| 1 | MODULE zdfosm |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdfosm *** |
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| 4 | !! Ocean physics: vertical mixing coefficient compute from the OSMOSIS |
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| 5 | !! turbulent closure parameterization |
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| 6 | !!===================================================================== |
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| 7 | !! History : NEMO 4.0 ! A. Grant, G. Nurser |
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| 8 | !! 15/03/2017 Changed calculation of pycnocline thickness in unstable conditions and stable conditions AG |
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| 9 | !! 15/03/2017 Calculation of pycnocline gradients for stable conditions changed. Pycnocline gradients now depend on stability of the OSBL. A.G |
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| 10 | !! 06/06/2017 (1) Checks on sign of buoyancy jump in calculation of OSBL depth. A.G. |
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| 11 | !! (2) Removed variable zbrad0, zbradh and zbradav since they are not used. |
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| 12 | !! (3) Approximate treatment for shear turbulence. |
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| 13 | !! Minimum values for zustar and zustke. |
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| 14 | !! Add velocity scale, zvstr, that tends to zustar for large Langmuir numbers. |
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| 15 | !! Limit maximum value for Langmuir number. |
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| 16 | !! Use zvstr in definition of stability parameter zhol. |
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| 17 | !! (4) Modified parametrization of entrainment flux, changing original coefficient 0.0485 for Langmuir contribution to 0.135 * zla |
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| 18 | !! (5) For stable boundary layer add factor that depends on length of timestep to 'slow' collapse and growth. Make sure buoyancy jump not negative. |
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| 19 | !! (6) For unstable conditions when growth is over multiple levels, limit change to maximum of one level per cycle through loop. |
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| 20 | !! (7) Change lower limits for loops that calculate OSBL averages from 1 to 2. Large gradients between levels 1 and 2 can cause problems. |
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| 21 | !! (8) Change upper limits from ibld-1 to ibld. |
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| 22 | !! (9) Calculation of pycnocline thickness in unstable conditions. Check added to ensure that buoyancy jump is positive before calculating Ri. |
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| 23 | !! (10) Thickness of interface layer at base of the stable OSBL set by Richardson number. Gives continuity in transition from unstable OSBL. |
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| 24 | !! (11) Checks that buoyancy jump is poitive when calculating pycnocline profiles. |
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| 25 | !! (12) Replace zwstrl with zvstr in calculation of eddy viscosity. |
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| 26 | !! 27/09/2017 (13) Calculate Stokes drift and Stokes penetration depth from wave information |
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| 27 | !! (14) Bouyancy flux due to entrainment changed to include contribution from shear turbulence (for testing commented out). |
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| 28 | !! 28/09/2017 (15) Calculation of Stokes drift moved into separate do-loops to allow for different options for the determining the Stokes drift to be added. |
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| 29 | !! (16) Calculation of Stokes drift from windspeed for PM spectrum (for testing, commented out) |
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| 30 | !! (17) Modification to Langmuir velocity scale to include effects due to the Stokes penetration depth (for testing, commented out) |
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| 31 | !!---------------------------------------------------------------------- |
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| 32 | |
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| 33 | !!---------------------------------------------------------------------- |
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| 34 | !! 'ln_zdfosm' OSMOSIS scheme |
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| 35 | !!---------------------------------------------------------------------- |
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| 36 | !! zdf_osm : update momentum and tracer Kz from osm scheme |
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| 37 | !! zdf_osm_init : initialization, namelist read, and parameters control |
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| 38 | !! osm_rst : read (or initialize) and write osmosis restart fields |
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| 39 | !! tra_osm : compute and add to the T & S trend the non-local flux |
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| 40 | !! trc_osm : compute and add to the passive tracer trend the non-local flux (TBD) |
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| 41 | !! dyn_osm : compute and add to u & v trensd the non-local flux |
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| 42 | !!---------------------------------------------------------------------- |
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| 43 | USE oce ! ocean dynamics and active tracers |
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| 44 | ! uses ww from previous time step (which is now wb) to calculate hbl |
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| 45 | USE dom_oce ! ocean space and time domain |
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| 46 | USE zdf_oce ! ocean vertical physics |
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| 47 | USE sbc_oce ! surface boundary condition: ocean |
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| 48 | USE sbcwave ! surface wave parameters |
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| 49 | USE phycst ! physical constants |
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| 50 | USE eosbn2 ! equation of state |
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| 51 | USE traqsr ! details of solar radiation absorption |
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| 52 | USE zdfddm ! double diffusion mixing (avs array) |
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| 53 | USE iom ! I/O library |
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| 54 | USE lib_mpp ! MPP library |
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| 55 | USE trd_oce ! ocean trends definition |
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| 56 | USE trdtra ! tracers trends |
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| 57 | ! |
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| 58 | USE in_out_manager ! I/O manager |
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| 59 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 60 | USE prtctl ! Print control |
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| 61 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| 62 | |
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| 63 | IMPLICIT NONE |
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| 64 | PRIVATE |
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| 65 | |
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| 66 | PUBLIC zdf_osm ! routine called by step.F90 |
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| 67 | PUBLIC zdf_osm_init ! routine called by nemogcm.F90 |
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| 68 | PUBLIC osm_rst ! routine called by step.F90 |
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| 69 | PUBLIC tra_osm ! routine called by step.F90 |
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| 70 | PUBLIC trc_osm ! routine called by trcstp.F90 |
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| 71 | PUBLIC dyn_osm ! routine called by 'step.F90' |
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| 72 | |
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| 73 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: non-local u-momentum flux |
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| 74 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: non-local v-momentum flux |
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| 75 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: non-local temperature flux (gamma/<ws>o) |
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| 76 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: non-local salinity flux (gamma/<ws>o) |
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| 77 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean !: averaging operator for avt |
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| 78 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: boundary layer depth |
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| 79 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbli !: intial boundary layer depth for stable blayer |
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| 80 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes !: penetration depth of the Stokes drift. |
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| 81 | |
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| 82 | ! !!** Namelist namzdf_osm ** |
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| 83 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
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| 84 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
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| 85 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
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| 86 | REAL(wp) :: rn_osm_hbl0 = 10._wp ! Initial value of hbl for 1D runs |
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| 87 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
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| 88 | INTEGER :: nn_osm_wave = 0 ! = 0/1/2 flag for getting stokes drift from La# / PM wind-waves/Inputs into sbcwave |
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| 89 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
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| 90 | |
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| 91 | |
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| 92 | LOGICAL :: ln_kpprimix = .true. ! Shear instability mixing |
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| 93 | REAL(wp) :: rn_riinfty = 0.7 ! local Richardson Number limit for shear instability |
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| 94 | REAL(wp) :: rn_difri = 0.005 ! maximum shear mixing at Rig = 0 (m2/s) |
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| 95 | LOGICAL :: ln_convmix = .true. ! Convective instability mixing |
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| 96 | REAL(wp) :: rn_difconv = 1._wp ! diffusivity when unstable below BL (m2/s) |
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| 97 | |
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| 98 | ! !!! ** General constants ** |
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| 99 | REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number |
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| 100 | REAL(wp) :: pthird = 1._wp/3._wp ! 1/3 |
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| 101 | REAL(wp) :: p2third = 2._wp/3._wp ! 2/3 |
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| 102 | |
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| 103 | INTEGER :: idebug = 236 |
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| 104 | INTEGER :: jdebug = 228 |
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| 105 | |
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| 106 | !! * Substitutions |
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| 107 | # include "do_loop_substitute.h90" |
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| 108 | # include "domzgr_substitute.h90" |
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| 109 | !!---------------------------------------------------------------------- |
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| 110 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 111 | !! $Id$ |
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| 112 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 113 | !!---------------------------------------------------------------------- |
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| 114 | CONTAINS |
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| 115 | |
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| 116 | INTEGER FUNCTION zdf_osm_alloc() |
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| 117 | !!---------------------------------------------------------------------- |
