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cbl_stempv.F90
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MODULE stempv_mod
USE cbl_ssnow_data_mod
PUBLIC stempv
CONTAINS
! calculates temperatures of the soil
! tgg - new soil/snow temperature
! ga - heat flux from the atmosphere (ground heat flux)
! ccnsw - soil thermal conductivity, including water/ice
SUBROUTINE stempv(dels, canopy, ssnow, soil,heat_cap_lower_limit)
USE cable_common_module, ONLY: cable_user
USE trimb_mod, ONLY: trimb
USE total_soil_conductivity_mod, ONLY: total_soil_conductivity
USE old_soil_conductivity_mod, ONLY: old_soil_conductivity
IMPLICIT NONE
REAL, INTENT(IN) :: dels ! integration time step (s)
TYPE(canopy_type), INTENT(INOUT) :: canopy
TYPE(soil_snow_type), INTENT(INOUT) :: ssnow
TYPE(soil_parameter_type), INTENT(INOUT) :: soil
REAL, DIMENSION(mp) :: &
coefa, coefb, & !
sgamm !
REAL(r_2), DIMENSION(mp) :: &
dtg, & !
ew, & !
xx, & !
wblfsp !
REAL(r_2), DIMENSION(mp,ms) :: &
ccnsw ! soil thermal conductivity (incl water/ice)
REAL(r_2), DIMENSION(mp, -2:ms) :: &
at, bt, ct, rhs !
REAL(r_2), DIMENSION(mp,-2:ms+1) :: coeff
REAL(r_2), DIMENSION(mp,ms+3) :: tmp_mat ! temp. matrix for tggsn & tgg
INTEGER :: j,k
REAL :: exp_arg
LOGICAL :: direct2min = .FALSE.
REAL :: heat_cap_lower_limit(mp,ms)
at = 0.0
bt = 1.0
ct = 0.0
coeff = 0.0
IF (cable_user%soil_thermal_fix) THEN
ccnsw = total_soil_conductivity(ssnow,soil)
ELSE
ccnsw = old_soil_conductivity(ssnow,soil)
ENDIF
xx = 0.
WHERE(ssnow%isflag == 0)
xx = MAX( 0., ssnow%snowd / ssnow%ssdnn )
ccnsw(:,1) = ( ccnsw(:,1) - 0.2 ) * ( soil%zse(1) / ( soil%zse(1) + xx ) &
) + 0.2
END WHERE
DO k = 3, ms
WHERE (ssnow%isflag == 0)
coeff(:,k) = 2.0 / ( soil%zse(k-1) / ccnsw(:,k-1) + soil%zse(k) / &
ccnsw(:,k) )
END WHERE
END DO
k = 1
WHERE( ssnow%isflag == 0 )
coeff(:,2) = 2.0 / ( ( soil%zse(1) + xx ) / ccnsw(:,1) + soil%zse(2) / &
ccnsw(:,2) )
coefa = 0.0
coefb = REAL( coeff(:,2) )
wblfsp = ssnow%wblf(:,k)
xx = heat_cap_lower_limit(:,k)
ssnow%gammzz(:,k) = MAX( heat_cap_lower_limit(:,k), &
( 1.0 - soil%ssat ) * soil%css * soil%rhosoil &
+ soil%ssat * ( wblfsp * Ccswat * Cdensity_liq + &
ssnow%wbfice(:,k) * Ccsice * Cdensity_liq * 0.9 ) ) &
* soil%zse(k)
ssnow%gammzz(:,k) = ssnow%gammzz(:,k) + Ccgsnow * ssnow%snowd
dtg = dels / ssnow%gammzz(:,k)
at(:,k) = - dtg * coeff(:,k)
ct(:,k) = - dtg * coeff(:,k+1) ! c3(ms)=0 & not really used
bt(:,k) = 1.0 - at(:,k) - ct(:,k)
END WHERE
DO k = 2, ms
WHERE( ssnow%isflag == 0 )
wblfsp = ssnow%wblf(:,k)
xx = soil%css * soil%rhosoil
ssnow%gammzz(:,k) = MAX( REAL(heat_cap_lower_limit(:,k)), &
( 1.0 - soil%ssat ) * soil%css * soil%rhosoil &
+ soil%ssat * ( wblfsp * Ccswat * Cdensity_liq + &
ssnow%wbfice(:,k) * Ccsice * Cdensity_liq * 0.9 ) ) &
* soil%zse(k)
