalcDQVapSatDTemp :蕋遵��罸�羚帥��県綺�小�����膊�
———— :————
CalcQVapSat :Calculate saturation specific humidity
CalcDQVapSatDTemp :Calculate temperature derivative of saturation specific humidity

Methods

LatHeat   P0   SaturateInit   module_name   saturate_nha1992_inited   version   xyz_CalcDQVapSatDTempOnLiq   xyz_CalcDQVapSatDTempOnSol   xyz_CalcQVapSatOnLiq   xyz_CalcQVapSatOnSol  

Included Modules

dc_types dc_message constants0 constants namelist_util dc_iounit dc_string gtool_historyauto

Public Instance methods

SaturateInit( )
Subroutine :

saturate_nha1992 �≪�吾�ャ�若������������茵����障��.

"saturate_nha1992" module is initialized.

[Source]

  subroutine SaturateInit
    !
    ! saturate_nha1992 �≪�吾�ャ�若������������茵����障��. 
    !
    !
    ! "saturate_nha1992" module is initialized. 
    !

    ! �≪�吾�ャ�若����� ; USE statements
    !

    ! NAMELIST ���＜�ゃ���ュ�����≪�������若���ｃ������
    ! Utilities for NAMELIST file input
    !
    use namelist_util, only: namelist_filename, NmlutilMsg

    ! ���＜�ゃ���ュ�阪��茖���
    ! File I/O support
    !
    use dc_iounit, only: FileOpen

    ! 腮��ュ�������＜��
    ! Kind type parameter
    !
    use dc_types, only: STDOUT ! 罔�羣��阪�����臀����. Unit number of standard output

    ! ��絖�����篏�
    ! Character handling
    !
    use dc_string, only: StoA

    ! ���鴻�������若�水�阪��
    ! History data output
    !
    use gtool_historyauto, only: HistoryAutoAddVariable

    ! 絎ｈ��� ; Declaration statements
    !
    implicit none

!!$    integer:: unit_nml        ! NAMELIST ���＜�ゃ�����若���括���臀����. 
!!$                              ! Unit number for NAMELIST file open
!!$    integer:: iostat_nml      ! NAMELIST 茯���粋昭�炊���� IOSTAT. 
!!$                              ! IOSTAT of NAMELIST read

    ! NAMELIST 紊��亥召
    ! NAMELIST group name
    !
!!$    namelist /saturate_nha1992_nml/ 
          !
          ! �����������ゃ���ゃ��������������膓� "saturate_nha1992#SaturateInit" 
          ! ���純�若�鴻�潟�若�������с������. 
          !
          ! Refer to source codes in the initialization procedure
          ! "saturate_nha1992#SaturateInit" for the default values. 
          !

    ! 絎�茵��� ; Executable statement
    !

    if ( saturate_nha1992_inited ) return


    ! �����������ゃ��┃絎�
    ! Default values settings
    !


!!$    ! NAMELIST ����粋昭��
!!$    ! NAMELIST is input
!!$    !
!!$    if ( trim(namelist_filename) /= '' ) then
!!$      call FileOpen( unit_nml, &          ! (out)
!!$        & namelist_filename, mode = 'r' ) ! (in)
!!$
!!$      rewind( unit_nml )
!!$      read( unit_nml, &           ! (in)
!!$        & nml = saturate_nha1992_nml, &  ! (out)
!!$        & iostat = iostat_nml )   ! (out)
!!$      close( unit_nml )
!!$
!!$      call NmlutilMsg( iostat_nml, module_name ) ! (in)
!!$    end if

    ! �医� ; Print
    !
    call MessageNotify( 'M', module_name, '----- Initialization Messages -----' )
    call MessageNotify( 'M', module_name, '-- version = %c', c1 = trim(version) )

    saturate_nha1992_inited = .true.

