| 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) Buoyancy flux due to entrainment changed to include contribution from shear turbulence. |
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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 | !! ??/??/2018 (18) Revision to code structure, selected using key_osmldpth1. Inline code moved into subroutines. Changes to physics made, |
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| 32 | !! (a) Pycnocline temperature and salinity profies changed for unstable layers |
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| 33 | !! (b) The stable OSBL depth parametrization changed. |
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| 34 | !! 16/05/2019 (19) Fox-Kemper parametrization of restratification through mixed layer eddies added to revised code. |
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| 35 | !! 23/05/19 (20) Old code where key_osmldpth1` is *not* set removed, together with the key key_osmldpth1 |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | |
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| 38 | !!---------------------------------------------------------------------- |
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| 39 | !! 'ln_zdfosm' OSMOSIS scheme |
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| 40 | !!---------------------------------------------------------------------- |
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| 41 | !! zdf_osm : update momentum and tracer Kz from osm scheme |
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| 42 | !! zdf_osm_init : initialization, namelist read, and parameters control |
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| 43 | !! osm_rst : read (or initialize) and write osmosis restart fields |
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| 44 | !! tra_osm : compute and add to the T & S trend the non-local flux |
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| 45 | !! trc_osm : compute and add to the passive tracer trend the non-local flux (TBD) |
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| 46 | !! dyn_osm : compute and add to u & v trensd the non-local flux |
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| 47 | !! |
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| 48 | !! Subroutines in revised code. |
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| 49 | !!---------------------------------------------------------------------- |
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| 50 | USE oce ! ocean dynamics and active tracers |
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| 51 | ! uses wn from previous time step (which is now wb) to calculate hbl |
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| 52 | USE dom_oce ! ocean space and time domain |
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| 53 | USE zdf_oce ! ocean vertical physics |
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| 54 | USE sbc_oce ! surface boundary condition: ocean |
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| 55 | USE sbcwave ! surface wave parameters |
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| 56 | USE phycst ! physical constants |
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| 57 | USE eosbn2 ! equation of state |
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| 58 | USE traqsr ! details of solar radiation absorption |
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| 59 | USE zdfddm ! double diffusion mixing (avs array) |
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| 60 | USE iom ! I/O library |
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| 61 | USE lib_mpp ! MPP library |
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| 62 | USE trd_oce ! ocean trends definition |
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| 63 | USE trdtra ! tracers trends |
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| 64 | ! |
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| 65 | USE in_out_manager ! I/O manager |
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| 66 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 67 | USE prtctl ! Print control |
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| 68 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| 69 | |
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| 70 | IMPLICIT NONE |
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| 71 | PRIVATE |
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| 72 | |
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| 73 | PUBLIC zdf_osm ! routine called by step.F90 |
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| 74 | PUBLIC zdf_osm_init ! routine called by nemogcm.F90 |
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| 75 | PUBLIC osm_rst ! routine called by step.F90 |
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| 76 | PUBLIC tra_osm ! routine called by step.F90 |
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| 77 | PUBLIC trc_osm ! routine called by trcstp.F90 |
