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monin_obukhov_mod.F90
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monin_obukhov_mod.F90
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module monin_obukhov_mod
!=======================================================================
!
! MONIN-OBUKHOV MODULE
!
! Routines for computing surface drag coefficients
! from data at the lowest model level
! and for computing the profile of fields
! between the lowest model level and the ground
! using Monin-Obukhov scaling
!
!=======================================================================
use gcm_params_mod, only: gcm_LEN_MBUF, gcm_SQZ_R, gcm_stdMsgUnit
use constants_mod, only : grav, vonkarm
!use fms_mod, only: error_mesg, FATAL, file_exist, &
! check_nml_error, open_namelist_file, &
! mpp_pe, mpp_root_pe, close_file, stdlog, &
! write_version_number
implicit none
private
!=======================================================================
public mo_drag
public mo_profile
public mo_diff
public stable_mix
!=======================================================================
interface mo_drag
module procedure mo_drag_0d, mo_drag_1d, mo_drag_2d
end interface
interface mo_profile
module procedure mo_profile_0d, mo_profile_1d, mo_profile_2d, &
mo_profile_0d_n, mo_profile_1d_n, mo_profile_2d_n
end interface
interface mo_diff
module procedure mo_diff_0d_n, mo_diff_0d_1, &
mo_diff_1d_n, mo_diff_1d_1, &
mo_diff_2d_n, mo_diff_2d_1
end interface
interface stable_mix
module procedure stable_mix_0d, stable_mix_1d, &
stable_mix_2d, stable_mix_3d
end interface
!--------------------- version number ---------------------------------
character(len=128) :: version = '$Id: monin_obukhov_mod.F90,v 1.2 2017/08/11 20:48:51 jmc Exp $'
character(len=128) :: tagname = '$Name: $'
!=======================================================================
! DEFAULT VALUES OF NAMELIST PARAMETERS:
real :: rich_crit = 2.0
real :: drag_min = 1.e-05
logical :: neutral = .false.
integer :: stable_option = 1
real :: zeta_trans = 0.5
namelist /monin_obukhov_nml/ rich_crit, neutral, drag_min, &
stable_option, zeta_trans
!=======================================================================
! MODULE VARIABLES
real, parameter :: small = 1.e-04
real :: b_stab, r_crit, sqrt_drag_min, lambda, rich_trans
logical :: init = .false.
contains
!=======================================================================
subroutine monin_obukhov_init(myThid)
integer, intent(in) :: myThid
integer :: unit, ierr, io
integer :: iUnit
CHARACTER*(gcm_LEN_MBUF) :: msgBuf
!------------------- read namelist input -------------------------------
! read namelist and copy to logfile
! _BARRIER
! _BEGIN_MASTER(myThid)
CALL BARRIER(myThid)
IF ( myThid.EQ.1 ) THEN
WRITE(msgBuf,'(A)') 'MONIN_OBUKHOV_INIT: opening data.atm_gray'
CALL PRINT_MESSAGE( msgBuf, gcm_stdMsgUnit, gcm_SQZ_R, myThid )
CALL OPEN_COPY_DATA_FILE( &
'data.atm_gray', 'MONIN_OBUKHOV_INIT', &
iUnit, &
myThid )
! Read parameters from open data file
READ(UNIT=iUnit,NML=monin_obukhov_nml)