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| 118 | !! *** FUNCTION zdf_osm_alloc *** |
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| 119 | !!---------------------------------------------------------------------- |
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| 120 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk), ghams(jpi,jpj,jpk), & |
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| 121 | & hbl(jpi,jpj) , hbli(jpi,jpj) , dstokes(jpi, jpj) , & |
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| 122 | & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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| 123 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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| 124 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
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| 125 | END FUNCTION zdf_osm_alloc |
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| 126 | |
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| 127 | |
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| 128 | SUBROUTINE zdf_osm( kt, Kbb, Kmm, Krhs, p_avm, p_avt ) |
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| 129 | !!---------------------------------------------------------------------- |
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| 130 | !! *** ROUTINE zdf_osm *** |
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| 131 | !! |
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| 132 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 133 | !! coefficients and non local mixing using the OSMOSIS scheme |
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| 134 | !! |
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| 135 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
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| 136 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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| 137 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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| 138 | !! |
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| 139 | !! Kx = hosm Wx(sigma) G(sigma) |
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| 140 | !! |
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| 141 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
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| 142 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
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| 143 | !! shear instability and double diffusion. |
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| 144 | !! |
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| 145 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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| 146 | !! -2- Diagnose the boundary layer depth. |
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| 147 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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| 148 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
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| 149 | !! -5- Smoothing |
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| 150 | !! |
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| 151 | !! N.B. The computation is done from jk=2 to jpkm1 |
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| 152 | !! Surface value of avt are set once a time to zero |
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| 153 | !! in routine zdf_osm_init. |
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| 154 | !! |
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| 155 | !! ** Action : update the non-local terms ghamts |
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| 156 | !! update avt (before vertical eddy coef.) |
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| 157 | !! |
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| 158 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
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| 159 | !! Reviews of Geophysics, 32, 4, November 1994 |
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| 160 | !! Comments in the code refer to this paper, particularly |
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| 161 | !! the equation number. (LMD94, here after) |
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| 162 | !!---------------------------------------------------------------------- |
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| 163 | INTEGER , INTENT(in ) :: kt ! ocean time step |
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| 164 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
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| 165 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
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| 166 | !! |
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| 167 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 168 | INTEGER :: ikbot, jkmax, jkm1, jkp2 ! |
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| 169 | |
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| 170 | REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube ! |
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| 171 | REAL(wp) :: zbeta, zthermal ! |
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| 172 | REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales |
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| 173 | REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm ! |
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| 174 | REAL(wp) :: zsr, zbw, ze, zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, zcomp , zrhd,zrhdr,zbvzed ! In situ density |
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| 175 | INTEGER :: jm ! dummy loop indices |
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| 176 | REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms |
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| 177 | REAL(wp) :: zflag, zrn2, zdep21, zdep32, zdep43 |
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| 178 | REAL(wp) :: zesh2, zri, zfri ! Interior richardson mixing |
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| 179 | REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t |
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| 180 | REAL(wp) :: zt,zs,zu,zv,zrh ! variables used in constructing averages |
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| 181 | ! Scales |
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| 182 | REAL(wp), DIMENSION(jpi,jpj) :: zrad0 ! Surface solar temperature flux (deg m/s) |
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| 183 | REAL(wp), DIMENSION(jpi,jpj) :: zradh ! Radiative flux at bl base (Buoyancy units) |
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| 184 | REAL(wp), DIMENSION(jpi,jpj) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
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| 185 | REAL(wp), DIMENSION(jpi,jpj) :: zustar ! friction velocity |
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| 186 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrl ! Langmuir velocity scale |
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| 187 | REAL(wp), DIMENSION(jpi,jpj) :: zvstr ! Velocity scale that ends to zustar for large Langmuir number. |
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| 188 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrc ! Convective velocity scale |
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| 189 | REAL(wp), DIMENSION(jpi,jpj) :: zuw0 ! Surface u-momentum flux |
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| 190 | REAL(wp), DIMENSION(jpi,jpj) :: zvw0 ! Surface v-momentum flux |
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| 191 | REAL(wp), DIMENSION(jpi,jpj) :: zwth0 ! Surface heat flux (Kinematic) |
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| 192 | REAL(wp), DIMENSION(jpi,jpj) :: zws0 ! Surface freshwater flux |
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| 193 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0 ! Surface buoyancy flux |
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| 194 | REAL(wp), DIMENSION(jpi,jpj) :: zwthav ! Heat flux - bl average |
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| 195 | REAL(wp), DIMENSION(jpi,jpj) :: zwsav ! freshwater flux - bl average |
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| 196 | REAL(wp), DIMENSION(jpi,jpj) :: zwbav ! Buoyancy flux - bl average |
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| 197 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent ! Buoyancy entrainment flux |
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| 198 | REAL(wp), DIMENSION(jpi,jpj) :: zustke ! Surface Stokes drift |
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| 199 | REAL(wp), DIMENSION(jpi,jpj) :: zla ! Trubulent Langmuir number |
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| 200 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_wind ! Cos angle of surface stress |
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| 201 | REAL(wp), DIMENSION(jpi,jpj) :: zsin_wind ! Sin angle of surface stress |
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| 202 | REAL(wp), DIMENSION(jpi,jpj) :: zhol ! Stability parameter for boundary layer |
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| 203 | LOGICAL, DIMENSION(:,:), ALLOCATABLE :: lconv ! unstable/stable bl |
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| 204 | |
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| 205 | ! mixed-layer variables |
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| 206 | |
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| 207 | INTEGER, DIMENSION(jpi,jpj) :: ibld ! level of boundary layer base |
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| 208 | INTEGER, DIMENSION(jpi,jpj) :: imld ! level of mixed-layer depth (pycnocline top) |
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| 209 | |
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| 210 | REAL(wp) :: ztgrad,zsgrad,zbgrad ! Temporary variables used to calculate pycnocline gradients |
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| 211 | REAL(wp) :: zugrad,zvgrad ! temporary variables for calculating pycnocline shear |
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| 212 | |
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| 213 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl ! bl depth - grid |
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| 214 | REAL(wp), DIMENSION(jpi,jpj) :: zhml ! ml depth - grid |
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| 215 | REAL(wp), DIMENSION(jpi,jpj) :: zdh ! pycnocline depth - grid |
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| 216 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! BL depth tendency |
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| 217 | REAL(wp), DIMENSION(jpi,jpj) :: zt_bl,zs_bl,zu_bl,zv_bl,zrh_bl ! averages over the depth of the blayer |
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| 218 | REAL(wp), DIMENSION(jpi,jpj) :: zt_ml,zs_ml,zu_ml,zv_ml,zrh_ml ! averages over the depth of the mixed layer |
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| 219 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_bl,zds_bl,zdu_bl,zdv_bl,zdrh_bl,zdb_bl ! difference between blayer average and parameter at base of blayer |
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| 220 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_ml,zds_ml,zdu_ml,zdv_ml,zdrh_ml,zdb_ml ! difference between mixed layer average and parameter at base of blayer |
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| 221 | REAL(wp), DIMENSION(jpi,jpj) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
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| 222 | REAL(wp), DIMENSION(jpi,jpj) :: zuw_bse,zvw_bse ! momentum fluxes at the top of the pycnocline |
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| 223 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz_pyc ! parametrized gradient of temperature in pycnocline |
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| 224 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdsdz_pyc ! parametrised gradient of salinity in pycnocline |
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| 225 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdbdz_pyc ! parametrised gradient of buoyancy in the pycnocline |
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| 226 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz_pyc ! u-shear across the pycnocline |
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| 227 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdvdz_pyc ! v-shear across the pycnocline |
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| 228 | |
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| 229 | ! Flux-gradient relationship variables |
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| 230 | |
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| 231 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale. |
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| 232 | |
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| 233 | REAL(wp), DIMENSION(jpi,jpj) :: zdifml_sc,zvisml_sc,zdifpyc_sc,zvispyc_sc,zbeta_d_sc,zbeta_v_sc ! Scales for eddy diffusivity/viscosity |