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| 78 | PUBLIC dyn_osm ! routine called by step.F90 |
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| 79 | |
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| 80 | PUBLIC ln_osm_mle ! logical needed by tra_mle_init in tramle.F90 |
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| 81 | |
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| 82 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: non-local u-momentum flux |
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| 83 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: non-local v-momentum flux |
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| 84 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: non-local temperature flux (gamma/<ws>o) |
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| 85 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: non-local salinity flux (gamma/<ws>o) |
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| 86 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean !: averaging operator for avt |
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| 87 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: boundary layer depth |
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| 88 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dh ! depth of pycnocline |
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| 89 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hml ! ML depth |
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| 90 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes !: penetration depth of the Stokes drift. |
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| 91 | |
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| 92 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_ft ! inverse of the modified Coriolis parameter at t-pts |
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| 93 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmle ! Depth of layer affexted by mixed layer eddies in Fox-Kemper parametrization |
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| 94 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdx_mle ! zonal buoyancy gradient in ML |
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| 95 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdy_mle ! meridional buoyancy gradient in ML |
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| 96 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: mld_prof ! level of base of MLE layer. |
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| 97 | |
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| 98 | ! !!** Namelist namzdf_osm ** |
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| 99 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
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| 100 | |
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| 101 | LOGICAL :: ln_osm_mle !: flag to activate the Mixed Layer Eddy (MLE) parameterisation |
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| 102 | |
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| 103 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
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| 104 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
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| 105 | REAL(wp) :: rn_osm_hbl0 = 10._wp ! Initial value of hbl for 1D runs |
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| 106 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
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| 107 | 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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| 108 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
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| 109 | |
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| 110 | |
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| 111 | LOGICAL :: ln_kpprimix = .true. ! Shear instability mixing |
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| 112 | REAL(wp) :: rn_riinfty = 0.7 ! local Richardson Number limit for shear instability |
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| 113 | REAL(wp) :: rn_difri = 0.005 ! maximum shear mixing at Rig = 0 (m2/s) |
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| 114 | LOGICAL :: ln_convmix = .true. ! Convective instability mixing |
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| 115 | REAL(wp) :: rn_difconv = 1._wp ! diffusivity when unstable below BL (m2/s) |
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| 116 | |
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| 117 | ! OSMOSIS mixed layer eddy parametrization constants |
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| 118 | INTEGER :: nn_osm_mle ! = 0/1 flag for horizontal average on avt |
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| 119 | REAL(wp) :: rn_osm_mle_ce ! MLE coefficient |
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| 120 | ! ! parameters used in nn_osm_mle = 0 case |