  end subroutine SaturateInit
saturate_nha1992_inited
Variable :
saturate_nha1992_inited = .false. :logical, save, public
: ����荐���������. Initialization flag
xyz_CalcDQVapSatDTempOnLiq( xyz_Temp, xyz_QVapSat ) result(xyz_DQVapSatDTemp)
Function :
xyz_DQVapSatDTemp(size(xyz_Temp,1), size(xyz_Temp,2), size(xyz_Temp,3)) :real(DP)
: $ DP{q^{*}}{T} $ . 蕋遵��罸�羚帥��県綺�小��. Temperature derivative of saturation specific humidity.
xyz_Temp(:,:,:) :real(DP), intent(in)
: $ T $ . 羝�墾. Temperature
xyz_QVapSat(:,:,:) :real(DP), intent(in)
: $ q^{*} $ . 蕋遵��罸�羚�. Saturation specific humidity

羝�墾 Temp �����罸�羚� QVapSat ������, 蕋遵��罸�羚帥��県綺�小�� DQVapSatDTemp ��羆����障��.

Calculate temperature derivative of saturation specific humidity DQVapSatDTemp using temperature Temp and saturation specific humidity QVapSat.

[Source]

  function xyz_CalcDQVapSatDTempOnLiq( xyz_Temp, xyz_QVapSat ) result( xyz_DQVapSatDTemp )
    !
    ! 羝�墾 *Temp* �����罸�羚� *QVapSat* ������, 
    ! 蕋遵��罸�羚帥��県綺�小�� *DQVapSatDTemp* ��羆����障��. 
    !
    ! Calculate temperature derivative of saturation specific humidity 
    ! *DQVapSatDTemp* using
    ! temperature *Temp* and saturation specific humidity *QVapSat*. 
    !

    ! �≪�吾�ャ�若����� ; USE statements
    !

    ! �����紙�医��絎��域┃絎�
    ! Physical and mathematical constants settings
    !
    use constants0, only: GasRUniv              ! $ R^{*} $ [J K-1 mol-1].
                              ! ����羂�篏�絎���.  Universal gas constant

    ! 絎ｈ��� ; Declaration statements
    !
    implicit none

    real(DP), intent(in):: xyz_Temp   (:,:,:)
                              ! $ T $ . 羝�墾. Temperature
    real(DP), intent(in):: xyz_QVapSat(:,:,:)
                              ! $ q^{*} $ . 蕋遵��罸�羚�. Saturation specific humidity
    real(DP):: xyz_DQVapSatDTemp(size(xyz_Temp,1), size(xyz_Temp,2), size(xyz_Temp,3))
                              ! $ \DP{q^{*}}{T} $ . 蕋遵��罸�羚帥��県綺�小��. 
                              ! Temperature derivative of saturation specific humidity. 

    ! 篏�罐�����
    ! Work variables
    !

    ! 絎�茵��� ; Executable statement
    !

    if ( .not. saturate_nha1992_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if

    ! 蕋遵��罸�羚帥��県綺�小�����膊�
    ! Calculate temperature derivative of saturation specific humidity
    !
    xyz_DQVapSatDTemp = xyz_QVapSat * LatHeat / ( GasRUniv * xyz_Temp**2 )


  end function xyz_CalcDQVapSatDTempOnLiq
xyz_CalcDQVapSatDTempOnSol( xyz_Temp, xyz_QVapSat ) result(xyz_DQVapSatDTemp)
Function :
xyz_DQVapSatDTemp(size(xyz_Temp,1), size(xyz_Temp,2), size(xyz_Temp,3)) :real(DP)
: $ DP{q^{*}}{T} $ . 蕋遵��罸�羚帥��県綺�小��. Temperature derivative of saturation specific humidity.
xyz_Temp(:,:,:) :real(DP), intent(in)
: $ T $ . 羝�墾. Temperature
xyz_QVapSat(:,:,:) :real(DP), intent(in)
: $ q^{*} $ . 蕋遵��罸�羚�. Saturation specific humidity

羝�墾 Temp �����罸�羚� QVapSat ������, 蕋遵��罸�羚帥��県綺�小�� DQVapSatDTemp ��羆����障��.