WRITE(msgBuf,'(A)') &
'MONIN_OBUKHOV_INIT: finished reading data.atm_gray'
CALL PRINT_MESSAGE( msgBuf, gcm_stdMsgUnit, gcm_SQZ_R, myThid )
! Close the open data file
#ifdef SINGLE_DISK_IO
CLOSE(iUnit)
#else
CLOSE(iUnit,STATUS='DELETE')
#endif /* SINGLE_DISK_IO */
! if (file_exist('input.nml')) then
! unit = open_namelist_file ()
! ierr=1; do while (ierr /= 0)
! read (unit, nml=monin_obukhov_nml, iostat=io, end=10)
! ierr = check_nml_error(io,'monin_obukhov_nml')
! enddo
! 10 call close_file (unit)
! endif
!---------- output namelist to log-------------------------------------
! call write_version_number(version, tagname)
! if ( mpp_pe() == mpp_root_pe() ) write (stdlog(), nml=monin_obukhov_nml)
!----------------------------------------------------------------------
if(rich_crit.le.0.25) call PRINT_ERROR( &
'MONIN_OBUKHOV_INIT in MONIN_OBUKHOV_MOD'// &
'rich_crit in monin_obukhov_mod must be > 0.25', myThid )
!if(rich_crit.le.0.25) call error_mesg( &
! 'MONIN_OBUKHOV_INIT in MONIN_OBUKHOV_MOD', &
! 'rich_crit in monin_obukhov_mod must be > 0.25', FATAL)
if(drag_min.lt.0.0) call PRINT_ERROR( &
'MONIN_OBUKHOV_INIT in MONIN_OBUKHOV_MOD'// &
'drag_min in monin_obukhov_mod must be >= 0.0', myThid )
!if(drag_min.lt.0.0) call error_mesg( &
! 'MONIN_OBUKHOV_INIT in MONIN_OBUKHOV_MOD', &
! 'drag_min in monin_obukhov_mod must be >= 0.0', FATAL)
if(stable_option < 1 .or. stable_option > 2) call PRINT_ERROR( &
'MONIN_OBUKHOV_INIT in MONIN_OBUKHOV_MOD'// &
'the only allowable values of stable_option are 1 and 2', myThid )
!if(stable_option < 1 .or. stable_option > 2) call error_mesg( &
! 'MONIN_OBUKHOV_INIT in MONIN_OBUKHOV_MOD', &
! 'the only allowable values of stable_option are 1 and 2', FATAL)
if(stable_option == 2 .and. zeta_trans < 0) call PRINT_ERROR( &
'MONIN_OBUKHOV_INIT in MONIN_OBUKHOV_MOD'// &
'zeta_trans must be positive', myThid )
!if(stable_option == 2 .and. zeta_trans < 0) call error_mesg( &
! 'MONIN_OBUKHOV_INIT in MONIN_OBUKHOV_MOD', &
! 'zeta_trans must be positive', FATAL)
b_stab = 1.0/rich_crit
r_crit = 0.95*rich_crit ! convergence can get slow if one is
! close to rich_crit
sqrt_drag_min = 0.0
if(drag_min.ne.0.0) sqrt_drag_min = sqrt(drag_min)
lambda = 1.0 + (5.0 - b_stab)*zeta_trans ! used only if stable_option = 2
rich_trans = zeta_trans/(1.0 + 5.0*zeta_trans) ! used only if stable_option = 2
init = .true.
! _END_MASTER(myThid)
! _BARRIER
ENDIF
CALL BARRIER(myThid)
return
end subroutine monin_obukhov_init
!=======================================================================
subroutine mo_drag_1d &
(pt, pt0, z, z0, zt, zq, speed, drag_m, drag_t, drag_q, &
u_star, b_star, myThid, avail)
real, intent(in) , dimension(:) :: pt, pt0, z, z0, zt, zq, speed
real, intent(inout), dimension(:) :: drag_m, drag_t, drag_q, u_star, b_star
integer, intent(in) :: myThid
logical, intent(in), optional, dimension(:) :: avail
real , dimension(size(pt)) :: rich, fm, ft, fq, zz
logical, dimension(size(pt)) :: mask, mask_1, mask_2
real , dimension(size(pt)) :: delta_b, us, bs, qs
if(.not.init) call monin_obukhov_init(myThid)
mask = .true.