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| 121 | REAL(wp) :: rn_osm_mle_lf ! typical scale of mixed layer front |
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| 122 | REAL(wp) :: rn_osm_mle_time ! time scale for mixing momentum across the mixed layer |
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| 123 | ! ! parameters used in nn_osm_mle = 1 case |
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| 124 | REAL(wp) :: rn_osm_mle_lat ! reference latitude for a 5 km scale of ML front |
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| 125 | LOGICAL :: ln_osm_hmle_limit ! If true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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| 126 | REAL(wp) :: rn_osm_hmle_limit ! If ln_osm_hmle_limit true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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| 127 | REAL(wp) :: rn_osm_mle_rho_c ! Density criterion for definition of MLD used by FK |
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| 128 | REAL(wp) :: r5_21 = 5.e0 / 21.e0 ! factor used in mle streamfunction computation |
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| 129 | REAL(wp) :: rb_c ! ML buoyancy criteria = g rho_c /rau0 where rho_c is defined in zdfmld |
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| 130 | REAL(wp) :: rc_f ! MLE coefficient (= rn_ce / (5 km * fo) ) in nn_osm_mle=1 case |
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| 131 | REAL(wp) :: rn_osm_mle_thresh ! Threshold buoyancy for deepening of MLE layer below OSBL base. |
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| 132 | REAL(wp) :: rn_osm_mle_tau ! Adjustment timescale for MLE. |
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| 133 | |
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| 134 | |
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| 135 | ! !!! ** General constants ** |
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| 136 | REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number to ensure no div by zero |
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| 137 | REAL(wp) :: depth_tol = 1.0e-6_wp ! a small-ish positive number to give a hbl slightly shallower than gdepw |
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| 138 | REAL(wp) :: pthird = 1._wp/3._wp ! 1/3 |
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| 139 | REAL(wp) :: p2third = 2._wp/3._wp ! 2/3 |
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| 140 | |
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| 141 | INTEGER :: idebug = 236 |
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| 142 | INTEGER :: jdebug = 228 |
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| 143 | !!---------------------------------------------------------------------- |
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| 144 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 145 | !! $Id: zdfosm.F90 12317 2020-01-14 12:40:47Z agn $ |
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| 146 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 147 | !!---------------------------------------------------------------------- |
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| 148 | CONTAINS |
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| 149 | |
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| 150 | INTEGER FUNCTION zdf_osm_alloc() |
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| 151 | !!---------------------------------------------------------------------- |
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| 152 | !! *** FUNCTION zdf_osm_alloc *** |
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| 153 | !!---------------------------------------------------------------------- |
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| 154 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & |
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| 155 | & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
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| 156 | & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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| 157 | |
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| 158 | ALLOCATE( hmle(jpi,jpj), r1_ft(jpi,jpj), dbdx_mle(jpi,jpj), dbdy_mle(jpi,jpj), & |
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| 159 | & mld_prof(jpi,jpj), STAT= zdf_osm_alloc ) |
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| 160 | |
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| 161 | ! ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & ! would ths be better ? |
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| 162 | ! & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
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| 163 | ! & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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| 164 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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| 165 | ! IF ( ln_osm_mle ) THEN |