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| 234 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_1,zsc_ws_1 ! Temporary scales used to calculate scalar non-gradient terms. |
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| 235 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_uw_1,zsc_uw_2,zsc_vw_1,zsc_vw_2 ! Temporary scales for non-gradient momentum flux terms. |
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| 236 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl_t ! holds boundary layer depth updated by full timestep |
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| 237 | |
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| 238 | ! For calculating Ri#-dependent mixing |
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| 239 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3du ! u-shear^2 |
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| 240 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3dv ! v-shear^2 |
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| 241 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zrimix ! spatial form of ri#-induced diffusion |
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| 242 | |
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| 243 | ! Temporary variables |
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| 244 | INTEGER :: inhml |
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| 245 | INTEGER :: i_lconv_alloc |
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| 246 | REAL(wp) :: znd,znd_d,zznd_ml,zznd_pyc,zznd_d ! temporary non-dimensional depths used in various routines |
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| 247 | REAL(wp) :: ztemp, zari, zpert, zzdhdt, zdb ! temporary variables |
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| 248 | REAL(wp) :: zthick, zz0, zz1 ! temporary variables |
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| 249 | REAL(wp) :: zvel_max, zhbl_s ! temporary variables |
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| 250 | REAL(wp) :: zfac ! temporary variable |
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| 251 | REAL(wp) :: zus_x, zus_y ! temporary Stokes drift |
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| 252 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zviscos ! viscosity |
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| 253 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdiffut ! t-diffusivity |
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| 254 | |
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| 255 | ! For debugging |
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| 256 | INTEGER :: ikt |
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| 257 | !!-------------------------------------------------------------------- |
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| 258 | ! |
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| 259 | ALLOCATE( lconv(jpi,jpj), STAT= i_lconv_alloc ) |
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| 260 | IF( i_lconv_alloc /= 0 ) CALL ctl_warn('zdf_osm: failed to allocate lconv') |
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| 261 | |
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| 262 | ibld(:,:) = 0 ; imld(:,:) = 0 |
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| 263 | zrad0(:,:) = 0._wp ; zradh(:,:) = 0._wp ; zradav(:,:) = 0._wp ; zustar(:,:) = 0._wp |
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| 264 | zwstrl(:,:) = 0._wp ; zvstr(:,:) = 0._wp ; zwstrc(:,:) = 0._wp ; zuw0(:,:) = 0._wp |
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| 265 | zvw0(:,:) = 0._wp ; zwth0(:,:) = 0._wp ; zws0(:,:) = 0._wp ; zwb0(:,:) = 0._wp |
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| 266 | zwthav(:,:) = 0._wp ; zwsav(:,:) = 0._wp ; zwbav(:,:) = 0._wp ; zwb_ent(:,:) = 0._wp |
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| 267 | zustke(:,:) = 0._wp ; zla(:,:) = 0._wp ; zcos_wind(:,:) = 0._wp ; zsin_wind(:,:) = 0._wp |
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| 268 | zhol(:,:) = 0._wp |
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| 269 | lconv(:,:) = .FALSE. |
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| 270 | ! mixed layer |
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| 271 | ! no initialization of zhbl or zhml (or zdh?) |
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| 272 | zhbl(:,:) = 1._wp ; zhml(:,:) = 1._wp ; zdh(:,:) = 1._wp ; zdhdt(:,:) = 0._wp |
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| 273 | zt_bl(:,:) = 0._wp ; zs_bl(:,:) = 0._wp ; zu_bl(:,:) = 0._wp ; zv_bl(:,:) = 0._wp |
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| 274 | zrh_bl(:,:) = 0._wp ; zt_ml(:,:) = 0._wp ; zs_ml(:,:) = 0._wp ; zu_ml(:,:) = 0._wp |
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| 275 | zv_ml(:,:) = 0._wp ; zrh_ml(:,:) = 0._wp ; zdt_bl(:,:) = 0._wp ; zds_bl(:,:) = 0._wp |
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| 276 | zdu_bl(:,:) = 0._wp ; zdv_bl(:,:) = 0._wp ; zdrh_bl(:,:) = 0._wp ; zdb_bl(:,:) = 0._wp |
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| 277 | zdt_ml(:,:) = 0._wp ; zds_ml(:,:) = 0._wp ; zdu_ml(:,:) = 0._wp ; zdv_ml(:,:) = 0._wp |
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| 278 | zdrh_ml(:,:) = 0._wp ; zdb_ml(:,:) = 0._wp ; zwth_ent(:,:) = 0._wp ; zws_ent(:,:) = 0._wp |
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| 279 | zuw_bse(:,:) = 0._wp ; zvw_bse(:,:) = 0._wp |
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| 280 | ! |
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| 281 | zdtdz_pyc(:,:,:) = 0._wp ; zdsdz_pyc(:,:,:) = 0._wp ; zdbdz_pyc(:,:,:) = 0._wp |
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| 282 | zdudz_pyc(:,:,:) = 0._wp ; zdvdz_pyc(:,:,:) = 0._wp |
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| 283 | ! |
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| 284 | ! Flux-Gradient arrays. |
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| 285 | zdifml_sc(:,:) = 0._wp ; zvisml_sc(:,:) = 0._wp ; zdifpyc_sc(:,:) = 0._wp |
|---|
| 286 | zvispyc_sc(:,:) = 0._wp ; zbeta_d_sc(:,:) = 0._wp ; zbeta_v_sc(:,:) = 0._wp |
|---|
| 287 | zsc_wth_1(:,:) = 0._wp ; zsc_ws_1(:,:) = 0._wp ; zsc_uw_1(:,:) = 0._wp |
|---|
| 288 | zsc_uw_2(:,:) = 0._wp ; zsc_vw_1(:,:) = 0._wp ; zsc_vw_2(:,:) = 0._wp |
|---|
| 289 | zhbl_t(:,:) = 0._wp ; zdhdt(:,:) = 0._wp |
|---|
| 290 | |
|---|
| 291 | zdiffut(:,:,:) = 0._wp ; zviscos(:,:,:) = 0._wp ; ghamt(:,:,:) = 0._wp |
|---|
| 292 | ghams(:,:,:) = 0._wp ; ghamu(:,:,:) = 0._wp ; ghamv(:,:,:) = 0._wp |
|---|
| 293 | |
|---|
| 294 | ! hbl = MAX(hbl,epsln) |
|---|
| 295 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 296 | ! Calculate boundary layer scales |
|---|
| 297 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 298 | |
|---|
| 299 | ! Assume two-band radiation model for depth of OSBL |
|---|
| 300 | zz0 = rn_abs ! surface equi-partition in 2-bands |
|---|
| 301 | zz1 = 1. - rn_abs |
|---|
| 302 | DO_2D_00_00 |
|---|
| 303 | ! Surface downward irradiance (so always +ve) |
|---|
| 304 | zrad0(ji,jj) = qsr(ji,jj) * r1_rho0_rcp |
|---|
| 305 | ! Downwards irradiance at base of boundary layer |
|---|
| 306 | zradh(ji,jj) = zrad0(ji,jj) * ( zz0 * EXP( -hbl(ji,jj)/rn_si0 ) + zz1 * EXP( -hbl(ji,jj)/rn_si1) ) |
|---|
| 307 | ! Downwards irradiance averaged over depth of the OSBL |
|---|
| 308 | zradav(ji,jj) = zrad0(ji,jj) * ( zz0 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si0 ) )*rn_si0 & |
|---|
| 309 | & + zz1 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si1 ) )*rn_si1 ) / hbl(ji,jj) |
|---|
| 310 | END_2D |
|---|
| 311 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
|---|
| 312 | DO_2D_00_00 |
|---|
| 313 | zthermal = rab_n(ji,jj,1,jp_tem) |
|---|
| 314 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 315 | ! Upwards surface Temperature flux for non-local term |
|---|
| 316 | zwth0(ji,jj) = - qns(ji,jj) * r1_rho0_rcp * tmask(ji,jj,1) |
|---|
| 317 | ! Upwards surface salinity flux for non-local term |
|---|
| 318 | zws0(ji,jj) = - ( ( emp(ji,jj)-rnf(ji,jj) ) * ts(ji,jj,1,jp_sal,Kmm) + sfx(ji,jj) ) * r1_rho0 * tmask(ji,jj,1) |
|---|
| 319 | ! Non radiative upwards surface buoyancy flux |
|---|
| 320 | zwb0(ji,jj) = grav * zthermal * zwth0(ji,jj) - grav * zbeta * zws0(ji,jj) |
|---|
| 321 | ! turbulent heat flux averaged over depth of OSBL |
|---|
| 322 | zwthav(ji,jj) = 0.5 * zwth0(ji,jj) - ( 0.5*( zrad0(ji,jj) + zradh(ji,jj) ) - zradav(ji,jj) ) |
|---|
| 323 | ! turbulent salinity flux averaged over depth of the OBSL |
|---|
| 324 | zwsav(ji,jj) = 0.5 * zws0(ji,jj) |
|---|
| 325 | ! turbulent buoyancy flux averaged over the depth of the OBSBL |
|---|
| 326 | zwbav(ji,jj) = grav * zthermal * zwthav(ji,jj) - grav * zbeta * zwsav(ji,jj) |
|---|
| 327 | ! Surface upward velocity fluxes |
|---|
| 328 | zuw0(ji,jj) = -utau(ji,jj) * r1_rho0 * tmask(ji,jj,1) |
|---|
| 329 | zvw0(ji,jj) = -vtau(ji,jj) * r1_rho0 * tmask(ji,jj,1) |
|---|
| 330 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
|---|
| 331 | zustar(ji,jj) = MAX( SQRT( SQRT( zuw0(ji,jj) * zuw0(ji,jj) + zvw0(ji,jj) * zvw0(ji,jj) ) ), 1.0e-8 ) |
|---|
| 332 | zcos_wind(ji,jj) = -zuw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
|---|
| 333 | zsin_wind(ji,jj) = -zvw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
|---|
| 334 | END_2D |
|---|
| 335 | ! Calculate Stokes drift in direction of wind (zustke) and Stokes penetration depth (dstokes) |
|---|
| 336 | SELECT CASE (nn_osm_wave) |
|---|
| 337 | ! Assume constant La#=0.3 |
|---|
| 338 | CASE(0) |
|---|
| 339 | DO_2D_00_00 |
|---|
| 340 | zus_x = zcos_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
|---|
| 341 | zus_y = zsin_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
|---|
| 342 | zustke(ji,jj) = MAX ( SQRT( zus_x*zus_x + zus_y*zus_y), 1.0e-8 ) |
|---|
| 343 | ! dstokes(ji,jj) set to constant value rn_osm_dstokes from namelist in zdf_osm_init |
|---|
| 344 | END_2D |
|---|
| 345 | ! Assume Pierson-Moskovitz wind-wave spectrum |
|---|
| 346 | CASE(1) |
|---|
| 347 | DO_2D_00_00 |
|---|
| 348 | ! Use wind speed wndm included in sbc_oce module |
|---|
| 349 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
|---|
| 350 | dstokes(ji,jj) = 0.12 * wndm(ji,jj)**2 / grav |
|---|
| 351 | END_2D |
|---|
| 352 | ! Use ECMWF wave fields as output from SBCWAVE |
|---|
| 353 | CASE(2) |
|---|
| 354 | zfac = 2.0_wp * rpi / 16.0_wp |
|---|
| 355 | DO_2D_00_00 |
|---|
| 356 | ! The Langmur number from the ECMWF model appears to give La<0.3 for wind-driven seas. |
|---|
| 357 | ! The coefficient 0.8 gives La=0.3 in this situation. |
|---|
| 358 | ! It could represent the effects of the spread of wave directions |
|---|
| 359 | ! around the mean wind. The effect of this adjustment needs to be tested. |
|---|
| 360 | zustke(ji,jj) = MAX ( 1.0 * ( zcos_wind(ji,jj) * ut0sd(ji,jj ) + zsin_wind(ji,jj) * vt0sd(ji,jj) ), & |
|---|
| 361 | & zustar(ji,jj) / ( 0.45 * 0.45 ) ) |
|---|
| 362 | dstokes(ji,jj) = MAX(zfac * hsw(ji,jj)*hsw(ji,jj) / ( MAX(zustke(ji,jj)*wmp(ji,jj), 1.0e-7 ) ), 5.0e-1) !rn_osm_dstokes ! |
|---|
| 363 | END_2D |
|---|
| 364 | END SELECT |
|---|
| 365 | |
|---|
| 366 | ! Langmuir velocity scale (zwstrl), La # (zla) |
|---|
| 367 | ! mixed scale (zvstr), convective velocity scale (zwstrc) |
|---|
| 368 | DO_2D_00_00 |
|---|
| 369 | ! Langmuir velocity scale (zwstrl), at T-point |
|---|
| 370 | zwstrl(ji,jj) = ( zustar(ji,jj) * zustar(ji,jj) * zustke(ji,jj) )**pthird |
|---|
| 371 | ! Modify zwstrl to allow for small and large values of dstokes/hbl. |
|---|
| 372 | ! Intended as a possible test. Doesn't affect LES results for entrainment, |
|---|
| 373 | ! but hasn't been shown to be correct as dstokes/h becomes large or small. |
|---|
| 374 | zwstrl(ji,jj) = zwstrl(ji,jj) * & |
|---|
| 375 | & (1.12 * ( 1.0 - ( 1.0 - EXP( -hbl(ji,jj) / dstokes(ji,jj) ) ) * dstokes(ji,jj) / hbl(ji,jj) ))**pthird * & |
|---|
| 376 | & ( 1.0 - EXP( -15.0 * dstokes(ji,jj) / hbl(ji,jj) )) |
|---|
| 377 | ! define La this way so effects of Stokes penetration depth on velocity scale are included |
|---|
| 378 | zla(ji,jj) = SQRT ( zustar(ji,jj) / zwstrl(ji,jj) )**3 |
|---|
| 379 | ! Velocity scale that tends to zustar for large Langmuir numbers |
|---|
| 380 | zvstr(ji,jj) = ( zwstrl(ji,jj)**3 + & |
|---|
| 381 | & ( 1.0 - EXP( -0.5 * zla(ji,jj)**2 ) ) * zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) )**pthird |
|---|
| 382 | |
|---|
| 383 | ! limit maximum value of Langmuir number as approximate treatment for shear turbulence. |
|---|
| 384 | ! Note zustke and zwstrl are not amended. |
|---|
| 385 | IF ( zla(ji,jj) >= 0.45 ) zla(ji,jj) = 0.45 |
|---|
| 386 | ! |
|---|
| 387 | ! get convective velocity (zwstrc), stabilty scale (zhol) and logical conection flag lconv |
|---|
| 388 | IF ( zwbav(ji,jj) > 0.0) THEN |
|---|
| 389 | zwstrc(ji,jj) = ( 2.0 * zwbav(ji,jj) * 0.9 * hbl(ji,jj) )**pthird |
|---|
| 390 | zhol(ji,jj) = -0.9 * hbl(ji,jj) * 2.0 * zwbav(ji,jj) / (zvstr(ji,jj)**3 + epsln ) |
|---|
| 391 | lconv(ji,jj) = .TRUE. |
|---|
| 392 | ELSE |
|---|
| 393 | zhol(ji,jj) = -hbl(ji,jj) * 2.0 * zwbav(ji,jj)/ (zvstr(ji,jj)**3 + epsln ) |
|---|
| 394 | lconv(ji,jj) = .FALSE. |
|---|
| 395 | ENDIF |
|---|
| 396 | END_2D |
|---|
| 397 | |
|---|
