| 1 | MODULE sbcblk_mfs |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE sbcblk_mfs *** |
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| 4 | !! Ocean forcing: momentum, heat and freshwater flux formulation |
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| 5 | !!===================================================================== |
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| 6 | !! History : 3.3 ! 2010-05 (P. Oddo) Original Code |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! sbc_blk_mfs : bulk formulation as ocean surface boundary condition |
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| 11 | !! (forced mode, mfs bulk formulae) |
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| 12 | !! blk_oce_mfs : ocean: computes momentum, heat and freshwater fluxes |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | USE oce ! ocean dynamics and tracers |
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| 15 | USE dom_oce ! ocean space and time domain |
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| 16 | USE phycst ! physical constants |
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| 17 | USE fldread ! read input fields |
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| 18 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 19 | USE iom ! I/O manager library |
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| 20 | USE in_out_manager ! I/O manager |
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| 21 | USE lib_mpp ! distribued memory computing library |
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| 22 | USE wrk_nemo ! work arrays |
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| 23 | USE timing ! Timing |
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| 24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 25 | USE prtctl ! Print control |
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| 26 | USE sbcwave,ONLY : cdn_wave !wave module |
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| 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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| 31 | PUBLIC sbc_blk_mfs ! routine called in sbcmod module |
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| 32 | |
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| 33 | INTEGER , PARAMETER :: jpfld = 7 ! maximum number of files to read |
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| 34 | INTEGER , PARAMETER :: jp_wndi = 1 ! index of 10m wind velocity (i-component) (m/s) at T-point |
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| 35 | INTEGER , PARAMETER :: jp_wndj = 2 ! index of 10m wind velocity (j-component) (m/s) at T-point |
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| 36 | INTEGER , PARAMETER :: jp_clc = 3 ! index of total cloud cover ( % ) |
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| 37 | INTEGER , PARAMETER :: jp_msl = 4 ! index of mean sea level pressure (Pa) |
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| 38 | INTEGER , PARAMETER :: jp_tair = 5 ! index of 10m air temperature (Kelvin) |
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| 39 | INTEGER , PARAMETER :: jp_rhm = 6 ! index of dew point temperature (Kelvin) |
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| 40 | INTEGER , PARAMETER :: jp_prec = 7 ! index of total precipitation (rain+snow) (Kg/m2/s) |
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| 41 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf ! structure of input fields (file informations, fields read) |
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| 42 | LOGICAL :: ln_msf_sio ! single processor read flag |
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| 43 | |
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| 44 | !! * Substitutions |
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| 45 | # include "domzgr_substitute.h90" |
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| 46 | # include "vectopt_loop_substitute.h90" |
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| 47 | !!---------------------------------------------------------------------- |
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| 48 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
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| 49 | !! $Id$ |
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| 50 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 51 | !!---------------------------------------------------------------------- |
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| 52 | |
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| 53 | CONTAINS |
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| 54 | |
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| 55 | |
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| 56 | SUBROUTINE sbc_blk_mfs( kt ) |
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| 57 | !!--------------------------------------------------------------------- |
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| 58 | !! *** ROUTINE sbc_blk_mfs *** |
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| 59 | !! |
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| 60 | !! ** Purpose : provide at each time step the surface ocean fluxes |
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| 61 | !! (momentum, heat, freshwater, runoff is added later in the code) |
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| 62 | !! |
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| 63 | !! ** Method : (1) READ Atmospheric data from NetCDF files: |
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| 64 | !! the 10m wind velocity (i-component) (m/s) at T-point |
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| 65 | !! the 10m wind velocity (j-component) (m/s) at T-point |
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| 66 | !! the 2m Dew point Temperature (k) |
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| 67 | !! the Cloud COver (%) |
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| 68 | !! the 2m air temperature (Kelvin) |
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| 69 | !! the Mean Sea Level Preesure (hPa) |
