| 1 | ! |
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| 2 | MODULE slab_heat_transp_mod |
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| 3 | ! |
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| 4 | ! Slab ocean : temperature tendencies due to horizontal diffusion |
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| 5 | ! and / or Ekman transport |
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| 6 | |
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| 7 | USE mod_grid_phy_lmdz, ONLY: nbp_lon, nbp_lat, klon_glo |
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| 8 | IMPLICIT NONE |
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| 9 | |
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| 10 | ! Variables copied over from dyn3d dynamics: |
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| 11 | REAL,SAVE,ALLOCATABLE :: fext(:) ! Coriolis f times cell area |
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| 12 | !$OMP THREADPRIVATE(fext) |
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| 13 | REAL,SAVE,ALLOCATABLE :: beta(:) ! df/dy |
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| 14 | !$OMP THREADPRIVATE(beta) |
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| 15 | REAL,SAVE,ALLOCATABLE :: unsairez(:) ! 1/cell area |
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| 16 | !$OMP THREADPRIVATE(unsairez) |
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| 17 | REAL,SAVE,ALLOCATABLE :: unsaire(:) |
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| 18 | !$OMP THREADPRIVATE(unsaire) |
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| 19 | REAL,SAVE,ALLOCATABLE :: cu(:) ! cell longitude dim (m) |
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| 20 | !$OMP THREADPRIVATE(cu) |
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| 21 | REAL,SAVE,ALLOCATABLE :: cv(:) ! cell latitude dim (m) |
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| 22 | !$OMP THREADPRIVATE(cv) |
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| 23 | REAL,SAVE,ALLOCATABLE :: cuvsurcv(:) ! cu/cv (v points) |
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| 24 | !$OMP THREADPRIVATE(cuvsurcv) |
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| 25 | REAL,SAVE,ALLOCATABLE :: cvusurcu(:) ! cv/cu (u points) |
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| 26 | !$OMP THREADPRIVATE(cvusurcu) |
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| 27 | REAL,SAVE,ALLOCATABLE :: aire(:) ! cell area |
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| 28 | !$OMP THREADPRIVATE(aire) |
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| 29 | REAL,SAVE :: apoln ! area of north pole points |
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| 30 | !$OMP THREADPRIVATE(apoln) |
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| 31 | REAL,SAVE :: apols ! area of south pole points |
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| 32 | !$OMP THREADPRIVATE(apols) |
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| 33 | REAL,SAVE,ALLOCATABLE :: aireu(:) ! area of u cells |
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| 34 | !$OMP THREADPRIVATE(aireu) |
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| 35 | REAL,SAVE,ALLOCATABLE :: airev(:) ! area of v cells |
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| 36 | !$OMP THREADPRIVATE(airev) |
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| 37 | |
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| 38 | ! Local parameters for slab transport |
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| 39 | LOGICAL,SAVE :: alpha_var ! variable coef for deep temp (1 layer) |
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| 40 | !$OMP THREADPRIVATE(alpha_var) |
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| 41 | LOGICAL,SAVE :: slab_upstream ! upstream scheme ? (1 layer) |
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| 42 | !$OMP THREADPRIVATE(slab_upstream) |
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| 43 | LOGICAL,SAVE :: slab_sverdrup ! use wind stress curl at equator |
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| 44 | !$OMP THREADPRIVATE(slab_sverdrup) |
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| 45 | LOGICAL,SAVE :: slab_tyeq ! use merid wind stress at equator |
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| 46 | !$OMP THREADPRIVATE(slab_tyeq) |
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| 47 | LOGICAL,SAVE :: ekman_zonadv ! use zonal advection by Ekman currents |
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| 48 | !$OMP THREADPRIVATE(ekman_zonadv) |
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| 49 | LOGICAL,SAVE :: ekman_zonavg ! zonally average wind stress |
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| 50 | !$OMP THREADPRIVATE(ekman_zonavg) |
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| 51 | |
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| 52 | REAL,SAVE :: alpham |
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| 53 | !$OMP THREADPRIVATE(alpham) |
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| 54 | REAL,SAVE :: gmkappa |
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| 55 | !$OMP THREADPRIVATE(gmkappa) |
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| 56 | REAL,SAVE :: gm_smax |
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| 57 | !$OMP THREADPRIVATE(gm_smax) |
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| 58 | |
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| 59 | ! geometry variables : f, beta, mask... |
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| 60 | REAL,SAVE,ALLOCATABLE :: zmasqu(:) ! continent mask for zonal mass flux |
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| 61 | !$OMP THREADPRIVATE(zmasqu) |
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| 62 | REAL,SAVE,ALLOCATABLE :: zmasqv(:) ! continent mask for merid mass flux |
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| 63 | !$OMP THREADPRIVATE(zmasqv) |
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| 64 | REAL,SAVE,ALLOCATABLE :: unsfv(:) ! 1/f, v points |
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| 65 | !$OMP THREADPRIVATE(unsfv) |
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| 66 | REAL,SAVE,ALLOCATABLE :: unsbv(:) ! 1/beta |
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| 67 | !$OMP THREADPRIVATE(unsbv) |
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| 68 | REAL,SAVE,ALLOCATABLE :: unsev(:) ! 1/epsilon (drag) |
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| 69 | !$OMP THREADPRIVATE(unsev) |
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| 70 | REAL,SAVE,ALLOCATABLE :: unsfu(:) ! 1/F, u points |
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| 71 | !$OMP THREADPRIVATE(unsfu) |
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| 72 | REAL,SAVE,ALLOCATABLE :: unseu(:) |
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| 73 | !$OMP THREADPRIVATE(unseu) |
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| 74 | |
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| 75 | ! Routines from dyn3d, valid on global dynamics grid only: |
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| 76 | PRIVATE :: gr_fi_dyn, gr_dyn_fi ! to go between 1D nd 2D horiz grid |
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| 77 | PRIVATE :: gr_scal_v,gr_v_scal,gr_scal_u ! change on 2D grid U,V, T points |
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| 78 | PRIVATE :: grad,diverg |
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| 79 | |
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| 80 | CONTAINS |
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| 81 | |
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| 82 | SUBROUTINE ini_slab_transp_geom(ip1jm,ip1jmp1,unsairez_,fext_,unsaire_,& |
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| 83 | cu_,cuvsurcv_,cv_,cvusurcu_, & |
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| 84 | aire_,apoln_,apols_, & |
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| 85 | aireu_,airev_,rlatv, rad, omeg) |
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| 86 | ! number of points in lon, lat |
