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zlup( ji, jpka ) = mxl_min
zldw( ji, jpka ) = mxl_min
END DO
DO jk = 2,jpka-1
DO ji = 1, jpi
zlup(ji,jk) = ghw_abl(jpka) - ghw_abl(jk)
zldw(ji,jk) = ghw_abl(jk ) - ghw_abl( 1)
END DO
END DO
!!
!! BL89 search for lup
!! ----------------------------------------------------------
DO jk=2,jpka-1
!
DO ji = 1, jpi
zCF(ji,1:jpka) = 0._wp
zCF(ji, jk ) = - tke_abl( ji, jj, jk, nt_a )
ln_foundl(ji ) = .false.
END DO
!
DO jkup=jk+1,jpka-1
DO ji = 1, jpi
zbuoy1 = MAX( zbn2(ji,jj,jkup ), rsmall )
zbuoy2 = MAX( zbn2(ji,jj,jkup-1), rsmall )
zCF (ji,jkup) = zCF (ji,jkup-1) + 0.5_wp * e3t_abl(jkup) * &
& ( zbuoy1*(ghw_abl(jkup )-ghw_abl(jk)) &
& + zbuoy2*(ghw_abl(jkup-1)-ghw_abl(jk)) )
IF( zCF (ji,jkup) * zCF (ji,jkup-1) .le. 0._wp .and. .not. ln_foundl(ji) ) THEN
zcff2 = ghw_abl(jkup ) - ghw_abl(jk)
zcff1 = ghw_abl(jkup-1) - ghw_abl(jk)
zcff = ( zcff1 * zCF(ji,jkup) - zcff2 * zCF(ji,jkup-1) ) / &
& ( zCF(ji,jkup) - zCF(ji,jkup-1) )
zlup(ji,jk) = zcff
zlup(ji,jk) = ghw_abl(jkup ) - ghw_abl(jk)
ln_foundl(ji) = .true.
END IF
END DO
END DO
!
END DO
!!
!! BL89 search for ldwn
!! ----------------------------------------------------------
DO jk=2,jpka-1
!
DO ji = 1, jpi
zCF(ji,1:jpka) = 0._wp
zCF(ji, jk ) = - tke_abl( ji, jj, jk, nt_a )
ln_foundl(ji ) = .false.
END DO
!
DO jkdwn=jk-1,1,-1
DO ji = 1, jpi
zbuoy1 = MAX( zbn2(ji,jj,jkdwn+1), rsmall )
zbuoy2 = MAX( zbn2(ji,jj,jkdwn ), rsmall )
zCF (ji,jkdwn) = zCF (ji,jkdwn+1) + 0.5_wp * e3t_abl(jkdwn+1) &
& * ( zbuoy1*(ghw_abl(jk)-ghw_abl(jkdwn+1)) &
+ zbuoy2*(ghw_abl(jk)-ghw_abl(jkdwn )) )
IF(zCF (ji,jkdwn) * zCF (ji,jkdwn+1) .le. 0._wp .and. .not. ln_foundl(ji) ) THEN
zcff2 = ghw_abl(jk) - ghw_abl(jkdwn+1)
zcff1 = ghw_abl(jk) - ghw_abl(jkdwn )
zcff = ( zcff1 * zCF(ji,jkdwn+1) - zcff2 * zCF(ji,jkdwn) ) / &
& ( zCF(ji,jkdwn+1) - zCF(ji,jkdwn) )
zldw(ji,jk) = zcff
zldw(ji,jk) = ghw_abl(jk) - ghw_abl(jkdwn )
ln_foundl(ji) = .true.
END IF
END DO
END DO
!
END DO
DO jk = 1, jpka
DO ji = 1, jpi
!zcff = 2.*SQRT(2.)*( zldw( ji, jk )**(-2._wp/3._wp) + zlup( ji, jk )**(-2._wp/3._wp) )**(-3._wp/2._wp)
zcff = SQRT( zldw( ji, jk ) * zlup( ji, jk ) )
mxlm_abl( ji, jj, jk ) = MAX( zcff, mxl_min )
mxld_abl( ji, jj, jk ) = MAX( MIN( zldw( ji, jk ), zlup( ji, jk ) ), mxl_min )
END DO
END DO
END DO
# undef zlup
# undef zldw
!
CASE ( 3 ) ! Bougeault & Lacarrere 89 length-scale
!
# define zlup zRH
# define zldw zFC
! zCF is used for matrix inversion
!
DO jj = 1, jpj ! outer loop
!
