[4009] | 1 | MODULE calcratqs_multi_mod |
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| 2 | |
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| 3 | !============================================= |
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| 4 | ! module containing subroutines that take |
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| 5 | ! into account the effect of convection, orography, |
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| 6 | ! surface heterogeneities and subgrid-scale |
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| 7 | ! turbulence on ratqs, i.e. on the width of the |
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| 8 | ! total water subgrid distribution. |
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| 9 | !============================================= |
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| 10 | |
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| 11 | IMPLICIT NONE |
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| 12 | |
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| 13 | ! Include |
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| 14 | !============================================= |
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| 15 | INCLUDE "YOETHF.h" |
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| 16 | INCLUDE "YOMCST.h" |
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| 17 | |
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| 18 | |
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| 19 | CONTAINS |
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| 20 | |
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| 21 | |
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| 22 | !======================================================================== |
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| 23 | SUBROUTINE calcratqs_inter(klon,klev,iflag_ratqs,pdtphys, & |
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| 24 | ratqsbas, wake_deltaq, wake_s, q_seri,qtc_cv, sigt_cv, & |
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| 25 | ratqs_inter) |
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| 26 | USE ioipsl_getin_p_mod, ONLY : getin_p |
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| 27 | implicit none |
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| 28 | |
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| 29 | !======================================================================== |
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| 30 | ! L. d'Alençon, 25/02/2021 |
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| 31 | ! Cette subroutine calcule une valeur de ratqsbas interactive dépendant de la présence de poches froides dans l'environnement. |
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| 32 | ! Elle est appelée par la subroutine calcratqs lorsque iflag_ratqs = 10. |
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| 33 | !======================================================================== |
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| 34 | |
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| 35 | ! Declarations |
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| 36 | |
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| 37 | |
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| 38 | LOGICAL, SAVE :: first = .TRUE. |
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| 39 | !$OMP THREADPRIVATE(first) |
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| 40 | ! Input |
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| 41 | integer,intent(in) :: klon,klev,iflag_ratqs |
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| 42 | real,intent(in) :: pdtphys,ratqsbas |
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| 43 | real, dimension(klon,klev),intent(in) :: wake_deltaq, q_seri,qtc_cv, sigt_cv |
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| 44 | real, dimension(klon),intent(in) :: wake_s |
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| 45 | |
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| 46 | ! Output |
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| 47 | real, dimension(klon,klev),intent(inout) :: ratqs_inter |
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| 48 | |
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| 49 | ! local |
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| 50 | integer i,k |
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| 51 | real, dimension(klon,klev) :: wake_dq |
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| 52 | REAL, SAVE :: a_ratqs_cv |
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[4010] | 53 | !$OMP THREADPRIVATE(a_ratqs_cv) |
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[4009] | 54 | REAL, SAVE :: tau_ratqs_wake |
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| 55 | !$OMP THREADPRIVATE(tau_ratqs_wake) |
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| 56 | REAL, SAVE :: a_ratqs_wake |
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| 57 | !$OMP THREADPRIVATE(a_ratqs_wake) |
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| 58 | real, dimension(klon) :: max_wake_dq, max_dqconv,max_sigt |
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| 59 | !------------------------------------------------------------------------- |
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| 60 | ! Caclul de ratqs_inter |
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| 61 | !------------------------------------------------------------------------- |
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| 62 | |
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| 63 | ! |
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| 64 | if (first) then |
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| 65 | tau_ratqs_wake = 3600. ! temps de relaxation de la variabilité |
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| 66 | a_ratqs_wake = 3. ! paramètre pilotant l'importance du terme dépendant des poches froides |
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| 67 | a_ratqs_cv = 0.5 |
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| 68 | CALL getin_p('tau_ratqs_wake', tau_ratqs_wake) |
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| 69 | CALL getin_p('a_ratqs_wake', a_ratqs_wake) |
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| 70 | CALL getin_p('a_ratqs_cv', a_ratqs_cv) |
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| 71 | first=.false. |
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| 72 | endif |
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| 73 | max_wake_dq(:) = 0. |