| 398 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 399 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
|---|
| 400 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 401 | ! BL must be always 2 levels deep. |
|---|
| 402 | hbl(:,:) = MAX(hbl(:,:), gdepw(:,:,3,Kmm) ) |
|---|
| 403 | ibld(:,:) = 3 |
|---|
| 404 | DO_3D_00_00( 4, jpkm1 ) |
|---|
| 405 | IF ( hbl(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) THEN |
|---|
| 406 | ibld(ji,jj) = MIN(mbkt(ji,jj), jk) |
|---|
| 407 | ENDIF |
|---|
| 408 | END_3D |
|---|
| 409 | |
|---|
| 410 | DO_2D_00_00 |
|---|
| 411 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
|---|
| 412 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 413 | zt = 0._wp |
|---|
| 414 | zs = 0._wp |
|---|
| 415 | zu = 0._wp |
|---|
| 416 | zv = 0._wp |
|---|
| 417 | ! average over depth of boundary layer |
|---|
| 418 | zthick=0._wp |
|---|
| 419 | DO jm = 2, ibld(ji,jj) |
|---|
| 420 | zthick=zthick+e3t(ji,jj,jm,Kmm) |
|---|
| 421 | zt = zt + e3t(ji,jj,jm,Kmm) * ts(ji,jj,jm,jp_tem,Kmm) |
|---|
| 422 | zs = zs + e3t(ji,jj,jm,Kmm) * ts(ji,jj,jm,jp_sal,Kmm) |
|---|
| 423 | zu = zu + e3t(ji,jj,jm,Kmm) & |
|---|
| 424 | & * ( uu(ji,jj,jm,Kbb) + uu(ji - 1,jj,jm,Kbb) ) & |
|---|
| 425 | & / MAX( 1. , umask(ji,jj,jm) + umask(ji - 1,jj,jm) ) |
|---|
| 426 | zv = zv + e3t(ji,jj,jm,Kmm) & |
|---|
| 427 | & * ( vv(ji,jj,jm,Kbb) + vv(ji,jj - 1,jm,Kbb) ) & |
|---|
| 428 | & / MAX( 1. , vmask(ji,jj,jm) + vmask(ji,jj - 1,jm) ) |
|---|
| 429 | END DO |
|---|
| 430 | zt_bl(ji,jj) = zt / zthick |
|---|
| 431 | zs_bl(ji,jj) = zs / zthick |
|---|
| 432 | zu_bl(ji,jj) = zu / zthick |
|---|
| 433 | zv_bl(ji,jj) = zv / zthick |
|---|
| 434 | zdt_bl(ji,jj) = zt_bl(ji,jj) - ts(ji,jj,ibld(ji,jj),jp_tem,Kmm) |
|---|
| 435 | zds_bl(ji,jj) = zs_bl(ji,jj) - ts(ji,jj,ibld(ji,jj),jp_sal,Kmm) |
|---|
| 436 | zdu_bl(ji,jj) = zu_bl(ji,jj) - ( uu(ji,jj,ibld(ji,jj),Kbb) + uu(ji-1,jj,ibld(ji,jj) ,Kbb) ) & |
|---|
| 437 | & / MAX(1. , umask(ji,jj,ibld(ji,jj) ) + umask(ji-1,jj,ibld(ji,jj) ) ) |
|---|
| 438 | zdv_bl(ji,jj) = zv_bl(ji,jj) - ( vv(ji,jj,ibld(ji,jj),Kbb) + vv(ji,jj-1,ibld(ji,jj) ,Kbb) ) & |
|---|
| 439 | & / MAX(1. , vmask(ji,jj,ibld(ji,jj) ) + vmask(ji,jj-1,ibld(ji,jj) ) ) |
|---|
| 440 | zdb_bl(ji,jj) = grav * zthermal * zdt_bl(ji,jj) - grav * zbeta * zds_bl(ji,jj) |
|---|
| 441 | IF ( lconv(ji,jj) ) THEN ! Convective |
|---|
| 442 | zwb_ent(ji,jj) = -( 2.0 * 0.2 * zwbav(ji,jj) & |
|---|
| 443 | & + 0.135 * zla(ji,jj) * zwstrl(ji,jj)**3/hbl(ji,jj) ) |
|---|
| 444 | |
|---|
| 445 | zvel_max = - ( 1.0 + 1.0 * ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_Dt / hbl(ji,jj) ) & |
|---|
| 446 | & * zwb_ent(ji,jj) / ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 447 | ! Entrainment including component due to shear turbulence. Modified Langmuir component, but gives same result for La=0.3 For testing uncomment. |
|---|
| 448 | ! zwb_ent(ji,jj) = -( 2.0 * 0.2 * zwbav(ji,jj) & |
|---|
| 449 | ! & + ( 0.15 * ( 1.0 - EXP( -0.5 * zla(ji,jj) ) ) + 0.03 / zla(ji,jj)**2 ) * zustar(ji,jj)**3/hbl(ji,jj) ) |
|---|
| 450 | |
|---|
| 451 | ! zvel_max = - ( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_Dt / zhbl(ji,jj) ) * zwb_ent(ji,jj) / & |
|---|
| 452 | ! & ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 453 | zzdhdt = - zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj),0.0) ) |
|---|
| 454 | ELSE ! Stable |
|---|
| 455 | zzdhdt = 0.32 * ( hbli(ji,jj) / hbl(ji,jj) -1.0 ) * zwstrl(ji,jj)**3 / hbli(ji,jj) & |
|---|
| 456 | & + ( ( 0.32 / 3.0 ) * exp ( -2.5 * ( hbli(ji,jj) / hbl(ji,jj) - 1.0 ) ) & |
|---|
| 457 | & - ( 0.32 / 3.0 - 0.135 * zla(ji,jj) ) * exp ( -12.5 * ( hbli(ji,jj) / hbl(ji,jj) ) ) ) & |
|---|
| 458 | & * zwstrl(ji,jj)**3 / hbli(ji,jj) |
|---|
| 459 | zzdhdt = zzdhdt + zwbav(ji,jj) |
|---|
| 460 | IF ( zzdhdt < 0._wp ) THEN |
|---|
| 461 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
|---|
| 462 | zpert = 2.0 * ( 1.0 + 2.0 * zwstrl(ji,jj) * rn_Dt / hbl(ji,jj) ) * zwstrl(ji,jj)**2 / hbl(ji,jj) |
|---|
| 463 | ELSE |
|---|
| 464 | zpert = 2.0 * ( 1.0 + 2.0 * zwstrl(ji,jj) * rn_Dt / hbl(ji,jj) ) * zwstrl(ji,jj)**2 / hbl(ji,jj) & |
|---|
| 465 | & + MAX( zdb_bl(ji,jj), 0.0 ) |
|---|
| 466 | ENDIF |
|---|
| 467 | zzdhdt = 2.0 * zzdhdt / zpert |
|---|
| 468 | ENDIF |
|---|
| 469 | zdhdt(ji,jj) = zzdhdt |
|---|
| 470 | END_2D |
|---|
| 471 | |
|---|
| 472 | ! Calculate averages over depth of boundary layer |
|---|
| 473 | imld = ibld ! use imld to hold previous blayer index |
|---|
| 474 | ibld(:,:) = 3 |
|---|
| 475 | |
|---|
| 476 | zhbl_t(:,:) = hbl(:,:) + (zdhdt(:,:) - ww(ji,jj,ibld(ji,jj)))* rn_Dt ! certainly need wb here, so subtract it |
|---|
| 477 | zhbl_t(:,:) = MIN(zhbl_t(:,:), ht(:,:)) |
|---|
| 478 | zdhdt(:,:) = MIN(zdhdt(:,:), (zhbl_t(:,:) - hbl(:,:))/rn_Dt + ww(ji,jj,ibld(ji,jj))) ! adjustment to represent limiting by ocean bottom |
|---|
| 479 | |
|---|
| 480 | DO_3D_00_00( 4, jpkm1 ) |
|---|
| 481 | IF ( zhbl_t(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) THEN |
|---|
| 482 | ibld(ji,jj) = MIN(mbkt(ji,jj), jk) |
|---|
| 483 | ENDIF |
|---|
| 484 | END_3D |
|---|
| 485 | |
|---|
| 486 | ! |
|---|
| 487 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
|---|
| 488 | ! |
|---|
| 489 | DO_2D_00_00 |
|---|
| 490 | IF ( ibld(ji,jj) - imld(ji,jj) > 1 ) THEN |
|---|
| 491 | ! |
|---|
| 492 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
|---|
| 493 | ! |
|---|
| 494 | zhbl_s = hbl(ji,jj) |
|---|
| 495 | jm = imld(ji,jj) |
|---|
| 496 | zthermal = rab_n(ji,jj,1,jp_tem) |
|---|
| 497 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 498 | IF ( lconv(ji,jj) ) THEN |
|---|
| 499 | !unstable |
|---|
| 500 | zvel_max = - ( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_Dt / hbl(ji,jj) ) & |
|---|
| 501 | & * zwb_ent(ji,jj) / ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 502 | |
|---|
| 503 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 504 | zdb = MAX( grav * ( zthermal * ( zt_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) & |
|---|
| 505 | & - zbeta * ( zs_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0 ) + zvel_max |
|---|
| 506 | |
|---|
| 507 | zhbl_s = zhbl_s + MIN( - zwb_ent(ji,jj) / zdb * rn_Dt / FLOAT(ibld(ji,jj)-imld(ji,jj) ), & |
|---|
| 508 | & e3w(ji,jj,jk,Kmm) ) |
|---|
| 509 | zhbl_s = MIN(zhbl_s, ht(ji,jj)) |
|---|
| 510 | |
|---|
| 511 | IF ( zhbl_s >= gdepw(ji,jj,jm+1,Kmm) ) jm = jm + 1 |
|---|
| 512 | END DO |
|---|
| 513 | hbl(ji,jj) = zhbl_s |
|---|
| 514 | ibld(ji,jj) = jm |
|---|
| 515 | hbli(ji,jj) = hbl(ji,jj) |
|---|
| 516 | ELSE |
|---|
| 517 | ! stable |
|---|
| 518 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 519 | zdb = MAX( grav * ( zthermal * ( zt_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) & |
|---|
| 520 | & - zbeta * ( zs_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0 ) & |
|---|
| 521 | & + 2.0 * zwstrl(ji,jj)**2 / zhbl_s |
|---|
| 522 | |
|---|
| 523 | zhbl_s = zhbl_s + ( & |
|---|
| 524 | & 0.32 * ( hbli(ji,jj) / zhbl_s -1.0 ) & |
|---|
| 525 | & * zwstrl(ji,jj)**3 / hbli(ji,jj) & |
|---|
| 526 | & + ( ( 0.32 / 3.0 ) * EXP( - 2.5 * ( hbli(ji,jj) / zhbl_s -1.0 ) ) & |
|---|
| 527 | & - ( 0.32 / 3.0 - 0.0485 ) * EXP( - 12.5 * ( hbli(ji,jj) / zhbl_s ) ) ) & |
|---|
| 528 | & * zwstrl(ji,jj)**3 / hbli(ji,jj) ) / zdb * e3w(ji,jj,jk,Kmm) / zdhdt(ji,jj) ! ALMG to investigate whether need to include ww here |
|---|
| 529 | |
|---|
| 530 | zhbl_s = MIN(zhbl_s, ht(ji,jj)) |
|---|
| 531 | IF ( zhbl_s >= gdepw(ji,jj,jm,Kmm) ) jm = jm + 1 |
|---|
| 532 | END DO |
|---|
| 533 | hbl(ji,jj) = MAX(zhbl_s, gdepw(ji,jj,3,Kmm) ) |
|---|
| 534 | ibld(ji,jj) = MAX(jm, 3 ) |
|---|
| 535 | IF ( hbl(ji,jj) > hbli(ji,jj) ) hbli(ji,jj) = hbl(ji,jj) |
|---|
| 536 | ENDIF ! IF ( lconv ) |
|---|
| 537 | ELSE |
|---|
| 538 | ! change zero or one model level. |
|---|
| 539 | hbl(ji,jj) = zhbl_t(ji,jj) |
|---|
| 540 | IF ( lconv(ji,jj) ) THEN |
|---|
| 541 | hbli(ji,jj) = hbl(ji,jj) |
|---|
| 542 | ELSE |
|---|
| 543 | hbl(ji,jj) = MAX(hbl(ji,jj), gdepw(ji,jj,3,Kmm) ) |
|---|
| 544 | IF ( hbl(ji,jj) > hbli(ji,jj) ) hbli(ji,jj) = hbl(ji,jj) |
|---|
| 545 | ENDIF |
|---|
| 546 | ENDIF |
|---|
| 547 | zhbl(ji,jj) = gdepw(ji,jj,ibld(ji,jj),Kmm) |
|---|
| 548 | END_2D |
|---|
| 549 | dstokes(:,:) = MIN ( dstokes(:,:), hbl(:,:)/3. ) ! Limit delta for shallow boundary layers for calculating flux-gradient terms. |
|---|
| 550 | |
|---|
| 551 | ! Recalculate averages over boundary layer after depth updated |
|---|
| 552 | ! Consider later combining this into the loop above and looking for columns |
|---|
| 553 | ! where the index for base of the boundary layer have changed |
|---|
| 554 | DO_2D_00_00 |
|---|
| 555 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
|---|
| 556 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 557 | zt = 0._wp |
|---|
| 558 | zs = 0._wp |
|---|
| 559 | zu = 0._wp |
|---|
| 560 | zv = 0._wp |
|---|
| 561 | ! average over depth of boundary layer |
|---|
| 562 | zthick=0._wp |
|---|
| 563 | DO jm = 2, ibld(ji,jj) |
|---|
| 564 | zthick=zthick+e3t(ji,jj,jm,Kmm) |
|---|
| 565 | zt = zt + e3t(ji,jj,jm,Kmm) * ts(ji,jj,jm,jp_tem,Kmm) |
|---|
| 566 | zs = zs + e3t(ji,jj,jm,Kmm) * ts(ji,jj,jm,jp_sal,Kmm) |
|---|
| 567 | zu = zu + e3t(ji,jj,jm,Kmm) & |
|---|
| 568 | & * ( uu(ji,jj,jm,Kbb) + uu(ji - 1,jj,jm,Kbb) ) & |
|---|
| 569 | & / MAX( 1. , umask(ji,jj,jm) + umask(ji - 1,jj,jm) ) |
|---|
| 570 | zv = zv + e3t(ji,jj,jm,Kmm) & |
|---|
| 571 | & * ( vv(ji,jj,jm,Kbb) + vv(ji,jj - 1,jm,Kbb) ) & |
|---|
| 572 | & / MAX( 1. , vmask(ji,jj,jm) + vmask(ji,jj - 1,jm) ) |
|---|
| 573 | END DO |
|---|
| 574 | zt_bl(ji,jj) = zt / zthick |
|---|
| 575 | zs_bl(ji,jj) = zs / zthick |
|---|
| 576 | zu_bl(ji,jj) = zu / zthick |
|---|
| 577 | zv_bl(ji,jj) = zv / zthick |
|---|
| 578 | zdt_bl(ji,jj) = zt_bl(ji,jj) - ts(ji,jj,ibld(ji,jj),jp_tem,Kmm) |
|---|
| 579 | zds_bl(ji,jj) = zs_bl(ji,jj) - ts(ji,jj,ibld(ji,jj),jp_sal,Kmm) |
|---|
| 580 | zdu_bl(ji,jj) = zu_bl(ji,jj) - ( uu(ji,jj,ibld(ji,jj),Kbb) + uu(ji-1,jj,ibld(ji,jj) ,Kbb) ) & |
|---|
| 581 | & / MAX(1. , umask(ji,jj,ibld(ji,jj) ) + umask(ji-1,jj,ibld(ji,jj) ) ) |
|---|
| 582 | zdv_bl(ji,jj) = zv_bl(ji,jj) - ( vv(ji,jj,ibld(ji,jj),Kbb) + vv(ji,jj-1,ibld(ji,jj) ,Kbb) ) & |
|---|
| 583 | & / MAX(1. , vmask(ji,jj,ibld(ji,jj) ) + vmask(ji,jj-1,ibld(ji,jj) ) ) |
|---|
| 584 | zdb_bl(ji,jj) = grav * zthermal * zdt_bl(ji,jj) - grav * zbeta * zds_bl(ji,jj) |
|---|
| 585 | zhbl(ji,jj) = gdepw(ji,jj,ibld(ji,jj),Kmm) |
|---|
| 586 | IF ( lconv(ji,jj) ) THEN |
|---|
| 587 | IF ( zdb_bl(ji,jj) > 0._wp )THEN |
|---|
| 588 | IF ( ( zwstrc(ji,jj) / zvstr(ji,jj) )**3 <= 0.5 ) THEN ! near neutral stability |
|---|
| 589 | zari = 4.5 * ( zvstr(ji,jj)**2 ) & |
|---|
| 590 | & / ( zdb_bl(ji,jj) * zhbl(ji,jj) ) + 0.01 |
|---|
| 591 | ELSE ! unstable |
|---|
| 592 | zari = 4.5 * ( zwstrc(ji,jj)**2 ) & |
|---|
| 593 | & / ( zdb_bl(ji,jj) * zhbl(ji,jj) ) + 0.01 |
|---|
| 594 | ENDIF |
|---|
| 595 | IF ( zari > 0.2 ) THEN ! This test checks for weakly stratified pycnocline |
|---|
| 596 | zari = 0.2 |
|---|
| 597 | zwb_ent(ji,jj) = 0._wp |
|---|
| 598 | ENDIF |
|---|
| 599 | inhml = MAX( INT( zari * zhbl(ji,jj) & |
|---|
| 600 | & / e3t(ji,jj,ibld(ji,jj),Kmm) ), 1 ) |
|---|
| 601 | imld(ji,jj) = MAX( ibld(ji,jj) - inhml, 1) |
|---|
| 602 | zhml(ji,jj) = gdepw(ji,jj,imld(ji,jj),Kmm) |
|---|
| 603 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
|---|
| 604 | ELSE ! IF (zdb_bl) |
|---|
| 605 | imld(ji,jj) = ibld(ji,jj) - 1 |
|---|
| 606 | zhml(ji,jj) = gdepw(ji,jj,imld(ji,jj),Kmm) |
|---|
| 607 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
|---|
| 608 | ENDIF |
|---|
| 609 | ELSE ! IF (lconv) |
|---|
| 610 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
|---|
| 611 | ! boundary layer deepening |
|---|
| 612 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 613 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
|---|
| 614 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
|---|
| 615 | & / ( zdb_bl(ji,jj) * zhbl(ji,jj) ) + 0.01 , 0.2 ) |
|---|
| 616 | inhml = MAX( INT( zari * zhbl(ji,jj) & |
|---|
| 617 | & / e3t(ji,jj,ibld(ji,jj),Kmm) ), 1 ) |
|---|
| 618 | imld(ji,jj) = MAX( ibld(ji,jj) - inhml, 1) |
|---|
| 619 | zhml(ji,jj) = gdepw(ji,jj,imld(ji,jj),Kmm) |
|---|
| 620 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
|---|
| 621 | ELSE |
|---|
| 622 | imld(ji,jj) = ibld(ji,jj) - 1 |
|---|
| 623 | zhml(ji,jj) = gdepw(ji,jj,imld(ji,jj),Kmm) |
|---|
| 624 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
|---|
| 625 | ENDIF ! IF (zdb_bl > 0.0) |
|---|
| 626 | ELSE ! IF(dhdt >= 0) |
|---|
| 627 | ! boundary layer collapsing. |
|---|
| 628 | imld(ji,jj) = ibld(ji,jj) |
|---|
| 629 | zhml(ji,jj) = zhbl(ji,jj) |
|---|
| 630 | zdh(ji,jj) = 0._wp |
|---|
| 631 | ENDIF ! IF (dhdt >= 0) |
|---|
| 632 | ENDIF ! IF (lconv) |
|---|
| 633 | END_2D |
|---|
| 634 | |
|---|
| 635 | ! Average over the depth of the mixed layer in the convective boundary layer |
|---|
| 636 | ! Also calculate entrainment fluxes for temperature and salinity |
|---|
| 637 | DO_2D_00_00 |
|---|
| 638 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
|---|
| 639 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 640 | IF ( lconv(ji,jj) ) THEN |
|---|
| 641 | zt = 0._wp |
|---|
| 642 | zs = 0._wp |
|---|
| 643 | zu = 0._wp |
|---|
| 644 | zv = 0._wp |
|---|
| 645 | ! average over depth of boundary layer |
|---|
| 646 | zthick=0._wp |