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| 70 | !! the Climatological Precipitation (kg/m2/s) |
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| 71 | !! (2) CALL blk_oce_mfs |
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| 72 | !! |
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| 73 | !! Computes: |
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| 74 | !! Solar Radiation using Reed formula (1975, 1977) |
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| 75 | !! Net Long wave radiation using Bignami et al. (1995) |
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| 76 | !! Latent and Sensible heat using Kondo (1975) |
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| 77 | !! Drag coeff using Hllerman and Rosenstein (1983) |
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| 78 | !! C A U T I O N : never mask the surface stress fields |
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| 79 | !! the stress is assumed to be in the mesh referential |
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| 80 | !! i.e. the (i,j) referential |
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| 81 | !! |
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| 82 | !! ** Action : defined at each time-step at the air-sea interface |
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| 83 | !! - utau, vtau i- and j-component of the wind stress |
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| 84 | !! - taum wind stress module at T-point |
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| 85 | !! - wndm 10m wind module at T-point over free ocean or leads in presence of sea-ice |
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| 86 | !! - qns, qsr non-slor and solar heat flux |
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| 87 | !! - emp evaporation minus precipitation |
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| 88 | !!---------------------------------------------------------------------- |
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| 89 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sh_now ! specific humidity at T-point |
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| 90 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: catm ! Cover |
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| 91 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: alonl ! Lon |
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| 92 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: alatl ! Lat |
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| 93 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: gsst ! SST |
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| 94 | !!--------------------------------------------------------------------- |
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| 95 | !! Local fluxes variables |
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| 96 | !!--------------------------------------------------------------------- |
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| 97 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: qbw ! Net Long wave |
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| 98 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ha ! Sesnible |
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| 99 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: elat ! Latent |
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| 100 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: evap ! evaporation rate |
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| 101 | |
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| 102 | INTEGER, INTENT( in ) :: kt ! ocean time step |
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| 103 | !! |
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| 104 | INTEGER :: ierror ! return error code |
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| 105 | INTEGER :: ifpr ! dummy loop indice |
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| 106 | INTEGER :: jj,ji ! dummy loop arguments |
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| 107 | INTEGER :: ios ! Local integer output status for namelist read |
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| 108 | REAL(wp) :: act_hour |
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| 109 | !!-------------------------------------------------------------------- |
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| 110 | !! Variables for specific humidity computation |
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| 111 | !!-------------------------------------------------------------------- |
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| 112 | REAL(wp) :: onsea,par1,par2 |
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| 113 | DATA onsea,par1,par2 / 0.98, 640380., -5107.4 / |
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| 114 | !! par1 [Kg/m3], par2 [K] |
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| 115 | |
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| 116 | CHARACTER(len=100) :: cn_dir ! Root directory for location of Atmospheric forcing files |
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| 117 | TYPE(FLD_N), DIMENSION(jpfld) :: slf_i ! array of namelist informations on the fields to read |
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| 118 | TYPE(FLD_N) :: sn_wndi, sn_wndj, sn_clc, sn_msl ! informations about the fields to be read |
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| 119 | TYPE(FLD_N) :: sn_tair , sn_rhm, sn_prec ! " " |
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| 120 | !!--------------------------------------------------------------------- |
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| 121 | NAMELIST/namsbc_mfs/ cn_dir , & |
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| 122 | & sn_wndi , sn_wndj, sn_clc , sn_msl , & |
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| 123 | & sn_tair , sn_rhm , sn_prec, ln_msf_sio |
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| 124 | !!--------------------------------------------------------------------- |
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| 125 | ! |