Calculate temperature derivative of saturation specific humidity DQVapSatDTemp using temperature Temp and saturation specific humidity QVapSat.

[Source]

  function xyz_CalcDQVapSatDTempOnSol( xyz_Temp, xyz_QVapSat ) result( xyz_DQVapSatDTemp )
    !
    ! 羝�墾 *Temp* �����罸�羚� *QVapSat* ������, 
    ! 蕋遵��罸�羚帥��県綺�小�� *DQVapSatDTemp* ��羆����障��. 
    !
    ! Calculate temperature derivative of saturation specific humidity 
    ! *DQVapSatDTemp* using
    ! temperature *Temp* and saturation specific humidity *QVapSat*. 
    !

    ! �≪�吾�ャ�若����� ; USE statements
    !

    ! 絎ｈ��� ; Declaration statements
    !
    implicit none

    real(DP), intent(in):: xyz_Temp   (:,:,:)
                              ! $ T $ . 羝�墾. Temperature
    real(DP), intent(in):: xyz_QVapSat(:,:,:)
                              ! $ q^{*} $ . 蕋遵��罸�羚�. Saturation specific humidity
    real(DP):: xyz_DQVapSatDTemp(size(xyz_Temp,1), size(xyz_Temp,2), size(xyz_Temp,3))
                              ! $ \DP{q^{*}}{T} $ . 蕋遵��罸�羚帥��県綺�小��. 
                              ! Temperature derivative of saturation specific humidity. 

    ! 篏�罐�����
    ! Work variables
    !

    ! 絎�茵��� ; Executable statement
    !

    if ( .not. saturate_nha1992_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if

    ! 蕋遵��罸�羚帥��県綺�小�����膊�
    ! Calculate temperature derivative of saturation specific humidity
    !
    xyz_DQVapSatDTemp = xyz_CalcDQVapSatDTempOnLiq( xyz_Temp, xyz_QVapSat )


  end function xyz_CalcDQVapSatDTempOnSol
xyz_CalcQVapSatOnLiq( xyz_Temp, xyz_Press ) result(xyz_QVapSat)
Function :
xyz_QVapSat(size(xyz_Temp,1), size(xyz_Temp,2), size(xyz_Temp,3)) :real(DP)
: $ q^{*} $ . 蕋遵��罸�羚�. Saturation specific humidity
xyz_Temp(:,:,:) :real(DP), intent(in)
: $ T $ . 羝�墾. Temperature
xyz_Press(:,:,:) :real(DP), intent(in)
: $ p $ . 羂���. Air pressure

羝�墾 Temp ����� Press ������, 蕋遵��罸�羚� QVapSat ��羆����障��.

Calculate saturation specific humidity QVapSat using temperature Temp and air pressure Press.

[Source]

  function xyz_CalcQVapSatOnLiq( xyz_Temp, xyz_Press ) result( xyz_QVapSat )
    !
    ! 羝�墾 *Temp* ����� *Press* ������, 
    ! 蕋遵��罸�羚� *QVapSat* ��羆����障��. 
    !
    ! Calculate saturation specific humidity *QVapSat* using
    ! temperature *Temp* and air pressure *Press*. 
    !

    ! �≪�吾�ャ�若����� ; USE statements
    !

    ! �����紙�医��絎��域┃絎�
    ! Physical and mathematical constants settings
    !
    use constants0, only: GasRUniv              ! $ R^{*} $ [J K-1 mol-1].
                              ! ����羂�篏�絎���.  Universal gas constant

    ! ����絎��域┃絎�
    ! Physical constants settings
    !
    use constants, only: EpsV                  ! $ \epsilon_v $ . 
                              ! 羂頑�御���絖��閴�. 
                              ! Molecular weight of water vapor

    ! 絎ｈ��� ; Declaration statements
    !
    implicit none

    real(DP), intent(in):: xyz_Temp (:,:,:)
                              ! $ T $ . 羝�墾. Temperature
    real(DP), intent(in):: xyz_Press(:,:,:)
                              ! $ p $ . 羂���. Air pressure
    real(DP):: xyz_QVapSat(size(xyz_Temp,1), size(xyz_Temp,2), size(xyz_Temp,3))
                              ! $ q^{*} $ . 蕋遵��罸�羚�. Saturation specific humidity

    ! 篏�罐�����
    ! Work variables
    !