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| 74 | max_dqconv (:) = 0 |
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| 75 | max_sigt(:) = 0. |
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| 76 | if (iflag_ratqs.eq.10) then |
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| 77 | do k=1,klev |
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| 78 | do i=1,klon |
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| 79 | max_wake_dq(i) = max(abs(wake_deltaq(i,k)),max_wake_dq(i)) |
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| 80 | max_sigt(i) = max(abs(sigt_cv(i,k)),max_sigt(i)) |
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| 81 | max_dqconv(i) = max(abs(q_seri(i,k) - qtc_cv(i,k)),max_dqconv(i)) |
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| 82 | enddo |
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| 83 | enddo |
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| 84 | |
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| 85 | do k=1,klev |
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| 86 | do i=1,klon |
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| 87 | ratqs_inter(i,k)= ratqs_inter(i,k)*exp(-pdtphys/tau_ratqs_wake) + & |
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| 88 | a_ratqs_wake*(max_wake_dq(i)*(wake_s(i)**0.5/(1.-wake_s(i))))*(1.-exp(-pdtphys/tau_ratqs_wake))/q_seri(i,1) |
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| 89 | if (ratqs_inter(i,k)<ratqsbas) then |
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| 90 | ratqs_inter(i,k) = ratqsbas |
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| 91 | endif |
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| 92 | enddo |
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| 93 | enddo |
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| 94 | endif |
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| 95 | |
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| 96 | if (iflag_ratqs.eq.11) then |
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| 97 | do k=1,klev |
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| 98 | do i=1,klon |
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| 99 | max_wake_dq(i) = max(abs(wake_deltaq(i,k)),max_wake_dq(i)) |
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| 100 | max_sigt(i) = max(abs(sigt_cv(i,k)),max_sigt(i)) |
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| 101 | max_dqconv(i) = max(abs(q_seri(i,k) - qtc_cv(i,k)),max_dqconv(i)) |
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| 102 | enddo |
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| 103 | enddo |
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| 104 | |
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| 105 | do k=1,klev |
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| 106 | do i=1,klon |
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| 107 | ratqs_inter(i,k)= ratqs_inter(i,k)*exp(-pdtphys/tau_ratqs_wake) + & |
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| 108 | a_ratqs_wake*(max_wake_dq(i)*(wake_s(i)**0.5/(1.-wake_s(i))))*(1.-exp(-pdtphys/tau_ratqs_wake))/q_seri(i,1) + & |
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| 109 | a_ratqs_cv*max_dqconv(i)*max_sigt(i)*(1.-exp(-pdtphys/tau_ratqs_wake))/q_seri(i,1) |
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| 110 | ! if (ratqs_inter(i,k)>0) then |
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| 111 | ! ratqs_inter(i,k) = abs(q_seri(i,k) - qtc_cv(i,k)) |
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| 112 | ! endif |
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| 113 | enddo |
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| 114 | enddo |
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| 115 | endif |
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| 116 | return |
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| 117 | end |
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| 118 | |
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| 119 | |
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| 120 | !------------------------------------------------------------------ |
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| 121 | SUBROUTINE calcratqs_oro(klon,klev,qsat,temp,pplay,paprs,ratqs_oro) |
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| 122 | |
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| 123 | ! Etienne Vignon, November 2021: effect of subgrid orography on ratqs |
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| 124 | |
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| 125 | USE phys_state_var_mod, ONLY: zstd |
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| 126 | USE phys_state_var_mod, ONLY: pctsrf |
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| 127 | USE indice_sol_mod, only: nbsrf, is_lic, is_ter |
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| 128 | |
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| 129 | IMPLICIT NONE |
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| 130 | |
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| 131 | ! Declarations |
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| 132 | !-------------- |
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| 133 | |
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| 134 | ! INPUTS |
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| 135 | |
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| 136 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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| 137 | INTEGER, INTENT(IN) :: klev ! number of vertical layers |
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| 138 | REAL, DIMENSION(klon,klev), INTENT(IN) :: qsat ! saturation specific humidity [kg/kg] |
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| 139 | REAL, DIMENSION(klon,klev), INTENT(IN) :: temp ! air temperature [K] |
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| 140 | REAL, DIMENSION(klon,klev), INTENT(IN) :: pplay ! air pressure, layer's center [Pa] |
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| 141 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: paprs ! air pressure, lower inteface [Pa] |
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| 142 | |
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| 143 | ! OUTPUTS |
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| 144 | |
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| 145 | REAL, DIMENSION(klon,klev), INTENT(out) :: ratqs_oro ! ratqs profile due to subgrid orography |
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| 146 | |
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| 147 | |
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| 148 | ! LOCAL |