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| 126 | IF( nn_timing == 1 ) CALL timing_start('sbc_blk_mfs') |
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| 127 | ! |
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| 128 | ln_msf_sio = .FALSE. |
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| 129 | ! ! ====================== ! |
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| 130 | IF( kt == nit000 ) THEN ! First call kt=nit000 ! |
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| 131 | ! ! ====================== ! |
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| 132 | ALLOCATE( sh_now(jpi,jpj), catm(jpi,jpj), alonl(jpi,jpj), alatl(jpi,jpj), & |
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| 133 | & gsst(jpi,jpj), qbw(jpi,jpj), ha(jpi,jpj), elat(jpi,jpj), & |
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| 134 | & evap(jpi,jpj), STAT=ierror ) |
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| 135 | |
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| 136 | IF( ierror /= 0 ) CALL ctl_warn('sbc_blk_mfs: failed to allocate arrays') |
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| 137 | |
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| 138 | REWIND( numnam_ref ) ! Namelist namsbc_msf in reference namelist : MFS files |
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| 139 | READ ( numnam_ref, namsbc_mfs, IOSTAT = ios, ERR = 901) |
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| 140 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_mfs in reference namelist', lwp ) |
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| 141 | |
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| 142 | REWIND( numnam_cfg ) ! Namelist namsbc_msf in configuration namelist : MFS files |
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| 143 | READ ( numnam_cfg, namsbc_mfs, IOSTAT = ios, ERR = 902 ) |
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| 144 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_mfs in configuration namelist', lwp ) |
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| 145 | IF(lwm) WRITE ( numond, namsbc_mfs ) |
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| 146 | ! |
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| 147 | ! store namelist information in an array |
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| 148 | slf_i(jp_wndi) = sn_wndi ; slf_i(jp_wndj) = sn_wndj |
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| 149 | slf_i(jp_clc ) = sn_clc ; slf_i(jp_msl ) = sn_msl |
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| 150 | slf_i(jp_tair) = sn_tair ; slf_i(jp_rhm) = sn_rhm |
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| 151 | slf_i(jp_prec) = sn_prec ; |
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| 152 | ! |
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| 153 | ALLOCATE( sf(jpfld), STAT=ierror ) ! set sf structure |
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| 154 | IF( ierror > 0 ) THEN |
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| 155 | CALL ctl_stop( 'sbc_blk_mfs: unable to allocate sf structure' ) ; RETURN |
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| 156 | ENDIF |
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| 157 | DO ifpr= 1, jpfld |
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| 158 | ALLOCATE( sf(ifpr)%fnow(jpi,jpj,1) ) |
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| 159 | IF( slf_i(ifpr)%ln_tint ) ALLOCATE( sf(ifpr)%fdta(jpi,jpj,1,2) ) |
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| 160 | END DO |
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| 161 | ! fill sf with slf_i and control print |
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| 162 | CALL fld_fill( sf, slf_i, cn_dir,'sbc_blk_mfs','bulk formulation for ocean SBC', 'namsbc_mfs' ) |
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| 163 | ! |
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| 164 | ENDIF |
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| 165 | lspr = ln_msf_sio |
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| 166 | CALL fld_read( kt, nn_fsbc, sf ) ! input fields provided at the current time-step |
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| 167 | lspr = .false. |
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| 168 | |
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| 169 | catm(:,:) = 0.0 ! initializze cloud cover variable |
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| 170 | sh_now(:,:) = 0.0 ! initializze specifif humidity variable |
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| 171 | |
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| 172 | DO jj = 2, jpjm1 |
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| 173 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 174 | |
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| 175 | ! Calculate Specific Humidity |
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| 176 | !------------------------------------------------- |
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| 177 | sh_now(ji,jj) = (1/1.22) * onsea * par1 * EXP(par2/sf(jp_rhm)%fnow(ji,jj,1)) |
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| 178 | |
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| 179 | ! Normalize Clouds |
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| 180 | !------------------------------------------------- |
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| 181 | catm(ji,jj) = max(0.0,min(1.0,sf(jp_clc)%fnow(ji,jj,1)*0.01)) |
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| 182 | |
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| 183 | END DO |
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| 184 | END DO |
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| 185 | |
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| 186 | ! wind module at 10m |
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| 187 | !-------------------------------------------------- |
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| 188 | wndm(:,:) = SQRT( sf(jp_wndi)%fnow(:,:,1) * sf(jp_wndi)%fnow(:,:,1) & |
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| 189 | & + sf(jp_wndj)%fnow(:,:,1) * sf(jp_wndj)%fnow(:,:,1) ) |
