pbldia_new_sfx.f90

module pbldia_new_sfx


implicit none 
real,parameter,private::kappa=0.4,R=287.,appa=0.287

contains

! in this module interpolation is performed using integration of universal functions from z1 to z2, 
! where z1 is measurement or lowest model level height and z2 is required height
! The input-output structure is preserved as much as possible as in the climate model (pbldia subroutine in pblflx)
!C*    DIAGNOSIS OF WIND VELOCITY (AT HEIGHT Z = HWIND),
!C*    OF POTENTIAL TEMPERATURE DEFICIT (BETWEEN HEIGHT Z = HTEMP AND SURFACE),
!C*    OF SPECIFIC HUMIDITY DEFICIT (BETWEEN HEIGHT Z = HTEMP AND SURFACE)
!C*    INPUT DATA USED:
!C*    ARRAY AR2 (OUTPUT FROM DRAG3 - SUBROUTINE)
!C*    AR2(1)    - NON-DIMENSIONAL (NORMALIZED BY MONIN-OBUKHOV LENGTH)
!C*                HEIGHT OF CONSTANT FLUX LAYER TOP
!C*    AR2(8)    - INTEGRAL TRANSFER COEFFICIENT FOR MOMENTUM
!C*    AR2(9)    - INTEGRAL TRANSFER COEFFICIENT FOR TEMPERATURE AND HUMIDITY
!C*    ARRAY ARDIN
!C*    ARDIN(1)  - MODULE OF WIND VELOCITY AT THE TOP OF CONSTANT FLUX LAYER
!C*    ARDIN(2)  - POTENTIAL TEMPERATURE DEFICIT IN CONSTANT FLUX LAYER
!C*    ARDIN(3)  - SPECIFIC HUMIDITY DEFICIT IN CONSTANT FLUX LAYER
!C*    ARDIN(4)  - DIMENSIONAL HEIGHT OF CONSTANT FLUX LAYER TOP
!C*    ARDIN(5)  - = HWIND
!C*    ARDIN(6)  - = HTEMP
!C*    OUTPUT DATA (ARRAY ARDOUT):
!C*    ARDOUT(1)  - MODULE OF WIND VELOCITY AT REQUIRED HEIGHT
!C*    ARDOUT(2)  - deficit of POTENTIAL TEMPERATURE between REQUIRED HEIGHT and the surface
!C*    ARDOUT(3)  - deficit of SPECIFIC HUMIDITY between REQUIRED HEIGHT and the surface
!C*    UFWIND     - UNIVERSAL FUNCTION FOR WIND VELOCITY
!C*    UFTEMP     - UNIVERSAL FUNCTION FOR SCALARS


subroutine pbldia_new_sheba(AR2,ARDIN,ARDOUT)
use sfx_sheba, only: &
                get_psi_sheba => get_psi

      real,intent(in):: AR2(11),ARDIN(6)
      real,intent(out)::ARDOUT(3)
      real,parameter::zetalim = 2. !maximum value of z/L for stable SL
      real psi_m,psi_h,psi_m_hs,psi_h_hs
      real hwind,htemp,ustar,tstar,qstar,&
& ufwind,uftemp,dteta,dq,wind,L,HIN,zeta

      HWIND = ARDIN(5)
      HTEMP = ARDIN(6)
      HIN = ardin(4)
      zeta = AR2(1)

      USTAR = AR2(8) * ARDIN(1)
      TSTAR = AR2(9) * ARDIN(2)
      QSTAR = AR2(9) * ARDIN(3)

     if(zeta.ne.0)then

     if(zeta.gt.zetalim) zeta=zetalim
      L = HIN/zeta

     call get_psi_sheba(psi_m_hs,psi_h_hs,HIN/L)
     call get_psi_sheba(psi_m,psi_h,HWIND/L)
     UFWIND = ALOG(hwind/HIN) - (psi_m - psi_m_hs)
     call get_psi_sheba(psi_m,psi_h,HTEMP/L)
     UFTEMP = ALOG(HTEMP/HIN) - (psi_h - psi_h_hs)

     else

      UFWIND = ALOG(HWIND/HIN)
      UFTEMP = ALOG(HTEMP/HIN) 

     endif

      WIND = (USTAR/kappa) * UFWIND
      DTETA = (TSTAR/kappa) * UFTEMP
      DQ = (QSTAR/kappa) * UFTEMP


      ARDOUT(1) = ARDIN(1)+WIND
      ARDOUT(2) = DTETA+ardin(2)
      ARDOUT(3) = DQ+ardin(3)


      return
  end subroutine pbldia_new_sheba

subroutine pbldia_new_most(AR2,ARDIN,ARDOUT)
use sfx_most, only: &
                get_psi_most => get_psi

      real,intent(in):: AR2(11),ARDIN(6)
      real,intent(out)::ARDOUT(3)
      real,parameter::zetalim = 1. !maximum value of z/L for stable SL
      real psi_m,psi_h,psi_m_hs,psi_h_hs
      real hwind,htemp,ustar,tstar,qstar,&
& ufwind,uftemp,dteta,dq,wind,L,HIN,zeta

      HWIND = ARDIN(5)
      HTEMP = ARDIN(6)
      HIN = ardin(4)
      zeta = AR2(1)