if(present(avail)) mask = avail
where(mask)
delta_b = grav*(pt0 - pt)/pt0
rich = - z*delta_b/(speed*speed + small)
zz = max(z,z0,zt,zq)
else where
rich = 0.0
end where
if(neutral) then
where(mask)
fm = log(zz/z0)
ft = log(zz/zt)
fq = log(zz/zq)
us = vonkarm/fm
bs = vonkarm/ft
qs = vonkarm/fq
drag_m = us*us
drag_t = us*bs
drag_q = us*qs
u_star = us*speed
b_star = bs*delta_b
end where
else
mask_1 = mask .and. rich < r_crit
mask_2 = mask .and. rich >= r_crit
where(mask_2)
drag_m = drag_min
drag_t = drag_min
drag_q = drag_min
us = sqrt_drag_min
bs = sqrt_drag_min
qs = sqrt_drag_min
u_star = us*speed
b_star = bs*delta_b
end where
call solve_zeta (rich, zz, z0, zt, zq, fm, ft, fq, mask_1, myThid)
where (mask_1)
us = max(vonkarm/fm, sqrt_drag_min)
bs = max(vonkarm/ft, sqrt_drag_min)
qs = max(vonkarm/fq, sqrt_drag_min)
drag_m = us*us
drag_t = us*bs
drag_q = us*qs
u_star = us*speed
b_star = bs*delta_b
end where
end if
return
end subroutine mo_drag_1d
!=======================================================================
subroutine mo_profile_1d(zref, zref_t, z, z0, zt, zq, u_star, b_star, q_star, &
del_m, del_t, del_q, myThid, avail)
real, intent(in) :: zref, zref_t
real, intent(in) , dimension(:) :: z, z0, zt, zq, u_star, b_star, q_star
real, intent(out), dimension(:) :: del_m, del_t, del_q
integer, intent(in) :: myThid
logical, intent(in) , optional, dimension(:) :: avail
real, dimension(size(z)) :: zeta, zeta_0, zeta_t, zeta_q, zeta_ref, zeta_ref_t, &
ln_z_z0, ln_z_zt, ln_z_zq, ln_z_zref, ln_z_zref_t, &
f_m_ref, f_m, f_t_ref, f_t, f_q_ref, f_q, &
mo_length_inv
logical, dimension(size(z)) :: mask
if(.not.init) call monin_obukhov_init(myThid)
mask = .true.
if(present(avail)) mask = avail
del_m = 0.0 ! zero output arrays
del_t = 0.0
del_q = 0.0
where(mask)
ln_z_z0 = log(z/z0)
ln_z_zt = log(z/zt)
ln_z_zq = log(z/zq)
ln_z_zref = log(z/zref)
ln_z_zref_t = log(z/zref_t)
endwhere
if(neutral) then
where(mask)
del_m = 1.0 - ln_z_zref /ln_z_z0
del_t = 1.0 - ln_z_zref_t/ln_z_zt
del_q = 1.0 - ln_z_zref_t/ln_z_zq
endwhere
else
where(mask .and. u_star > 0.0)
mo_length_inv = - vonkarm * b_star/(u_star*u_star)
zeta = z *mo_length_inv
zeta_0 = z0 *mo_length_inv
zeta_t = zt *mo_length_inv
zeta_q = zq *mo_length_inv
zeta_ref = zref *mo_length_inv
zeta_ref_t = zref_t*mo_length_inv
endwhere
call mo_integral_m(f_m, zeta, zeta_0, ln_z_z0, mask, myThid)
call mo_integral_m(f_m_ref, zeta, zeta_ref, ln_z_zref, mask, myThid)
call mo_integral_tq(f_t, f_q, zeta, zeta_t, zeta_q, ln_z_zt, ln_z_zq, mask, myThid)
call mo_integral_tq(f_t_ref, f_q_ref, zeta, zeta_ref_t, zeta_ref_t, &
ln_z_zref_t, ln_z_zref_t, mask, myThid)
where(mask)
del_m = 1.0 - f_m_ref/f_m
del_t = 1.0 - f_t_ref/f_t
del_q = 1.0 - f_q_ref/f_q
endwhere
end if
return
end subroutine mo_profile_1d
!=======================================================================
subroutine stable_mix_3d(rich, mix, myThid)
real, intent(in) , dimension(:,:,:) :: rich
real, intent(out), dimension(:,:,:) :: mix
integer, intent(in) :: myThid
real, dimension(size(rich,1),size(rich,2),size(rich,3)) :: &
r, a, b, c, zeta, phi
mix = 0.0
if(stable_option == 1) then
where(rich > 0.0 .and. rich < rich_crit)
r = 1.0/rich
a = r - b_stab
b = r - (1.0 + 5.0)
c = - 1.0
zeta = (-b + sqrt(b*b - 4.0*a*c))/(2.0*a)
phi = 1.0 + b_stab*zeta + (5.0 - b_stab)*zeta/(1.0 + zeta)
mix = 1./(phi*phi)
end where
else if(stable_option == 2) then
where(rich > 0.0 .and. rich <= rich_trans)
mix = (1.0 - 5.0*rich)**2
end where
where(rich > rich_trans .and. rich < rich_crit)
mix = ((1.0 - b_stab*rich)/lambda)**2
end where
end if
return
end subroutine stable_mix_3d
!=======================================================================
subroutine mo_diff_2d_n(z, u_star, b_star, k_m, k_h, myThid)
real, intent(in), dimension(:,:,:) :: z
real, intent(in), dimension(:,:) :: u_star, b_star
real, intent(out), dimension(:,:,:) :: k_m, k_h
integer, intent(in) :: myThid
real , dimension(size(z,1),size(z,2)) :: phi_m, phi_h, zeta, uss
integer :: j, k
INTEGER :: I
logical, dimension(size(z,1)) :: mask
if(.not.init) call monin_obukhov_init(myThid)
mask = .true.