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| 190 | |
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| 191 | ! Some conv for fluxes computation |
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| 192 | !------------------------------------------------- |
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| 193 | alonl(:,:) = glamt(:,:) * rad |
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| 194 | alatl(:,:) = gphit(:,:) * rad |
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| 195 | gsst(:,:) = tsn(:,:,1,jp_tem) * tmask(:,:,1) |
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| 196 | |
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| 197 | IF( MOD( kt - 1, nn_fsbc ) == 0 ) THEN |
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| 198 | |
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| 199 | ! Force to zero the output of fluxes |
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| 200 | !------------------------------------------------- |
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| 201 | qsr(:,:) = 0.0 ; qbw(:,:) = 0.0 ; |
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| 202 | ha(:,:) = 0.0 ; elat(:,:) = 0.0 ; |
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| 203 | evap(:,:) = 0.0 ; utau(:,:) = 0.0 ; |
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| 204 | vtau(:,:) = 0.0 |
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| 205 | |
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| 206 | CALL lbc_lnk( sf(jp_wndi)%fnow(:,:,1), 'T', -1. ) |
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| 207 | CALL lbc_lnk( sf(jp_wndj)%fnow(:,:,1), 'T', -1. ) |
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| 208 | |
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| 209 | act_hour = (( nsec_year / rday ) - INT (nsec_year / rday)) * rjjhh |
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| 210 | |
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| 211 | CALL fluxes_mfs(alatl,alonl,act_hour, & ! input static |
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| 212 | gsst(:,:),sf(jp_tair)%fnow(:,:,1),sh_now(:,:), & ! input dynamic |
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| 213 | sf(jp_wndi)%fnow(:,:,1), sf(jp_wndj)%fnow(:,:,1), & ! input dynamic |
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| 214 | sf(jp_msl)%fnow(:,:,1) , catm(:,:) , & ! input dynamic |
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| 215 | qsr,qbw,ha,elat,evap,utau,vtau) ! output |
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| 216 | |
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| 217 | ! Shortwave radiation |
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| 218 | !-------------------------------------------------- |
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| 219 | qsr(:,:) = qsr(:,:) * tmask(:,:,1) |
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| 220 | |
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| 221 | ! total non solar heat flux over water |
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| 222 | !-------------------------------------------------- |
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| 223 | qns(:,:) = -1. * ( qbw(:,:) + ha(:,:) + elat(:,:) ) |
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| 224 | qns(:,:) = qns(:,:)*tmask(:,:,1) |
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| 225 | |
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| 226 | ! mask the wind module at 10m |
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| 227 | !-------------------------------------------------- |
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| 228 | wndm(:,:) = wndm(:,:) * tmask(:,:,1) |
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| 229 | |
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| 230 | ! wind stress module (taum) into T-grid |
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| 231 | !-------------------------------------------------- |
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| 232 | taum(:,:) = SQRT( utau(:,:) * utau(:,:) + vtau(:,:) * vtau(:,:) ) * tmask(:,:,1) |
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| 233 | |
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| 234 | CALL lbc_lnk( taum, 'T', 1. ) |
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| 235 | |
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| 236 | ! Interpolate utau, vtau into the grid_V and grid_V |
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| 237 | !------------------------------------------------- |
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| 238 | ! Note the use of 0.5*(2-umask) in order to unmask the stress along coastlines |
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| 239 | ! Note the use of MAX(tmask(i,j),tmask(i+1,j) is to mask tau over ice shelves |
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| 240 | DO jj = 1, jpjm1 |
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| 241 | DO ji = 1, fs_jpim1 |
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| 242 | utau(ji,jj) = 0.5 * ( 2. - umask(ji,jj,1) ) * ( utau(ji,jj) * tmask(ji,jj,1) & |
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| 243 | & + utau(ji+1,jj) * tmask(ji+1,jj,1) ) & |
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| 244 | & * MAX(tmask(ji,jj,1),tmask(ji+1,jj ,1)) |
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| 245 | vtau(ji,jj) = 0.5 * ( 2. - vmask(ji,jj,1) ) * ( vtau(ji,jj) * tmask(ji,jj,1) & |
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| 246 | & + vtau(ji,jj+1) * tmask(ji,jj+1,1) ) & |
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| 247 | & * MAX(tmask(ji,jj,1),tmask(ji ,jj+1,1)) |
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| 248 | END DO |
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| 249 | END DO |
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| 250 | |
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| 251 | CALL lbc_lnk( utau(:,:), 'U', -1. ) |
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| 252 | CALL lbc_lnk( vtau(:,:), 'V', -1. ) |
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| 253 | |