|---|
| 647 | DO jm = 2, imld(ji,jj) |
|---|
| 648 | zthick=zthick+e3t(ji,jj,jm,Kmm) |
|---|
| 649 | zt = zt + e3t(ji,jj,jm,Kmm) * ts(ji,jj,jm,jp_tem,Kmm) |
|---|
| 650 | zs = zs + e3t(ji,jj,jm,Kmm) * ts(ji,jj,jm,jp_sal,Kmm) |
|---|
| 651 | zu = zu + e3t(ji,jj,jm,Kmm) & |
|---|
| 652 | & * ( uu(ji,jj,jm,Kbb) + uu(ji - 1,jj,jm,Kbb) ) & |
|---|
| 653 | & / MAX( 1. , umask(ji,jj,jm) + umask(ji - 1,jj,jm) ) |
|---|
| 654 | zv = zv + e3t(ji,jj,jm,Kmm) & |
|---|
| 655 | & * ( vv(ji,jj,jm,Kbb) + vv(ji,jj - 1,jm,Kbb) ) & |
|---|
| 656 | & / MAX( 1. , vmask(ji,jj,jm) + vmask(ji,jj - 1,jm) ) |
|---|
| 657 | END DO |
|---|
| 658 | zt_ml(ji,jj) = zt / zthick |
|---|
| 659 | zs_ml(ji,jj) = zs / zthick |
|---|
| 660 | zu_ml(ji,jj) = zu / zthick |
|---|
| 661 | zv_ml(ji,jj) = zv / zthick |
|---|
| 662 | zdt_ml(ji,jj) = zt_ml(ji,jj) - ts(ji,jj,ibld(ji,jj),jp_tem,Kmm) |
|---|
| 663 | zds_ml(ji,jj) = zs_ml(ji,jj) - ts(ji,jj,ibld(ji,jj),jp_sal,Kmm) |
|---|
| 664 | zdu_ml(ji,jj) = zu_ml(ji,jj) - ( uu(ji,jj,ibld(ji,jj),Kbb) + uu(ji-1,jj,ibld(ji,jj) ,Kbb) ) & |
|---|
| 665 | & / MAX(1. , umask(ji,jj,ibld(ji,jj) ) + umask(ji-1,jj,ibld(ji,jj) ) ) |
|---|
| 666 | zdv_ml(ji,jj) = zv_ml(ji,jj) - ( vv(ji,jj,ibld(ji,jj),Kbb) + vv(ji,jj-1,ibld(ji,jj) ,Kbb) ) & |
|---|
| 667 | & / MAX(1. , vmask(ji,jj,ibld(ji,jj) ) + vmask(ji,jj-1,ibld(ji,jj) ) ) |
|---|
| 668 | zdb_ml(ji,jj) = grav * zthermal * zdt_ml(ji,jj) - grav * zbeta * zds_ml(ji,jj) |
|---|
| 669 | ELSE |
|---|
| 670 | ! stable, if entraining calulate average below interface layer. |
|---|
| 671 | IF ( zdhdt(ji,jj) >= 0._wp ) THEN |
|---|
| 672 | zt = 0._wp |
|---|
| 673 | zs = 0._wp |
|---|
| 674 | zu = 0._wp |
|---|
| 675 | zv = 0._wp |
|---|
| 676 | ! average over depth of boundary layer |
|---|
| 677 | zthick=0._wp |
|---|
| 678 | DO jm = 2, imld(ji,jj) |
|---|
| 679 | zthick=zthick+e3t(ji,jj,jm,Kmm) |
|---|
| 680 | zt = zt + e3t(ji,jj,jm,Kmm) * ts(ji,jj,jm,jp_tem,Kmm) |
|---|
| 681 | zs = zs + e3t(ji,jj,jm,Kmm) * ts(ji,jj,jm,jp_sal,Kmm) |
|---|
| 682 | zu = zu + e3t(ji,jj,jm,Kmm) & |
|---|
| 683 | & * ( uu(ji,jj,jm,Kbb) + uu(ji - 1,jj,jm,Kbb) ) & |
|---|
| 684 | & / MAX( 1. , umask(ji,jj,jm) + umask(ji - 1,jj,jm) ) |
|---|
| 685 | zv = zv + e3t(ji,jj,jm,Kmm) & |
|---|
| 686 | & * ( vv(ji,jj,jm,Kbb) + vv(ji,jj - 1,jm,Kbb) ) & |
|---|
| 687 | & / MAX( 1. , vmask(ji,jj,jm) + vmask(ji,jj - 1,jm) ) |
|---|
| 688 | END DO |
|---|
| 689 | zt_ml(ji,jj) = zt / zthick |
|---|
| 690 | zs_ml(ji,jj) = zs / zthick |
|---|
| 691 | zu_ml(ji,jj) = zu / zthick |
|---|
| 692 | zv_ml(ji,jj) = zv / zthick |
|---|
| 693 | zdt_ml(ji,jj) = zt_ml(ji,jj) - ts(ji,jj,ibld(ji,jj),jp_tem,Kmm) |
|---|
| 694 | zds_ml(ji,jj) = zs_ml(ji,jj) - ts(ji,jj,ibld(ji,jj),jp_sal,Kmm) |
|---|
| 695 | zdu_ml(ji,jj) = zu_ml(ji,jj) - ( uu(ji,jj,ibld(ji,jj),Kbb) + uu(ji-1,jj,ibld(ji,jj) ,Kbb) ) & |
|---|
| 696 | & / MAX(1. , umask(ji,jj,ibld(ji,jj) ) + umask(ji-1,jj,ibld(ji,jj) ) ) |
|---|
| 697 | zdv_ml(ji,jj) = zv_ml(ji,jj) - ( vv(ji,jj,ibld(ji,jj),Kbb) + vv(ji,jj-1,ibld(ji,jj) ,Kbb) ) & |
|---|
| 698 | & / MAX(1. , vmask(ji,jj,ibld(ji,jj) ) + vmask(ji,jj-1,ibld(ji,jj) ) ) |
|---|
| 699 | zdb_ml(ji,jj) = grav * zthermal * zdt_ml(ji,jj) - grav * zbeta * zds_ml(ji,jj) |
|---|
| 700 | ENDIF |
|---|
| 701 | ENDIF |
|---|
| 702 | END_2D |
|---|
| 703 | ! |
|---|
| 704 | ! rotate mean currents and changes onto wind align co-ordinates |
|---|
| 705 | ! |
|---|
| 706 | |
|---|
| 707 | DO_2D_00_00 |
|---|
| 708 | ztemp = zu_ml(ji,jj) |
|---|
| 709 | zu_ml(ji,jj) = zu_ml(ji,jj) * zcos_wind(ji,jj) + zv_ml(ji,jj) * zsin_wind(ji,jj) |
|---|
| 710 | zv_ml(ji,jj) = zv_ml(ji,jj) * zcos_wind(ji,jj) - ztemp * zsin_wind(ji,jj) |
|---|
| 711 | ztemp = zdu_ml(ji,jj) |
|---|
| 712 | zdu_ml(ji,jj) = zdu_ml(ji,jj) * zcos_wind(ji,jj) + zdv_ml(ji,jj) * zsin_wind(ji,jj) |
|---|
| 713 | zdv_ml(ji,jj) = zdv_ml(ji,jj) * zsin_wind(ji,jj) - ztemp * zsin_wind(ji,jj) |
|---|
| 714 | ! |
|---|
| 715 | ztemp = zu_bl(ji,jj) |
|---|
| 716 | zu_bl = zu_bl(ji,jj) * zcos_wind(ji,jj) + zv_bl(ji,jj) * zsin_wind(ji,jj) |
|---|
| 717 | zv_bl(ji,jj) = zv_bl(ji,jj) * zcos_wind(ji,jj) - ztemp * zsin_wind(ji,jj) |
|---|
| 718 | ztemp = zdu_bl(ji,jj) |
|---|
| 719 | zdu_bl(ji,jj) = zdu_bl(ji,jj) * zcos_wind(ji,jj) + zdv_bl(ji,jj) * zsin_wind(ji,jj) |
|---|
| 720 | zdv_bl(ji,jj) = zdv_bl(ji,jj) * zsin_wind(ji,jj) - ztemp * zsin_wind(ji,jj) |
|---|
| 721 | END_2D |
|---|
| 722 | |
|---|
| 723 | zuw_bse = 0._wp |
|---|
| 724 | zvw_bse = 0._wp |
|---|
| 725 | DO_2D_00_00 |
|---|
| 726 | |
|---|
| 727 | IF ( lconv(ji,jj) ) THEN |
|---|
| 728 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 729 | zwth_ent(ji,jj) = zwb_ent(ji,jj) * zdt_ml(ji,jj) / (zdb_ml(ji,jj) + epsln) |
|---|
| 730 | zws_ent(ji,jj) = zwb_ent(ji,jj) * zds_ml(ji,jj) / (zdb_ml(ji,jj) + epsln) |
|---|
| 731 | ENDIF |
|---|
| 732 | ELSE |
|---|
| 733 | zwth_ent(ji,jj) = -2.0 * zwthav(ji,jj) * ( (1.0 - 0.8) - ( 1.0 - 0.8)**(3.0/2.0) ) |
|---|
| 734 | zws_ent(ji,jj) = -2.0 * zwsav(ji,jj) * ( (1.0 - 0.8 ) - ( 1.0 - 0.8 )**(3.0/2.0) ) |
|---|
| 735 | ENDIF |
|---|
| 736 | END_2D |
|---|
| 737 | |
|---|
| 738 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 739 | ! Pycnocline gradients for scalars and velocity |
|---|
| 740 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 741 | |
|---|
| 742 | DO_2D_00_00 |
|---|
| 743 | ! |
|---|
| 744 | IF ( lconv (ji,jj) ) THEN |
|---|
| 745 | ! Unstable conditions |
|---|
| 746 | IF( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 747 | ! calculate pycnocline profiles, no need if zdb_bl <= 0. since profile is zero and arrays have been initialized to zero |
|---|
| 748 | ztgrad = ( zdt_ml(ji,jj) / zdh(ji,jj) ) |
|---|
| 749 | zsgrad = ( zds_ml(ji,jj) / zdh(ji,jj) ) |
|---|
| 750 | zbgrad = ( zdb_ml(ji,jj) / zdh(ji,jj) ) |
|---|
| 751 | DO jk = 2 , ibld(ji,jj) |
|---|
| 752 | znd = -( gdepw(ji,jj,jk,Kmm) - zhml(ji,jj) ) / zdh(ji,jj) |
|---|
| 753 | zdtdz_pyc(ji,jj,jk) = ztgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 754 | zdbdz_pyc(ji,jj,jk) = zbgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 755 | zdsdz_pyc(ji,jj,jk) = zsgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 756 | END DO |
|---|
| 757 | ENDIF |
|---|
| 758 | ELSE |
|---|
| 759 | ! stable conditions |
|---|
| 760 | ! if pycnocline profile only defined when depth steady of increasing. |
|---|
| 761 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! Depth increasing, or steady. |
|---|
| 762 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 763 | IF ( zhol(ji,jj) >= 0.5 ) THEN ! Very stable - 'thick' pycnocline |
|---|
| 764 | ztgrad = zdt_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 765 | zsgrad = zds_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 766 | zbgrad = zdb_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 767 | DO jk = 2, ibld(ji,jj) |
|---|
| 768 | znd = gdepw(ji,jj,jk,Kmm) / zhbl(ji,jj) |
|---|
| 769 | zdtdz_pyc(ji,jj,jk) = ztgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 770 | zdbdz_pyc(ji,jj,jk) = zbgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 771 | zdsdz_pyc(ji,jj,jk) = zsgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 772 | END DO |
|---|
| 773 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
|---|
| 774 | ztgrad = zdt_bl(ji,jj) / zdh(ji,jj) |
|---|
| 775 | zsgrad = zds_bl(ji,jj) / zdh(ji,jj) |
|---|
| 776 | zbgrad = zdb_bl(ji,jj) / zdh(ji,jj) |
|---|
| 777 | DO jk = 2, ibld(ji,jj) |
|---|
| 778 | znd = -( gdepw(ji,jj,jk,Kmm) - zhml(ji,jj) ) / zdh(ji,jj) |
|---|
| 779 | zdtdz_pyc(ji,jj,jk) = ztgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 780 | zdbdz_pyc(ji,jj,jk) = zbgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 781 | zdsdz_pyc(ji,jj,jk) = zsgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 782 | END DO |
|---|
| 783 | ENDIF ! IF (zhol >=0.5) |
|---|
| 784 | ENDIF ! IF (zdb_bl> 0.) |
|---|
| 785 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero, profile arrays are intialized to zero |
|---|
| 786 | ENDIF ! IF (lconv) |
|---|
| 787 | ! |
|---|
| 788 | END_2D |
|---|
| 789 | ! |
|---|
| 790 | DO_2D_00_00 |
|---|
| 791 | ! |
|---|
| 792 | IF ( lconv (ji,jj) ) THEN |
|---|
| 793 | ! Unstable conditions |
|---|
| 794 | zugrad = ( zdu_ml(ji,jj) / zdh(ji,jj) ) + 0.275 * zustar(ji,jj)*zustar(ji,jj) / & |
|---|
| 795 | & (( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) / zla(ji,jj)**(8.0/3.0) |
|---|
| 796 | zvgrad = ( zdv_ml(ji,jj) / zdh(ji,jj) ) + 3.5 * ff_t(ji,jj) * zustke(ji,jj) / & |
|---|
| 797 | & ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 798 | DO jk = 2 , ibld(ji,jj)-1 |
|---|
| 799 | znd = -( gdepw(ji,jj,jk,Kmm) - zhml(ji,jj) ) / zdh(ji,jj) |
|---|
| 800 | zdudz_pyc(ji,jj,jk) = zugrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 801 | zdvdz_pyc(ji,jj,jk) = zvgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 802 | END DO |
|---|
| 803 | ELSE |
|---|
| 804 | ! stable conditions |
|---|
| 805 | zugrad = 3.25 * zdu_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 806 | zvgrad = 2.75 * zdv_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 807 | DO jk = 2, ibld(ji,jj) |
|---|
| 808 | znd = gdepw(ji,jj,jk,Kmm) / zhbl(ji,jj) |
|---|
| 809 | IF ( znd < 1.0 ) THEN |
|---|
| 810 | zdudz_pyc(ji,jj,jk) = zugrad * EXP( -40.0 * ( znd - 1.0 )**2 ) |
|---|
| 811 | ELSE |
|---|
| 812 | zdudz_pyc(ji,jj,jk) = zugrad * EXP( -20.0 * ( znd - 1.0 )**2 ) |
|---|
| 813 | ENDIF |
|---|
| 814 | zdvdz_pyc(ji,jj,jk) = zvgrad * EXP( -20.0 * ( znd - 0.85 )**2 ) |
|---|
| 815 | END DO |
|---|
| 816 | ENDIF |
|---|
| 817 | ! |
|---|
| 818 | END_2D |
|---|
| 819 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 820 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
|---|
| 821 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 822 | |
|---|
| 823 | ! WHERE ( lconv ) |
|---|
| 824 | ! zdifml_sc = zhml * ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird |
|---|
| 825 | ! zvisml_sc = zdifml_sc |
|---|
| 826 | ! zdifpyc_sc = 0.165 * ( zwstrl**3 + zwstrc**3 )**pthird * ( zhbl - zhml ) |
|---|
| 827 | ! zvispyc_sc = 0.142 * ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * ( zhbl - zhml ) |
|---|
| 828 | ! zbeta_d_sc = 1.0 - (0.165 / 0.8 * ( zhbl - zhml ) / zhbl )**p2third |
|---|
| 829 | ! zbeta_v_sc = 1.0 - 2.0 * (0.142 /0.375) * (zhbl - zhml ) / zhml |
|---|
| 830 | ! ELSEWHERE |
|---|
| 831 | ! zdifml_sc = zwstrl * zhbl * EXP ( -( zhol / 0.183_wp )**2 ) |
|---|
| 832 | ! zvisml_sc = zwstrl * zhbl * EXP ( -( zhol / 0.183_wp )**2 ) |
|---|
| 833 | ! ENDWHERE |
|---|
| 834 | DO_2D_00_00 |
|---|
| 835 | IF ( lconv(ji,jj) ) THEN |
|---|
| 836 | zdifml_sc(ji,jj) = zhml(ji,jj) * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 837 | zvisml_sc(ji,jj) = zdifml_sc(ji,jj) |
|---|
| 838 | zdifpyc_sc(ji,jj) = 0.165 * ( zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3 )**pthird * zdh(ji,jj) |
|---|
| 839 | zvispyc_sc(ji,jj) = 0.142 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zdh(ji,jj) |
|---|
| 840 | zbeta_d_sc(ji,jj) = 1.0 - (0.165 / 0.8 * zdh(ji,jj) / zhbl(ji,jj) )**p2third |
|---|
| 841 | zbeta_v_sc(ji,jj) = 1.0 - 2.0 * (0.142 /0.375) * zdh(ji,jj) / zhml(ji,jj) |
|---|
| 842 | ELSE |
|---|
| 843 | zdifml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ) |
|---|
| 844 | zvisml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ) |
|---|
| 845 | END IF |
|---|
| 846 | END_2D |
|---|
| 847 | ! |
|---|
| 848 | DO_2D_00_00 |
|---|
| 849 | IF ( lconv(ji,jj) ) THEN |
|---|
| 850 | DO jk = 2, imld(ji,jj) ! mixed layer diffusivity |
|---|
| 851 | zznd_ml = gdepw(ji,jj,jk,Kmm) / zhml(ji,jj) |
|---|
| 852 | ! |
|---|
| 853 | zdiffut(ji,jj,jk) = 0.8 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
|---|
| 854 | ! |
|---|
| 855 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_v_sc(ji,jj) * zznd_ml ) & |
|---|
| 856 | & * ( 1.0 - 0.5 * zznd_ml**2 ) |
|---|
| 857 | END DO |
|---|
| 858 | ! pycnocline - if present linear profile |
|---|
| 859 | IF ( zdh(ji,jj) > 0._wp ) THEN |
|---|
| 860 | DO jk = imld(ji,jj)+1 , ibld(ji,jj) |
|---|
| 861 | zznd_pyc = -( gdepw(ji,jj,jk,Kmm) - zhml(ji,jj) ) / zdh(ji,jj) |
|---|
| 862 | ! |
|---|
| 863 | zdiffut(ji,jj,jk) = zdifpyc_sc(ji,jj) * ( 1.0 + zznd_pyc ) |
|---|
| 864 | ! |
|---|
| 865 | zviscos(ji,jj,jk) = zvispyc_sc(ji,jj) * ( 1.0 + zznd_pyc ) |
|---|
| 866 | END DO |
|---|
| 867 | ENDIF |
|---|
| 868 | ! Temporay fix to ensure zdiffut is +ve; won't be necessary with ww taken out |
|---|
| 869 | zdiffut(ji,jj,ibld(ji,jj)) = zdhdt(ji,jj)* e3t(ji,jj,ibld(ji,jj),Kmm) |
|---|
| 870 | ! could be taken out, take account of entrainment represents as a diffusivity |
|---|
| 871 | ! should remove w from here, represents entrainment |
|---|
| 872 | ELSE |
|---|
| 873 | ! stable conditions |
|---|
| 874 | DO jk = 2, ibld(ji,jj) |
|---|
| 875 | zznd_ml = gdepw(ji,jj,jk,Kmm) / zhbl(ji,jj) |
|---|
| 876 | zdiffut(ji,jj,jk) = 0.75 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zznd_ml )**1.5 |
|---|
| 877 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * (1.0 - zznd_ml) * ( 1.0 - zznd_ml**2 ) |
|---|
| 878 | END DO |
|---|
| 879 | ENDIF ! end if ( lconv ) |
|---|
| 880 | ! |
|---|
| 881 | END_2D |
|---|
| 882 | |
|---|
| 883 | ! |
|---|
| 884 | ! calculate non-gradient components of the flux-gradient relationships |
|---|
| 885 | ! |
|---|
| 886 | ! Stokes term in scalar flux, flux-gradient relationship |
|---|
| 887 | WHERE ( lconv ) |
|---|