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| 87 | IMPLICIT NONE |
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| 88 | ! Routine copies some geometry variables from the dynamical core |
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| 89 | ! see global vars for meaning |
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| 90 | INTEGER,INTENT(IN) :: ip1jm |
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| 91 | INTEGER,INTENT(IN) :: ip1jmp1 |
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| 92 | REAL,INTENT(IN) :: unsairez_(ip1jm) |
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| 93 | REAL,INTENT(IN) :: fext_(ip1jm) |
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| 94 | REAL,INTENT(IN) :: unsaire_(ip1jmp1) |
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| 95 | REAL,INTENT(IN) :: cu_(ip1jmp1) |
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| 96 | REAL,INTENT(IN) :: cuvsurcv_(ip1jm) |
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| 97 | REAL,INTENT(IN) :: cv_(ip1jm) |
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| 98 | REAL,INTENT(IN) :: cvusurcu_(ip1jmp1) |
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| 99 | REAL,INTENT(IN) :: aire_(ip1jmp1) |
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| 100 | REAL,INTENT(IN) :: apoln_ |
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| 101 | REAL,INTENT(IN) :: apols_ |
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| 102 | REAL,INTENT(IN) :: aireu_(ip1jmp1) |
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| 103 | REAL,INTENT(IN) :: airev_(ip1jm) |
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| 104 | REAL,INTENT(IN) :: rlatv(nbp_lat-1) |
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| 105 | REAL,INTENT(IN) :: rad |
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| 106 | REAL,INTENT(IN) :: omeg |
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| 107 | |
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| 108 | ! Sanity check on dimensions |
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| 109 | if ((ip1jm.ne.((nbp_lon+1)*(nbp_lat-1))).or. & |
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| 110 | (ip1jmp1.ne.((nbp_lon+1)*nbp_lat))) then |
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| 111 | write(*,*) "ini_slab_transp_geom Error: wrong array sizes" |
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| 112 | stop |
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| 113 | endif |
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| 114 | ! Allocations could be done only on master process/thread... |
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| 115 | allocate(unsairez(ip1jm)) |
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| 116 | unsairez(:)=unsairez_(:) |
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| 117 | allocate(fext(ip1jm)) |
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| 118 | fext(:)=fext_(:) |
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| 119 | allocate(unsaire(ip1jmp1)) |
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| 120 | unsaire(:)=unsaire_(:) |
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| 121 | allocate(cu(ip1jmp1)) |
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| 122 | cu(:)=cu_(:) |
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| 123 | allocate(cuvsurcv(ip1jm)) |
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| 124 | cuvsurcv(:)=cuvsurcv_(:) |
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| 125 | allocate(cv(ip1jm)) |
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| 126 | cv(:)=cv_(:) |
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| 127 | allocate(cvusurcu(ip1jmp1)) |
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| 128 | cvusurcu(:)=cvusurcu_(:) |
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| 129 | allocate(aire(ip1jmp1)) |
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| 130 | aire(:)=aire_(:) |
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| 131 | apoln=apoln_ |
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| 132 | apols=apols_ |
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| 133 | allocate(aireu(ip1jmp1)) |
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| 134 | aireu(:)=aireu_(:) |
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| 135 | allocate(airev(ip1jm)) |
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| 136 | airev(:)=airev_(:) |
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| 137 | allocate(beta(nbp_lat-1)) |
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| 138 | beta(:)=2*omeg*cos(rlatv(:))/rad |
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| 139 | |
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| 140 | END SUBROUTINE ini_slab_transp_geom |
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| 141 | |
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| 142 | SUBROUTINE ini_slab_transp(zmasq) |
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| 143 | |
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| 144 | ! USE ioipsl_getin_p_mod, only: getin_p |
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| 145 | USE IOIPSL, ONLY : getin |
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| 146 | IMPLICIT NONE |
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| 147 | |
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| 148 | REAL zmasq(klon_glo) ! ocean / continent mask, 1=continent |
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| 149 | REAL zmasq_2d((nbp_lon+1)*nbp_lat) |
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| 150 | REAL ff((nbp_lon+1)*(nbp_lat-1)) ! Coriolis parameter |
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| 151 | REAL eps ! epsilon friction timescale (s-1) |
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| 152 | INTEGER :: slab_ekman |
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| 153 | INTEGER i |
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| 154 | INTEGER :: iim,iip1,jjp1,ip1jm,ip1jmp1 |
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| 155 | |
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| 156 | ! Some definition for grid size |
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| 157 | ip1jm=(nbp_lon+1)*(nbp_lat-1) |
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| 158 | ip1jmp1=(nbp_lon+1)*nbp_lat |
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| 159 | iim=nbp_lon |
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| 160 | iip1=nbp_lon+1 |
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| 161 | jjp1=nbp_lat |
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| 162 | ip1jm=(nbp_lon+1)*(nbp_lat-1) |
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| 163 | ip1jmp1=(nbp_lon+1)*nbp_lat |
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| 164 | |
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| 165 | ! Options for Heat transport |
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| 166 | ! Alpha variable? |
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| 167 | alpha_var=.FALSE. |
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| 168 | CALL getin('slab_alphav',alpha_var) |
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| 169 | print *,'alpha variable',alpha_var |
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| 170 | ! centered ou upstream scheme for meridional transport |
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| 171 | slab_upstream=.FALSE. |
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| 172 | CALL getin('slab_upstream',slab_upstream) |
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| 173 | print *,'upstream slab scheme',slab_upstream |
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| 174 | ! Sverdrup balance at equator ? |
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| 175 | slab_sverdrup=.TRUE. |
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| 176 | CALL getin('slab_sverdrup',slab_sverdrup) |
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| 177 | print *,'Sverdrup balance',slab_sverdrup |
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| 178 | ! Use tauy for meridional flux at equator ? |
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| 179 | slab_tyeq=.TRUE. |