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| 254 | ! for basin budget and cooerence |
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| 255 | !-------------------------------------------------- |
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| 256 | !CDIR COLLAPSE |
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| 257 | emp (:,:) = evap(:,:) - sf(jp_prec)%fnow(:,:,1) * tmask(:,:,1) |
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| 258 | !CDIR COLLAPSE |
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| 259 | |
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| 260 | CALL iom_put( "qlw_oce", qbw ) ! output downward longwave heat over the ocean |
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| 261 | CALL iom_put( "qsb_oce", - ha ) ! output downward sensible heat over the ocean |
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| 262 | CALL iom_put( "qla_oce", - elat ) ! output downward latent heat over the ocean |
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| 263 | CALL iom_put( "qns_oce", qns ) ! output downward non solar heat over the ocean |
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| 264 | |
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| 265 | ENDIF |
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| 266 | ! |
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| 267 | IF( nn_timing == 1 ) CALL timing_stop('sbc_blk_mfs') |
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| 268 | ! |
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| 269 | END SUBROUTINE sbc_blk_mfs |
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| 270 | |
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| 271 | |
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| 272 | SUBROUTINE fluxes_mfs(alat,alon,hour, & |
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| 273 | sst,tnow,shnow,unow,vnow,mslnow,cldnow,qsw,qbw,ha,elat, & |
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| 274 | evap,taux,tauy) |
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| 275 | !!---------------------------------------------------------------------- |
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| 276 | !! *** ROUTINE fluxes_mfs *** |
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| 277 | !! |
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| 278 | !! --- it provides SURFACE HEAT and MOMENTUM FLUXES in MKS : |
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| 279 | !! |
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| 280 | !! 1) Water flux (WFLUX) [ watt/m*m ] |
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| 281 | !! 2) Short wave flux (QSW) [ watt/m*m ] Reed 1977 |
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| 282 | !! 3) Long wave flux backward (QBW) [ watt/m*m ] |
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| 283 | !! 4) Latent heat of evaporation (ELAT) [ watt/m*m ] |
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| 284 | !! 5) Sensible heat flux (HA) [ watt/m*m ] |
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| 285 | !! 6) Wind stress x-component (TAUX) [ newton/m*m ] |
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| 286 | !! 7) Wind stress y-component (TAUY) [ newton/m*m ] |
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| 287 | !! |
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| 288 | !!---------------------------------------------------------------------- |
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| 289 | USE sbcblk_core, ONLY: turb_core_2z ! For wave coupling and Tair/rh from 2 to 10m |
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| 290 | |
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| 291 | REAL(wp), INTENT(in ) :: hour |
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| 292 | REAL(wp), INTENT(in ), DIMENSION (:,:) :: sst, unow, alat , alon |
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| 293 | REAL(wp), INTENT(in ), DIMENSION (:,:) :: vnow, cldnow, mslnow |
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| 294 | REAL(wp), INTENT(out ), DIMENSION (:,:) :: qsw, qbw, ha, elat |
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| 295 | REAL(wp), INTENT(out ), DIMENSION (:,:) :: evap,taux,tauy |
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| 296 | REAL(wp), INTENT(inout), DIMENSION (:,:) :: tnow , shnow |
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| 297 | |
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| 298 | INTEGER :: ji,jj |
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| 299 | REAL(wp) :: wair, vtnow, ea, deltemp, s, stp , fh , fe |
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| 300 | REAL(wp) :: esre, cseep |
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| 301 | |
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| 302 | REAL(wp), DIMENSION (:,:), POINTER :: rspeed, sh10now, t10now, cdx, ce, shms |
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| 303 | REAL(wp), DIMENSION (:,:), POINTER :: rhom, sstk, ch, rel_windu, rel_windv |
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| 304 | !!---------------------------------------------------------------------- |
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| 305 | !! coefficients ( in MKS ) : |
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| 306 | !!---------------------------------------------------------------------- |
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| 307 | |
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| 308 | REAL(wp), PARAMETER :: ps = 1013. ! --- surface air pressure |
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| 309 | REAL(wp), PARAMETER :: expsi=0.622 ! --- expsi |
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| 310 | REAL(wp), PARAMETER :: rd=287. ! --- dry air gas constant |
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| 311 | REAL(wp), PARAMETER :: cp=1005. ! --- specific heat capacity |
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| 312 | REAL(wp), PARAMETER :: onsea=0.98 ! --- specific humidity factors |
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| 313 | REAL(wp), PARAMETER :: par1=640380. ! [Kg/m3] |