uss = max(u_star, 1.e-10)
if(neutral) then
do k = 1, size(z,3)
k_m(:,:,k) = vonkarm *uss*z(:,:,k)
k_h(:,:,k) = k_m(:,:,k)
end do
else
do k = 1, size(z,3)
zeta = - vonkarm * b_star*z(:,:,k)/(uss*uss)
do j = 1, size(z,2)
call mo_derivative_m(phi_m(:,j), zeta(:,j), mask, myThid)
call mo_derivative_t(phi_h(:,j), zeta(:,j), mask, myThid)
enddo
k_m(:,:,k) = vonkarm * uss*z(:,:,k)/phi_m
k_h(:,:,k) = vonkarm * uss*z(:,:,k)/phi_h
end do
endif
return
end subroutine mo_diff_2d_n
!=======================================================================
! The following routines are used by the public interfaces above
!=======================================================================
subroutine solve_zeta(rich, z, z0, zt, zq, f_m, f_t, f_q, mask, myThid)
real , intent(in) , dimension(:) :: rich, z, z0, zt, zq
logical, intent(in) , dimension(:) :: mask
real , intent(out), dimension(:) :: f_m, f_t, f_q
integer, intent(in) :: myThid
real, parameter :: error = 1.e-04
real, parameter :: zeta_min = 1.e-06
integer, parameter :: max_iter = 20
real :: max_cor
integer :: iter
real, dimension(size(rich)) :: &
d_rich, rich_1, correction, corr, z_z0, z_zt, z_zq, &
ln_z_z0, ln_z_zt, ln_z_zq, zeta, &
phi_m, phi_m_0, phi_t, phi_t_0, rzeta, &
zeta_0, zeta_t, zeta_q, df_m, df_t
logical, dimension(size(rich)) :: mask_1
z_z0 = z/z0
z_zt = z/zt
z_zq = z/zq
ln_z_z0 = log(z_z0)
ln_z_zt = log(z_zt)
ln_z_zq = log(z_zq)
corr = 0.0
mask_1 = mask
! initial guess
where(mask_1)
zeta = rich*ln_z_z0*ln_z_z0/ln_z_zt
else where
zeta = 0.0
end where
where (mask_1 .and. rich >= 0.0)
zeta = zeta/(1.0 - rich/rich_crit)
end where
iter_loop: do iter = 1, max_iter
where (mask_1 .and. abs(zeta).lt.zeta_min)
zeta = 0.0
f_m = ln_z_z0
f_t = ln_z_zt
f_q = ln_z_zq
mask_1 = .false. ! don't do any more calculations at these pts
end where
where (mask_1)
rzeta = 1.0/zeta
zeta_0 = zeta/z_z0
zeta_t = zeta/z_zt
zeta_q = zeta/z_zq
else where
zeta_0 = 0.0
zeta_t = 0.0
zeta_q = 0.0
end where
call mo_derivative_m(phi_m , zeta , mask_1, myThid)
call mo_derivative_m(phi_m_0, zeta_0, mask_1, myThid)
call mo_derivative_t(phi_t , zeta , mask_1, myThid)
call mo_derivative_t(phi_t_0, zeta_t, mask_1, myThid)
call mo_integral_m(f_m, zeta, zeta_0, ln_z_z0, mask_1, myThid)
call mo_integral_tq(f_t, f_q, zeta, zeta_t, zeta_q, ln_z_zt, ln_z_zq, mask_1, myThid)
where (mask_1)
df_m = (phi_m - phi_m_0)*rzeta
df_t = (phi_t - phi_t_0)*rzeta
rich_1 = zeta*f_t/(f_m*f_m)
d_rich = rich_1*( rzeta + df_t/f_t - 2.0 *df_m/f_m)
correction = (rich - rich_1)/d_rich
corr = min(abs(correction),abs(correction/zeta))
! the criterion corr < error seems to work ok, but is a bit arbitrary
! when zeta is small the tolerance is reduced
end where
max_cor= maxval(corr)
if(max_cor > error) then
mask_1 = mask_1 .and. (corr > error)
! change the mask so computation proceeds only on non-converged points