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| 180 | CALL getin('slab_tyeq',slab_tyeq) |
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| 181 | print *,'Tauy forcing at equator',slab_tyeq |
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| 182 | ! Use tauy for meridional flux at equator ? |
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| 183 | ekman_zonadv=.TRUE. |
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| 184 | CALL getin('slab_ekman_zonadv',ekman_zonadv) |
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| 185 | print *,'Use Ekman flow in zonal direction',ekman_zonadv |
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| 186 | ! Use tauy for meridional flux at equator ? |
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| 187 | ekman_zonavg=.FALSE. |
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| 188 | CALL getin('slab_ekman_zonavg',ekman_zonavg) |
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| 189 | print *,'Use zonally-averaged wind stress ?',ekman_zonavg |
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| 190 | ! Value of alpha |
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| 191 | alpham=2./3. |
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| 192 | CALL getin('slab_alpha',alpham) |
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| 193 | print *,'slab_alpha',alpham |
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| 194 | ! GM k coefficient (m2/s) for 2-layers |
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| 195 | gmkappa=1000. |
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| 196 | CALL getin('slab_gmkappa',gmkappa) |
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| 197 | print *,'slab_gmkappa',gmkappa |
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| 198 | ! GM k coefficient (m2/s) for 2-layers |
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| 199 | gm_smax=2e-3 |
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| 200 | CALL getin('slab_gm_smax',gm_smax) |
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| 201 | print *,'slab_gm_smax',gm_smax |
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| 202 | ! ----------------------------------------------------------- |
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| 203 | ! Define ocean / continent mask (no flux into continent cell) |
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| 204 | allocate(zmasqu(ip1jmp1)) |
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| 205 | allocate(zmasqv(ip1jm)) |
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| 206 | zmasqu=1. |
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| 207 | zmasqv=1. |
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| 208 | |
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| 209 | ! convert mask to 2D grid |
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| 210 | CALL gr_fi_dyn(1,iip1,jjp1,zmasq,zmasq_2d) |
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| 211 | ! put flux mask to 0 at boundaries of continent cells |
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| 212 | DO i=1,ip1jmp1-1 |
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| 213 | IF (zmasq_2d(i).GT.1e-5 .OR. zmasq_2d(i+1).GT.1e-5) THEN |
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| 214 | zmasqu(i)=0. |
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| 215 | ENDIF |
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| 216 | END DO |
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| 217 | DO i=iip1,ip1jmp1,iip1 |
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| 218 | zmasqu(i)=zmasqu(i-iim) |
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| 219 | END DO |
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| 220 | DO i=1,ip1jm |
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| 221 | IF (zmasq_2d(i).GT.1e-5 .OR. zmasq_2d(i+iip1).GT.1e-5) THEN |
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| 222 | zmasqv(i)=0. |
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| 223 | END IF |
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| 224 | END DO |
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| 225 | |
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| 226 | ! ----------------------------------------------------------- |
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| 227 | ! Coriolis and friction for Ekman transport |
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| 228 | slab_ekman=2 |
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| 229 | CALL getin("slab_ekman",slab_ekman) |
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| 230 | IF (slab_ekman.GT.0) THEN |
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| 231 | allocate(unsfv(ip1jm)) |
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| 232 | allocate(unsev(ip1jm)) |
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| 233 | allocate(unsfu(ip1jmp1)) |
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| 234 | allocate(unseu(ip1jmp1)) |
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| 235 | allocate(unsbv(ip1jm)) |
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| 236 | |
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| 237 | eps=1e-5 ! Drag |
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| 238 | CALL getin('slab_eps',eps) |
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| 239 | print *,'epsilon=',eps |
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| 240 | ff=fext*unsairez ! Coriolis |
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| 241 | ! coefs to convert tau_x, tau_y to Ekman mass fluxes |
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| 242 | ! on 2D grid v points |
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| 243 | ! Compute correction factor [0 1] near the equator (f<<eps) |
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| 244 | IF (slab_sverdrup) THEN |
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| 245 | ! New formulation, sharper near equator, when eps gives Rossby Radius |
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| 246 | DO i=1,ip1jm |
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| 247 | unsev(i)=exp(-ff(i)*ff(i)/eps**2) |
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| 248 | ENDDO |
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| 249 | ELSE |
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| 250 | DO i=1,ip1jm |
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| 251 | unsev(i)=eps**2/(ff(i)*ff(i)+eps**2) |
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| 252 | ENDDO |
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| 253 | END IF ! slab_sverdrup |
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| 254 | ! 1/beta |
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| 255 | DO i=1,jjp1-1 |
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| 256 | unsbv((i-1)*iip1+1:i*iip1)=unsev((i-1)*iip1+1:i*iip1)/beta(i) |
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| 257 | END DO |
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| 258 | ! 1/f |
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| 259 | ff=SIGN(MAX(ABS(ff),eps/100.),ff) ! avoid value 0 at equator... |
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| 260 | DO i=1,ip1jm |
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| 261 | unsfv(i)=(1.-unsev(i))/ff(i) |
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| 262 | END DO |
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| 263 | ! compute values on 2D u grid |
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| 264 | ! 1/eps |
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| 265 | unsev(:)=unsev(:)/eps |
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| 266 | CALL gr_v_scal(1,unsfv,unsfu) |
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| 267 | CALL gr_v_scal(1,unsev,unseu) |
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| 268 | END IF |
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| 269 | |
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| 270 | END SUBROUTINE ini_slab_transp |
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| 271 | |
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| 272 | SUBROUTINE divgrad_phy(nlevs,temp,delta) |