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| 166 | ! Allocate( hmle(jpi,jpj), r1_ft(jpi,jpj), STAT= zdf_osm_alloc ) |
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| 167 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm mle arrays') |
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| 168 | ! ENDIF |
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| 169 | |
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| 170 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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| 171 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
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| 172 | END FUNCTION zdf_osm_alloc |
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| 173 | |
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| 174 | |
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| 175 | SUBROUTINE zdf_osm( kt, p_avm, p_avt ) |
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| 176 | !!---------------------------------------------------------------------- |
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| 177 | !! *** ROUTINE zdf_osm *** |
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| 178 | !! |
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| 179 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 180 | !! coefficients and non local mixing using the OSMOSIS scheme |
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| 181 | !! |
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| 182 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
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| 183 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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| 184 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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| 185 | !! |
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| 186 | !! Kx = hosm Wx(sigma) G(sigma) |
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| 187 | !! |
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| 188 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
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| 189 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
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| 190 | !! shear instability and double diffusion. |
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| 191 | !! |
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| 192 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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| 193 | !! -2- Diagnose the boundary layer depth. |
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| 194 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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| 195 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
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| 196 | !! -5- Smoothing |
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| 197 | !! |
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| 198 | !! N.B. The computation is done from jk=2 to jpkm1 |
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| 199 | !! Surface value of avt are set once a time to zero |
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| 200 | !! in routine zdf_osm_init. |
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| 201 | !! |
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| 202 | !! ** Action : update the non-local terms ghamts |
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| 203 | !! update avt (before vertical eddy coef.) |
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| 204 | !! |
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| 205 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
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| 206 | !! Reviews of Geophysics, 32, 4, November 1994 |
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| 207 | !! Comments in the code refer to this paper, particularly |
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| 208 | !! the equation number. (LMD94, here after) |
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| 209 | !!---------------------------------------------------------------------- |
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| 210 | INTEGER , INTENT(in ) :: kt ! ocean time step |
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| 211 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
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| 212 | !! |
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| 213 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 214 | |
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| 215 | INTEGER :: jl ! dummy loop indices |
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| 216 | |
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| 217 | INTEGER :: ikbot, jkmax, jkm1, jkp2 ! |
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| 218 | |
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| 219 | REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube ! |