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| 314 | REAL(wp), PARAMETER :: par2=-5107.4 ! [K] |
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| 315 | |
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| 316 | !--------------------------------------------------------------------- |
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| 317 | !--- define Kondo parameters |
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| 318 | !--------------------------------------------------------------------- |
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| 319 | |
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| 320 | REAL(wp), DIMENSION(5) :: a_h = (/0.0,0.927,1.15,1.17,1.652/) |
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| 321 | REAL(wp), DIMENSION(5) :: a_e = (/0.0,0.969,1.18,1.196,1.68/) |
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| 322 | REAL(wp), DIMENSION(5) :: b_h = (/1.185,0.0546,0.01,0.0075,-0.017/) |
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| 323 | REAL(wp), DIMENSION(5) :: b_e = (/1.23,0.0521,0.01,0.008,-0.016/) |
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| 324 | REAL(wp), DIMENSION(5) :: c_h = (/0.0,0.0,0.0,-0.00045,0.0/) |
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| 325 | REAL(wp), DIMENSION(5) :: c_e = (/0.0,0.0,0.0,-0.0004,0.0/) |
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| 326 | REAL(wp), DIMENSION(5) :: p_h = (/-0.157,1.0,1.0,1.0,1.0/) |
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| 327 | REAL(wp), DIMENSION(5) :: p_e = (/-0.16,1.0,1.0,1.0,1.0/) |
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| 328 | INTEGER :: kku !index varing with wind speed |
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| 329 | ! |
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| 330 | IF( nn_timing == 1 ) CALL timing_start('fluxes_mfs') |
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| 331 | ! |
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| 332 | CALL wrk_alloc( jpi,jpj, rspeed, sh10now, t10now, cdx, ce, shms ) |
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| 333 | CALL wrk_alloc( jpi,jpj, rhom, sstk, ch, rel_windu, rel_windv ) |
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| 334 | |
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| 335 | !!---------------------------------------------------------------------- |
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| 336 | !! ------------------ (i) short wave |
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| 337 | !!---------------------------------------------------------------------- |
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| 338 | |
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| 339 | CALL qshort(hour,alat,alon,cldnow,qsw) |
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| 340 | |
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| 341 | rel_windu(:,:) = 0.0_wp |
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| 342 | rel_windv(:,:) = 0.0_wp |
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| 343 | |
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| 344 | DO jj = 2, jpj |
|---|
| 345 | DO ji = fs_2, jpi |
|---|
| 346 | rel_windu(ji,jj) = unow(ji,jj) - 0.5_wp * ( ssu_m(ji-1,jj) + ssu_m(ji,jj) ) |
|---|
| 347 | rel_windv(ji,jj) = vnow(ji,jj) - 0.5_wp * ( ssv_m(ji,jj-1) + ssv_m(ji,jj) ) |
|---|
| 348 | END DO |
|---|
| 349 | END DO |
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| 350 | |
|---|
| 351 | rspeed(:,:)= SQRT(rel_windu(:,:)*rel_windu(:,:) & |
|---|
| 352 | & + rel_windv(:,:)*rel_windv(:,:)) |
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| 353 | |
|---|
| 354 | sstk(:,:) = sst(:,:) + rtt !- SST data in Kelvin degrees |
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| 355 | shms(:,:) = (1/1.22)*onsea*par1*EXP(par2/sstk(:,:)) !- Saturation Specific Humidity |
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| 356 | |
|---|
| 357 | ! --- Transport temperature and humidity from 2m to 10m |
|---|
| 358 | !---------------------------------------------------------------------- |
|---|
| 359 | |
|---|
| 360 | t10now(:,:) = 0.0 ; sh10now(:,:)= 0.0 |
|---|
| 361 | ! Note that air temp is converted in potential temp |
|---|
| 362 | CALL turb_core_2z(2.,10.,sstk,tnow+2*0.0098,shms,shnow,rspeed, & |
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| 363 | & Cdx,Ch,Ce,t10now,sh10now ) |
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| 364 | tnow(:,:) = t10now(:,:) ; shnow(:,:) = sh10now(:,:) |
|---|
| 365 | |
|---|
| 366 | !!---------------------------------------------------------------------- |
|---|
| 367 | !! ------------------ (ii) net long wave |
|---|
| 368 | !!---------------------------------------------------------------------- |
|---|
| 369 | |
|---|
| 370 | DO jj = 1, jpj |
|---|
| 371 | DO ji = 1, jpi |
|---|
| 372 | wair = shnow(ji,jj) / (1 - shnow(ji,jj)) ! mixing ratio of the air (Wallace and Hobbs) |
|---|
| 373 | vtnow = (tnow(ji,jj)*(expsi+wair))/(expsi*(1.+wair)) ! virtual temperature of air |
|---|
| 374 | rhom(ji,jj) = 100.*(ps/rd)/vtnow ! density of the moist air |
|---|
| 375 | ea = (wair / (wair + 0.622 )) * mslnow(ji,jj) |
|---|
| 376 | |
|---|
| 377 | qbw(ji,jj) = emic*stefan*( sstk(ji,jj)**4. ) & |
|---|
| 378 | - ( stefan*( tnow(ji,jj)**4. ) * ( 0.653 + 0.00535*ea ) ) & |
|---|
| 379 | * ( 1. + 0.1762*( cldnow(ji,jj)**2. ) ) |
|---|
| 380 | |
|---|
| 381 | END DO |
|---|
| 382 | END DO |
|---|
| 383 | |
|---|
| 384 | DO jj = 1, jpj |
|---|
| 385 | DO ji = 1, jpi |
|---|
| 386 | !!---------------------------------------------------------------------- |
|---|
| 387 | !! ------------------ (iii) sensible heat |
|---|
| 388 | !!---------------------------------------------------------------------- |
|---|
| 389 | |
|---|
| 390 | !! --- calculates the term : ( Ts - Ta ) |
|---|
| 391 | !!---------------------------------------------------------------------- |
|---|
| 392 | deltemp = sstk(ji,jj) - tnow (ji,jj) |
|---|
| 393 | |
|---|
| 394 | !!---------------------------------------------------------------------- |
|---|
| 395 | !! --- variable turbulent exchange coefficients ( from Kondo 1975 ) |
|---|