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| 273 | ! Computes temperature tendency due to horizontal diffusion : |
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| 274 | ! T Laplacian, later multiplied by diffusion coef and time-step |
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| 275 | |
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| 276 | IMPLICIT NONE |
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| 277 | |
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| 278 | INTEGER, INTENT(IN) :: nlevs ! nlevs : slab layers |
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| 279 | REAL, INTENT(IN) :: temp(klon_glo,nlevs) ! slab temperature |
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| 280 | REAL , INTENT(OUT) :: delta(klon_glo,nlevs) ! temp laplacian (heat flux div.) |
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| 281 | REAL :: delta_2d((nbp_lon+1)*nbp_lat,nlevs) |
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| 282 | REAL ghx((nbp_lon+1)*nbp_lat,nlevs), ghy((nbp_lon+1)*(nbp_lat-1),nlevs) |
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| 283 | INTEGER :: ll,iip1,jjp1 |
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| 284 | |
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| 285 | iip1=nbp_lon+1 |
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| 286 | jjp1=nbp_lat |
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| 287 | |
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| 288 | ! transpose temp to 2D horiz. grid |
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| 289 | CALL gr_fi_dyn(nlevs,iip1,jjp1,temp,delta_2d) |
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| 290 | ! computes gradient (proportional to heat flx) |
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| 291 | CALL grad(nlevs,delta_2d,ghx,ghy) |
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| 292 | ! put flux to 0 at ocean / continent boundary |
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| 293 | DO ll=1,nlevs |
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| 294 | ghx(:,ll)=ghx(:,ll)*zmasqu |
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| 295 | ghy(:,ll)=ghy(:,ll)*zmasqv |
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| 296 | END DO |
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| 297 | ! flux divergence |
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| 298 | CALL diverg(nlevs,ghx,ghy,delta_2d) |
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| 299 | ! laplacian back to 1D grid |
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| 300 | CALL gr_dyn_fi(nlevs,iip1,jjp1,delta_2d,delta) |
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| 301 | |
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| 302 | RETURN |
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| 303 | END SUBROUTINE divgrad_phy |
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| 304 | |
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| 305 | SUBROUTINE slab_ekman1(tx_phy,ty_phy,ts_phy,dt_phy) |
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| 306 | ! 1.5 Layer Ekman transport temperature tendency |
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| 307 | ! note : tendency dt later multiplied by (delta t)/(rho.H) |
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| 308 | ! to convert from divergence of heat fluxes to T |
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| 309 | |
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| 310 | IMPLICIT NONE |
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| 311 | |
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| 312 | ! tx, ty : wind stress (different grids) |
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| 313 | ! fluxm, fluz : mass *or heat* fluxes |
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| 314 | ! dt : temperature tendency |
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| 315 | INTEGER ij |
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| 316 | |
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| 317 | ! ts surface temp, td deep temp (diagnosed) |
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| 318 | REAL ts_phy(klon_glo) |
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| 319 | REAL ts((nbp_lon+1)*nbp_lat),td((nbp_lon+1)*nbp_lat) |
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| 320 | ! zonal and meridional wind stress |
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| 321 | REAL tx_phy(klon_glo),ty_phy(klon_glo) |
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| 322 | REAL tyu((nbp_lon+1)*nbp_lat),txu((nbp_lon+1)*nbp_lat) |
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| 323 | REAL txv((nbp_lon+1)*(nbp_lat-1)),tyv((nbp_lon+1)*(nbp_lat-1)) |
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| 324 | REAL tcurl((nbp_lon+1)*(nbp_lat-1)) |
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| 325 | ! zonal and meridional Ekman mass fluxes at u, v points (2D grid) |
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| 326 | REAL fluxz((nbp_lon+1)*nbp_lat),fluxm((nbp_lon+1)*(nbp_lat-1)) |
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| 327 | ! vertical and absolute mass fluxes (to estimate alpha) |
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| 328 | REAL fluxv((nbp_lon+1)*nbp_lat),fluxt((nbp_lon+1)*(nbp_lat-1)) |
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| 329 | ! temperature tendency |
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| 330 | REAL dt((nbp_lon+1)*nbp_lat),dt_phy(klon_glo) |
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| 331 | REAL alpha((nbp_lon+1)*nbp_lat) ! deep temperature coef |
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| 332 | |
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| 333 | INTEGER iim,iip1,iip2,jjp1,ip1jm,ip1jmi1,ip1jmp1 |
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| 334 | |
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| 335 | ! Grid definitions |
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| 336 | iim=nbp_lon |
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| 337 | iip1=nbp_lon+1 |
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| 338 | iip2=nbp_lon+2 |
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| 339 | jjp1=nbp_lat |
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| 340 | ip1jm=(nbp_lon+1)*(nbp_lat-1) ! = iip1*jjm |
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| 341 | ip1jmi1=(nbp_lon+1)*(nbp_lat-1)-(nbp_lon+1) ! = ip1jm - iip1 |
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| 342 | ip1jmp1=(nbp_lon+1)*nbp_lat ! = iip1*jjp1 |
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| 343 | |
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| 344 | ! Convert taux,y to 2D scalar grid |
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| 345 | ! Note: 2D grid size = iim*jjm. iip1=iim+1 |
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| 346 | ! First and last points in zonal direction are the same |
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| 347 | ! we use 1 index ij from 1 to (iim+1)*(jjm+1) |
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| 348 | ! north and south poles |
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| 349 | tx_phy(1)=0. |
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| 350 | tx_phy(klon_glo)=0. |
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| 351 | ty_phy(1)=0. |
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| 352 | ty_phy(klon_glo)=0. |
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| 353 | CALL gr_fi_dyn(1,iip1,jjp1,tx_phy,txu) |
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| 354 | CALL gr_fi_dyn(1,iip1,jjp1,ty_phy,tyu) |
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| 355 | ! convert to u,v grid (Arakawa C) |
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| 356 | ! Multiply by f or eps to get mass flux |
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| 357 | ! Meridional mass flux |
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| 358 | CALL gr_scal_v(1,txu,txv) ! wind stress at v points |
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| 359 | IF (slab_sverdrup) THEN ! Sverdrup bal. near equator |
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| 360 | tcurl=(txu(1:ip1jm)-txu(iip2:ip1jmp1))/cv(:) |