where(mask_1)
zeta = zeta + correction
end where
cycle iter_loop
else
return
end if
end do iter_loop
!call error_mesg ('solve_zeta in monin_obukhov_mod', &
! 'surface drag iteration did not converge', FATAL)
end subroutine solve_zeta
!=======================================================================
subroutine mo_derivative_m(phi_m, zeta, mask, myThid)
! the differential similarity function for momentum
real , intent(out), dimension(:) :: phi_m
real , intent(in), dimension(:) :: zeta
logical , intent(in), dimension(:) :: mask
integer, intent(in) :: myThid
logical, dimension(size(zeta)) :: stable, unstable
real , dimension(size(zeta)) :: x
stable = mask .and. zeta >= 0.0
unstable = mask .and. zeta < 0.0
where (unstable)
x = (1 - 16.0*zeta )**(-0.5)
phi_m = sqrt(x) ! phi_m = (1 - 16.0*zeta)**(-0.25)
end where
if(stable_option == 1) then
where (stable)
phi_m = 1.0 + zeta *(5.0 + b_stab*zeta)/(1.0 + zeta)
end where
else if(stable_option == 2) then
where (stable .and. zeta < zeta_trans)
phi_m = 1 + 5.0*zeta
end where
where (stable .and. zeta >= zeta_trans)
phi_m = lambda + b_stab*zeta
end where
endif
return
end subroutine mo_derivative_m
!=======================================================================
subroutine mo_derivative_t(phi_t, zeta, mask, myThid)
! the differential similarity function for buoyancy and tracers
real , intent(out), dimension(:) :: phi_t
real , intent(in), dimension(:) :: zeta
logical , intent(in), dimension(:) :: mask
integer, intent(in) :: myThid
logical, dimension(size(zeta)) :: stable, unstable
stable = mask .and. zeta >= 0.0
unstable = mask .and. zeta < 0.0
where (unstable)
phi_t = (1 - 16.0*zeta)**(-0.5)
end where
if(stable_option == 1) then
where (stable)
phi_t = 1.0 + zeta*(5.0 + b_stab*zeta)/(1.0 + zeta)
end where
else if(stable_option == 2) then
where (stable .and. zeta < zeta_trans)
phi_t = 1 + 5.0*zeta
end where
where (stable .and. zeta >= zeta_trans)
phi_t = lambda + b_stab*zeta
end where
endif
return
end subroutine mo_derivative_t
!=======================================================================
subroutine mo_integral_tq (psi_t, psi_q, zeta, zeta_t, zeta_q, &
ln_z_zt, ln_z_zq, mask, myThid)
! the integral similarity function for moisture and tracers
real , intent(out), dimension(:) :: psi_t, psi_q
real , intent(in), dimension(:) :: zeta, zeta_t, zeta_q, ln_z_zt, ln_z_zq
logical , intent(in), dimension(:) :: mask
integer, intent(in) :: myThid
real, dimension(size(zeta)) :: x, x_t, x_q
logical, dimension(size(zeta)) :: stable, unstable, &
weakly_stable, strongly_stable
stable = mask .and. zeta >= 0.0
unstable = mask .and. zeta < 0.0
where(unstable)
x = sqrt(1 - 16.0*zeta)
x_t = sqrt(1 - 16.0*zeta_t)
x_q = sqrt(1 - 16.0*zeta_q)
psi_t = ln_z_zt - 2.0*log( (1.0 + x)/(1.0 + x_t) )
psi_q = ln_z_zq - 2.0*log( (1.0 + x)/(1.0 + x_q) )