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| 149 | |
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| 150 | INTEGER :: i,k |
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| 151 | REAL, DIMENSION(klon) :: orogradT,xsi0 |
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| 152 | REAL, DIMENSION (klon,klev) :: zlay |
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| 153 | REAL :: Lvs, temp0 |
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| 154 | |
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| 155 | |
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| 156 | ! Calculation of the near-surface temperature gradient along the topography |
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| 157 | !-------------------------------------------------------------------------- |
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| 158 | |
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| 159 | ! at the moment, we fix it at a constant value (moist adiab. lapse rate) |
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| 160 | |
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| 161 | orogradT(:)=-6.5/1000. ! K/m |
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| 162 | |
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| 163 | ! Calculation of near-surface surface ratqs |
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| 164 | !------------------------------------------- |
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| 165 | |
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| 166 | DO i=1,klon |
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| 167 | temp0=temp(i,1) |
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| 168 | IF (temp0 .LT. RTT) THEN |
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| 169 | Lvs=RLSTT |
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| 170 | ELSE |
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| 171 | Lvs=RLVTT |
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| 172 | ENDIF |
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| 173 | xsi0(i)=zstd(i)*ABS(orogradT(i))*Lvs/temp0/temp0/RV |
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| 174 | ratqs_oro(i,1)=xsi0(i) |
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| 175 | END DO |
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| 176 | |
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| 177 | ! Vertical profile of ratqs assuming an exponential decrease with height |
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| 178 | !------------------------------------------------------------------------ |
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| 179 | |
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| 180 | ! calculation of geop. height AGL |
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| 181 | zlay(:,1)= RD*temp(:,1)/(0.5*(paprs(:,1)+pplay(:,1))) & |
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| 182 | *(paprs(:,1)-pplay(:,1))/RG |
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| 183 | |
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| 184 | DO k=2,klev |
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| 185 | DO i = 1, klon |
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| 186 | zlay(i,k)= zlay(i,k-1)+RD*0.5*(temp(i,k-1)+temp(i,k)) & |
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| 187 | /paprs(i,k)*(pplay(i,k-1)-pplay(i,k))/RG |
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| 188 | |
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| 189 | ratqs_oro(i,k)=MAX(0.0,pctsrf(i,is_ter)*xsi0(i)*exp(-zlay(i,k)/MAX(zstd(i),1.))) |
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| 190 | END DO |
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| 191 | END DO |
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| 192 | |
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| 193 | |
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| 194 | |
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| 195 | |
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| 196 | END SUBROUTINE calcratqs_oro |
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| 197 | |
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| 198 | !============================================= |
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| 199 | |
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| 200 | SUBROUTINE calcratqs_hetero(klon,klev,t2m,q2m,temp,q,pplay,paprs,ratqs_hetero) |
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| 201 | |
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| 202 | ! Etienne Vignon, November 2021 |
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| 203 | ! Effect of subgrid surface heterogeneities on ratqs |
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| 204 | |
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| 205 | USE phys_local_var_mod, ONLY: s_pblh |
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| 206 | USE phys_state_var_mod, ONLY: pctsrf |
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| 207 | USE indice_sol_mod |
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| 208 | USE lscp_tools_mod, ONLY: CALC_QSAT_ECMWF |
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| 209 | |
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| 210 | IMPLICIT NONE |
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| 211 | |
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| 212 | include "YOMCST.h" |
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| 213 | |
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| 214 | ! INPUTS |
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| 215 | |
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| 216 | |
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| 217 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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| 218 | INTEGER, INTENT(IN) :: klev ! number of vertical layers |
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| 219 | REAL, DIMENSION(klon,nbsrf), INTENT(IN) :: t2m ! 2m temperature for each tile [K] |
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| 220 | REAL, DIMENSION(klon,nbsrf), INTENT(IN) :: q2m ! 2m specific humidity for each tile [kg/kg] |
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| 221 | REAL, DIMENSION(klon,klev), INTENT(IN) :: temp ! air temperature [K] |
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| 222 | REAL, DIMENSION(klon,klev), INTENT(IN) :: q ! specific humidity [kg/kg] |
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| 223 | REAL, DIMENSION(klon,klev), INTENT(IN) :: pplay ! air pressure, layer's center [Pa] |