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| 361 | fluxm=-tcurl*unsbv-txv*unsfv ! in kg.s-1.m-1 (zonal distance) |
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| 362 | ELSE |
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| 363 | CALL gr_scal_v(1,tyu,tyv) |
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| 364 | fluxm=tyv*unsev-txv*unsfv ! in kg.s-1.m-1 (zonal distance) |
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| 365 | ENDIF |
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| 366 | ! Zonal mass flux |
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| 367 | CALL gr_scal_u(1,txu,txu) ! wind stress at u points |
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| 368 | CALL gr_scal_u(1,tyu,tyu) |
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| 369 | fluxz=tyu*unsfu+txu*unseu |
|---|
| 370 | |
|---|
| 371 | ! Correct flux: continent mask and horiz grid size |
|---|
| 372 | ! multiply m-flux by mask and dx: flux in kg.s-1 |
|---|
| 373 | fluxm=fluxm*cv*cuvsurcv*zmasqv |
|---|
| 374 | ! multiply z-flux by mask and dy: flux in kg.s-1 |
|---|
| 375 | fluxz=fluxz*cu*cvusurcu*zmasqu |
|---|
| 376 | |
|---|
| 377 | ! Compute vertical and absolute mass flux (for variable alpha) |
|---|
| 378 | IF (alpha_var) THEN |
|---|
| 379 | DO ij=iip2,ip1jm |
|---|
| 380 | fluxv(ij)=fluxz(ij)-fluxz(ij-1)-fluxm(ij)+fluxm(ij-iip1) |
|---|
| 381 | fluxt(ij)=ABS(fluxz(ij))+ABS(fluxz(ij-1)) & |
|---|
| 382 | +ABS(fluxm(ij))+ABS(fluxm(ij-iip1)) |
|---|
| 383 | ENDDO |
|---|
| 384 | DO ij=iip1,ip1jmi1,iip1 |
|---|
| 385 | fluxt(ij+1)=fluxt(ij+iip1) |
|---|
| 386 | fluxv(ij+1)=fluxv(ij+iip1) |
|---|
| 387 | END DO |
|---|
| 388 | fluxt(1)=SUM(ABS(fluxm(1:iim))) |
|---|
| 389 | fluxt(ip1jmp1)=SUM(ABS(fluxm(ip1jm-iim:ip1jm-1))) |
|---|
| 390 | fluxv(1)=-SUM(fluxm(1:iim)) |
|---|
| 391 | fluxv(ip1jmp1)=SUM(fluxm(ip1jm-iim:ip1jm-1)) |
|---|
| 392 | fluxt=MAX(fluxt,1.e-10) |
|---|
| 393 | ENDIF |
|---|
| 394 | |
|---|
| 395 | ! Compute alpha coefficient. |
|---|
| 396 | ! Tdeep = Tsurf * alpha + 271.35 * (1-alpha) |
|---|
| 397 | IF (alpha_var) THEN |
|---|
| 398 | ! increase alpha (and Tdeep) in downwelling regions |
|---|
| 399 | ! and decrease in upwelling regions |
|---|
| 400 | ! to avoid "hot spots" where there is surface convergence |
|---|
| 401 | DO ij=iip2,ip1jm |
|---|
| 402 | alpha(ij)=alpham-fluxv(ij)/fluxt(ij)*(1.-alpham) |
|---|
| 403 | ENDDO |
|---|
| 404 | alpha(1:iip1)=alpham-fluxv(1)/fluxt(1)*(1.-alpham) |
|---|
| 405 | alpha(ip1jm+1:ip1jmp1)=alpham-fluxv(ip1jmp1)/fluxt(ip1jmp1)*(1.-alpham) |
|---|
| 406 | ELSE |
|---|
| 407 | alpha(:)=alpham |
|---|
| 408 | ! Tsurf-Tdeep ~ 10° in the Tropics |
|---|
| 409 | ENDIF |
|---|
| 410 | |
|---|
| 411 | ! Estimate deep temperature |
|---|
| 412 | CALL gr_fi_dyn(1,iip1,jjp1,ts_phy,ts) |
|---|
| 413 | DO ij=1,ip1jmp1 |
|---|
| 414 | td(ij)=271.35+(ts(ij)-271.35)*alpha(ij) |
|---|
| 415 | td(ij)=MIN(td(ij),ts(ij)) |
|---|
| 416 | END DO |
|---|
| 417 | |
|---|
| 418 | ! Meridional heat flux: multiply mass flux by (ts-td) |
|---|
| 419 | ! flux in K.kg.s-1 |
|---|
| 420 | IF (slab_upstream) THEN |
|---|
| 421 | ! upstream scheme to avoid hot spots |
|---|
| 422 | DO ij=1,ip1jm |
|---|
| 423 | IF (fluxm(ij).GE.0.) THEN |
|---|
| 424 | fluxm(ij)=fluxm(ij)*(ts(ij+iip1)-td(ij)) |
|---|
| 425 | ELSE |
|---|
| 426 | fluxm(ij)=fluxm(ij)*(ts(ij)-td(ij+iip1)) |
|---|
| 427 | END IF |
|---|
| 428 | END DO |
|---|
| 429 | ELSE |
|---|
| 430 | ! centered scheme better in mid-latitudes |
|---|
| 431 | DO ij=1,ip1jm |
|---|
| 432 | fluxm(ij)=fluxm(ij)*(ts(ij+iip1)+ts(ij)-td(ij)-td(ij+iip1))/2. |
|---|
| 433 | END DO |
|---|
| 434 | ENDIF |
|---|
| 435 | |
|---|
| 436 | ! Zonal heat flux |
|---|
| 437 | ! upstream scheme |
|---|
| 438 | DO ij=iip2,ip1jm |
|---|
| 439 | fluxz(ij)=fluxz(ij)*(ts(ij)+ts(ij+1)-td(ij+1)-td(ij))/2. |
|---|
| 440 | END DO |
|---|
| 441 | DO ij=iip1*2,ip1jmp1,iip1 |
|---|
| 442 | fluxz(ij)=fluxz(ij-iim) |
|---|
| 443 | END DO |
|---|
| 444 | |
|---|
| 445 | ! temperature tendency = divergence of heat fluxes |
|---|
| 446 | ! dt in K.s-1.kg.m-2 (T trend times mass/horiz surface) |
|---|
| 447 | DO ij=iip2,ip1jm |
|---|
| 448 | dt(ij)=(fluxz(ij-1)-fluxz(ij)+fluxm(ij)-fluxm(ij-iip1)) & |
|---|
| 449 | /aire(ij) ! aire : grid area |
|---|
| 450 | END DO |
|---|
| 451 | DO ij=iip1,ip1jmi1,iip1 |
|---|
| 452 | dt(ij+1)=dt(ij+iip1) |
|---|
| 453 | END DO |
|---|
| 454 | ! special treatment at the Poles |
|---|
| 455 | dt(1)=SUM(fluxm(1:iim))/apoln |
|---|
| 456 | dt(ip1jmp1)=-SUM(fluxm(ip1jm-iim:ip1jm-1))/apols |
|---|
| 457 | dt(2:iip1)=dt(1) |
|---|
| 458 | dt(ip1jm+1:ip1jmp1)=dt(ip1jmp1) |
|---|
| 459 | |
|---|
| 460 | ! tendencies back to 1D grid |
|---|
| 461 | CALL gr_dyn_fi(1,iip1,jjp1,dt,dt_phy) |
|---|
| 462 | |
|---|
| 463 | RETURN |
|---|
| 464 | END SUBROUTINE slab_ekman1 |
|---|
| 465 | |
|---|
| 466 | SUBROUTINE slab_ekman2(tx_phy,ty_phy,ts_phy,dt_phy_ek,dt_phy_gm,slab_gm) |
|---|
| 467 | ! Temperature tendency for 2-layers slab ocean |
|---|
| 468 | ! note : tendency dt later multiplied by (delta time)/(rho.H) |
|---|
| 469 | ! to convert from divergence of heat fluxes to T |
|---|
| 470 | |
|---|
| 471 | ! 11/16 : Inclusion of GM-like eddy advection |
|---|
| 472 | |
|---|
| 473 | IMPLICIT NONE |
|---|
| 474 | |
|---|
| 475 | LOGICAL,INTENT(in) :: slab_gm |
|---|
| 476 | ! Here, temperature and flux variables are on 2 layers |
|---|
| 477 | INTEGER ij |
|---|
| 478 | |
|---|
| 479 | ! wind stress variables |
|---|
| 480 | REAL tx_phy(klon_glo),ty_phy(klon_glo) |
|---|
| 481 | REAL txv((nbp_lon+1)*(nbp_lat-1)), tyv((nbp_lon+1)*(nbp_lat-1)) |
|---|
| 482 | REAL tyu((nbp_lon+1)*nbp_lat),txu((nbp_lon+1)*nbp_lat) |
|---|
| 483 | REAL tcurl((nbp_lon+1)*(nbp_lat-1)) |
|---|
| 484 | ! slab temperature on 1D, 2D grid |
|---|
| 485 | REAL ts_phy(klon_glo,2), ts((nbp_lon+1)*nbp_lat,2) |
|---|
| 486 | ! Temperature gradient, v-points |
|---|
| 487 | REAL dty((nbp_lon+1)*(nbp_lat-1)),dtx((nbp_lon+1)*nbp_lat) |
|---|
| 488 | ! Vertical temperature difference, V-points |
|---|
| 489 | REAL dtz((nbp_lon+1)*(nbp_lat-1)) |
|---|
| 490 | ! zonal and meridional mass fluxes at u, v points (2D grid) |
|---|
| 491 | REAL fluxz((nbp_lon+1)*nbp_lat), fluxm((nbp_lon+1)*(nbp_lat-1)) |
|---|
| 492 | ! vertical mass flux between the 2 layers |
|---|
| 493 | REAL fluxv_ek((nbp_lon+1)*nbp_lat) |
|---|
| 494 | REAL fluxv_gm((nbp_lon+1)*nbp_lat) |
|---|
| 495 | ! zonal and meridional heat fluxes |
|---|
| 496 | REAL fluxtz((nbp_lon+1)*nbp_lat,2) |
|---|
| 497 | REAL fluxtm((nbp_lon+1)*(nbp_lat-1),2) |
|---|
| 498 | ! temperature tendency (in K.s-1.kg.m-2) |
|---|
| 499 | REAL dt_ek((nbp_lon+1)*nbp_lat,2), dt_phy_ek(klon_glo,2) |
|---|
| 500 | REAL dt_gm((nbp_lon+1)*nbp_lat,2), dt_phy_gm(klon_glo,2) |
|---|
| 501 | ! helper vars |
|---|
| 502 | REAL zonavg, fluxv |
|---|
| 503 | REAL, PARAMETER :: sea_den=1025. ! sea water density |
|---|
| 504 | |
|---|
| 505 | INTEGER iim,iip1,iip2,jjp1,ip1jm,ip1jmi1,ip1jmp1 |
|---|
| 506 | |
|---|
| 507 | ! Grid definitions |
|---|
| 508 | iim=nbp_lon |
|---|
| 509 | iip1=nbp_lon+1 |
|---|
| 510 | iip2=nbp_lon+2 |
|---|
| 511 | jjp1=nbp_lat |
|---|
| 512 | ip1jm=(nbp_lon+1)*(nbp_lat-1) ! = iip1*jjm |
|---|
| 513 | ip1jmi1=(nbp_lon+1)*(nbp_lat-1)-(nbp_lon+1) ! = ip1jm - iip1 |
|---|
| 514 | ip1jmp1=(nbp_lon+1)*nbp_lat ! = iip1*jjp1 |
|---|
| 515 | ! Convert temperature to 2D grid |
|---|
| 516 | CALL gr_fi_dyn(2,iip1,jjp1,ts_phy,ts) |
|---|
| 517 | |
|---|
| 518 | ! ------------------------------------ |
|---|
| 519 | ! Ekman mass fluxes and Temp tendency |
|---|
| 520 | ! ------------------------------------ |
|---|
| 521 | ! Convert taux,y to 2D scalar grid |
|---|
| 522 | ! north and south poles tx,ty no meaning |
|---|
| 523 | tx_phy(1)=0. |
|---|
| 524 | tx_phy(klon_glo)=0. |
|---|
| 525 | ty_phy(1)=0. |
|---|
| 526 | ty_phy(klon_glo)=0. |
|---|
| 527 | CALL gr_fi_dyn(1,iip1,jjp1,tx_phy,txu) |
|---|
| 528 | CALL gr_fi_dyn(1,iip1,jjp1,ty_phy,tyu) |
|---|
| 529 | IF (ekman_zonavg) THEN ! use zonal average of wind stress |
|---|
| 530 | DO ij=1,jjp1-2 |
|---|
| 531 | zonavg=SUM(txu(ij*iip1+1:ij*iip1+iim))/iim |
|---|
| 532 | txu(ij*iip1+1:(ij+1)*iip1)=zonavg |
|---|
| 533 | zonavg=SUM(tyu(ij*iip1+1:ij*iip1+iim))/iim |
|---|
| 534 | tyu(ij*iip1+1:(ij+1)*iip1)=zonavg |