dtg = dels / ssnow%gammzz(:,k)
at(:,k) = - dtg * coeff(:,k)
ct(:,k) = - dtg * coeff(:,k+1) ! c3(ms)=0 & not really used
bt(:,k) = 1.0 - at(:,k) - ct(:,k)
END WHERE
END DO
WHERE( ssnow%isflag == 0 )
bt(:,1) = bt(:,1) - canopy%dgdtg * dels / ssnow%gammzz(:,1)
ssnow%tgg(:,1) = ssnow%tgg(:,1) + ( canopy%ga - ssnow%tgg(:,1) &
* REAL( canopy%dgdtg ) ) * dels / REAL( ssnow%gammzz(:,1) )
END WHERE
coeff(:,1-3) = 0.0 ! coeff(:,-2)
! 3-layer snow points done here
WHERE( ssnow%isflag /= 0 )
ssnow%sconds(:,1) = MAX( 0.2, MIN( 2.876e-6 * ssnow%ssdn(:,1)**2 &
+ 0.074, max_sconds ) )
ssnow%sconds(:,2) = MAX(0.2, MIN(2.876e-6 * ssnow%ssdn(:,2)**2 &
& + 0.074, max_sconds) )
ssnow%sconds(:,3) = MAX(0.2, MIN(2.876e-6 * ssnow%ssdn(:,3)**2 &
& + 0.074, max_sconds) )
coeff(:,-1) = 2.0 / (ssnow%sdepth(:,1) / ssnow%sconds(:,1) &
& + ssnow%sdepth(:,2) / ssnow%sconds(:,2) )
coeff(:,0) = 2.0 / (ssnow%sdepth(:,2) / ssnow%sconds(:,2) &
& + ssnow%sdepth(:,3) / ssnow%sconds(:,3) )
coeff(:,1) = 2.0 / (ssnow%sdepth(:,3) / ssnow%sconds(:,3) &
& + soil%zse(1) / ccnsw (:,1) )
END WHERE
DO k = 2, ms
WHERE( ssnow%isflag /= 0 ) &
coeff(:,k) = 2.0 / ( soil%zse(k-1) / ccnsw(:,k-1) + soil%zse(k) / &
ccnsw(:,k) )
END DO
WHERE( ssnow%isflag /= 0 )
coefa = REAL( coeff (:,-1) )
coefb = REAL( coeff (:,1) )
END WHERE
DO k = 1, 3
WHERE( ssnow%isflag /= 0 )
sgamm = ssnow%ssdn(:,k) * Ccgsnow * ssnow%sdepth(:,k)
dtg = dels / sgamm
at(:,k-3) = - dtg * coeff(:,k-3)
ct(:,k-3) = - dtg * coeff(:,k-2)
bt(:,k-3) = 1.0 - at(:,k-3) - ct(:,k-3)
END WHERE
END DO
DO k = 1, ms
WHERE( ssnow%isflag /= 0 )
wblfsp = ssnow%wblf(:,k)
xx = soil%css * soil%rhosoil
ssnow%gammzz(:,k) = MAX( ( 1.0 - soil%ssat ) * soil%css * &
soil%rhosoil + soil%ssat * ( wblfsp * Ccswat * &
Cdensity_liq + ssnow%wbfice(:,k) * Ccsice * Cdensity_liq * &
0.9) , &
heat_cap_lower_limit(:,k) ) * soil%zse(k)
dtg = dels / ssnow%gammzz(:,k)
at(:,k) = - dtg * coeff(:,k)
ct(:,k) = - dtg * coeff(:,k + 1) ! c3(ms)=0 & not really used
bt(:,k) = 1.0 - at(:,k) - ct(:,k)
END WHERE
END DO
WHERE( ssnow%isflag /= 0 )
sgamm = ssnow%ssdn(:,1) * Ccgsnow * ssnow%sdepth(:,1)
bt(:,-2) = bt(:,-2) - canopy%dgdtg * dels / sgamm
ssnow%tggsn(:,1) = ssnow%tggsn(:,1) + ( canopy%ga - ssnow%tggsn(:,1 ) &
* REAL( canopy%dgdtg ) ) * dels / sgamm
rhs(:,1-3) = ssnow%tggsn(:,1)
END WHERE
! note in the following that tgg and tggsn are processed together
tmp_mat(:,1:3) = REAL(ssnow%tggsn,r_2)
tmp_mat(:,4:(ms+3)) = REAL(ssnow%tgg,r_2)
CALL trimb( at, bt, ct, tmp_mat, ms + 3 )
ssnow%tggsn = REAL( tmp_mat(:,1:3) )
ssnow%tgg = REAL( tmp_mat(:,4:(ms+3)) )
canopy%sghflux = coefa * ( ssnow%tggsn(:,1) - ssnow%tggsn(:,2) )
canopy%ghflux = coefb * ( ssnow%tgg(:,1) - ssnow%tgg(:,2) ) ! +ve downwards
END SUBROUTINE stempv
END MODULE stempv_mod