| 888 | zsc_wth_1 = zwstrl**3 * zwth0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln) |
|---|
| 889 | ! |
|---|
| 890 | zsc_ws_1 = zwstrl**3 * zws0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 891 | ELSEWHERE |
|---|
| 892 | zsc_wth_1 = 2.0 * zwthav |
|---|
| 893 | ! |
|---|
| 894 | zsc_ws_1 = 2.0 * zwsav |
|---|
| 895 | ENDWHERE |
|---|
| 896 | |
|---|
| 897 | |
|---|
| 898 | DO_2D_00_00 |
|---|
| 899 | IF ( lconv(ji,jj) ) THEN |
|---|
| 900 | DO jk = 2, imld(ji,jj) |
|---|
| 901 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
|---|
| 902 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.35 * EXP ( -zznd_d ) * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
|---|
| 903 | ! |
|---|
| 904 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.35 * EXP ( -zznd_d ) * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
|---|
| 905 | END DO ! end jk loop |
|---|
| 906 | ELSE ! else for if (lconv) |
|---|
| 907 | ! Stable conditions |
|---|
| 908 | DO jk = 2, ibld(ji,jj) |
|---|
| 909 | zznd_d=gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
|---|
| 910 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.5 * EXP ( -0.9 * zznd_d ) & |
|---|
| 911 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
|---|
| 912 | ! |
|---|
| 913 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.5 * EXP ( -0.9 * zznd_d ) & |
|---|
| 914 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
|---|
| 915 | END DO |
|---|
| 916 | ENDIF ! endif for check on lconv |
|---|
| 917 | |
|---|
| 918 | END_2D |
|---|
| 919 | |
|---|
| 920 | |
|---|
| 921 | ! Stokes term in flux-gradient relationship (note in zsc_uw_n don't use zvstr since term needs to go to zero as zwstrl goes to zero) |
|---|
| 922 | WHERE ( lconv ) |
|---|
| 923 | zsc_uw_1 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke /( 1.0 - 1.0 * 6.5 * zla**(8.0/3.0) ) |
|---|
| 924 | zsc_uw_2 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / ( zla**(8.0/3.0) + epsln ) |
|---|
| 925 | zsc_vw_1 = ff_t * zhml * zustke**3 * zla**(8.0/3.0) / ( ( zvstr**3 + 0.5 * zwstrc**3 )**(2.0/3.0) + epsln ) |
|---|
| 926 | ELSEWHERE |
|---|
| 927 | zsc_uw_1 = zustar**2 |
|---|
| 928 | zsc_vw_1 = ff_t * zhbl * zustke**3 * zla**(8.0/3.0) / (zvstr**2 + epsln) |
|---|
| 929 | ENDWHERE |
|---|
| 930 | |
|---|
| 931 | DO_2D_00_00 |
|---|
| 932 | IF ( lconv(ji,jj) ) THEN |
|---|
| 933 | DO jk = 2, imld(ji,jj) |
|---|
| 934 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
|---|
| 935 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05 * EXP ( -0.4 * zznd_d ) * zsc_uw_1(ji,jj) & |
|---|
| 936 | & + 0.00125 * EXP ( - zznd_d ) * zsc_uw_2(ji,jj) ) & |
|---|
| 937 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) |
|---|
| 938 | ! |
|---|
| 939 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65 * 0.15 * EXP ( - zznd_d ) & |
|---|
| 940 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_vw_1(ji,jj) |
|---|
| 941 | END DO ! end jk loop |
|---|
| 942 | ELSE |
|---|
| 943 | ! Stable conditions |
|---|
| 944 | DO jk = 2, ibld(ji,jj) ! corrected to ibld |
|---|
| 945 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
|---|
| 946 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75 * 1.3 * EXP ( -0.5 * zznd_d ) & |
|---|
| 947 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_uw_1(ji,jj) |
|---|
| 948 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0._wp |
|---|
| 949 | END DO ! end jk loop |
|---|
| 950 | ENDIF |
|---|
| 951 | END_2D |
|---|
| 952 | |
|---|
| 953 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio (X0.3) and pressure (X0.5)] |
|---|
| 954 | |
|---|
| 955 | WHERE ( lconv ) |
|---|
| 956 | zsc_wth_1 = zwbav * zwth0 * ( 1.0 + EXP ( 0.2 * zhol ) ) / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 957 | zsc_ws_1 = zwbav * zws0 * ( 1.0 + EXP ( 0.2 * zhol ) ) / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 958 | ELSEWHERE |
|---|
| 959 | zsc_wth_1 = 0._wp |
|---|
| 960 | zsc_ws_1 = 0._wp |
|---|
| 961 | ENDWHERE |
|---|
| 962 | |
|---|
| 963 | DO_2D_00_00 |
|---|
| 964 | IF (lconv(ji,jj) ) THEN |
|---|
| 965 | DO jk = 2, imld(ji,jj) |
|---|
| 966 | zznd_ml = gdepw(ji,jj,jk,Kmm) / zhml(ji,jj) |
|---|
| 967 | ! calculate turbulent length scale |
|---|
| 968 | zl_c = 0.9 * ( 1.0 - EXP ( - 7.0 * ( zznd_ml - zznd_ml**3 / 3.0 ) ) ) & |
|---|
| 969 | & * ( 1.0 - EXP ( -15.0 * ( 1.1 - zznd_ml ) ) ) |
|---|
| 970 | zl_l = 2.0 * ( 1.0 - EXP ( - 2.0 * ( zznd_ml - zznd_ml**3 / 3.0 ) ) ) & |
|---|
| 971 | & * ( 1.0 - EXP ( - 5.0 * ( 1.0 - zznd_ml ) ) ) * ( 1.0 + dstokes(ji,jj) / zhml (ji,jj) ) |
|---|
| 972 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0 + EXP ( 3.0 * LOG10 ( - zhol(ji,jj) ) ) ) ** (3.0/2.0) |
|---|
| 973 | ! non-gradient buoyancy terms |
|---|
| 974 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * 0.5 * zsc_wth_1(ji,jj) * zl_eps * zhml(ji,jj) / ( 0.15 + zznd_ml ) |
|---|
| 975 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * 0.5 * zsc_ws_1(ji,jj) * zl_eps * zhml(ji,jj) / ( 0.15 + zznd_ml ) |
|---|
| 976 | END DO |
|---|
| 977 | ELSE |
|---|
| 978 | DO jk = 2, ibld(ji,jj) |
|---|
| 979 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
|---|
| 980 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
|---|
| 981 | END DO |
|---|
| 982 | ENDIF |
|---|
| 983 | END_2D |
|---|
| 984 | |
|---|
| 985 | |
|---|
| 986 | WHERE ( lconv ) |
|---|
| 987 | zsc_uw_1 = -zwb0 * zustar**2 * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 988 | zsc_uw_2 = zwb0 * zustke * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln )**(2.0/3.0) |
|---|
| 989 | zsc_vw_1 = 0._wp |
|---|
| 990 | ELSEWHERE |
|---|
| 991 | zsc_uw_1 = 0._wp |
|---|
| 992 | zsc_vw_1 = 0._wp |
|---|
| 993 | ENDWHERE |
|---|
| 994 | |
|---|
| 995 | DO_2D_00_00 |
|---|
| 996 | IF ( lconv(ji,jj) ) THEN |
|---|
| 997 | DO jk = 2 , imld(ji,jj) |
|---|
| 998 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
|---|
| 999 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3 * 0.5 * ( zsc_uw_1(ji,jj) + 0.125 * EXP( -0.5 * zznd_d ) & |
|---|
| 1000 | & * ( 1.0 - EXP( -0.5 * zznd_d ) ) & |
|---|
| 1001 | & * zsc_uw_2(ji,jj) ) |
|---|
| 1002 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
|---|
| 1003 | END DO ! jk loop |
|---|
| 1004 | ELSE |
|---|
| 1005 | ! stable conditions |
|---|
| 1006 | DO jk = 2, ibld(ji,jj) |
|---|
| 1007 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
|---|
| 1008 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
|---|
| 1009 | END DO |
|---|
| 1010 | ENDIF |
|---|
| 1011 | END_2D |
|---|
| 1012 | |
|---|
| 1013 | ! Transport term in flux-gradient relationship [note : includes ROI ratio (X0.3) ] |
|---|
| 1014 | |
|---|
| 1015 | WHERE ( lconv ) |
|---|
| 1016 | zsc_wth_1 = zwth0 |
|---|
| 1017 | zsc_ws_1 = zws0 |
|---|
| 1018 | ELSEWHERE |
|---|
| 1019 | zsc_wth_1 = 2.0 * zwthav |
|---|
| 1020 | zsc_ws_1 = zws0 |
|---|
| 1021 | ENDWHERE |
|---|
| 1022 | |
|---|
| 1023 | DO_2D_00_00 |
|---|
| 1024 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1025 | DO jk = 2, imld(ji,jj) |
|---|
| 1026 | zznd_ml=gdepw(ji,jj,jk,Kmm) / zhml(ji,jj) |
|---|
| 1027 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * zsc_wth_1(ji,jj) & |
|---|
| 1028 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
|---|
| 1029 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
|---|
| 1030 | & * ( 1.0 - EXP( - 15.0 * ( 1.0 - zznd_ml ) ) ) |
|---|
| 1031 | ! |
|---|
| 1032 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * zsc_ws_1(ji,jj) & |
|---|
| 1033 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
|---|
| 1034 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
|---|
| 1035 | & * ( 1.0 - EXP ( -15.0 * ( 1.0 - zznd_ml ) ) ) |
|---|
| 1036 | END DO |
|---|
| 1037 | ELSE |
|---|
| 1038 | DO jk = 2, ibld(ji,jj) |
|---|
| 1039 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
|---|
| 1040 | znd = gdepw(ji,jj,jk,Kmm) / zhbl(ji,jj) |
|---|
| 1041 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
|---|
| 1042 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_wth_1(ji,jj) |
|---|
| 1043 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
|---|
| 1044 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_ws_1(ji,jj) |
|---|
| 1045 | END DO |
|---|
| 1046 | ENDIF |
|---|
| 1047 | END_2D |
|---|
| 1048 | |
|---|
| 1049 | |
|---|
| 1050 | WHERE ( lconv ) |
|---|
| 1051 | zsc_uw_1 = zustar**2 |
|---|
| 1052 | zsc_vw_1 = ff_t * zustke * zhml |
|---|
| 1053 | ELSEWHERE |
|---|
| 1054 | zsc_uw_1 = zustar**2 |
|---|
| 1055 | zsc_uw_2 = (2.25 - 3.0 * ( 1.0 - EXP( -1.25 * 2.0 ) ) ) * ( 1.0 - EXP( -4.0 * 2.0 ) ) * zsc_uw_1 |
|---|
| 1056 | zsc_vw_1 = ff_t * zustke * zhbl |
|---|
| 1057 | zsc_vw_2 = -0.11 * SIN( 3.14159 * ( 2.0 + 0.4 ) ) * EXP(-( 1.5 + 2.0 )**2 ) * zsc_vw_1 |
|---|
| 1058 | ENDWHERE |
|---|
| 1059 | |
|---|
| 1060 | DO_2D_00_00 |
|---|
| 1061 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1062 | DO jk = 2, imld(ji,jj) |
|---|
| 1063 | zznd_ml = gdepw(ji,jj,jk,Kmm) / zhml(ji,jj) |
|---|
| 1064 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
|---|
| 1065 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
|---|
| 1066 | & + 0.3 * ( -2.0 + 2.5 * ( 1.0 + 0.1 * zznd_ml**4 ) - EXP ( -8.0 * zznd_ml ) ) * zsc_uw_1(ji,jj) |
|---|
| 1067 | ! |
|---|
| 1068 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 1069 | & + 0.3 * 0.1 * ( EXP( -zznd_d ) + EXP( -5.0 * ( 1.0 - zznd_ml ) ) ) * zsc_vw_1(ji,jj) |
|---|
| 1070 | END DO |
|---|
| 1071 | ELSE |
|---|
| 1072 | DO jk = 2, ibld(ji,jj) |
|---|
| 1073 | znd = gdepw(ji,jj,jk,Kmm) / zhbl(ji,jj) |
|---|
| 1074 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
|---|
| 1075 | IF ( zznd_d <= 2.0 ) THEN |
|---|
| 1076 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5 * 0.3 & |
|---|
| 1077 | &* ( 2.25 - 3.0 * ( 1.0 - EXP( - 1.25 * zznd_d ) ) * ( 1.0 - EXP( -2.0 * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
|---|
| 1078 | ! |
|---|
| 1079 | ELSE |
|---|
| 1080 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
|---|
| 1081 | & + 0.5 * 0.3 * ( 1.0 - EXP( -5.0 * ( 1.0 - znd ) ) ) * zsc_uw_2(ji,jj) |
|---|
| 1082 | ! |
|---|
| 1083 | ENDIF |
|---|
| 1084 | |
|---|
| 1085 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 1086 | & + 0.3 * 0.15 * SIN( 3.14159 * ( 0.65 * zznd_d ) ) * EXP( -0.25 * zznd_d**2 ) * zsc_vw_1(ji,jj) |
|---|
| 1087 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 1088 | & + 0.3 * 0.15 * EXP( -5.0 * ( 1.0 - znd ) ) * ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
|---|
| 1089 | END DO |
|---|
| 1090 | ENDIF |
|---|
| 1091 | END_2D |
|---|
| 1092 | ! |
|---|
| 1093 | ! Make surface forced velocity non-gradient terms go to zero at the base of the mixed layer. |
|---|
| 1094 | |
|---|
| 1095 | DO_2D_00_00 |
|---|
| 1096 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1097 | DO jk = 2, ibld(ji,jj) |
|---|
| 1098 | znd = ( gdepw(ji,jj,jk,Kmm) - zhml(ji,jj) ) / zhml(ji,jj) !ALMG to think about |
|---|
| 1099 | IF ( znd >= 0.0 ) THEN |
|---|
| 1100 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -30.0 * znd**2 ) ) |
|---|
| 1101 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -30.0 * znd**2 ) ) |
|---|
| 1102 | ELSE |
|---|
| 1103 | ghamu(ji,jj,jk) = 0._wp |
|---|
| 1104 | ghamv(ji,jj,jk) = 0._wp |
|---|
| 1105 | ENDIF |
|---|
| 1106 | END DO |
|---|
| 1107 | ELSE |
|---|
| 1108 | DO jk = 2, ibld(ji,jj) |
|---|
| 1109 | znd = ( gdepw(ji,jj,jk,Kmm) - zhml(ji,jj) ) / zhml(ji,jj) !ALMG to think about |
|---|
| 1110 | IF ( znd >= 0.0 ) THEN |
|---|
| 1111 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
|---|
| 1112 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
|---|
| 1113 | ELSE |
|---|
| 1114 | ghamu(ji,jj,jk) = 0._wp |
|---|
| 1115 | ghamv(ji,jj,jk) = 0._wp |
|---|
| 1116 | ENDIF |
|---|
| 1117 | END DO |
|---|
| 1118 | ENDIF |
|---|
| 1119 | END_2D |
|---|
| 1120 | |
|---|
| 1121 | ! pynocline contributions |
|---|
| 1122 | ! Temporary fix to avoid instabilities when zdb_bl becomes very very small |
|---|
| 1123 | zsc_uw_1 = 0._wp ! 50.0 * zla**(8.0/3.0) * zustar**2 * zhbl / ( zdb_bl + epsln ) |
|---|
| 1124 | DO_2D_00_00 |
|---|
| 1125 | DO jk= 2, ibld(ji,jj) |
|---|
| 1126 | znd = gdepw(ji,jj,jk,Kmm) / zhbl(ji,jj) |
|---|
| 1127 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zdiffut(ji,jj,jk) * zdtdz_pyc(ji,jj,jk) |
|---|
| 1128 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zdiffut(ji,jj,jk) * zdsdz_pyc(ji,jj,jk) |
|---|
| 1129 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zviscos(ji,jj,jk) * zdudz_pyc(ji,jj,jk) |
|---|
| 1130 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) * ( 1.0 - znd )**(7.0/4.0) * zdbdz_pyc(ji,jj,jk) |
|---|
| 1131 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zviscos(ji,jj,jk) * zdvdz_pyc(ji,jj,jk) |
|---|
| 1132 | END DO |
|---|
| 1133 | END_2D |
|---|
| 1134 | |
|---|
| 1135 | ! Entrainment contribution. |
|---|
| 1136 | |
|---|
| 1137 | DO_2D_00_00 |
|---|
| 1138 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1139 | DO jk = 1, imld(ji,jj) - 1 |
|---|
| 1140 | znd=gdepw(ji,jj,jk,Kmm) / zhml(ji,jj) |
|---|
| 1141 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zwth_ent(ji,jj) * znd |
|---|
| 1142 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws_ent(ji,jj) * znd |
|---|
| 1143 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zuw_bse(ji,jj) * znd |
|---|
| 1144 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zvw_bse(ji,jj) * znd |
|---|
| 1145 | END DO |
|---|