|---|
| 535 | END DO |
|---|
| 536 | END IF |
|---|
| 537 | |
|---|
| 538 | ! Divide taux,y by f or eps, and convert to 2D u,v grids |
|---|
| 539 | ! (Arakawa C grid) |
|---|
| 540 | ! Meridional flux |
|---|
| 541 | CALL gr_scal_v(1,txu,txv) ! wind stress at v points |
|---|
| 542 | fluxm=-txv*unsfv ! in kg.s-1.m-1 (zonal distance) |
|---|
| 543 | IF (slab_sverdrup) THEN ! Sverdrup bal. near equator |
|---|
| 544 | tcurl=(txu(1:ip1jm)-txu(iip2:ip1jmp1))/cv(:) ! dtx/dy |
|---|
| 545 | !poles curl = 0 |
|---|
| 546 | tcurl(1:iip1)=0. |
|---|
| 547 | tcurl(ip1jmi1+1:ip1jm)=0. |
|---|
| 548 | fluxm=fluxm-tcurl*unsbv |
|---|
| 549 | ENDIF |
|---|
| 550 | IF (slab_tyeq) THEN ! meridional wind forcing at equator |
|---|
| 551 | CALL gr_scal_v(1,tyu,tyv) |
|---|
| 552 | fluxm=fluxm+tyv*unsev ! in kg.s-1.m-1 (zonal distance) |
|---|
| 553 | ENDIF |
|---|
| 554 | ! apply continent mask, multiply by horiz grid dimension |
|---|
| 555 | fluxm=fluxm*cv*cuvsurcv*zmasqv |
|---|
| 556 | |
|---|
| 557 | ! Zonal flux |
|---|
| 558 | IF (ekman_zonadv) THEN |
|---|
| 559 | CALL gr_scal_u(1,txu,txu) ! wind stress at u points |
|---|
| 560 | CALL gr_scal_u(1,tyu,tyu) |
|---|
| 561 | fluxz=tyu*unsfu+txu*unseu |
|---|
| 562 | ! apply continent mask, multiply by horiz grid dimension |
|---|
| 563 | fluxz=fluxz*cu*cvusurcu*zmasqu |
|---|
| 564 | END IF |
|---|
| 565 | |
|---|
| 566 | ! Vertical mass flux from mass budget (divergence of horiz fluxes) |
|---|
| 567 | IF (ekman_zonadv) THEN |
|---|
| 568 | DO ij=iip2,ip1jm |
|---|
| 569 | fluxv_ek(ij)=fluxz(ij)-fluxz(ij-1)-fluxm(ij)+fluxm(ij-iip1) |
|---|
| 570 | ENDDO |
|---|
| 571 | ELSE |
|---|
| 572 | DO ij=iip2,ip1jm |
|---|
| 573 | fluxv_ek(ij)=-fluxm(ij)+fluxm(ij-iip1) |
|---|
| 574 | ENDDO |
|---|
| 575 | END IF |
|---|
| 576 | DO ij=iip1,ip1jmi1,iip1 |
|---|
| 577 | fluxv_ek(ij+1)=fluxv_ek(ij+iip1) |
|---|
| 578 | END DO |
|---|
| 579 | ! vertical mass flux at Poles |
|---|
| 580 | fluxv_ek(1)=-SUM(fluxm(1:iim)) |
|---|
| 581 | fluxv_ek(ip1jmp1)=SUM(fluxm(ip1jm-iim:ip1jm-1)) |
|---|
| 582 | |
|---|
| 583 | ! Meridional heat fluxes |
|---|
| 584 | DO ij=1,ip1jm |
|---|
| 585 | ! centered scheme |
|---|
| 586 | fluxtm(ij,1)=fluxm(ij)*(ts(ij+iip1,1)+ts(ij,1))/2. |
|---|
| 587 | fluxtm(ij,2)=-fluxm(ij)*(ts(ij+iip1,2)+ts(ij,2))/2. |
|---|
| 588 | END DO |
|---|
| 589 | |
|---|
| 590 | ! Zonal heat fluxes |
|---|
| 591 | ! Schema upstream |
|---|
| 592 | IF (ekman_zonadv) THEN |
|---|
| 593 | DO ij=iip2,ip1jm |
|---|
| 594 | IF (fluxz(ij).GE.0.) THEN |
|---|
| 595 | fluxtz(ij,1)=fluxz(ij)*ts(ij,1) |
|---|
| 596 | fluxtz(ij,2)=-fluxz(ij)*ts(ij+1,2) |
|---|
| 597 | ELSE |
|---|
| 598 | fluxtz(ij,1)=fluxz(ij)*ts(ij+1,1) |
|---|
| 599 | fluxtz(ij,2)=-fluxz(ij)*ts(ij,2) |
|---|
| 600 | ENDIF |
|---|
| 601 | ENDDO |
|---|
| 602 | DO ij=iip1*2,ip1jmp1,iip1 |
|---|
| 603 | fluxtz(ij,:)=fluxtz(ij-iim,:) |
|---|
| 604 | END DO |
|---|
| 605 | ELSE |
|---|
| 606 | fluxtz(:,:)=0. |
|---|
| 607 | ENDIF |
|---|
| 608 | |
|---|
| 609 | ! Temperature tendency, horizontal advection: |
|---|
| 610 | DO ij=iip2,ip1jm |
|---|
| 611 | dt_ek(ij,:)=fluxtz(ij-1,:)-fluxtz(ij,:) & |
|---|
| 612 | +fluxtm(ij,:)-fluxtm(ij-iip1,:) |
|---|
| 613 | END DO |
|---|
| 614 | ! Poles |
|---|
| 615 | dt_ek(1,:)=SUM(fluxtm(1:iim,:),dim=1) |
|---|
| 616 | dt_ek(ip1jmp1,:)=-SUM(fluxtm(ip1jm-iim:ip1jm-1,:),dim=1) |
|---|
| 617 | |
|---|
| 618 | ! ------------------------------------ |
|---|
| 619 | ! GM mass fluxes and Temp tendency |
|---|
| 620 | ! ------------------------------------ |
|---|
| 621 | IF (slab_gm) THEN |
|---|
| 622 | ! Vertical Temperature difference T1-T2 on v-grid points |
|---|
| 623 | CALL gr_scal_v(1,ts(:,1)-ts(:,2),dtz) |
|---|
| 624 | dtz(:)=MAX(dtz(:),0.25) |
|---|
| 625 | ! Horizontal Temperature differences |
|---|
| 626 | CALL grad(1,(ts(:,1)+ts(:,2))/2.,dtx,dty) |
|---|
| 627 | ! Meridional flux = -k.s (s=dyT/dzT) |
|---|
| 628 | ! Continent mask, multiply by dz/dy |
|---|
| 629 | fluxm=dty/dtz*500.*cuvsurcv*zmasqv |
|---|
| 630 | ! slope limitation, multiply by kappa |
|---|
| 631 | fluxm=-gmkappa*SIGN(MIN(ABS(fluxm),gm_smax*cv*cuvsurcv),dty) |
|---|
| 632 | ! convert to kg/s |
|---|
| 633 | fluxm(:)=fluxm(:)*sea_den |
|---|
| 634 | ! Zonal flux = 0. (temporary) |
|---|
| 635 | fluxz(:)=0. |
|---|
| 636 | ! Vertical mass flux from mass budget (divergence of horiz fluxes) |
|---|
| 637 | DO ij=iip2,ip1jm |
|---|
| 638 | fluxv_gm(ij)=fluxz(ij)-fluxz(ij-1)-fluxm(ij)+fluxm(ij-iip1) |
|---|
| 639 | ENDDO |
|---|
| 640 | DO ij=iip1,ip1jmi1,iip1 |
|---|
| 641 | fluxv_gm(ij+1)=fluxv_gm(ij+iip1) |
|---|
| 642 | END DO |
|---|
| 643 | ! vertical mass flux at Poles |
|---|
| 644 | fluxv_gm(1)=-SUM(fluxm(1:iim)) |
|---|
| 645 | fluxv_gm(ip1jmp1)=SUM(fluxm(ip1jm-iim:ip1jm-1)) |
|---|
| 646 | |
|---|
| 647 | ! Meridional heat fluxes |
|---|
| 648 | DO ij=1,ip1jm |
|---|
| 649 | ! centered scheme |
|---|
| 650 | fluxtm(ij,1)=fluxm(ij)*(ts(ij+iip1,1)+ts(ij,1))/2. |
|---|
| 651 | fluxtm(ij,2)=-fluxm(ij)*(ts(ij+iip1,2)+ts(ij,2))/2. |
|---|
| 652 | END DO |
|---|
| 653 | |
|---|
| 654 | ! Zonal heat fluxes |
|---|
| 655 | ! Schema upstream |
|---|
| 656 | DO ij=iip2,ip1jm |
|---|
| 657 | IF (fluxz(ij).GE.0.) THEN |
|---|
| 658 | fluxtz(ij,1)=fluxz(ij)*ts(ij,1) |
|---|
| 659 | fluxtz(ij,2)=-fluxz(ij)*ts(ij+1,2) |
|---|
| 660 | ELSE |
|---|
| 661 | fluxtz(ij,1)=fluxz(ij)*ts(ij+1,1) |
|---|
| 662 | fluxtz(ij,2)=-fluxz(ij)*ts(ij,2) |
|---|
| 663 | ENDIF |
|---|
| 664 | ENDDO |
|---|
| 665 | DO ij=iip1*2,ip1jmp1,iip1 |
|---|
| 666 | fluxtz(ij,:)=fluxtz(ij-iim,:) |
|---|
| 667 | END DO |
|---|
| 668 | |
|---|
| 669 | ! Temperature tendency : |
|---|
| 670 | ! divergence of horizontal heat fluxes |
|---|
| 671 | DO ij=iip2,ip1jm |
|---|
| 672 | dt_gm(ij,:)=fluxtz(ij-1,:)-fluxtz(ij,:) & |
|---|
| 673 | +fluxtm(ij,:)-fluxtm(ij-iip1,:) |
|---|
| 674 | END DO |
|---|
| 675 | ! Poles |
|---|
| 676 | dt_gm(1,:)=SUM(fluxtm(1:iim,:),dim=1) |
|---|
| 677 | dt_gm(ip1jmp1,:)=-SUM(fluxtm(ip1jm-iim:ip1jm-1,:),dim=1) |
|---|
| 678 | ELSE |
|---|
| 679 | dt_gm(:,:)=0. |
|---|
| 680 | fluxv_gm(:)=0. |
|---|
| 681 | ENDIF ! slab_gm |
|---|
| 682 | |
|---|
| 683 | ! ------------------------------------ |
|---|
| 684 | ! Temp tendency from vertical advection |
|---|
| 685 | ! Divide by cell area |
|---|
| 686 | ! ------------------------------------ |
|---|
| 687 | ! vertical heat flux = mass flux * T, upstream scheme |
|---|
| 688 | DO ij=iip2,ip1jm |
|---|
| 689 | fluxv=fluxv_ek(ij)+fluxv_gm(ij) ! net flux, needed for upstream scheme |
|---|
| 690 | IF (fluxv.GT.0.) THEN |
|---|
| 691 | dt_ek(ij,1)=dt_ek(ij,1)+fluxv_ek(ij)*ts(ij,2) |
|---|
| 692 | dt_ek(ij,2)=dt_ek(ij,2)-fluxv_ek(ij)*ts(ij,2) |
|---|
| 693 | dt_gm(ij,1)=dt_gm(ij,1)+fluxv_gm(ij)*ts(ij,2) |
|---|
| 694 | dt_gm(ij,2)=dt_gm(ij,2)-fluxv_gm(ij)*ts(ij,2) |
|---|
| 695 | ELSE |
|---|
| 696 | dt_ek(ij,1)=dt_ek(ij,1)+fluxv_ek(ij)*ts(ij,1) |
|---|
| 697 | dt_ek(ij,2)=dt_ek(ij,2)-fluxv_ek(ij)*ts(ij,1) |
|---|
| 698 | dt_gm(ij,1)=dt_gm(ij,1)+fluxv_gm(ij)*ts(ij,1) |
|---|
| 699 | dt_gm(ij,2)=dt_gm(ij,2)-fluxv_gm(ij)*ts(ij,1) |
|---|
| 700 | ENDIF |
|---|
| 701 | ! divide by cell area |
|---|
| 702 | dt_ek(ij,:)=dt_ek(ij,:)/aire(ij) |
|---|
| 703 | dt_gm(ij,:)=dt_gm(ij,:)/aire(ij) |
|---|
| 704 | END DO |
|---|
| 705 | ! North Pole |
|---|
| 706 | fluxv=fluxv_ek(1)+fluxv_gm(1) |
|---|
| 707 | IF (fluxv.GT.0.) THEN |
|---|
| 708 | dt_ek(1,1)=dt_ek(1,1)+fluxv_ek(1)*ts(1,2) |
|---|
| 709 | dt_ek(1,2)=dt_ek(1,2)-fluxv_ek(1)*ts(1,2) |
|---|
| 710 | dt_gm(1,1)=dt_gm(1,1)+fluxv_gm(1)*ts(1,2) |
|---|
| 711 | dt_gm(1,2)=dt_gm(1,2)-fluxv_gm(1)*ts(1,2) |
|---|
| 712 | ELSE |
|---|
| 713 | dt_ek(1,1)=dt_ek(1,1)+fluxv_ek(1)*ts(1,1) |
|---|
| 714 | dt_ek(1,2)=dt_ek(1,2)-fluxv_ek(1)*ts(1,1) |
|---|
| 715 | dt_gm(1,1)=dt_gm(1,1)+fluxv_gm(1)*ts(1,1) |
|---|
| 716 | dt_gm(1,2)=dt_gm(1,2)-fluxv_gm(1)*ts(1,1) |
|---|
| 717 | ENDIF |
|---|
| 718 | dt_ek(1,:)=dt_ek(1,:)/apoln |
|---|
| 719 | dt_gm(1,:)=dt_gm(1,:)/apoln |
|---|
| 720 | ! South pole |
|---|
| 721 | fluxv=fluxv_ek(ip1jmp1)+fluxv_gm(ip1jmp1) |
|---|
| 722 | IF (fluxv.GT.0.) THEN |
|---|
| 723 | dt_ek(ip1jmp1,1)=dt_ek(ip1jmp1,1)+fluxv_ek(ip1jmp1)*ts(ip1jmp1,2) |
|---|
| 724 | dt_ek(ip1jmp1,2)=dt_ek(ip1jmp1,2)-fluxv_ek(ip1jmp1)*ts(ip1jmp1,2) |
|---|
| 725 | dt_gm(ip1jmp1,1)=dt_gm(ip1jmp1,1)+fluxv_gm(ip1jmp1)*ts(ip1jmp1,2) |