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| 224 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: paprs ! air pressure, lower inteface [Pa] |
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| 225 | |
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| 226 | ! OUTPUTS |
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| 227 | |
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| 228 | REAL, DIMENSION(klon,klev), INTENT(out) :: ratqs_hetero ! ratsq profile due to surface heterogeneities |
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| 229 | |
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| 230 | |
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| 231 | INTEGER :: i,k,nsrf |
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[4072] | 232 | REAL, DIMENSION(klon) :: xsi0, ratiom, qsat2m, dqsatdT |
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[4009] | 233 | REAL, DIMENSION (klon,klev) :: zlay |
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| 234 | |
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| 235 | |
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| 236 | |
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| 237 | ! Calculation of near-surface surface ratqs |
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| 238 | !------------------------------------------- |
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| 239 | |
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| 240 | |
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[4072] | 241 | ratiom(:)=0. |
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| 242 | xsi0(:)=0. |
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[4009] | 243 | |
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| 244 | DO nsrf=1,nbsrf |
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[4072] | 245 | CALL CALC_QSAT_ECMWF(klon,t2m(:,nsrf),q2m(:,nsrf),paprs(:,1),RTT,0,.false.,qsat2m,dqsatdT) |
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| 246 | ratiom(:)=ratiom(:)+pctsrf(:,nsrf)*(q2m(:,nsrf)/qsat2m(:)) |
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| 247 | xsi0(:)=xsi0(:)+pctsrf(:,nsrf)*((q2m(:,nsrf)/qsat2m(:)-ratiom(:))**2) |
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[4009] | 248 | END DO |
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| 249 | |
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[4072] | 250 | xsi0(:)=sqrt(xsi0(:))/(ratiom(:)+1E-6) |
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[4009] | 251 | |
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| 252 | |
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| 253 | |
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| 254 | ! Vertical profile of ratqs assuming an exponential decrease with height |
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| 255 | !------------------------------------------------------------------------ |
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| 256 | |
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| 257 | ! calculation of geop. height AGL |
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| 258 | |
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| 259 | zlay(:,1)= RD*temp(:,1)/(0.5*(paprs(:,1)+pplay(:,1))) & |
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| 260 | *(paprs(:,1)-pplay(:,1))/RG |
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| 261 | ratqs_hetero(:,1)=xsi0(:) |
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| 262 | |
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| 263 | DO k=2,klev |
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| 264 | DO i = 1, klon |
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| 265 | zlay(i,k)= zlay(i,k-1)+RD*0.5*(temp(i,k-1)+temp(i,k)) & |
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| 266 | /paprs(i,k)*(pplay(i,k-1)-pplay(i,k))/RG |
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| 267 | |
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| 268 | ratqs_hetero(i,k)=MAX(xsi0(i)*exp(-zlay(i,k)/(s_pblh(i)+1.0)),0.0) |
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| 269 | END DO |
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| 270 | END DO |
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| 271 | |
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| 272 | END SUBROUTINE calcratqs_hetero |
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| 273 | |
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| 274 | !============================================= |
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| 275 | |
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| 276 | SUBROUTINE calcratqs_tke(klon,klev,pdtphys,temp,q,qsat,pplay,paprs,tke,tke_dissip,lmix,wprime,ratqs_tke) |
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| 277 | |
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| 278 | ! References: |
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| 279 | ! |
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| 280 | ! Etienne Vignon: effect of subgrid turbulence on ratqs |
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| 281 | ! |
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| 282 | ! Field, P.R., Hill, A., Furtado, K., Korolev, A., 2014b. Mixed-phase clouds in a turbulent environment. Part |
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| 283 | ! 2: analytic treatment. Q. J. R. Meteorol. Soc. 21, 2651–2663. https://doi.org/10.1002/qj.2175. |
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| 284 | ! |
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| 285 | ! Furtado, K., Field, P.R., Boutle, I.A., Morcrette, C.R., Wilkinson, J., 2016. A physically-based, subgrid |
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| 286 | ! parametrization for the production and maintenance of mixed-phase clouds in a general circulation |
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| 287 | ! model. J. Atmos. Sci. 73, 279–291. https://doi.org/10.1175/JAS-D-15-0021. |
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| 288 | |
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| 289 | USE phys_local_var_mod, ONLY: omega |
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| 290 | |
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| 291 | IMPLICIT NONE |
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| 292 | |
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| 293 | ! INPUTS |
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| 294 | |
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| 295 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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| 296 | INTEGER, INTENT(IN) :: klev ! number of vertical layers |