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| 220 | REAL(wp) :: zbeta, zthermal ! |
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| 221 | REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales |
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| 222 | REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm ! |
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| 223 | |
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| 224 | 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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| 225 | INTEGER :: jm ! dummy loop indices |
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| 226 | REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms |
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| 227 | REAL(wp) :: zflag, zrn2, zdep21, zdep32, zdep43 |
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| 228 | REAL(wp) :: zesh2, zri, zfri ! Interior richardson mixing |
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| 229 | REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t |
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| 230 | REAL(wp) :: zt,zs,zu,zv,zrh ! variables used in constructing averages |
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| 231 | ! Scales |
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| 232 | REAL(wp), DIMENSION(jpi,jpj) :: zrad0 ! Surface solar temperature flux (deg m/s) |
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| 233 | REAL(wp), DIMENSION(jpi,jpj) :: zradh ! Radiative flux at bl base (Buoyancy units) |
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| 234 | REAL(wp), DIMENSION(jpi,jpj) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
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| 235 | REAL(wp), DIMENSION(jpi,jpj) :: zustar ! friction velocity |
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| 236 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrl ! Langmuir velocity scale |
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| 237 | REAL(wp), DIMENSION(jpi,jpj) :: zvstr ! Velocity scale that ends to zustar for large Langmuir number. |
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| 238 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrc ! Convective velocity scale |
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| 239 | REAL(wp), DIMENSION(jpi,jpj) :: zuw0 ! Surface u-momentum flux |
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| 240 | REAL(wp), DIMENSION(jpi,jpj) :: zvw0 ! Surface v-momentum flux |
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| 241 | REAL(wp), DIMENSION(jpi,jpj) :: zwth0 ! Surface heat flux (Kinematic) |
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| 242 | REAL(wp), DIMENSION(jpi,jpj) :: zws0 ! Surface freshwater flux |
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| 243 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0 ! Surface buoyancy flux |
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| 244 | REAL(wp), DIMENSION(jpi,jpj) :: zwthav ! Heat flux - bl average |
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| 245 | REAL(wp), DIMENSION(jpi,jpj) :: zwsav ! freshwater flux - bl average |
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| 246 | REAL(wp), DIMENSION(jpi,jpj) :: zwbav ! Buoyancy flux - bl average |
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| 247 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent ! Buoyancy entrainment flux |
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| 248 | |
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| 249 | |
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| 250 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk_b ! MLE buoyancy flux averaged over OSBL |
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| 251 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk ! max MLE buoyancy flux |
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| 252 | REAL(wp), DIMENSION(jpi,jpj) :: zdiff_mle ! extra MLE vertical diff |
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| 253 | REAL(wp), DIMENSION(jpi,jpj) :: zvel_mle ! velocity scale for dhdt with stable ML and FK |
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| 254 | |
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| 255 | REAL(wp), DIMENSION(jpi,jpj) :: zustke ! Surface Stokes drift |
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| 256 | REAL(wp), DIMENSION(jpi,jpj) :: zla ! Trubulent Langmuir number |
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| 257 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_wind ! Cos angle of surface stress |
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| 258 | REAL(wp), DIMENSION(jpi,jpj) :: zsin_wind ! Sin angle of surface stress |
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| 259 | REAL(wp), DIMENSION(jpi,jpj) :: zhol ! Stability parameter for boundary layer |
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| 260 | LOGICAL, DIMENSION(jpi,jpj) :: lconv ! unstable/stable bl |
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| 261 | |