DO jk = 2, jpkam1
DO ji = 1,jpi
zcff = 1.0_wp / e3w_abl( jk )**2
zdU = zcff* (u_abl( ji, jj, jk+1, tind)-u_abl( ji, jj, jk , tind) )**2
zdV = zcff* (v_abl( ji, jj, jk+1, tind)-v_abl( ji, jj, jk , tind) )**2
zsh2(ji,jk) = SQRT(zdU+zdV) !<-- zsh2 = SQRT ( ( du/dz )^2 + ( dv/dz )^2 )
ENDDO
ENDDO
zsh2(:, 1) = zsh2( :, 2)
zsh2(:, jpka) = zsh2( :, jpkam1)
DO ji = 1, jpi
zcff = zrough(ji,jj) * rn_Lsfc
zlup( ji, 1 ) = zcff
zldw( ji, 1 ) = zcff
zlup( ji, jpka ) = mxl_min
zldw( ji, jpka ) = mxl_min
END DO
DO jk = 2,jpka-1
DO ji = 1, jpi
zlup(ji,jk) = ghw_abl(jpka) - ghw_abl(jk)
zldw(ji,jk) = ghw_abl(jk ) - ghw_abl( 1)
END DO
END DO
!!
!! BL89 search for lup
!! ----------------------------------------------------------
DO jk=2,jpka-1
!
DO ji = 1, jpi
zCF(ji,1:jpka) = 0._wp
zCF(ji, jk ) = - tke_abl( ji, jj, jk, nt_a )
ln_foundl(ji ) = .false.
END DO
!
DO jkup=jk+1,jpka-1
DO ji = 1, jpi
zbuoy1 = MAX( zbn2(ji,jj,jkup ), rsmall )
zbuoy2 = MAX( zbn2(ji,jj,jkup-1), rsmall )
zCF (ji,jkup) = zCF (ji,jkup-1) + 0.5_wp * e3t_abl(jkup) * &
& ( zbuoy1*(ghw_abl(jkup )-ghw_abl(jk)) &
& + zbuoy2*(ghw_abl(jkup-1)-ghw_abl(jk)) ) &
& + 0.5_wp * e3t_abl(jkup) * rn_Rod * &
& ( SQRT(tke_abl( ji, jj, jkup , nt_a ))*zsh2(ji,jkup ) &
& + SQRT(tke_abl( ji, jj, jkup-1, nt_a ))*zsh2(ji,jkup-1) )
IF( zCF (ji,jkup) * zCF (ji,jkup-1) .le. 0._wp .and. .not. ln_foundl(ji) ) THEN
zcff2 = ghw_abl(jkup ) - ghw_abl(jk)
zcff1 = ghw_abl(jkup-1) - ghw_abl(jk)
zcff = ( zcff1 * zCF(ji,jkup) - zcff2 * zCF(ji,jkup-1) ) / &
& ( zCF(ji,jkup) - zCF(ji,jkup-1) )
zlup(ji,jk) = zcff
zlup(ji,jk) = ghw_abl(jkup ) - ghw_abl(jk)
ln_foundl(ji) = .true.
END IF
END DO
END DO
!
END DO
!!
!! BL89 search for ldwn
!! ----------------------------------------------------------
DO jk=2,jpka-1
!
DO ji = 1, jpi
zCF(ji,1:jpka) = 0._wp
zCF(ji, jk ) = - tke_abl( ji, jj, jk, nt_a )
ln_foundl(ji ) = .false.
END DO
!
DO jkdwn=jk-1,1,-1
DO ji = 1, jpi
zbuoy1 = MAX( zbn2(ji,jj,jkdwn+1), rsmall )
zbuoy2 = MAX( zbn2(ji,jj,jkdwn ), rsmall )
zCF (ji,jkdwn) = zCF (ji,jkdwn+1) + 0.5_wp * e3t_abl(jkdwn+1) &
& * (zbuoy1*(ghw_abl(jk)-ghw_abl(jkdwn+1)) &
& +zbuoy2*(ghw_abl(jk)-ghw_abl(jkdwn )) ) &
& + 0.5_wp * e3t_abl(jkup) * rn_Rod * &
& ( SQRT(tke_abl( ji, jj, jkdwn+1, nt_a ))*zsh2(ji,jkdwn+1) &
& + SQRT(tke_abl( ji, jj, jkdwn , nt_a ))*zsh2(ji,jkdwn ) )
IF(zCF (ji,jkdwn) * zCF (ji,jkdwn+1) .le. 0._wp .and. .not. ln_foundl(ji) ) THEN
zcff2 = ghw_abl(jk) - ghw_abl(jkdwn+1)
zcff1 = ghw_abl(jk) - ghw_abl(jkdwn )
zcff = ( zcff1 * zCF(ji,jkdwn+1) - zcff2 * zCF(ji,jkdwn) ) / &
& ( zCF(ji,jkdwn+1) - zCF(ji,jkdwn) )
zldw(ji,jk) = zcff
zldw(ji,jk) = ghw_abl(jk) - ghw_abl(jkdwn )
ln_foundl(ji) = .true.