| 396 | !! --- calculate the Neutral Transfer Coefficent using an empiric formula |
|---|
| 397 | !! --- by Kondo et al. Then it applies the diabatic approximation. |
|---|
| 398 | !!---------------------------------------------------------------------- |
|---|
| 399 | |
|---|
| 400 | s = deltemp/(wndm(ji,jj)**2.) !! --- calculate S |
|---|
| 401 | stp = s*abs(s)/(abs(s)+0.01) !! --- calculate the Stability Parameter |
|---|
| 402 | |
|---|
| 403 | !!---------------------------------------------------------------------- |
|---|
| 404 | !! --- for stable condition (sst-t_air < 0): |
|---|
| 405 | !!---------------------------------------------------------------------- |
|---|
| 406 | |
|---|
| 407 | IF (s.lt.0. .and. ((stp.gt.-3.3).and.(stp.lt.0.))) THEN |
|---|
| 408 | fh = 0.1_wp+0.03_wp*stp+0.9_wp*exp(4.8_wp*stp) |
|---|
| 409 | fe = fh |
|---|
| 410 | ELSE IF (s.lt.0. .and. stp.le.-3.3) THEN |
|---|
| 411 | fh = 0._wp |
|---|
| 412 | fe = fh |
|---|
| 413 | ELSE ! --- for unstable condition |
|---|
| 414 | fh = 1.0_wp+0.63_wp*sqrt(stp) |
|---|
| 415 | fe = fh |
|---|
| 416 | ENDIF |
|---|
| 417 | |
|---|
| 418 | !!---------------------------------------------------------------------- |
|---|
| 419 | !! --- calculate the coefficient CH,CE,CD |
|---|
| 420 | !!---------------------------------------------------------------------- |
|---|
| 421 | |
|---|
| 422 | IF (wndm(ji,jj) >= 0. .AND. wndm(ji,jj) <= 2.2) THEN |
|---|
| 423 | kku=1 |
|---|
| 424 | ELSE IF (wndm(ji,jj) > 2.2 .AND. wndm(ji,jj) <= 5.0) THEN |
|---|
| 425 | kku=2 |
|---|
| 426 | ELSE IF (wndm(ji,jj) > 5.0 .AND. wndm(ji,jj) <= 8.0) THEN |
|---|
| 427 | kku=3 |
|---|
| 428 | ELSE IF (wndm(ji,jj) > 8.0 .AND. wndm(ji,jj) <= 25.0) THEN |
|---|
| 429 | kku=4 |
|---|
| 430 | ELSE IF (wndm(ji,jj) > 25.0 ) THEN |
|---|
| 431 | kku=5 |
|---|
| 432 | ENDIF |
|---|
| 433 | |
|---|
| 434 | ch(ji,jj) = ( a_h(kku) + b_h(kku) * wndm(ji,jj) ** p_h(kku) & |
|---|
| 435 | + c_h(kku) * (wndm(ji,jj)-8 ) **2) * fh |
|---|
| 436 | |
|---|
| 437 | ce(ji,jj) = ( a_e(kku) + b_e(kku) * wndm(ji,jj) ** p_e(kku) & |
|---|
| 438 | + c_e(kku) * (wndm(ji,jj)-8 ) **2) * fe |
|---|
| 439 | |
|---|
| 440 | ch(ji,jj) = ch(ji,jj) / 1000.0 |
|---|
| 441 | ce(ji,jj) = ce(ji,jj) / 1000.0 |
|---|
| 442 | |
|---|
| 443 | IF (wndm(ji,jj)<0.3) THEN |
|---|
| 444 | ch(ji,jj) = 1.3e-03 * fh |
|---|
| 445 | ce(ji,jj) = 1.5e-03 * fe |
|---|
| 446 | ELSE IF(wndm(ji,jj)>50.0) THEN |
|---|
| 447 | ch(ji,jj) = 1.25e-03 * fh |
|---|
| 448 | ce(ji,jj) = 1.30e-03 * fe |
|---|
| 449 | ENDIF |
|---|
| 450 | |
|---|
| 451 | !!---------------------------------------------------------------------- |
|---|
| 452 | !! --- calculates the SENSIBLE HEAT FLUX in MKS ( watt/m*m ) |
|---|
| 453 | !!---------------------------------------------------------------------- |
|---|
| 454 | |
|---|
| 455 | HA(ji,jj) = rhom(ji,jj)*cp*ch(ji,jj)*wndm(ji,jj)*deltemp |
|---|
| 456 | |
|---|
| 457 | !!---------------------------------------------------------------------- |
|---|
| 458 | !! ------------------ (iv) latent heat |
|---|
| 459 | !! --- calculates the LATENT HEAT FLUX ( watt/m*m ) |
|---|
| 460 | !! --- ELAT = L*rho*Ce*|V|*[qs(Ts)-qa(t2d)] |
|---|
| 461 | !!---------------------------------------------------------------------- |
|---|
| 462 | |
|---|
| 463 | esre = shms(ji,jj) - shnow(ji,jj) ! --- calculates the term : qs(Ta)-qa(t2d) |
|---|
| 464 | |
|---|
| 465 | cseep = ce(ji,jj) * wndm(ji,jj) * esre ! --- calculates the term : Ce*|V|*[qs(Ts)-qa(t2d)] |
|---|
| 466 | |
|---|
| 467 | evap(ji,jj) = (cseep * rhom(ji,jj)) ! in [kg/m2/sec] !! --- calculates the EVAPORATION RATE [m/yr] |
|---|
| 468 | |
|---|
| 469 | elat(ji,jj) = rhom(ji,jj) * cseep * heatlat(sst(ji,jj)) |
|---|
| 470 | |
|---|
| 471 | !!---------------------------------------------------------------------- |
|---|
| 472 | !! --- calculates the Drag Coefficient |
|---|
| 473 | !!---------------------------------------------------------------------- |
|---|
| 474 | |
|---|
| 475 | !!---------------------------------------------------------------------- |
|---|
| 476 | !! --- deltemp should be (Ts - Ta) in the formula estimating |
|---|
| 477 | !! --- drag coefficient |
|---|
| 478 | !!---------------------------------------------------------------------- |
|---|
| 479 | |
|---|
| 480 | IF( .NOT. ln_cdgw ) THEN |
|---|
| 481 | cdx(ji,jj) = cd_HR(wndm(ji,jj),deltemp) |
|---|
| 482 | ENDIF |
|---|
| 483 | |
|---|
| 484 | END DO |
|---|
| 485 | END DO |
|---|
| 486 | |
|---|
| 487 | !!---------------------------------------------------------------------- |
|---|
| 488 | !! --- calculates the wind stresses in MKS ( newton/m*m ) |
|---|
| 489 | !! --- taux= rho*Cd*|V|u tauy= rho*Cd*|V|v |
|---|
| 490 | !!---------------------------------------------------------------------- |
|---|
| 491 | |
|---|
| 492 | taux(:,:)= rhom(:,:) * cdx(:,:) * rspeed(:,:) * rel_windu(:,:) |
|---|
| 493 | tauy(:,:)= rhom(:,:) * cdx(:,:) * rspeed(:,:) * rel_windv(:,:) |
|---|
| 494 | |
|---|
| 495 | CALL wrk_dealloc( jpi,jpj, rspeed, sh10now, t10now, cdx, ce, shms ) |
|---|
| 496 | CALL wrk_dealloc( jpi,jpj, rhom, sstk, ch, rel_windu, rel_windv ) |
|---|
| 497 | ! |
|---|
| 498 | IF( nn_timing == 1 ) CALL timing_stop('fluxes_mfs') |
|---|
| 499 | ! |
|---|
| 500 | END SUBROUTINE fluxes_mfs |
|---|
| 501 | |
|---|
| 502 | |
|---|
| 503 | REAL(wp) FUNCTION cd_HR(speed,delt) |
|---|
| 504 | !!---------------------------------------------------------------------- |
|---|
| 505 | !! --- calculates the Drag Coefficient as a function of the abs. value |
|---|
| 506 | !! --- of the wind velocity ( Hellermann and Rosenstein ) |
|---|
| 507 | !!---------------------------------------------------------------------- |
|---|
| 508 | |
|---|
| 509 | REAL(wp), INTENT(in) :: speed,delt |
|---|
| 510 | REAL(wp), PARAMETER :: a1=0.934e-3 , a2=0.788e-4, a3=0.868e-4 |
|---|
| 511 | REAL(wp), PARAMETER :: a4=-0.616e-6, a5=-.120e-5, a6=-.214e-5 |
|---|
| 512 | |
|---|
| 513 | cd_HR = a1 + a2*speed + a3*delt + a4*speed*speed & |
|---|
| 514 | + a5*delt*delt + a6*speed*delt |
|---|
| 515 | |
|---|
| 516 | END FUNCTION cd_HR |
|---|
| 517 | |
|---|
| 518 | REAL(wp) function HEATLAT(t) |
|---|
| 519 | !!---------------------------------------------------------------------- |