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| 297 | REAL, INTENT(IN) :: pdtphys ! physics time step [s] |
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| 298 | REAL, DIMENSION(klon,klev), INTENT(IN) :: temp ! air temperature [K] |
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| 299 | REAL, DIMENSION(klon,klev), INTENT(IN) :: q ! specific humidity [kg/kg] |
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| 300 | REAL, DIMENSION(klon,klev), INTENT(IN) :: qsat ! saturation specific humidity [kg/kg] |
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| 301 | REAL, DIMENSION(klon,klev), INTENT(IN) :: pplay ! air pressure, layer's center [Pa] |
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| 302 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: paprs ! air pressure, lower inteface [Pa] |
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| 303 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: tke ! Turbulent Kinetic Energy [m2/s2] |
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| 304 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: tke_dissip ! Turbulent Kinetic Energy Dissipation rate [m2/s3] |
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| 305 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: lmix ! Turbulent mixing length |
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| 306 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: wprime ! Turbulent vertical velocity scale [m/s] |
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| 307 | |
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| 308 | ! OUTPUTS |
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| 309 | |
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| 310 | REAL, DIMENSION(klon,klev), INTENT(out) :: ratqs_tke ! ratsq profile due to subgrid TKE |
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| 311 | |
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| 312 | ! LOCAL |
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| 313 | INTEGER :: i, k |
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| 314 | REAL :: AA, DD, NW, AAprime, VARLOG,rho,Lvs,taue,lhomo,dissmin,maxvarlog |
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| 315 | REAL, DIMENSION(klon,klev) :: sigmaw,w |
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| 316 | REAL, PARAMETER :: C0=10.0 |
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| 317 | REAL, PARAMETER :: lmin=0.001 |
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| 318 | REAL, PARAMETER :: ratqsmin=1E-6 |
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| 319 | REAL, PARAMETER :: ratqsmax=0.5 |
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| 320 | |
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| 321 | |
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| 322 | ! Calculation of large scale and turbulent vertical velocities |
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| 323 | !--------------------------------------------------------------- |
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| 324 | |
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| 325 | DO k=1,klev |
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| 326 | DO i=1,klon |
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| 327 | rho=pplay(i,k)/temp(i,k)/RD |
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| 328 | w(i,k)=-rho*RG*omega(i,k) |
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| 329 | sigmaw(i,k)=0.5*(wprime(i,k+1)+wprime(i,k)) ! turbulent vertical velocity at the middle of model layers. |
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| 330 | END DO |
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| 331 | END DO |
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| 332 | |
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| 333 | ! Calculation of ratqs |
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| 334 | !--------------------------------------------------------------- |
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| 335 | ratqs_tke(:,1)=ratqsmin ! set to a very low value to avoid division by 0 in order parts |
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| 336 | ! of the code |
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| 337 | DO k=2,klev ! we start from second model level since TKE is not defined at k=1 |
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| 338 | DO i=1,klon |
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| 339 | |
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| 340 | IF (temp(i,k) .LT. RTT) THEN |
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| 341 | Lvs=RLSTT |
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| 342 | ELSE |
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| 343 | Lvs=RLVTT |
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| 344 | ENDIF |
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| 345 | dissmin=0.01*(0.5*(tke(i,k)+tke(i,k+1))/pdtphys) |
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| 346 | maxvarlog=LOG(1.0+ratqsmax**2)! to prevent ratqs from exceeding an arbitrary threshold value |
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| 347 | AA=RG*(Lvs/(RCPD*temp(i,k)*temp(i,k)*RV) - 1./(RD*temp(i,k))) |
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| 348 | lhomo=MAX(0.5*(lmix(i,k)+lmix(i,k+1)),lmin) |
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| 349 | taue=(lhomo*lhomo/MAX(0.5*(tke_dissip(i,k)+tke_dissip(i,k+1)),dissmin))**(1./3) ! Fields et al. 2014 |
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| 350 | DD=1.0/taue |
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| 351 | NW=(sigmaw(i,k)**2)*SQRT(2./(C0*MAX(0.5*(tke_dissip(i,k)+tke_dissip(i,k+1)),dissmin))) |
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| 352 | AAprime=AA*NW |
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| 353 | VARLOG=AAprime/2./DD |
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| 354 | VARLOG=MIN(VARLOG,maxvarlog) |
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| 355 | ratqs_tke(i,k)=SQRT(MAX(EXP(VARLOG)-1.0,ratqsmin)) |
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| 356 | END DO |
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| 357 | END DO |
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| 358 | END SUBROUTINE calcratqs_tke |
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| 359 | |
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| 360 | |
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| 361 | |
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| 362 | |
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| 363 | |
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| 364 | END MODULE calcratqs_multi_mod |
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