END IF
END DO
END DO
!
END DO
DO jk = 1, jpka
DO ji = 1, jpi
!zcff = 2.*SQRT(2.)*( zldw( ji, jk )**(-2._wp/3._wp) + zlup( ji, jk )**(-2._wp/3._wp) )**(-3._wp/2._wp)
zcff = SQRT( zldw( ji, jk ) * zlup( ji, jk ) )
mxlm_abl( ji, jj, jk ) = MAX( zcff, mxl_min )
mxld_abl( ji, jj, jk ) = MAX( MIN( zldw( ji, jk ), zlup( ji, jk ) ), mxl_min )
END DO
END DO
END DO
# undef zlup
# undef zldw
!
!
END SELECT
! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
! ! Finalize the computation of turbulent visc./diff.
! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
!-------------
DO jj = 1, jpj ! outer loop
!-------------
DO jk = 1, jpka
DO ji = 1, jpi ! vector opt.
zcff = MAX( rn_phimax, rn_Ric * mxlm_abl( ji, jj, jk ) * mxld_abl( ji, jj, jk ) &
& * MAX( zbn2(ji, jj, jk), rsmall ) / tke_abl( ji, jj, jk, nt_a ) )
zcff2 = 1. / ( 1. + zcff ) !<-- phi_z(z)
zcff = mxlm_abl( ji, jj, jk ) * SQRT( tke_abl( ji, jj, jk, nt_a ) )
!!FL: MAX function probably useless because of the definition of mxl_min
Avm_abl( ji, jj, jk ) = MAX( rn_Cm * zcff , avm_bak )
Avt_abl( ji, jj, jk ) = MAX( rn_Ct * zcff * zcff2 , avt_bak )
END DO
END DO
!-------------
END DO
!-------------
!---------------------------------------------------------------------------------------------------
END SUBROUTINE abl_zdf_tke
!===================================================================================================
!===================================================================================================
SUBROUTINE smooth_pblh( pvar2d, msk )
!---------------------------------------------------------------------------------------------------
!!----------------------------------------------------------------------
!! *** ROUTINE smooth_pblh ***
!!
!! ** Purpose : 2D Hanning filter on atmospheric PBL height
!!
!! ---------------------------------------------------------------------
REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: msk
REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pvar2d
INTEGER :: ji,jj
REAL(wp) :: smth_a, smth_b
REAL(wp), DIMENSION(jpi,jpj) :: zdX,zdY,zFX,zFY
REAL(wp) :: zumsk,zvmsk
!!
!!=========================================================
!!
!! Hanning filter
smth_a = 1._wp / 8._wp
smth_b = 1._wp / 4._wp
!
DO_2D( nn_hls, nn_hls-1, nn_hls, nn_hls )
zumsk = msk(ji,jj) * msk(ji+1,jj)
zdX ( ji, jj ) = ( pvar2d( ji+1,jj ) - pvar2d( ji ,jj ) ) * zumsk
END_2D
DO_2D( nn_hls, nn_hls, nn_hls, nn_hls-1 )
zvmsk = msk(ji,jj) * msk(ji,jj+1)
zdY ( ji, jj ) = ( pvar2d( ji, jj+1 ) - pvar2d( ji ,jj ) ) * zvmsk
END_2D
DO_2D( nn_hls-1, nn_hls-1, nn_hls, nn_hls-1 )
zFY ( ji, jj ) = zdY ( ji, jj ) &
& + smth_a* ( (zdX ( ji, jj+1 ) - zdX( ji-1, jj+1 )) &
& - (zdX ( ji, jj ) - zdX( ji-1, jj )) )
END_2D
DO_2D( nn_hls, nn_hls-1, nn_hls-1, nn_hls-1 )
zFX( ji, jj ) = zdX( ji, jj ) &
& + smth_a*( (zdY( ji+1, jj ) - zdY( ji+1, jj-1)) &
& - (zdY( ji , jj ) - zdY( ji , jj-1)) )
END_2D
DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pvar2d( ji ,jj ) = pvar2d( ji ,jj ) &
& + msk(ji,jj) * smth_b * ( &
& zFX( ji, jj ) - zFX( ji-1, jj ) &
& +zFY( ji, jj ) - zFY( ji, jj-1 ) )
END_2D
!---------------------------------------------------------------------------------------------------
END SUBROUTINE smooth_pblh
!===================================================================================================
!!======================================================================
END MODULE ablmod