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| 262 | ! mixed-layer variables |
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| 263 | |
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| 264 | INTEGER, DIMENSION(jpi,jpj) :: ibld ! level of boundary layer base |
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| 265 | INTEGER, DIMENSION(jpi,jpj) :: imld ! level of mixed-layer depth (pycnocline top) |
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| 266 | |
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| 267 | REAL(wp) :: ztgrad,zsgrad,zbgrad ! Temporary variables used to calculate pycnocline gradients |
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| 268 | REAL(wp) :: zugrad,zvgrad ! temporary variables for calculating pycnocline shear |
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| 269 | |
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| 270 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl ! bl depth - grid |
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| 271 | REAL(wp), DIMENSION(jpi,jpj) :: zhml ! ml depth - grid |
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| 272 | |
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| 273 | REAL(wp), DIMENSION(jpi,jpj) :: zhmle ! MLE depth - grid |
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| 274 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! ML depth on grid |
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| 275 | |
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| 276 | REAL(wp), DIMENSION(jpi,jpj) :: zdh ! pycnocline depth - grid |
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| 277 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! BL depth tendency |
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| 278 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt_2 ! correction to dhdt due to internal structure. |
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| 279 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_ext,zdsdz_ext,zdbdz_ext ! external temperature/salinity and buoyancy gradients |
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| 280 | |
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| 281 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy ! horizontal gradients for Fox-Kemper parametrization. |
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| 282 | |
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| 283 | 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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| 284 | 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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| 285 | 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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| 286 | 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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| 287 | REAL(wp), DIMENSION(jpi,jpj) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
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| 288 | REAL(wp), DIMENSION(jpi,jpj) :: zuw_bse,zvw_bse ! momentum fluxes at the top of the pycnocline |
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| 289 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz_pyc ! parametrized gradient of temperature in pycnocline |
|---|
| 290 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdsdz_pyc ! parametrised gradient of salinity in pycnocline |
|---|
| 291 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdbdz_pyc ! parametrised gradient of buoyancy in the pycnocline |
|---|
| 292 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz_pyc ! u-shear across the pycnocline |
|---|
| 293 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdvdz_pyc ! v-shear across the pycnocline |
|---|
| 294 | |
|---|
| 295 | ! Flux-gradient relationship variables |
|---|
| 296 | |
|---|
| 297 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale. |
|---|
| 298 | |
|---|
| 299 | REAL(wp), DIMENSION(jpi,jpj) :: zdifml_sc,zvisml_sc,zdifpyc_sc,zvispyc_sc,zbeta_d_sc,zbeta_v_sc ! Scales for eddy diffusivity/viscosity |
|---|
| 300 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_1,zsc_ws_1 ! Temporary scales used to calculate scalar non-gradient terms. |
|---|
| 301 | 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. |
|---|
| 302 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl_t ! holds boundary layer depth updated by full timestep |
|---|
| 303 | |
|---|
| 304 | ! For calculating Ri#-dependent mixing |
|---|
| 305 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3du ! u-shear^2 |
|---|
| 306 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3dv ! v-shear^2 |
|---|
| 307 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zrimix ! spatial form of ri#-induced diffusion |
|---|
| 308 | |
|---|
| 309 | ! Temporary variables |
|---|
| 310 | INTEGER :: inhml |
|---|
| 311 | REAL(wp) :: znd,znd_d,zznd_ml,zznd_pyc,zznd_d ! temporary non-dimensional depths used in various routines |
|---|
| 312 | REAL(wp) :: ztemp, zari, zpert, zzdhdt, zdb ! temporary variables |
|---|