|---|
| 726 | dt_gm(ip1jmp1,2)=dt_gm(ip1jmp1,2)-fluxv_gm(ip1jmp1)*ts(ip1jmp1,2) |
|---|
| 727 | ELSE |
|---|
| 728 | dt_ek(ip1jmp1,1)=dt_ek(ip1jmp1,1)+fluxv_ek(ip1jmp1)*ts(ip1jmp1,1) |
|---|
| 729 | dt_ek(ip1jmp1,2)=dt_ek(ip1jmp1,2)-fluxv_ek(ip1jmp1)*ts(ip1jmp1,1) |
|---|
| 730 | dt_gm(ip1jmp1,1)=dt_gm(ip1jmp1,1)+fluxv_gm(ip1jmp1)*ts(ip1jmp1,1) |
|---|
| 731 | dt_gm(ip1jmp1,2)=dt_gm(ip1jmp1,2)-fluxv_gm(ip1jmp1)*ts(ip1jmp1,1) |
|---|
| 732 | ENDIF |
|---|
| 733 | dt_ek(ip1jmp1,:)=dt_ek(ip1jmp1,:)/apols |
|---|
| 734 | dt_gm(ip1jmp1,:)=dt_gm(ip1jmp1,:)/apols |
|---|
| 735 | |
|---|
| 736 | dt_ek(2:iip1,1)=dt_ek(1,1) |
|---|
| 737 | dt_ek(2:iip1,2)=dt_ek(1,2) |
|---|
| 738 | dt_gm(2:iip1,1)=dt_gm(1,1) |
|---|
| 739 | dt_gm(2:iip1,2)=dt_gm(1,2) |
|---|
| 740 | dt_ek(ip1jm+1:ip1jmp1,1)=dt_ek(ip1jmp1,1) |
|---|
| 741 | dt_ek(ip1jm+1:ip1jmp1,2)=dt_ek(ip1jmp1,2) |
|---|
| 742 | dt_gm(ip1jm+1:ip1jmp1,1)=dt_gm(ip1jmp1,1) |
|---|
| 743 | dt_gm(ip1jm+1:ip1jmp1,2)=dt_gm(ip1jmp1,2) |
|---|
| 744 | |
|---|
| 745 | DO ij=iip1,ip1jmi1,iip1 |
|---|
| 746 | dt_gm(ij+1,:)=dt_gm(ij+iip1,:) |
|---|
| 747 | dt_ek(ij+1,:)=dt_ek(ij+iip1,:) |
|---|
| 748 | END DO |
|---|
| 749 | |
|---|
| 750 | ! T tendency back to 1D grid... |
|---|
| 751 | CALL gr_dyn_fi(2,iip1,jjp1,dt_ek,dt_phy_ek) |
|---|
| 752 | CALL gr_dyn_fi(2,iip1,jjp1,dt_gm,dt_phy_gm) |
|---|
| 753 | |
|---|
| 754 | RETURN |
|---|
| 755 | END SUBROUTINE slab_ekman2 |
|---|
| 756 | |
|---|
| 757 | SUBROUTINE slab_gmdiff(ts_phy,dt_phy) |
|---|
| 758 | ! Temperature tendency for 2-layers slab ocean |
|---|
| 759 | ! Due to Gent-McWilliams type eddy-induced advection |
|---|
| 760 | |
|---|
| 761 | IMPLICIT NONE |
|---|
| 762 | |
|---|
| 763 | ! Here, temperature and flux variables are on 2 layers |
|---|
| 764 | INTEGER ij |
|---|
| 765 | ! Temperature gradient, v-points |
|---|
| 766 | REAL dty((nbp_lon+1)*(nbp_lat-1)),dtx((nbp_lon+1)*nbp_lat) |
|---|
| 767 | ! Vertical temperature difference, V-points |
|---|
| 768 | REAL dtz((nbp_lon+1)*(nbp_lat-1)) |
|---|
| 769 | ! slab temperature on 1D, 2D grid |
|---|
| 770 | REAL ts_phy(klon_glo,2),ts((nbp_lon+1)*nbp_lat,2) |
|---|
| 771 | ! zonal and meridional mass fluxes at u, v points (2D grid) |
|---|
| 772 | REAL fluxz((nbp_lon+1)*nbp_lat), fluxm((nbp_lon+1)*(nbp_lat-1)) |
|---|
| 773 | ! vertical mass flux between the 2 layers |
|---|
| 774 | REAL fluxv((nbp_lon+1)*nbp_lat) |
|---|
| 775 | ! zonal and meridional heat fluxes |
|---|
| 776 | REAL fluxtz((nbp_lon+1)*nbp_lat,2) |
|---|
| 777 | REAL fluxtm((nbp_lon+1)*(nbp_lat-1),2) |
|---|
| 778 | ! temperature tendency (in K.s-1.kg.m-2) |
|---|
| 779 | REAL dt((nbp_lon+1)*nbp_lat,2), dt_phy(klon_glo,2) |
|---|
| 780 | |
|---|
| 781 | INTEGER iim,iip1,iip2,jjp1,ip1jm,ip1jmi1,ip1jmp1 |
|---|
| 782 | |
|---|
| 783 | ! Grid definitions |
|---|
| 784 | iim=nbp_lon |
|---|
| 785 | iip1=nbp_lon+1 |
|---|
| 786 | iip2=nbp_lon+2 |
|---|
| 787 | jjp1=nbp_lat |
|---|
| 788 | ip1jm=(nbp_lon+1)*(nbp_lat-1) ! = iip1*jjm |
|---|
| 789 | ip1jmi1=(nbp_lon+1)*(nbp_lat-1)-(nbp_lon+1) ! = ip1jm - iip1 |
|---|
| 790 | ip1jmp1=(nbp_lon+1)*nbp_lat ! = iip1*jjp1 |
|---|
| 791 | |
|---|
| 792 | ! Convert temperature to 2D grid |
|---|
| 793 | CALL gr_fi_dyn(2,iip1,jjp1,ts_phy,ts) |
|---|
| 794 | ! Vertical Temperature difference T1-T2 on v-grid points |
|---|
| 795 | CALL gr_scal_v(1,ts(:,1)-ts(:,2),dtz) |
|---|
| 796 | dtz(:)=MAX(dtz(:),0.25) |
|---|
| 797 | ! Horizontal Temperature differences |
|---|
| 798 | CALL grad(1,(ts(:,1)+ts(:,2))/2.,dtx,dty) |
|---|
| 799 | ! Meridional flux = -k.s (s=dyT/dzT) |
|---|
| 800 | ! Continent mask, multiply by dz/dy |
|---|
| 801 | fluxm=dty/dtz*500.*cuvsurcv*zmasqv |
|---|
| 802 | ! slope limitation, multiply by kappa |
|---|
| 803 | fluxm=-gmkappa*SIGN(MIN(ABS(fluxm),gm_smax*cv*cuvsurcv),dty) |
|---|
| 804 | ! Zonal flux = 0. (temporary) |
|---|
| 805 | fluxz(:)=0. |
|---|
| 806 | ! Vertical mass flux from mass budget (divergence of horiz fluxes) |
|---|
| 807 | DO ij=iip2,ip1jm |
|---|
| 808 | fluxv(ij)=fluxz(ij)-fluxz(ij-1)-fluxm(ij)+fluxm(ij-iip1) |
|---|
| 809 | ENDDO |
|---|
| 810 | DO ij=iip1,ip1jmi1,iip1 |
|---|
| 811 | fluxv(ij+1)=fluxv(ij+iip1) |
|---|
| 812 | END DO |
|---|
| 813 | ! vertical mass flux at Poles |
|---|
| 814 | fluxv(1)=-SUM(fluxm(1:iim)) |
|---|
| 815 | fluxv(ip1jmp1)=SUM(fluxm(ip1jm-iim:ip1jm-1)) |
|---|
| 816 | fluxv=fluxv |
|---|
| 817 | |
|---|
| 818 | ! Meridional heat fluxes |
|---|
| 819 | DO ij=1,ip1jm |
|---|
| 820 | ! centered scheme |
|---|
| 821 | fluxtm(ij,1)=fluxm(ij)*(ts(ij+iip1,1)+ts(ij,1))/2. |
|---|
| 822 | fluxtm(ij,2)=-fluxm(ij)*(ts(ij+iip1,2)+ts(ij,2))/2. |
|---|
| 823 | END DO |
|---|
| 824 | |
|---|
| 825 | ! Zonal heat fluxes |
|---|
| 826 | ! Schema upstream |
|---|
| 827 | DO ij=iip2,ip1jm |
|---|
| 828 | IF (fluxz(ij).GE.0.) THEN |
|---|
| 829 | fluxtz(ij,1)=fluxz(ij)*ts(ij,1) |
|---|
| 830 | fluxtz(ij,2)=-fluxz(ij)*ts(ij+1,2) |
|---|
| 831 | ELSE |
|---|
| 832 | fluxtz(ij,1)=fluxz(ij)*ts(ij+1,1) |
|---|
| 833 | fluxtz(ij,2)=-fluxz(ij)*ts(ij,2) |
|---|
| 834 | ENDIF |
|---|
| 835 | ENDDO |
|---|
| 836 | DO ij=iip1*2,ip1jmp1,iip1 |
|---|
| 837 | fluxtz(ij,:)=fluxtz(ij-iim,:) |
|---|
| 838 | END DO |
|---|
| 839 | |
|---|
| 840 | ! Temperature tendency : |
|---|
| 841 | DO ij=iip2,ip1jm |
|---|
| 842 | ! divergence of horizontal heat fluxes |
|---|
| 843 | dt(ij,:)=fluxtz(ij-1,:)-fluxtz(ij,:) & |
|---|
| 844 | +fluxtm(ij,:)-fluxtm(ij-iip1,:) |
|---|
| 845 | ! + vertical heat flux (mass flux * T, upstream scheme) |
|---|
| 846 | IF (fluxv(ij).GT.0.) THEN |
|---|
| 847 | dt(ij,1)=dt(ij,1)+fluxv(ij)*ts(ij,2) |
|---|
| 848 | dt(ij,2)=dt(ij,2)-fluxv(ij)*ts(ij,2) |
|---|
| 849 | ELSE |
|---|
| 850 | dt(ij,1)=dt(ij,1)+fluxv(ij)*ts(ij,1) |
|---|
| 851 | dt(ij,2)=dt(ij,2)-fluxv(ij)*ts(ij,1) |
|---|
| 852 | ENDIF |
|---|
| 853 | ! divide by cell area |
|---|
| 854 | dt(ij,:)=dt(ij,:)/aire(ij) |
|---|
| 855 | END DO |
|---|
| 856 | DO ij=iip1,ip1jmi1,iip1 |
|---|
| 857 | dt(ij+1,:)=dt(ij+iip1,:) |
|---|
| 858 | END DO |
|---|
| 859 | ! Poles |
|---|
| 860 | dt(1,:)=SUM(fluxtm(1:iim,:),dim=1) |
|---|
| 861 | IF (fluxv(1).GT.0.) THEN |
|---|
| 862 | dt(1,1)=dt(1,1)+fluxv(1)*ts(1,2) |
|---|
| 863 | dt(1,2)=dt(1,2)-fluxv(1)*ts(1,2) |
|---|
| 864 | ELSE |
|---|
| 865 | dt(1,1)=dt(1,1)+fluxv(1)*ts(1,1) |
|---|
| 866 | dt(1,2)=dt(1,2)-fluxv(1)*ts(1,1) |
|---|
| 867 | ENDIF |
|---|
| 868 | dt(1,:)=dt(1,:)/apoln |
|---|
| 869 | dt(ip1jmp1,:)=-SUM(fluxtm(ip1jm-iim:ip1jm-1,:),dim=1) |
|---|
| 870 | IF (fluxv(ip1jmp1).GT.0.) THEN |
|---|
| 871 | dt(ip1jmp1,1)=dt(ip1jmp1,1)+fluxv(ip1jmp1)*ts(ip1jmp1,2) |
|---|
| 872 | dt(ip1jmp1,2)=dt(ip1jmp1,2)-fluxv(ip1jmp1)*ts(ip1jmp1,2) |
|---|
| 873 | ELSE |
|---|
| 874 | dt(ip1jmp1,1)=dt(ip1jmp1,1)+fluxv(ip1jmp1)*ts(ip1jmp1,1) |
|---|
| 875 | dt(ip1jmp1,2)=dt(ip1jmp1,2)-fluxv(ip1jmp1)*ts(ip1jmp1,1) |
|---|
| 876 | ENDIF |
|---|
| 877 | dt(ip1jmp1,:)=dt(ip1jmp1,:)/apols |
|---|
| 878 | dt(2:iip1,1)=dt(1,1) |
|---|
| 879 | dt(2:iip1,2)=dt(1,2) |
|---|
| 880 | dt(ip1jm+1:ip1jmp1,1)=dt(ip1jmp1,1) |
|---|
| 881 | dt(ip1jm+1:ip1jmp1,2)=dt(ip1jmp1,2) |
|---|
| 882 | |
|---|
| 883 | ! T tendency back to 1D grid... |
|---|
| 884 | CALL gr_dyn_fi(2,iip1,jjp1,dt,dt_phy) |
|---|
| 885 | |
|---|
| 886 | RETURN |
|---|
| 887 | END SUBROUTINE slab_gmdiff |
|---|
| 888 | |
|---|
| 889 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
|---|
| 890 | |
|---|
| 891 | SUBROUTINE gr_fi_dyn(nfield,im,jm,pfi,pdyn) |
|---|
| 892 | ! Transfer a variable from 1D "physics" grid to 2D "dynamics" grid |
|---|
| 893 | IMPLICIT NONE |
|---|
| 894 | |
|---|
| 895 | INTEGER,INTENT(IN) :: im,jm,nfield |
|---|
| 896 | REAL,INTENT(IN) :: pfi(klon_glo,nfield) ! on 1D grid |
|---|
| 897 | REAL,INTENT(OUT) :: pdyn(im,jm,nfield) ! on 2D grid |
|---|
| 898 | |
|---|
| 899 | INTEGER :: i,j,ifield,ig |
|---|
| 900 | |
|---|
| 901 | DO ifield=1,nfield |
|---|
| 902 | ! Handle poles |
|---|
| 903 | DO i=1,im |
|---|
| 904 | pdyn(i,1,ifield)=pfi(1,ifield) |
|---|
| 905 | pdyn(i,jm,ifield)=pfi(klon_glo,ifield) |
|---|
| 906 | ENDDO |
|---|
| 907 | ! Other points |
|---|
| 908 | DO j=2,jm-1 |
|---|
| 909 | ig=2+(j-2)*(im-1) |
|---|
| 910 | CALL SCOPY(im-1,pfi(ig,ifield),1,pdyn(1,j,ifield),1) |
|---|
| 911 | pdyn(im,j,ifield)=pdyn(1,j,ifield) |
|---|
| 912 | ENDDO |
|---|
| 913 | ENDDO ! of DO ifield=1,nfield |