| 1146 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 1147 | znd = -( gdepw(ji,jj,jk,Kmm) - zhml(ji,jj) ) / zdh(ji,jj) |
|---|
| 1148 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zwth_ent(ji,jj) * ( 1.0 + znd ) |
|---|
| 1149 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws_ent(ji,jj) * ( 1.0 + znd ) |
|---|
| 1150 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zuw_bse(ji,jj) * ( 1.0 + znd ) |
|---|
| 1151 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zvw_bse(ji,jj) * ( 1.0 + znd ) |
|---|
| 1152 | END DO |
|---|
| 1153 | ENDIF |
|---|
| 1154 | ghamt(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1155 | ghams(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1156 | ghamu(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1157 | ghamv(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1158 | END_2D |
|---|
| 1159 | |
|---|
| 1160 | |
|---|
| 1161 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 1162 | ! Need to put in code for contributions that are applied explicitly to |
|---|
| 1163 | ! the prognostic variables |
|---|
| 1164 | ! 1. Entrainment flux |
|---|
| 1165 | ! |
|---|
| 1166 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 1167 | |
|---|
| 1168 | |
|---|
| 1169 | |
|---|
| 1170 | ! rotate non-gradient velocity terms back to model reference frame |
|---|
| 1171 | |
|---|
| 1172 | DO_2D_00_00 |
|---|
| 1173 | DO jk = 2, ibld(ji,jj) |
|---|
| 1174 | ztemp = ghamu(ji,jj,jk) |
|---|
| 1175 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * zcos_wind(ji,jj) - ghamv(ji,jj,jk) * zsin_wind(ji,jj) |
|---|
| 1176 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * zcos_wind(ji,jj) + ztemp * zsin_wind(ji,jj) |
|---|
| 1177 | END DO |
|---|
| 1178 | END_2D |
|---|
| 1179 | |
|---|
| 1180 | IF(ln_dia_osm) THEN |
|---|
| 1181 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
|---|
| 1182 | END IF |
|---|
| 1183 | |
|---|
| 1184 | ! KPP-style Ri# mixing |
|---|
| 1185 | IF( ln_kpprimix) THEN |
|---|
| 1186 | DO_3D_10_10( 2, jpkm1 ) |
|---|
| 1187 | z3du(ji,jj,jk) = 0.5 * ( uu(ji,jj,jk-1,Kmm) - uu(ji ,jj,jk,Kmm) ) & |
|---|
| 1188 | & * ( uu(ji,jj,jk-1,Kbb) - uu(ji ,jj,jk,Kbb) ) * wumask(ji,jj,jk) & |
|---|
| 1189 | & / ( e3uw(ji,jj,jk,Kmm) * e3uw(ji,jj,jk,Kbb) ) |
|---|
| 1190 | z3dv(ji,jj,jk) = 0.5 * ( vv(ji,jj,jk-1,Kmm) - vv(ji,jj ,jk,Kmm) ) & |
|---|
| 1191 | & * ( vv(ji,jj,jk-1,Kbb) - vv(ji,jj ,jk,Kbb) ) * wvmask(ji,jj,jk) & |
|---|
| 1192 | & / ( e3vw(ji,jj,jk,Kmm) * e3vw(ji,jj,jk,Kbb) ) |
|---|
| 1193 | END_3D |
|---|
| 1194 | ! |
|---|
| 1195 | DO_3D_00_00( 2, jpkm1 ) |
|---|
| 1196 | ! ! shear prod. at w-point weightened by mask |
|---|
| 1197 | zesh2 = ( z3du(ji-1,jj,jk) + z3du(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) & |
|---|
| 1198 | & + ( z3dv(ji,jj-1,jk) + z3dv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
|---|
| 1199 | ! ! local Richardson number |
|---|
| 1200 | zri = MAX( rn2b(ji,jj,jk), 0._wp ) / MAX(zesh2, epsln) |
|---|
| 1201 | zfri = MIN( zri / rn_riinfty , 1.0_wp ) |
|---|
| 1202 | zfri = ( 1.0_wp - zfri * zfri ) |
|---|
| 1203 | zrimix(ji,jj,jk) = zfri * zfri * zfri * wmask(ji, jj, jk) |
|---|
| 1204 | END_3D |
|---|
| 1205 | |
|---|
| 1206 | DO_2D_00_00 |
|---|
| 1207 | DO jk = ibld(ji,jj) + 1, jpkm1 |
|---|
| 1208 | zdiffut(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
|---|
| 1209 | zviscos(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
|---|
| 1210 | END DO |
|---|
| 1211 | END_2D |
|---|
| 1212 | |
|---|
| 1213 | END IF ! ln_kpprimix = .true. |
|---|
| 1214 | |
|---|
| 1215 | ! KPP-style set diffusivity large if unstable below BL |
|---|
| 1216 | IF( ln_convmix) THEN |
|---|
| 1217 | DO_2D_00_00 |
|---|
| 1218 | DO jk = ibld(ji,jj) + 1, jpkm1 |
|---|
| 1219 | IF( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1.e-12 ) zdiffut(ji,jj,jk) = rn_difconv |
|---|
| 1220 | END DO |
|---|
| 1221 | END_2D |
|---|
| 1222 | END IF ! ln_convmix = .true. |
|---|
| 1223 | |
|---|
| 1224 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
|---|
| 1225 | CALL lbc_lnk( 'zdfosm', zviscos(:,:,:), 'W', 1.0_wp ) |
|---|
| 1226 | |
|---|
| 1227 | ! GN 25/8: need to change tmask --> wmask |
|---|
| 1228 | |
|---|
| 1229 | DO_3D_00_00( 2, jpkm1 ) |
|---|
| 1230 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1231 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1232 | END_3D |
|---|
| 1233 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and v grids |
|---|
| 1234 | CALL lbc_lnk_multi( 'zdfosm', p_avt, 'W', 1.0_wp , p_avm, 'W', 1.0_wp, & |
|---|
| 1235 | & ghamu, 'W', 1.0_wp , ghamv, 'W', 1.0_wp ) |
|---|
| 1236 | DO_3D_00_00( 2, jpkm1 ) |
|---|
| 1237 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) & |
|---|
| 1238 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
|---|
| 1239 | |
|---|
| 1240 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) & |
|---|
| 1241 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
|---|
| 1242 | |
|---|
| 1243 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1244 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1245 | END_3D |
|---|
| 1246 | ! Lateral boundary conditions on final outputs for gham[ts], on W-grid (sign unchanged) |
|---|
| 1247 | ! Lateral boundary conditions on final outputs for gham[uv], on [UV]-grid (sign unchanged) |
|---|
| 1248 | CALL lbc_lnk_multi( 'zdfosm', ghamt, 'W', 1.0_wp , ghams, 'W', 1.0_wp, & |
|---|
| 1249 | & ghamu, 'U', 1.0_wp , ghamv, 'V', 1.0_wp ) |
|---|
| 1250 | |
|---|
| 1251 | IF(ln_dia_osm) THEN |
|---|
| 1252 | SELECT CASE (nn_osm_wave) |
|---|
| 1253 | ! Stokes drift set by assumimg onstant La#=0.3(=0) or Pierson-Moskovitz spectrum (=1). |
|---|
| 1254 | CASE(0:1) |
|---|
| 1255 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", tmask(:,:,1)*zustke*zcos_wind ) ! x surface Stokes drift |
|---|
| 1256 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", tmask(:,:,1)*zustke*zsin_wind ) ! y surface Stokes drift |
|---|
| 1257 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rho0*tmask(:,:,1)*zustar**2*zustke ) |
|---|
| 1258 | ! Stokes drift read in from sbcwave (=2). |
|---|
| 1259 | CASE(2) |
|---|
| 1260 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", ut0sd ) ! x surface Stokes drift |
|---|
| 1261 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", vt0sd ) ! y surface Stokes drift |
|---|
| 1262 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rho0*tmask(:,:,1)*zustar**2* & |
|---|
| 1263 | & SQRT(ut0sd**2 + vt0sd**2 ) ) |
|---|
| 1264 | END SELECT |
|---|
| 1265 | IF ( iom_use("ghamt") ) CALL iom_put( "ghamt", tmask*ghamt ) ! <Tw_NL> |
|---|
| 1266 | IF ( iom_use("ghams") ) CALL iom_put( "ghams", tmask*ghams ) ! <Sw_NL> |
|---|
| 1267 | IF ( iom_use("ghamu") ) CALL iom_put( "ghamu", umask*ghamu ) ! <uw_NL> |
|---|
| 1268 | IF ( iom_use("ghamv") ) CALL iom_put( "ghamv", vmask*ghamv ) ! <vw_NL> |
|---|
| 1269 | IF ( iom_use("zwth0") ) CALL iom_put( "zwth0", tmask(:,:,1)*zwth0 ) ! <Tw_0> |
|---|
| 1270 | IF ( iom_use("zws0") ) CALL iom_put( "zws0", tmask(:,:,1)*zws0 ) ! <Sw_0> |
|---|
| 1271 | IF ( iom_use("hbl") ) CALL iom_put( "hbl", tmask(:,:,1)*hbl ) ! boundary-layer depth |
|---|
| 1272 | IF ( iom_use("hbli") ) CALL iom_put( "hbli", tmask(:,:,1)*hbli ) ! Initial boundary-layer depth |
|---|
| 1273 | IF ( iom_use("dstokes") ) CALL iom_put( "dstokes", tmask(:,:,1)*dstokes ) ! Stokes drift penetration depth |
|---|
| 1274 | IF ( iom_use("zustke") ) CALL iom_put( "zustke", tmask(:,:,1)*zustke ) ! Stokes drift magnitude at T-points |
|---|
| 1275 | IF ( iom_use("zwstrc") ) CALL iom_put( "zwstrc", tmask(:,:,1)*zwstrc ) ! convective velocity scale |
|---|
| 1276 | IF ( iom_use("zwstrl") ) CALL iom_put( "zwstrl", tmask(:,:,1)*zwstrl ) ! Langmuir velocity scale |
|---|
| 1277 | IF ( iom_use("zustar") ) CALL iom_put( "zustar", tmask(:,:,1)*zustar ) ! friction velocity scale |
|---|
| 1278 | IF ( iom_use("wind_power") ) CALL iom_put( "wind_power", 1000.*rho0*tmask(:,:,1)*zustar**3 ) ! BL depth internal to zdf_osm routine |
|---|
| 1279 | IF ( iom_use("wind_wave_power") ) CALL iom_put( "wind_wave_power", 1000.*rho0*tmask(:,:,1)*zustar**2*zustke ) |
|---|
| 1280 | IF ( iom_use("zhbl") ) CALL iom_put( "zhbl", tmask(:,:,1)*zhbl ) ! BL depth internal to zdf_osm routine |
|---|
| 1281 | IF ( iom_use("zhml") ) CALL iom_put( "zhml", tmask(:,:,1)*zhml ) ! ML depth internal to zdf_osm routine |
|---|
| 1282 | IF ( iom_use("zdh") ) CALL iom_put( "zdh", tmask(:,:,1)*zdh ) ! ML depth internal to zdf_osm routine |
|---|
| 1283 | IF ( iom_use("zhol") ) CALL iom_put( "zhol", tmask(:,:,1)*zhol ) ! ML depth internal to zdf_osm routine |
|---|
| 1284 | IF ( iom_use("zwthav") ) CALL iom_put( "zwthav", tmask(:,:,1)*zwthav ) ! ML depth internal to zdf_osm routine |
|---|
| 1285 | IF ( iom_use("zwth_ent") ) CALL iom_put( "zwth_ent", tmask(:,:,1)*zwth_ent ) ! ML depth internal to zdf_osm routine |
|---|
| 1286 | IF ( iom_use("zt_ml") ) CALL iom_put( "zt_ml", tmask(:,:,1)*zt_ml ) ! average T in ML |
|---|
| 1287 | END IF |
|---|
| 1288 | ! Lateral boundary conditions on p_avt (sign unchanged) |
|---|
| 1289 | CALL lbc_lnk( 'zdfosm', p_avt(:,:,:), 'W', 1.0_wp ) |
|---|
| 1290 | ! |
|---|
| 1291 | END SUBROUTINE zdf_osm |
|---|
| 1292 | |
|---|
| 1293 | |
|---|
| 1294 | SUBROUTINE zdf_osm_init( Kmm ) |
|---|
| 1295 | !!---------------------------------------------------------------------- |
|---|
| 1296 | !! *** ROUTINE zdf_osm_init *** |
|---|
| 1297 | !! |
|---|
| 1298 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
|---|
| 1299 | !! viscosity when using a osm turbulent closure scheme |
|---|
| 1300 | !! |
|---|
| 1301 | !! ** Method : Read the namosm namelist and check the parameters |
|---|
| 1302 | !! called at the first timestep (nit000) |
|---|
| 1303 | !! |
|---|
| 1304 | !! ** input : Namlist namosm |
|---|
| 1305 | !!---------------------------------------------------------------------- |
|---|
| 1306 | INTEGER, INTENT(in) :: Kmm ! time level index (middle) |
|---|
| 1307 | ! |
|---|
| 1308 | INTEGER :: ios ! local integer |
|---|
| 1309 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 1310 | !! |
|---|
| 1311 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave & |
|---|
| 1312 | & ,nn_osm_wave, ln_dia_osm, rn_osm_hbl0 & |
|---|
| 1313 | & ,ln_kpprimix, rn_riinfty, rn_difri, ln_convmix, rn_difconv |
|---|
| 1314 | !!---------------------------------------------------------------------- |
|---|
| 1315 | ! |
|---|
| 1316 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
|---|
| 1317 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
|---|
| 1318 | |
|---|
| 1319 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
|---|
| 1320 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
|---|
| 1321 | IF(lwm) WRITE ( numond, namzdf_osm ) |
|---|
| 1322 | |
|---|
| 1323 | IF(lwp) THEN ! Control print |
|---|
| 1324 | WRITE(numout,*) |
|---|
| 1325 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
|---|
| 1326 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 1327 | WRITE(numout,*) ' Namelist namzdf_osm : set tke mixing parameters' |
|---|
| 1328 | WRITE(numout,*) ' Use namelist rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
|---|
| 1329 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
|---|
| 1330 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
|---|
| 1331 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
|---|
| 1332 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
|---|
| 1333 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
|---|
| 1334 | SELECT CASE (nn_osm_wave) |
|---|
| 1335 | CASE(0) |
|---|
| 1336 | WRITE(numout,*) ' calculated assuming constant La#=0.3' |
|---|
| 1337 | CASE(1) |
|---|
| 1338 | WRITE(numout,*) ' calculated from Pierson Moskowitz wind-waves' |
|---|
| 1339 | CASE(2) |
|---|
| 1340 | WRITE(numout,*) ' calculated from ECMWF wave fields' |
|---|
| 1341 | END SELECT |
|---|
| 1342 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
|---|
| 1343 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
|---|
| 1344 | WRITE(numout,*) ' local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
|---|
| 1345 | WRITE(numout,*) ' maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
|---|
| 1346 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
|---|
| 1347 | WRITE(numout,*) ' diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
|---|
| 1348 | ENDIF |
|---|
| 1349 | |
|---|
| 1350 | ! ! allocate zdfosm arrays |
|---|
| 1351 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
|---|
| 1352 | |
|---|
| 1353 | call osm_rst( nit000, Kmm, 'READ' ) !* read or initialize hbl |
|---|
| 1354 | |
|---|
| 1355 | IF( ln_zdfddm) THEN |
|---|
| 1356 | IF(lwp) THEN |
|---|
| 1357 | WRITE(numout,*) |
|---|
| 1358 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
|---|
| 1359 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
|---|
| 1360 | ENDIF |
|---|
| 1361 | ENDIF |
|---|
| 1362 | |
|---|
| 1363 | |
|---|
| 1364 | !set constants not in namelist |
|---|
| 1365 | !----------------------------- |
|---|
| 1366 | |
|---|
| 1367 | IF(lwp) THEN |
|---|
| 1368 | WRITE(numout,*) |
|---|
| 1369 | ENDIF |
|---|
| 1370 | |
|---|
| 1371 | IF (nn_osm_wave == 0) THEN |
|---|
| 1372 | dstokes(:,:) = rn_osm_dstokes |
|---|
| 1373 | END IF |
|---|
| 1374 | |
|---|
| 1375 | ! Horizontal average : initialization of weighting arrays |
|---|
| 1376 | ! ------------------- |
|---|
| 1377 | |
|---|
| 1378 | SELECT CASE ( nn_ave ) |
|---|
| 1379 | |