| 313 | REAL(wp) :: zthick, zz0, zz1 ! temporary variables |
|---|
| 314 | REAL(wp) :: zvel_max, zhbl_s ! temporary variables |
|---|
| 315 | REAL(wp) :: zfac ! temporary variable |
|---|
| 316 | REAL(wp) :: zus_x, zus_y ! temporary Stokes drift |
|---|
| 317 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zviscos ! viscosity |
|---|
| 318 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdiffut ! t-diffusivity |
|---|
| 319 | |
|---|
| 320 | INTEGER :: ibld_ext=0 ! does not have to be zero for modified scheme |
|---|
| 321 | REAL(wp) :: zwb_min, zgamma_b_nd, zgamma_b, zdhoh, ztau, zddhdt |
|---|
| 322 | REAL(wp) :: zzeta_s = 0._wp |
|---|
| 323 | REAL(wp) :: zzeta_v = 0.46 |
|---|
| 324 | REAL(wp) :: zabsstke |
|---|
| 325 | |
|---|
| 326 | ! For debugging |
|---|
| 327 | INTEGER :: ikt |
|---|
| 328 | !!-------------------------------------------------------------------- |
|---|
| 329 | ! |
|---|
| 330 | ibld(:,:) = 0 ; imld(:,:) = 0 |
|---|
| 331 | zrad0(:,:) = 0._wp ; zradh(:,:) = 0._wp ; zradav(:,:) = 0._wp ; zustar(:,:) = 0._wp |
|---|
| 332 | zwstrl(:,:) = 0._wp ; zvstr(:,:) = 0._wp ; zwstrc(:,:) = 0._wp ; zuw0(:,:) = 0._wp |
|---|
| 333 | zvw0(:,:) = 0._wp ; zwth0(:,:) = 0._wp ; zws0(:,:) = 0._wp ; zwb0(:,:) = 0._wp |
|---|
| 334 | zwthav(:,:) = 0._wp ; zwsav(:,:) = 0._wp ; zwbav(:,:) = 0._wp ; zwb_ent(:,:) = 0._wp |
|---|
| 335 | zustke(:,:) = 0._wp ; zla(:,:) = 0._wp ; zcos_wind(:,:) = 0._wp ; zsin_wind(:,:) = 0._wp |
|---|
| 336 | zhol(:,:) = 0._wp |
|---|
| 337 | lconv(:,:) = .FALSE. |
|---|
| 338 | ! mixed layer |
|---|
| 339 | ! no initialization of zhbl or zhml (or zdh?) |
|---|
| 340 | zhbl(:,:) = 1._wp ; zhml(:,:) = 1._wp ; zdh(:,:) = 1._wp ; zdhdt(:,:) = 0._wp |
|---|
| 341 | zt_bl(:,:) = 0._wp ; zs_bl(:,:) = 0._wp ; zu_bl(:,:) = 0._wp ; zv_bl(:,:) = 0._wp |
|---|
| 342 | zrh_bl(:,:) = 0._wp ; zt_ml(:,:) = 0._wp ; zs_ml(:,:) = 0._wp ; zu_ml(:,:) = 0._wp |
|---|
| 343 | |
|---|
| 344 | zv_ml(:,:) = 0._wp ; zrh_ml(:,:) = 0._wp ; zdt_bl(:,:) = 0._wp ; zds_bl(:,:) = 0._wp |
|---|
| 345 | zdu_bl(:,:) = 0._wp ; zdv_bl(:,:) = 0._wp ; zdrh_bl(:,:) = 0._wp ; zdb_bl(:,:) = 0._wp |
|---|
| 346 | zdt_ml(:,:) = 0._wp ; zds_ml(:,:) = 0._wp ; zdu_ml(:,:) = 0._wp ; zdv_ml(:,:) = 0._wp |
|---|
| 347 | zdrh_ml(:,:) = 0._wp ; zdb_ml(:,:) = 0._wp ; zwth_ent(:,:) = 0._wp ; zws_ent(:,:) = 0._wp |
|---|
| 348 | zuw_bse(:,:) = 0._wp ; zvw_bse(:,:) = 0._wp |
|---|
| 349 | ! |
|---|
| 350 | zdtdz_pyc(:,:,:) = 0._wp ; zdsdz_pyc(:,:,:) = 0._wp ; zdbdz_pyc(:,:,:) = 0._wp |
|---|
| 351 | zdudz_pyc(:,:,:) = 0._wp ; zdvdz_pyc(:,:,:) = 0._wp |
|---|
| 352 | ! |
|---|
| 353 | zdtdz_ext(:,:) = 0._wp ; zdsdz_ext(:,:) = 0._wp ; zdbdz_ext(:,:) = 0._wp |
|---|
| 354 | |
|---|
| 355 | IF ( ln_osm_mle ) THEN ! only initialise arrays if needed |
|---|
| 356 | zdtdx(:,:) = 0._wp ; zdtdy(:,:) = 0._wp ; zdsdx(:,:) = 0._wp |
|---|
| 357 | zdsdy(:,:) = 0._wp ; dbdx_mle(:,:) = 0._wp ; dbdy_mle(:,:) = 0._wp |
|---|
| 358 | zwb_fk(:,:) = 0._wp ; zvel_mle(:,:) = 0._wp; zdiff_mle(:,:) = 0._wp |
|---|
| 359 | zhmle(:,:) = 0._wp ; zmld(:,:) = 0._wp |
|---|
| 360 | ENDIF |
|---|
| 361 | zwb_fk_b(:,:) = 0._wp ! must be initialised even with ln_osm_mle=F as used in zdf_osm_calculate_dhdt |
|---|
| 362 | |
|---|
| 363 | ! Flux-Gradient arrays. |
|---|
| 364 | zdifml_sc(:,:) = 0._wp ; zvisml_sc(:,:) = 0._wp ; zdifpyc_sc(:,:) = 0._wp |
|---|
| 365 | zvispyc_sc(:,:) = 0._wp ; zbeta_d_sc(:,:) = 0._wp ; zbeta_v_sc(:,:) = 0._wp |
|---|
| 366 | zsc_wth_1(:,:) = 0._wp ; zsc_ws_1(:,:) = 0._wp ; zsc_uw_1(:,:) = 0._wp |
|---|
| 367 | zsc_uw_2(:,:) = 0._wp ; zsc_vw_1(:,:) = 0._wp ; zsc_vw_2(:,:) = 0._wp |
|---|
| 368 | zhbl_t(:,:) = 0._wp ; zdhdt(:,:) = 0._wp |
|---|
| 369 | |
|---|
| 370 | zdiffut(:,:,:) = 0._wp ; zviscos(:,:,:) = 0._wp ; ghamt(:,:,:) = 0._wp |
|---|
| 371 | ghams(:,:,:) = 0._wp ; ghamu(:,:,:) = 0._wp ; ghamv(:,:,:) = 0._wp |
|---|
| 372 | |
|---|
| 373 | zdhdt_2(:,:) = 0._wp |
|---|
| 374 | ! hbl = MAX(hbl,epsln) |
|---|
| 375 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 376 | ! Calculate boundary layer scales |
|---|
| 377 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 378 | |
|---|
| 379 | ! Assume two-band radiation model for depth of OSBL |
|---|
| 380 | zz0 = rn_abs ! surface equi-partition in 2-bands |
|---|
| 381 | zz1 = 1. - rn_abs |
|---|
| 382 | DO jj = 2, jpjm1 |
|---|
| 383 | DO ji = 2, jpim1 |
|---|
| 384 | ! Surface downward irradiance (so always +ve) |
|---|
| 385 | zrad0(ji,jj) = qsr(ji,jj) * r1_rau0_rcp |
|---|
| 386 | ! Downwards irradiance at base of boundary layer |
|---|
| 387 | zradh(ji,jj) = zrad0(ji,jj) * ( zz0 * EXP( -hbl(ji,jj)/rn_si0 ) + zz1 * EXP( -hbl(ji,jj)/rn_si1) ) |
|---|
| 388 | ! Downwards irradiance averaged over depth of the OSBL |
|---|
| 389 | zradav(ji,jj) = zrad0(ji,jj) * ( zz0 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si0 ) )*rn_si0 & |
|---|
| 390 | & + zz1 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si1 ) )*rn_si1 ) / hbl(ji,jj) |
|---|
| 391 | END DO |
|---|
| 392 | END DO |
|---|
| 393 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
|---|