end where
if( stable_option == 1) then
where (stable)
psi_t = ln_z_zt + (5.0 - b_stab)*log((1.0 + zeta)/(1.0 + zeta_t)) &
+ b_stab*(zeta - zeta_t)
psi_q = ln_z_zq + (5.0 - b_stab)*log((1.0 + zeta)/(1.0 + zeta_q)) &
+ b_stab*(zeta - zeta_q)
end where
else if (stable_option == 2) then
weakly_stable = stable .and. zeta <= zeta_trans
strongly_stable = stable .and. zeta > zeta_trans
where (weakly_stable)
psi_t = ln_z_zt + 5.0*(zeta - zeta_t)
psi_q = ln_z_zq + 5.0*(zeta - zeta_q)
end where
where(strongly_stable)
x = (lambda - 1.0)*log(zeta/zeta_trans) + b_stab*(zeta - zeta_trans)
endwhere
where (strongly_stable .and. zeta_t <= zeta_trans)
psi_t = ln_z_zt + x + 5.0*(zeta_trans - zeta_t)
end where
where (strongly_stable .and. zeta_t > zeta_trans)
psi_t = lambda*ln_z_zt + b_stab*(zeta - zeta_t)
endwhere
where (strongly_stable .and. zeta_q <= zeta_trans)
psi_q = ln_z_zq + x + 5.0*(zeta_trans - zeta_q)
end where
where (strongly_stable .and. zeta_q > zeta_trans)
psi_q = lambda*ln_z_zq + b_stab*(zeta - zeta_q)
endwhere
end if
return
end subroutine mo_integral_tq
!=======================================================================
subroutine mo_integral_m (psi_m, zeta, zeta_0, ln_z_z0, mask, myThid)
! the integral similarity function for momentum
real , intent(out), dimension(:) :: psi_m
real , intent(in), dimension(:) :: zeta, zeta_0, ln_z_z0
logical , intent(in), dimension(:) :: mask
integer, intent(in) :: myThid
real, dimension(size(zeta)) :: x, x_0, x1, x1_0, num, denom, y
logical, dimension(size(zeta)) :: stable, unstable, &
weakly_stable, strongly_stable
stable = mask .and. zeta >= 0.0
unstable = mask .and. zeta < 0.0
where(unstable)
x = sqrt(1 - 16.0*zeta)
x_0 = sqrt(1 - 16.0*zeta_0)
x = sqrt(x)
x_0 = sqrt(x_0)
x1 = 1.0 + x
x1_0 = 1.0 + x_0
num = x1*x1*(1.0 + x*x)
denom = x1_0*x1_0*(1.0 + x_0*x_0)
y = atan(x) - atan(x_0)
psi_m = ln_z_z0 - log(num/denom) + 2*y
end where
if( stable_option == 1) then
where (stable)
psi_m = ln_z_z0 + (5.0 - b_stab)*log((1.0 + zeta)/(1.0 + zeta_0)) &
+ b_stab*(zeta - zeta_0)
end where
else if (stable_option == 2) then
weakly_stable = stable .and. zeta <= zeta_trans
strongly_stable = stable .and. zeta > zeta_trans
where (weakly_stable)
psi_m = ln_z_z0 + 5.0*(zeta - zeta_0)
end where
where(strongly_stable)
x = (lambda - 1.0)*log(zeta/zeta_trans) + b_stab*(zeta - zeta_trans)
endwhere
where (strongly_stable .and. zeta_0 <= zeta_trans)
psi_m = ln_z_z0 + x + 5.0*(zeta_trans - zeta_0)
end where
where (strongly_stable .and. zeta_0 > zeta_trans)
psi_m = lambda*ln_z_z0 + b_stab*(zeta - zeta_0)
endwhere
end if
return
end subroutine mo_integral_m
!=======================================================================
! The following routines allow the public interfaces to be used
! with different dimensions of the input and output
!