      USTAR = AR2(8) * ARDIN(1)
      TSTAR = AR2(9) * ARDIN(2)
      QSTAR = AR2(9) * ARDIN(3)

     if(zeta.ne.0)then

     if(zeta.gt.zetalim) zeta=zetalim
      L = HIN/zeta

     call get_psi_most(psi_m_hs,psi_h_hs,HIN/L)
     call get_psi_most(psi_m,psi_h,HWIND/L)
     UFWIND = ALOG(hwind/HIN) - (psi_m - psi_m_hs)
     call get_psi_most(psi_m,psi_h,HTEMP/L)
      UFTEMP = ALOG(HTEMP/HIN) - (psi_h - psi_h_hs)

     else

      UFWIND = ALOG(HWIND/HIN)
      UFTEMP = ALOG(HTEMP/HIN) 

     endif

      WIND = (USTAR/kappa) * UFWIND
      DTETA = (TSTAR/kappa) * UFTEMP
      DQ = (QSTAR/kappa) * UFTEMP

      ARDOUT(1) = ARDIN(1)+WIND
      ARDOUT(2) = DTETA+ardin(2)
      ARDOUT(3) = DQ+ardin(3)


      return
  end subroutine pbldia_new_most

subroutine pbldia_new_esm(AR2,ARDIN,ARDOUT)
      real,intent(in):: AR2(11),ARDIN(6)
      real,intent(out)::ARDOUT(3)
      real,parameter::zetalim = 1. !maximum value of z/L for stable SL
      real psi_m,psi_h,psi_m_hs,psi_h_hs
      real hwind,htemp,ustar,tstar,qstar,&
& ufwind,uftemp,dteta,dq,wind,L,HIN,zeta

      HWIND = ARDIN(5)
      HTEMP = ARDIN(6)
      HIN = ardin(4)
      zeta = AR2(1)

      USTAR = AR2(8) * ARDIN(1)
      TSTAR = AR2(9) * ARDIN(2)
      QSTAR = AR2(9) * ARDIN(3)

     if(zeta.ne.0)then

     if(zeta.gt.zetalim) zeta=zetalim
      L = HIN/zeta

     call get_psi_esm1(psi_m,psi_h,HIN,HWIND,L)
     UFWIND = psi_m
     call get_psi_esm1(psi_m,psi_h,HIN,HTEMP,L)
     UFTEMP = psi_h

     else

      UFWIND = ALOG(HWIND/HIN)
      UFTEMP = ALOG(HTEMP/HIN) 

     endif

      WIND = (USTAR/kappa) * UFWIND
      DTETA = (TSTAR/kappa) * UFTEMP
      DQ = (QSTAR/kappa) * UFTEMP

      ARDOUT(1) = ARDIN(1)+WIND
      ARDOUT(2) = DTETA+ardin(2)
      ARDOUT(3) = DQ+ardin(3)


      return
  end subroutine pbldia_new_esm


subroutine get_psi_esm1(psi_m,psi_h,z1,z2,L)

use sfx_esm_param

real, intent(out) :: psi_m, psi_h
real, intent(in) :: z1,z2,L

real an5,d1,gmz1,gtz1,gmz2,gtz2,gmst,gtst,zeta1,zeta2

      an5 = (Pr_t_inf_inv/Pr_t_0_inv)**4
      d1=(2.0E0*alpha_h-an5*alpha_m-sqrt((an5*alpha_m)**2+4.0E0*an5*alpha_h*&
&        (alpha_h-alpha_m)))/(2.0E0*alpha_h**2)


      zeta1 = z1 / L
      zeta2 = z2 / L

      if(zeta2 .ge. 0.) then

      psi_m = alog(z2/z1) + beta_m*(zeta2-zeta1)
      psi_h = alog(z2/z1) + beta_m*(zeta2-zeta1)

      else

      gmz2 = sqrt(sqrt(1.E0 - alpha_m * zeta2))
      gmz1 = sqrt(sqrt(1.E0 - alpha_m * zeta1))
      gmst = sqrt(sqrt(1.E0 - alpha_m * D1))
      gtz2 = sqrt(1.E0 - alpha_h * zeta2)
      gtz1 = sqrt(1.E0 - alpha_h * zeta1)
      gtst = sqrt(1.E0 - alpha_h * D1)

      if(zeta2 .ge. d1) then
      psi_m = fim(gmz2) - fim(gmz1)
      psi_h = fit(gtz2) - fit(gtz1)
      else
      psi_m = (3.E0/gmst) * (1.E0 - (d1/zeta2)**(1.E0/3.E0)) + fim(gmst) - fim(gmz1)
      psi_h = (3.E0/gtst) * (1.E0 - (d1/zeta2)**(1.E0/3.E0)) + fit(gtst) - fit(gtz1)
      endif
      endif

end subroutine get_psi_esm1

! functions fim,fit were copied from the original pbldia
REAL FUNCTION FIM(XX)
  IMPLICIT NONE
  REAL X, XX
  X = AMAX1(XX,1.000001E0)
  FIM = ALOG((X-1.E0)/(X+1.E0)) + 2.E0*ATAN(X)
  RETURN
END function

REAL FUNCTION FIT(XX)
  IMPLICIT NONE
  REAL X, XX
  X = AMAX1(XX,1.000001E0)
  FIT = ALOG((X-1.E0)/(X+1.E0))
  RETURN
END function

end module pbldia_new_sfx