|---|
| 914 | |
|---|
| 915 | END SUBROUTINE gr_fi_dyn |
|---|
| 916 | |
|---|
| 917 | SUBROUTINE gr_dyn_fi(nfield,im,jm,pdyn,pfi) |
|---|
| 918 | ! Transfer a variable from 2D "dynamics" grid to 1D "physics" grid |
|---|
| 919 | IMPLICIT NONE |
|---|
| 920 | |
|---|
| 921 | INTEGER,INTENT(IN) :: im,jm,nfield |
|---|
| 922 | REAL,INTENT(IN) :: pdyn(im,jm,nfield) ! on 2D grid |
|---|
| 923 | REAL,INTENT(OUT) :: pfi(klon_glo,nfield) ! on 1D grid |
|---|
| 924 | |
|---|
| 925 | INTEGER j,ifield,ig |
|---|
| 926 | |
|---|
| 927 | ! Sanity check: |
|---|
| 928 | IF(klon_glo.NE.2+(jm-2)*(im-1)) THEN |
|---|
| 929 | WRITE(*,*) "gr_dyn_fi error, wrong sizes" |
|---|
| 930 | STOP |
|---|
| 931 | ENDIF |
|---|
| 932 | |
|---|
| 933 | ! Handle poles |
|---|
| 934 | CALL SCOPY(nfield,pdyn,im*jm,pfi,klon_glo) |
|---|
| 935 | CALL SCOPY(nfield,pdyn(1,jm,1),im*jm,pfi(klon_glo,1),klon_glo) |
|---|
| 936 | ! Other points |
|---|
| 937 | DO ifield=1,nfield |
|---|
| 938 | DO j=2,jm-1 |
|---|
| 939 | ig=2+(j-2)*(im-1) |
|---|
| 940 | CALL SCOPY(im-1,pdyn(1,j,ifield),1,pfi(ig,ifield),1) |
|---|
| 941 | ENDDO |
|---|
| 942 | ENDDO |
|---|
| 943 | |
|---|
| 944 | END SUBROUTINE gr_dyn_fi |
|---|
| 945 | |
|---|
| 946 | SUBROUTINE grad(klevel,pg,pgx,pgy) |
|---|
| 947 | ! compute the covariant components pgx,pgy of the gradient of pg |
|---|
| 948 | ! pgx = d(pg)/dx * delta(x) = delta(pg) |
|---|
| 949 | IMPLICIT NONE |
|---|
| 950 | |
|---|
| 951 | INTEGER,INTENT(IN) :: klevel |
|---|
| 952 | REAL,INTENT(IN) :: pg((nbp_lon+1)*nbp_lat,klevel) |
|---|
| 953 | REAL,INTENT(OUT) :: pgx((nbp_lon+1)*nbp_lat,klevel) |
|---|
| 954 | REAL,INTENT(OUT) :: pgy((nbp_lon+1)*(nbp_lat-1),klevel) |
|---|
| 955 | |
|---|
| 956 | INTEGER :: l,ij |
|---|
| 957 | INTEGER :: iim,iip1,ip1jm,ip1jmp1 |
|---|
| 958 | |
|---|
| 959 | iim=nbp_lon |
|---|
| 960 | iip1=nbp_lon+1 |
|---|
| 961 | ip1jm=(nbp_lon+1)*(nbp_lat-1) ! = iip1*jjm |
|---|
| 962 | ip1jmp1=(nbp_lon+1)*nbp_lat ! = iip1*jjp1 |
|---|
| 963 | |
|---|
| 964 | DO l=1,klevel |
|---|
| 965 | DO ij=1,ip1jmp1-1 |
|---|
| 966 | pgx(ij,l)=pg(ij+1,l)-pg(ij,l) |
|---|
| 967 | ENDDO |
|---|
| 968 | ! correction for pgx(ip1,j,l) ... |
|---|
| 969 | ! ... pgx(iip1,j,l)=pgx(1,j,l) ... |
|---|
| 970 | DO ij=iip1,ip1jmp1,iip1 |
|---|
| 971 | pgx(ij,l)=pgx(ij-iim,l) |
|---|
| 972 | ENDDO |
|---|
| 973 | DO ij=1,ip1jm |
|---|
| 974 | pgy(ij,l)=pg(ij,l)-pg(ij+iip1,l) |
|---|
| 975 | ENDDO |
|---|
| 976 | ENDDO |
|---|
| 977 | |
|---|
| 978 | END SUBROUTINE grad |
|---|
| 979 | |
|---|
| 980 | SUBROUTINE diverg(klevel,x,y,div) |
|---|
| 981 | ! computes the divergence of a vector field of components |
|---|
| 982 | ! x,y. x and y being covariant components |
|---|
| 983 | IMPLICIT NONE |
|---|
| 984 | |
|---|
| 985 | INTEGER,INTENT(IN) :: klevel |
|---|
| 986 | REAL,INTENT(IN) :: x((nbp_lon+1)*nbp_lat,klevel) |
|---|
| 987 | REAL,INTENT(IN) :: y((nbp_lon+1)*(nbp_lat-1),klevel) |
|---|
| 988 | REAL,INTENT(OUT) :: div((nbp_lon+1)*nbp_lat,klevel) |
|---|
| 989 | |
|---|
| 990 | INTEGER :: l,ij |
|---|
| 991 | INTEGER :: iim,iip1,iip2,ip1jm,ip1jmp1,ip1jmi1 |
|---|
| 992 | |
|---|
| 993 | REAL :: aiy1(nbp_lon+1),aiy2(nbp_lon+1) |
|---|
| 994 | REAL :: sumypn,sumyps |
|---|
| 995 | REAL,EXTERNAL :: SSUM |
|---|
| 996 | |
|---|
| 997 | iim=nbp_lon |
|---|
| 998 | iip1=nbp_lon+1 |
|---|
| 999 | iip2=nbp_lon+2 |
|---|
| 1000 | ip1jm=(nbp_lon+1)*(nbp_lat-1) ! = iip1*jjm |
|---|
| 1001 | ip1jmp1=(nbp_lon+1)*nbp_lat ! = iip1*jjp1 |
|---|
| 1002 | ip1jmi1=(nbp_lon+1)*(nbp_lat-1)-(nbp_lon+1) ! = ip1jm - iip1 |
|---|
| 1003 | |
|---|
| 1004 | DO l=1,klevel |
|---|
| 1005 | DO ij=iip2,ip1jm-1 |
|---|
| 1006 | div(ij+1,l)= & |
|---|
| 1007 | cvusurcu(ij+1)*x(ij+1,l)-cvusurcu(ij)*x(ij,l)+ & |
|---|
| 1008 | cuvsurcv(ij-iim)*y(ij-iim,l)-cuvsurcv(ij+1)*y(ij+1,l) |
|---|
| 1009 | ENDDO |
|---|
| 1010 | ! correction for div(1,j,l) ... |
|---|
| 1011 | ! ... div(1,j,l)= div(iip1,j,l) ... |
|---|
| 1012 | DO ij=iip2,ip1jm,iip1 |
|---|
| 1013 | div(ij,l)=div(ij+iim,l) |
|---|
| 1014 | ENDDO |
|---|
| 1015 | ! at the poles |
|---|
| 1016 | DO ij=1,iim |
|---|
| 1017 | aiy1(ij)=cuvsurcv(ij)*y(ij,l) |
|---|
| 1018 | aiy2(ij)=cuvsurcv(ij+ip1jmi1)*y(ij+ip1jmi1,l) |
|---|
| 1019 | ENDDO |
|---|
| 1020 | sumypn=SSUM(iim,aiy1,1)/apoln |
|---|
| 1021 | sumyps=SSUM(iim,aiy2,1)/apols |
|---|
| 1022 | DO ij=1,iip1 |
|---|
| 1023 | div(ij,l)=-sumypn |
|---|
| 1024 | div(ij+ip1jm,l)=sumyps |
|---|
| 1025 | ENDDO |
|---|
| 1026 | ! End (poles) |
|---|
| 1027 | ENDDO ! of DO l=1,klevel |
|---|
| 1028 | |
|---|
| 1029 | !!! CALL filtreg( div, jjp1, klevel, 2, 2, .TRUE., 1 ) |
|---|
| 1030 | DO l=1,klevel |
|---|
| 1031 | DO ij=iip2,ip1jm |
|---|
| 1032 | div(ij,l)=div(ij,l)*unsaire(ij) |
|---|
| 1033 | ENDDO |
|---|
| 1034 | ENDDO |
|---|
| 1035 | |
|---|
| 1036 | END SUBROUTINE diverg |
|---|
| 1037 | |
|---|
| 1038 | SUBROUTINE gr_v_scal(nx,x_v,x_scal) |
|---|
| 1039 | ! convert values from v points to scalar points on C-grid |
|---|
| 1040 | ! used to compute unsfu, unseu (u points, but depends only on latitude) |
|---|
| 1041 | IMPLICIT NONE |
|---|
| 1042 | |
|---|
| 1043 | INTEGER,INTENT(IN) :: nx ! number of levels or fields |
|---|
| 1044 | REAL,INTENT(IN) :: x_v((nbp_lon+1)*(nbp_lat-1),nx) |
|---|
| 1045 | REAL,INTENT(OUT) :: x_scal((nbp_lon+1)*nbp_lat,nx) |
|---|
| 1046 | |
|---|
| 1047 | INTEGER :: l,ij |
|---|
| 1048 | INTEGER :: iip1,iip2,ip1jm,ip1jmp1 |
|---|
| 1049 | |
|---|
| 1050 | iip1=nbp_lon+1 |
|---|
| 1051 | iip2=nbp_lon+2 |
|---|
| 1052 | ip1jm=(nbp_lon+1)*(nbp_lat-1) ! = iip1*jjm |
|---|
| 1053 | ip1jmp1=(nbp_lon+1)*nbp_lat ! = iip1*jjp1 |
|---|
| 1054 | |
|---|
| 1055 | DO l=1,nx |
|---|
| 1056 | DO ij=iip2,ip1jm |
|---|
| 1057 | x_scal(ij,l)= & |
|---|
| 1058 | (airev(ij-iip1)*x_v(ij-iip1,l)+airev(ij)*x_v(ij,l)) & |
|---|
| 1059 | /(airev(ij-iip1)+airev(ij)) |
|---|
| 1060 | ENDDO |
|---|
| 1061 | DO ij=1,iip1 |
|---|
| 1062 | x_scal(ij,l)=0. |
|---|
| 1063 | ENDDO |
|---|
| 1064 | DO ij=ip1jm+1,ip1jmp1 |
|---|
| 1065 | x_scal(ij,l)=0. |
|---|
| 1066 | ENDDO |
|---|
| 1067 | ENDDO |
|---|
| 1068 | |
|---|
| 1069 | END SUBROUTINE gr_v_scal |
|---|
| 1070 | |
|---|
| 1071 | SUBROUTINE gr_scal_v(nx,x_scal,x_v) |
|---|
| 1072 | ! convert values from scalar points to v points on C-grid |
|---|
| 1073 | ! used to compute wind stress at V points |
|---|
| 1074 | IMPLICIT NONE |
|---|
| 1075 | |
|---|
| 1076 | INTEGER,INTENT(IN) :: nx ! number of levels or fields |
|---|
| 1077 | REAL,INTENT(OUT) :: x_v((nbp_lon+1)*(nbp_lat-1),nx) |
|---|
| 1078 | REAL,INTENT(IN) :: x_scal((nbp_lon+1)*nbp_lat,nx) |
|---|
| 1079 | |
|---|
| 1080 | INTEGER :: l,ij |
|---|
| 1081 | INTEGER :: iip1,ip1jm |
|---|
| 1082 | |
|---|
| 1083 | iip1=nbp_lon+1 |
|---|
| 1084 | ip1jm=(nbp_lon+1)*(nbp_lat-1) ! = iip1*jjm |
|---|
| 1085 | |
|---|
| 1086 | DO l=1,nx |
|---|
| 1087 | DO ij=1,ip1jm |
|---|
| 1088 | x_v(ij,l)= & |
|---|
| 1089 | (cu(ij)*cvusurcu(ij)*x_scal(ij,l)+ & |
|---|
| 1090 | cu(ij+iip1)*cvusurcu(ij+iip1)*x_scal(ij+iip1,l)) & |
|---|
| 1091 | /(cu(ij)*cvusurcu(ij)+cu(ij+iip1)*cvusurcu(ij+iip1)) |
|---|
| 1092 | ENDDO |
|---|
| 1093 | ENDDO |
|---|
| 1094 | |
|---|
| 1095 | END SUBROUTINE gr_scal_v |
|---|
| 1096 | |
|---|
| 1097 | SUBROUTINE gr_scal_u(nx,x_scal,x_u) |
|---|
| 1098 | ! convert values from scalar points to U points on C-grid |
|---|
| 1099 | ! used to compute wind stress at U points |
|---|
| 1100 | IMPLICIT NONE |
|---|
| 1101 | |
|---|
| 1102 | INTEGER,INTENT(IN) :: nx |
|---|
| 1103 | REAL,INTENT(OUT) :: x_u((nbp_lon+1)*nbp_lat,nx) |
|---|
| 1104 | REAL,INTENT(IN) :: x_scal((nbp_lon+1)*nbp_lat,nx) |
|---|
| 1105 | |
|---|
| 1106 | INTEGER :: l,ij |
|---|
| 1107 | INTEGER :: iip1,jjp1,ip1jmp1 |
|---|
| 1108 | |
|---|
| 1109 | iip1=nbp_lon+1 |
|---|
| 1110 | jjp1=nbp_lat |
|---|
| 1111 | ip1jmp1=(nbp_lon+1)*nbp_lat ! = iip1*jjp1 |
|---|
| 1112 | |
|---|
| 1113 | DO l=1,nx |
|---|
| 1114 | DO ij=1,ip1jmp1-1 |
|---|
| 1115 | x_u(ij,l)= & |
|---|
| 1116 | (aire(ij)*x_scal(ij,l)+aire(ij+1)*x_scal(ij+1,l)) & |
|---|
| 1117 | /(aire(ij)+aire(ij+1)) |
|---|
| 1118 | ENDDO |
|---|
| 1119 | ENDDO |
|---|
| 1120 | |
|---|
| 1121 | CALL SCOPY(nx*jjp1,x_u(1,1),iip1,x_u(iip1,1),iip1) |
|---|
| 1122 | |
|---|
| 1123 | END SUBROUTINE gr_scal_u |
|---|
| 1124 | |
|---|
| 1125 | END MODULE slab_heat_transp_mod |
|---|