|---|
| 520 | !! --- calculates the Latent Heat of Vaporization ( J/kg ) as function of |
|---|
| 521 | !! --- the temperature ( Celsius degrees ) |
|---|
| 522 | !! --- ( from A. Gill pag. 607 ) |
|---|
| 523 | !! |
|---|
| 524 | !! --- Constant Latent Heat of Vaporization ( Rosati,Miyakoda 1988 ) |
|---|
| 525 | !! L = 2.501e+6 (MKS) |
|---|
| 526 | !!---------------------------------------------------------------------- |
|---|
| 527 | |
|---|
| 528 | REAL(wp) , intent(in) :: t |
|---|
| 529 | |
|---|
| 530 | heatlat = 2.5008e+6 -2.3e+3*t |
|---|
| 531 | |
|---|
| 532 | END FUNCTION HEATLAT |
|---|
| 533 | |
|---|
| 534 | |
|---|
| 535 | SUBROUTINE qshort(hour,alat,alon,cldnow,qsw) |
|---|
| 536 | !!---------------------------------------------------------------------- |
|---|
| 537 | !! *** ROUTINE qshort *** |
|---|
| 538 | !! |
|---|
| 539 | !! ** Purpose : Compute Solar Radiation |
|---|
| 540 | !! |
|---|
| 541 | !! ** Method : Compute Solar Radiation according Astronomical |
|---|
| 542 | !! formulae |
|---|
| 543 | !! |
|---|
| 544 | !! References : Reed RK (1975) and Reed RK (1977) |
|---|
| 545 | !! |
|---|
| 546 | !! Note: alat,alon - (lat, lon) in radians |
|---|
| 547 | !!---------------------------------------------------------------------- |
|---|
| 548 | REAL(wp), INTENT (in) :: hour |
|---|
| 549 | |
|---|
| 550 | REAL(wp), INTENT(in ), DIMENSION(:,:) :: alat,alon |
|---|
| 551 | REAL(wp), INTENT(in ), DIMENSION(:,:) :: cldnow |
|---|
| 552 | REAL(wp), INTENT(out), DIMENSION(:,:) :: qsw |
|---|
| 553 | REAL(wp), DIMENSION(12) :: alpham |
|---|
| 554 | |
|---|
| 555 | REAL(wp), PARAMETER :: eclips=23.439* (3.141592653589793_wp / 180._wp) |
|---|
| 556 | REAL(wp), PARAMETER :: solar = 1350. |
|---|
| 557 | REAL(wp), PARAMETER :: tau = 0.7 |
|---|
| 558 | REAL(wp), PARAMETER :: aozone = 0.09 |
|---|
| 559 | REAL(wp), PARAMETER :: yrdays = 360. |
|---|
| 560 | REAL(wp) :: days, th0,th02,th03, sundec, thsun, coszen, qatten |
|---|
| 561 | REAL(wp) :: qzer, qdir,qdiff,qtot,tjul,sunbet |
|---|
| 562 | REAL(wp) :: albedo |
|---|
| 563 | INTEGER :: jj, ji |
|---|
| 564 | |
|---|
| 565 | !!---------------------------------------------------------------------- |
|---|
| 566 | !! --- albedo monthly values from Payne (1972) as means of the values |
|---|
| 567 | !! --- at 40N and 30N for the Atlantic Ocean ( hence the same latitudinal |
|---|
| 568 | !! --- band of the Mediterranean Sea ) : |
|---|
| 569 | !!---------------------------------------------------------------------- |
|---|
| 570 | |
|---|
| 571 | data alpham /0.095,0.08,0.065,0.065,0.06,0.06,0.06,0.06, & |
|---|
| 572 | 0.065,0.075,0.09,0.10/ |
|---|
| 573 | |
|---|
| 574 | !!---------------------------------------------------------------------- |
|---|
| 575 | !! days is the number of days elapsed until the day=nday_year |
|---|
| 576 | !!---------------------------------------------------------------------- |
|---|
| 577 | days = nday_year -1. |
|---|
| 578 | th0 = 2.*rpi*days/yrdays |
|---|
| 579 | th02 = 2.*th0 |
|---|
| 580 | th03 = 3.*th0 |
|---|
| 581 | |
|---|
| 582 | !! --- sun declination : |
|---|
| 583 | !!---------------------------------------------------------------------- |
|---|
| 584 | sundec = 0.006918 - 0.399912*cos(th0) + 0.070257*sin(th0) - & |
|---|
| 585 | 0.006758*cos(th02) + 0.000907*sin(th02) - & |
|---|
| 586 | 0.002697*cos(th03) + 0.001480*sin(th03) |
|---|
| 587 | |
|---|
| 588 | DO jj = 1, jpj |
|---|
| 589 | DO ji = 1, jpi |
|---|
| 590 | |
|---|
| 591 | !! --- sun hour angle : |
|---|
| 592 | !!---------------------------------------------------------------------- |
|---|
| 593 | thsun = (hour -12.)*15.*rad + alon(ji,jj) |
|---|
| 594 | |
|---|
| 595 | !! --- cosine of the solar zenith angle : |
|---|
| 596 | !!---------------------------------------------------------------------- |
|---|
| 597 | coszen =sin(alat(ji,jj))*sin(sundec) & |
|---|
| 598 | +cos(alat(ji,jj))*cos(sundec)*cos(thsun) |
|---|
| 599 | |
|---|
| 600 | IF(coszen .LE. 5.035D-04) THEN |
|---|
| 601 | coszen = 0.0 |
|---|
| 602 | qatten = 0.0 |
|---|
| 603 | ELSE |
|---|
| 604 | qatten = tau**(1./coszen) |
|---|
| 605 | END IF |
|---|
| 606 | |
|---|
| 607 | qzer = coszen * solar * & |
|---|
| 608 | (1.0+1.67E-2*cos(rpi*2.*(days-3.0)/365.0))**2 |
|---|
| 609 | qdir = qzer * qatten |
|---|
| 610 | qdiff = ((1.-aozone)*qzer - qdir) * 0.5 |
|---|
| 611 | qtot = qdir + qdiff |
|---|
| 612 | tjul = (days -81.)*rad |
|---|
| 613 | |
|---|
| 614 | !! --- sin of the solar noon altitude in radians : |
|---|
| 615 | !!---------------------------------------------------------------------- |
|---|
| 616 | sunbet=sin(alat(ji,jj))*sin(eclips*sin(tjul)) + & |
|---|
| 617 | cos(alat(ji,jj))*cos(eclips*sin(tjul)) |
|---|
| 618 | |
|---|
| 619 | !! --- solar noon altitude in degrees : |
|---|
| 620 | !!---------------------------------------------------------------------- |
|---|
| 621 | |
|---|
| 622 | sunbet = asin(sunbet)/rad |
|---|
| 623 | |
|---|
| 624 | !!---------------------------------------------------------------------- |
|---|
| 625 | !! --- calculates the albedo according to Payne (1972) |
|---|
| 626 | !!---------------------------------------------------------------------- |
|---|
| 627 | |
|---|
| 628 | albedo = alpham(nmonth) |
|---|
| 629 | |
|---|
| 630 | !!---------------------------------------------------------------------- |
|---|
| 631 | !! --- ( radiation as from Reed(1977), Simpson and Paulson(1979) ) |
|---|
| 632 | !! --- calculates SHORT WAVE FLUX ( watt/m*m ) |
|---|
| 633 | !! --- ( Rosati,Miyakoda 1988 ; eq. 3.8 ) |
|---|
| 634 | !!---------------------------------------------------------------------- |
|---|
| 635 | |
|---|
| 636 | IF(cldnow(ji,jj).LT.0.3) THEN |
|---|
| 637 | qsw(ji,jj) = qtot * (1.-albedo) |
|---|
| 638 | ELSE |
|---|
| 639 | qsw(ji,jj) = qtot*(1.-0.62*cldnow(ji,jj) & |
|---|
| 640 | + .0019*sunbet)*(1.-albedo) |
|---|
| 641 | ENDIF |
|---|
| 642 | |
|---|
| 643 | END DO |
|---|
| 644 | END DO |
|---|
| 645 | |
|---|
| 646 | END SUBROUTINE qshort |
|---|
| 647 | |
|---|
| 648 | |
|---|
| 649 | !!====================================================================== |
|---|
| 650 | |
|---|
| 651 | END MODULE sbcblk_mfs |
|---|