    ! 絎�茵��� ; Executable statement
    !

    if ( .not. saturate_nha1992_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if

    ! 蕋遵��罸�羚帥���膊�
    ! Calculate saturation specific humidity
    !
    xyz_QVapSat = EpsV * ( P0 / xyz_Press ) * exp ( - LatHeat / ( GasRUniv * xyz_Temp ) )


  end function xyz_CalcQVapSatOnLiq
xyz_CalcQVapSatOnSol( xyz_Temp, xyz_Press ) result(xyz_QVapSat)
Function :
xyz_QVapSat(size(xyz_Temp,1), size(xyz_Temp,2), size(xyz_Temp,3)) :real(DP)
: $ q^{*} $ . 蕋遵��罸�羚�. Saturation specific humidity
xyz_Temp(:,:,:) :real(DP), intent(in)
: $ T $ . 羝�墾. Temperature
xyz_Press(:,:,:) :real(DP), intent(in)
: $ p $ . 羂���. Air pressure

羝�墾 Temp ����� Press ������, 蕋遵��罸�羚� QVapSat ��羆����障��.

Calculate saturation specific humidity QVapSat using temperature Temp and air pressure Press.

[Source]

  function xyz_CalcQVapSatOnSol( xyz_Temp, xyz_Press ) result( xyz_QVapSat )
    !
    ! 羝�墾 *Temp* ����� *Press* ������, 
    ! 蕋遵��罸�羚� *QVapSat* ��羆����障��. 
    !
    ! Calculate saturation specific humidity *QVapSat* using
    ! temperature *Temp* and air pressure *Press*. 
    !

    ! �≪�吾�ャ�若����� ; USE statements
    !

    ! 絎ｈ��� ; Declaration statements
    !
    implicit none

    real(DP), intent(in):: xyz_Temp (:,:,:)
                              ! $ T $ . 羝�墾. Temperature
    real(DP), intent(in):: xyz_Press(:,:,:)
                              ! $ p $ . 羂���. Air pressure
    real(DP):: xyz_QVapSat(size(xyz_Temp,1), size(xyz_Temp,2), size(xyz_Temp,3))
                              ! $ q^{*} $ . 蕋遵��罸�羚�. Saturation specific humidity

    ! 篏�罐�����
    ! Work variables
    !

    ! 絎�茵��� ; Executable statement
    !

    if ( .not. saturate_nha1992_inited ) then
      call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
    end if

    ! 蕋遵��罸�羚帥���膊�
    ! Calculate saturation specific humidity
    !
    xyz_QVapSat = xyz_CalcQVapSatOnLiq( xyz_Temp, xyz_Press )


  end function xyz_CalcQVapSatOnSol

Private Instance methods

LatHeat
Constant :
LatHeat = 43655_DP :real(DP), parameter
: $ l $ [J mol-1]. 羂眼����腟������. Latent heat of condensation of water vapor
P0
Constant :
P0 = 1.4e+11_DP :real(DP), parameter
: $ p_0^{*} $ [Pa]. 羂頑�御�蕋遵���牙������. constant for water vapor saturation curve
module_name
Constant :
module_name = ‘saturate_nha1992‘ :character(*), parameter
: �≪�吾�ャ�若������腱�. Module name
version
Constant :
version = ’$Name: $’ // ’$Id: saturate_nha1992.f90,v 1.9 2015/01/29 12:07:16 yot Exp $’ :character(*), parameter
: �≪�吾�ャ�若�������若�吾�с�� Module version