!=======================================================================
subroutine mo_drag_2d &
(pt, pt0, z, z0, zt, zq, speed, drag_m, drag_t, drag_q, u_star, b_star, myThid)
real, intent(in) , dimension(:,:) :: z, speed, pt, pt0, z0, zt, zq
real, intent(out) , dimension(:,:) :: drag_m, drag_t, drag_q
real, intent(inout), dimension(:,:) :: u_star, b_star
integer, intent(in) :: myThid
integer :: j
do j = 1, size(pt,2)
call mo_drag_1d (pt(:,j), pt0(:,j), z(:,j), z0(:,j), zt(:,j), zq(:,j), &
speed(:,j), drag_m(:,j), drag_t(:,j), drag_q(:,j), &
u_star(:,j), b_star(:,j), myThid )
end do
return
end subroutine mo_drag_2d
!=======================================================================
subroutine mo_drag_0d &
(pt, pt0, z, z0, zt, zq, speed, drag_m, drag_t, drag_q, u_star, b_star, myThid)
real, intent(in) :: z, speed, pt, pt0, z0, zt, zq
real, intent(out) :: drag_m, drag_t, drag_q, u_star, b_star
real, dimension(1) :: pt_1, pt0_1, z_1, z0_1, zt_1, zq_1, speed_1, &
drag_m_1, drag_t_1, drag_q_1, u_star_1, b_star_1
integer, intent(in):: myThid
pt_1 (1) = pt
pt0_1 (1) = pt0
z_1 (1) = z
z0_1 (1) = z0
zt_1 (1) = zt
zq_1 (1) = zq
speed_1(1) = speed
call mo_drag_1d (pt_1, pt0_1, z_1, z0_1, zt_1, zq_1, speed_1, &
drag_m_1, drag_t_1, drag_q_1, u_star_1, b_star_1, myThid )
drag_m = drag_m_1(1)
drag_t = drag_t_1(1)
drag_q = drag_q_1(1)
u_star = u_star_1(1)
b_star = b_star_1(1)
return
end subroutine mo_drag_0d
!=======================================================================
subroutine mo_profile_2d(zref, zref_t, z, z0, zt, zq, u_star, b_star, q_star, &
del_m, del_h, del_q, myThid)
real, intent(in) :: zref, zref_t
real, intent(in) , dimension(:,:) :: z, z0, zt, zq, u_star, b_star, q_star
real, intent(out), dimension(:,:) :: del_m, del_h, del_q
integer, intent(in) :: myThid
integer :: j
do j = 1, size(z,2)
call mo_profile_1d (zref, zref_t, z(:,j), z0(:,j), zt(:,j), &
zq(:,j), u_star(:,j), b_star(:,j), q_star(:,j), &
del_m(:,j), del_h (:,j), del_q (:,j), myThid )
enddo
return
end subroutine mo_profile_2d
!=======================================================================
subroutine mo_profile_0d(zref, zref_t, z, z0, zt, zq, u_star, b_star, q_star, &
del_m, del_h, del_q, myThid)
real, intent(in) :: zref, zref_t
real, intent(in) :: z, z0, zt, zq, u_star, b_star, q_star
real, intent(out) :: del_m, del_h, del_q
real, dimension(1) :: z_1, z0_1, zt_1, zq_1, u_star_1, b_star_1, q_star_1, &
del_m_1, del_h_1, del_q_1
integer, intent(in):: myThid
z_1 (1) = z
z0_1 (1) = z0
zt_1 (1) = zt
zq_1 (1) = zq
u_star_1(1) = u_star
b_star_1(1) = b_star
q_star_1(1) = q_star
call mo_profile_1d (zref, zref_t, z_1, z0_1, zt_1, zq_1, &
u_star_1, b_star_1, q_star_1, &
del_m_1, del_h_1, del_q_1, myThid )
del_m = del_m_1(1)
del_h = del_h_1(1)
del_q = del_q_1(1)
return
end subroutine mo_profile_0d
!=======================================================================
subroutine mo_profile_1d_n(zref, z, z0, zt, zq, u_star, b_star, q_star, &
del_m, del_t, del_q, myThid, avail)
real, intent(in), dimension(:) :: zref
real, intent(in) , dimension(:) :: z, z0, zt, zq, u_star, b_star, q_star
real, intent(out), dimension(:,:) :: del_m, del_t, del_q
integer, intent(in) :: myThid
logical, intent(in) , optional, dimension(:) :: avail
integer :: k
do k = 1, size(zref)
if(present(avail)) then
call mo_profile_1d (zref(k), zref(k), z, z0, zt, zq, &