|---|
| 1380 | CASE ( 0 ) ! no horizontal average |
|---|
| 1381 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
|---|
| 1382 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
|---|
| 1383 | ! weighting mean arrays etmean |
|---|
| 1384 | ! ( 1 1 ) |
|---|
| 1385 | ! avt = 1/4 ( 1 1 ) |
|---|
| 1386 | ! |
|---|
| 1387 | etmean(:,:,:) = 0.e0 |
|---|
| 1388 | |
|---|
| 1389 | DO_3D_00_00( 1, jpkm1 ) |
|---|
| 1390 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
|---|
| 1391 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
|---|
| 1392 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
|---|
| 1393 | END_3D |
|---|
| 1394 | |
|---|
| 1395 | CASE ( 1 ) ! horizontal average |
|---|
| 1396 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
|---|
| 1397 | ! weighting mean arrays etmean |
|---|
| 1398 | ! ( 1/2 1 1/2 ) |
|---|
| 1399 | ! avt = 1/8 ( 1 2 1 ) |
|---|
| 1400 | ! ( 1/2 1 1/2 ) |
|---|
| 1401 | etmean(:,:,:) = 0.e0 |
|---|
| 1402 | |
|---|
| 1403 | DO_3D_00_00( 1, jpkm1 ) |
|---|
| 1404 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
|---|
| 1405 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
|---|
| 1406 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
|---|
| 1407 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
|---|
| 1408 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
|---|
| 1409 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
|---|
| 1410 | END_3D |
|---|
| 1411 | |
|---|
| 1412 | CASE DEFAULT |
|---|
| 1413 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
|---|
| 1414 | CALL ctl_stop( ctmp1 ) |
|---|
| 1415 | |
|---|
| 1416 | END SELECT |
|---|
| 1417 | |
|---|
| 1418 | ! Initialization of vertical eddy coef. to the background value |
|---|
| 1419 | ! ------------------------------------------------------------- |
|---|
| 1420 | DO jk = 1, jpk |
|---|
| 1421 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
|---|
| 1422 | END DO |
|---|
| 1423 | |
|---|
| 1424 | ! zero the surface flux for non local term and osm mixed layer depth |
|---|
| 1425 | ! ------------------------------------------------------------------ |
|---|
| 1426 | ghamt(:,:,:) = 0. |
|---|
| 1427 | ghams(:,:,:) = 0. |
|---|
| 1428 | ghamu(:,:,:) = 0. |
|---|
| 1429 | ghamv(:,:,:) = 0. |
|---|
| 1430 | ! |
|---|
| 1431 | IF( lwxios ) THEN |
|---|
| 1432 | CALL iom_set_rstw_var_active('wn') |
|---|
| 1433 | CALL iom_set_rstw_var_active('hbl') |
|---|
| 1434 | CALL iom_set_rstw_var_active('hbli') |
|---|
| 1435 | ENDIF |
|---|
| 1436 | END SUBROUTINE zdf_osm_init |
|---|
| 1437 | |
|---|
| 1438 | |
|---|
| 1439 | SUBROUTINE osm_rst( kt, Kmm, cdrw ) |
|---|
| 1440 | !!--------------------------------------------------------------------- |
|---|
| 1441 | !! *** ROUTINE osm_rst *** |
|---|
| 1442 | !! |
|---|
| 1443 | !! ** Purpose : Read or write BL fields in restart file |
|---|
| 1444 | !! |
|---|
| 1445 | !! ** Method : use of IOM library. If the restart does not contain |
|---|
| 1446 | !! required fields, they are recomputed from stratification |
|---|
| 1447 | !!---------------------------------------------------------------------- |
|---|
| 1448 | |
|---|
| 1449 | INTEGER , INTENT(in) :: kt ! ocean time step index |
|---|
| 1450 | INTEGER , INTENT(in) :: Kmm ! ocean time level index (middle) |
|---|
| 1451 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 1452 | |
|---|
| 1453 | INTEGER :: id1, id2 ! iom enquiry index |
|---|
| 1454 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 1455 | INTEGER :: iiki, ikt ! local integer |
|---|
| 1456 | REAL(wp) :: zhbf ! tempory scalars |
|---|
| 1457 | REAL(wp) :: zN2_c ! local scalar |
|---|
| 1458 | REAL(wp) :: rho_c = 0.01_wp !: density criterion for mixed layer depth |
|---|
| 1459 | INTEGER, DIMENSION(:,:), ALLOCATABLE :: imld_rst ! level of mixed-layer depth (pycnocline top) |
|---|
| 1460 | !!---------------------------------------------------------------------- |
|---|
| 1461 | ! |
|---|
| 1462 | !!----------------------------------------------------------------------------- |
|---|
| 1463 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
|---|
| 1464 | !!----------------------------------------------------------------------------- |
|---|
| 1465 | IF( TRIM(cdrw) == 'READ'.AND. ln_rstart) THEN |
|---|
| 1466 | id1 = iom_varid( numror, 'wn' , ldstop = .FALSE. ) |
|---|
| 1467 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
|---|
| 1468 | CALL iom_get( numror, jpdom_autoglo, 'wn', ww, ldxios = lrxios ) |
|---|
| 1469 | WRITE(numout,*) ' ===>>>> : ww read from restart file' |
|---|
| 1470 | ELSE |
|---|
| 1471 | ww(:,:,:) = 0._wp |
|---|
| 1472 | WRITE(numout,*) ' ===>>>> : ww not in restart file, set to zero initially' |
|---|
| 1473 | END IF |
|---|
| 1474 | id1 = iom_varid( numror, 'hbl' , ldstop = .FALSE. ) |
|---|
| 1475 | id2 = iom_varid( numror, 'hbli' , ldstop = .FALSE. ) |
|---|
| 1476 | IF( id1 > 0 .AND. id2 > 0) THEN ! 'hbl' exists; read and return |
|---|
| 1477 | CALL iom_get( numror, jpdom_autoglo, 'hbl' , hbl , ldxios = lrxios ) |
|---|
| 1478 | CALL iom_get( numror, jpdom_autoglo, 'hbli', hbli, ldxios = lrxios ) |
|---|
| 1479 | WRITE(numout,*) ' ===>>>> : hbl & hbli read from restart file' |
|---|
| 1480 | RETURN |
|---|
| 1481 | ELSE ! 'hbl' & 'hbli' not in restart file, recalculate |
|---|
| 1482 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
|---|
| 1483 | END IF |
|---|
| 1484 | END IF |
|---|
| 1485 | |
|---|
| 1486 | !!----------------------------------------------------------------------------- |
|---|
| 1487 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
|---|
| 1488 | !!----------------------------------------------------------------------------- |
|---|
| 1489 | IF( TRIM(cdrw) == 'WRITE') THEN !* Write hbli into the restart file, then return |
|---|
| 1490 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
|---|
| 1491 | CALL iom_rstput( kt, nitrst, numrow, 'wn' , ww , ldxios = lwxios ) |
|---|
| 1492 | CALL iom_rstput( kt, nitrst, numrow, 'hbl' , hbl , ldxios = lwxios ) |
|---|
| 1493 | CALL iom_rstput( kt, nitrst, numrow, 'hbli' , hbli, ldxios = lwxios ) |
|---|
| 1494 | RETURN |
|---|
| 1495 | END IF |
|---|
| 1496 | |
|---|
| 1497 | !!----------------------------------------------------------------------------- |
|---|
| 1498 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
|---|
| 1499 | !!----------------------------------------------------------------------------- |
|---|
| 1500 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
|---|
| 1501 | ALLOCATE( imld_rst(jpi,jpj) ) |
|---|
| 1502 | ! w-level of the mixing and mixed layers |
|---|
| 1503 | CALL eos_rab( ts(:,:,:,:,Kmm), rab_n, Kmm ) |
|---|
| 1504 | CALL bn2(ts(:,:,:,:,Kmm), rab_n, rn2, Kmm) |
|---|
| 1505 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
|---|
| 1506 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
|---|
| 1507 | zN2_c = grav * rho_c * r1_rho0 ! convert density criteria into N^2 criteria |
|---|
| 1508 | ! |
|---|
| 1509 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
|---|
| 1510 | DO_3D_11_11( 1, jpkm1 ) |
|---|
| 1511 | ikt = mbkt(ji,jj) |
|---|
| 1512 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0._wp ) * e3w(ji,jj,jk,Kmm) |
|---|
| 1513 | IF( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
|---|
| 1514 | END_3D |
|---|
| 1515 | ! |
|---|
| 1516 | DO_2D_11_11 |
|---|
| 1517 | iiki = imld_rst(ji,jj) |
|---|
| 1518 | hbl (ji,jj) = gdepw(ji,jj,iiki ,Kmm) * ssmask(ji,jj) ! Turbocline depth |
|---|
| 1519 | END_2D |
|---|
| 1520 | hbl = MAX(hbl,epsln) |
|---|
| 1521 | hbli(:,:) = hbl(:,:) |
|---|
| 1522 | DEALLOCATE( imld_rst ) |
|---|
| 1523 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
|---|
| 1524 | END SUBROUTINE osm_rst |
|---|
| 1525 | |
|---|
| 1526 | |
|---|
| 1527 | SUBROUTINE tra_osm( kt, Kmm, pts, Krhs ) |
|---|
| 1528 | !!---------------------------------------------------------------------- |
|---|
| 1529 | !! *** ROUTINE tra_osm *** |
|---|
| 1530 | !! |
|---|
| 1531 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
|---|
| 1532 | !! |
|---|
| 1533 | !! ** Method : ??? |
|---|
| 1534 | !!---------------------------------------------------------------------- |
|---|
| 1535 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
|---|
| 1536 | !!---------------------------------------------------------------------- |
|---|
| 1537 | INTEGER , INTENT(in) :: kt ! time step index |
|---|
| 1538 | INTEGER , INTENT(in) :: Kmm, Krhs ! time level indices |
|---|
| 1539 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts,jpt), INTENT(inout) :: pts ! active tracers and RHS of tracer equation |
|---|
| 1540 | ! |
|---|
| 1541 | INTEGER :: ji, jj, jk |
|---|
| 1542 | ! |
|---|
| 1543 | IF( kt == nit000 ) THEN |
|---|
| 1544 | IF(lwp) WRITE(numout,*) |
|---|
| 1545 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
|---|
| 1546 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 1547 | ENDIF |
|---|
| 1548 | |
|---|
| 1549 | IF( l_trdtra ) THEN !* Save ta and sa trends |
|---|
| 1550 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) |
|---|
| 1551 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) |
|---|
| 1552 | ENDIF |
|---|
| 1553 | |
|---|
| 1554 | ! add non-local temperature and salinity flux |
|---|
| 1555 | DO_3D_00_00( 1, jpkm1 ) |
|---|
| 1556 | pts(ji,jj,jk,jp_tem,Krhs) = pts(ji,jj,jk,jp_tem,Krhs) & |
|---|
| 1557 | & - ( ghamt(ji,jj,jk ) & |
|---|
| 1558 | & - ghamt(ji,jj,jk+1) ) /e3t(ji,jj,jk,Kmm) |
|---|
| 1559 | pts(ji,jj,jk,jp_sal,Krhs) = pts(ji,jj,jk,jp_sal,Krhs) & |
|---|
| 1560 | & - ( ghams(ji,jj,jk ) & |
|---|
| 1561 | & - ghams(ji,jj,jk+1) ) / e3t(ji,jj,jk,Kmm) |
|---|
| 1562 | END_3D |
|---|
| 1563 | |
|---|
| 1564 | |
|---|
| 1565 | ! save the non-local tracer flux trends for diagnostic |
|---|
| 1566 | IF( l_trdtra ) THEN |
|---|
| 1567 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) - ztrdt(:,:,:) |
|---|
| 1568 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) - ztrds(:,:,:) |
|---|
| 1569 | !!bug gm jpttdzdf ==> jpttosm |
|---|
| 1570 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_tem, jptra_zdf, ztrdt ) |
|---|
| 1571 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_sal, jptra_zdf, ztrds ) |
|---|
| 1572 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
|---|
| 1573 | ENDIF |
|---|
| 1574 | |
|---|
| 1575 | IF(sn_cfctl%l_prtctl) THEN |
|---|
| 1576 | CALL prt_ctl( tab3d_1=pts(:,:,:,jp_tem,Krhs), clinfo1=' osm - Ta: ', mask1=tmask, & |
|---|
| 1577 | & tab3d_2=pts(:,:,:,jp_sal,Krhs), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
|---|
| 1578 | ENDIF |
|---|
| 1579 | ! |
|---|
| 1580 | END SUBROUTINE tra_osm |
|---|
| 1581 | |
|---|
| 1582 | |
|---|
| 1583 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
|---|
| 1584 | !!---------------------------------------------------------------------- |
|---|
| 1585 | !! *** ROUTINE trc_osm *** |
|---|
| 1586 | !! |
|---|
| 1587 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
|---|
| 1588 | !! passive tracer flux |
|---|
| 1589 | !! |
|---|
| 1590 | !! |
|---|
| 1591 | !! ** Method : ??? |
|---|
| 1592 | !!---------------------------------------------------------------------- |
|---|
| 1593 | ! |
|---|
| 1594 | !!---------------------------------------------------------------------- |
|---|
| 1595 | INTEGER, INTENT(in) :: kt |
|---|
| 1596 | WRITE(*,*) 'trc_osm: Not written yet', kt |
|---|
| 1597 | END SUBROUTINE trc_osm |
|---|
| 1598 | |
|---|
| 1599 | |
|---|
| 1600 | SUBROUTINE dyn_osm( kt, Kmm, puu, pvv, Krhs ) |
|---|
| 1601 | !!---------------------------------------------------------------------- |
|---|
| 1602 | !! *** ROUTINE dyn_osm *** |
|---|
| 1603 | !! |
|---|
| 1604 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
|---|
| 1605 | !! copied/modified from tra_osm |
|---|
| 1606 | !! |
|---|
| 1607 | !! ** Method : ??? |
|---|
| 1608 | !!---------------------------------------------------------------------- |
|---|
| 1609 | INTEGER , INTENT( in ) :: kt ! ocean time step index |
|---|
| 1610 | INTEGER , INTENT( in ) :: Kmm, Krhs ! ocean time level indices |
|---|
| 1611 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! ocean velocities and RHS of momentum equation |
|---|
| 1612 | ! |
|---|
| 1613 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 1614 | !!---------------------------------------------------------------------- |
|---|
| 1615 | ! |
|---|
| 1616 | IF( kt == nit000 ) THEN |
|---|
| 1617 | IF(lwp) WRITE(numout,*) |
|---|
| 1618 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
|---|
| 1619 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 1620 | ENDIF |
|---|
| 1621 | !code saving tracer trends removed, replace with trdmxl_oce |
|---|
| 1622 | |
|---|
| 1623 | DO_3D_00_00( 1, jpkm1 ) |
|---|
| 1624 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) & |
|---|
| 1625 | & - ( ghamu(ji,jj,jk ) & |
|---|
| 1626 | & - ghamu(ji,jj,jk+1) ) / e3u(ji,jj,jk,Kmm) |
|---|
| 1627 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) & |
|---|
| 1628 | & - ( ghamv(ji,jj,jk ) & |
|---|
| 1629 | & - ghamv(ji,jj,jk+1) ) / e3v(ji,jj,jk,Kmm) |
|---|
| 1630 | END_3D |
|---|
| 1631 | ! |
|---|
| 1632 | ! code for saving tracer trends removed |
|---|
| 1633 | ! |
|---|
| 1634 | END SUBROUTINE dyn_osm |
|---|
| 1635 | |
|---|
| 1636 | !!====================================================================== |
|---|
| 1637 | END MODULE zdfosm |
|---|