u_star, b_star, q_star, del_m(:,k), del_t(:,k), del_q(:,k), myThid, avail)
else
call mo_profile_1d (zref(k), zref(k), z, z0, zt, zq, &
u_star, b_star, q_star, del_m(:,k), del_t(:,k), del_q(:,k), myThid )
endif
enddo
return
end subroutine mo_profile_1d_n
!=======================================================================
subroutine mo_profile_0d_n(zref, z, z0, zt, zq, u_star, b_star, q_star, &
del_m, del_t, del_q, myThid)
real, intent(in), dimension(:) :: zref
real, intent(in) :: z, z0, zt, zq, u_star, b_star, q_star
real, intent(out), dimension(:) :: del_m, del_t, del_q
integer, intent(in) :: myThid
integer :: k
do k = 1, size(zref)
call mo_profile_0d (zref(k), zref(k), z, z0, zt, zq, &
u_star, b_star, q_star, del_m(k), del_t(k), del_q(k), myThid)
enddo
return
end subroutine mo_profile_0d_n
!=======================================================================
subroutine mo_profile_2d_n(zref, z, z0, zt, zq, u_star, b_star, q_star, &
del_m, del_t, del_q, myThid)
real, intent(in), dimension(:) :: zref
real, intent(in), dimension(:,:) :: z, z0, zt, zq, u_star, b_star, q_star
real, intent(out), dimension(:,:,:) :: del_m, del_t, del_q
integer, intent(in) :: myThid
integer :: k
do k = 1, size(zref)
call mo_profile_2d (zref(k), zref(k), z, z0, zt, zq, &
u_star, b_star, q_star, del_m(:,:,k), del_t(:,:,k), del_q(:,:,k), myThid)
enddo
return
end subroutine mo_profile_2d_n
!=======================================================================
subroutine mo_diff_2d_1(z, u_star, b_star, k_m, k_h, myThid)
real, intent(in), dimension(:,:) :: z, u_star, b_star
real, intent(out), dimension(:,:) :: k_m, k_h
real , dimension(size(z,1),size(z,2),1) :: z_n, k_m_n, k_h_n
integer, intent(in) :: myThid
z_n(:,:,1) = z
call mo_diff_2d_n(z_n, u_star, b_star, k_m_n, k_h_n, myThid)
k_m = k_m_n(:,:,1)
k_h = k_h_n(:,:,1)
return
end subroutine mo_diff_2d_1
!=======================================================================
subroutine mo_diff_1d_1(z, u_star, b_star, k_m, k_h, myThid)
real, intent(in), dimension(:) :: z, u_star, b_star
real, intent(out), dimension(:) :: k_m, k_h
real, dimension(size(z),1,1) :: z_n, k_m_n, k_h_n
real, dimension(size(z),1) :: u_star_n, b_star_n
integer, intent(in) :: myThid
z_n (:,1,1) = z
u_star_n(:,1) = u_star
b_star_n(:,1) = b_star
call mo_diff_2d_n(z_n, u_star_n, b_star_n, k_m_n, k_h_n, myThid)
k_m = k_m_n(:,1,1)
k_h = k_h_n(:,1,1)
return
end subroutine mo_diff_1d_1
!=======================================================================
subroutine mo_diff_1d_n(z, u_star, b_star, k_m, k_h, myThid)
real, intent(in), dimension(:,:) :: z
real, intent(in), dimension(:) :: u_star, b_star
real, intent(out), dimension(:,:) :: k_m, k_h
integer, intent(in) :: myThid
real, dimension(size(z,1),1) :: u_star2, b_star2
real, dimension(size(z,1),size(z,2), 1) :: z2, k_m2, k_h2
z2 (:,:,1) = z
u_star2(:,1) = u_star
b_star2(:,1) = b_star
call mo_diff_2d_n(z2, u_star2, b_star2, k_m2, k_h2, myThid)
k_m = k_m2(:,:,1)
k_h = k_h2(:,:,1)
return
end subroutine mo_diff_1d_n
!=======================================================================
subroutine mo_diff_0d_1(z, u_star, b_star, k_m, k_h, myThid)
real, intent(in) :: z, u_star, b_star
real, intent(out) :: k_m, k_h
integer, intent(in):: myThid
real, dimension(1,1,1) :: z_n, k_m_n, k_h_n
real, dimension(1,1) :: u_star_n, b_star_n
z_n (1,1,1) = z
u_star_n(1,1) = u_star
b_star_n(1,1) = b_star