| 394 | DO jj = 2, jpjm1 |
|---|
| 395 | DO ji = 2, jpim1 |
|---|
| 396 | zthermal = rab_n(ji,jj,1,jp_tem) |
|---|
| 397 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 398 | ! Upwards surface Temperature flux for non-local term |
|---|
| 399 | zwth0(ji,jj) = - qns(ji,jj) * r1_rau0_rcp * tmask(ji,jj,1) |
|---|
| 400 | ! Upwards surface salinity flux for non-local term |
|---|
| 401 | zws0(ji,jj) = - ( ( emp(ji,jj)-rnf(ji,jj) ) * tsn(ji,jj,1,jp_sal) + sfx(ji,jj) ) * r1_rau0 * tmask(ji,jj,1) |
|---|
| 402 | ! Non radiative upwards surface buoyancy flux |
|---|
| 403 | zwb0(ji,jj) = grav * zthermal * zwth0(ji,jj) - grav * zbeta * zws0(ji,jj) |
|---|
| 404 | ! turbulent heat flux averaged over depth of OSBL |
|---|
| 405 | zwthav(ji,jj) = 0.5 * zwth0(ji,jj) - ( 0.5*( zrad0(ji,jj) + zradh(ji,jj) ) - zradav(ji,jj) ) |
|---|
| 406 | ! turbulent salinity flux averaged over depth of the OBSL |
|---|
| 407 | zwsav(ji,jj) = 0.5 * zws0(ji,jj) |
|---|
| 408 | ! turbulent buoyancy flux averaged over the depth of the OBSBL |
|---|
| 409 | zwbav(ji,jj) = grav * zthermal * zwthav(ji,jj) - grav * zbeta * zwsav(ji,jj) |
|---|
| 410 | ! Surface upward velocity fluxes |
|---|
| 411 | zuw0(ji,jj) = - 0.5 * (utau(ji-1,jj) + utau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
|---|
| 412 | zvw0(ji,jj) = - 0.5 * (vtau(ji,jj-1) + vtau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
|---|
| 413 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
|---|
| 414 | zustar(ji,jj) = MAX( SQRT( SQRT( zuw0(ji,jj) * zuw0(ji,jj) + zvw0(ji,jj) * zvw0(ji,jj) ) ), 1.0e-8 ) |
|---|
| 415 | zcos_wind(ji,jj) = -zuw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
|---|
| 416 | zsin_wind(ji,jj) = -zvw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
|---|
| 417 | END DO |
|---|
| 418 | END DO |
|---|
| 419 | ! Calculate Stokes drift in direction of wind (zustke) and Stokes penetration depth (dstokes) |
|---|
| 420 | SELECT CASE (nn_osm_wave) |
|---|
| 421 | ! Assume constant La#=0.3 |
|---|
| 422 | CASE(0) |
|---|
| 423 | DO jj = 2, jpjm1 |
|---|
| 424 | DO ji = 2, jpim1 |
|---|
| 425 | zus_x = zcos_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
|---|
| 426 | zus_y = zsin_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
|---|
| 427 | zustke(ji,jj) = MAX ( SQRT( zus_x*zus_x + zus_y*zus_y), 1.0e-8 ) |
|---|
| 428 | ! dstokes(ji,jj) set to constant value rn_osm_dstokes from namelist in zdf_osm_init |
|---|
| 429 | END DO |
|---|
| 430 | END DO |
|---|
| 431 | ! Assume Pierson-Moskovitz wind-wave spectrum |
|---|
| 432 | CASE(1) |
|---|
| 433 | DO jj = 2, jpjm1 |
|---|
| 434 | DO ji = 2, jpim1 |
|---|
| 435 | ! Use wind speed wndm included in sbc_oce module |
|---|
| 436 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
|---|
| 437 | dstokes(ji,jj) = MAX( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
|---|
| 438 | END DO |
|---|
| 439 | END DO |
|---|
| 440 | ! Use ECMWF wave fields as output from SBCWAVE |
|---|
| 441 | CASE(2) |
|---|
| 442 | zfac = 2.0_wp * rpi / 16.0_wp |
|---|
| 443 | DO jj = 2, jpjm1 |
|---|
| 444 | DO ji = 2, jpim1 |
|---|
| 445 | ! The Langmur number from the ECMWF model appears to give La<0.3 for wind-driven seas. |
|---|
| 446 | ! The coefficient 0.8 gives La=0.3 in this situation. |
|---|
| 447 | ! It could represent the effects of the spread of wave directions |
|---|
| 448 | ! around the mean wind. The effect of this adjustment needs to be tested. |
|---|
| 449 | zabsstke = SQRT(ut0sd(ji,jj)**2 + vt0sd(ji,jj)**2) |
|---|
| 450 | zustke(ji,jj) = MAX (0.8 * ( zcos_wind(ji,jj) * ut0sd(ji,jj) + zsin_wind(ji,jj) * vt0sd(ji,jj) ), 1.0e-8) |
|---|
| 451 | dstokes(ji,jj) = MAX(zfac * hsw(ji,jj)*hsw(ji,jj) / ( MAX(zabsstke*wmp(ji,jj), 1.0e-7 ) ), 5.0e-1) !rn_osm_dstokes ! |
|---|
| 452 | END DO |
|---|
| 453 | END DO |
|---|
| 454 | END SELECT |
|---|
| 455 | |
|---|
| 456 | ! Langmuir velocity scale (zwstrl), La # (zla) |
|---|
| 457 | ! mixed scale (zvstr), convective velocity scale (zwstrc) |
|---|
| 458 | DO jj = 2, jpjm1 |
|---|
| 459 | DO ji = 2, jpim1 |
|---|
| 460 | ! Langmuir velocity scale (zwstrl), at T-point |
|---|
| 461 | zwstrl(ji,jj) = ( zustar(ji,jj) * zustar(ji,jj) * zustke(ji,jj) )**pthird |
|---|
| 462 | zla(ji,jj) = MAX(MIN(SQRT ( zustar(ji,jj) / ( zwstrl(ji,jj) + epsln ) )**3, 4.0), 0.2) |
|---|
| 463 | IF(zla(ji,jj) > 0.45) dstokes(ji,jj) = MIN(dstokes(ji,jj), 0.5_wp*hbl(ji,jj)) |
|---|
| 464 | ! Velocity scale that tends to zustar for large Langmuir numbers |
|---|
| 465 | zvstr(ji,jj) = ( zwstrl(ji,jj)**3 + & |
|---|
| 466 | & ( 1.0 - EXP( -0.5 * zla(ji,jj)**2 ) ) * zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) )**pthird |
|---|
| 467 | |
|---|
| 468 | ! limit maximum value of Langmuir number as approximate treatment for shear turbulence. |
|---|
| 469 | ! Note zustke and zwstrl are not amended. |
|---|
| 470 | ! |
|---|
| 471 | ! get convective velocity (zwstrc), stabilty scale (zhol) and logical conection flag lconv |
|---|
| 472 | IF ( zwbav(ji,jj) > 0.0) THEN |
|---|
| 473 | zwstrc(ji,jj) = ( 2.0 * zwbav(ji,jj) * 0.9 * hbl(ji,jj) )**pthird |
|---|
| 474 | zhol(ji,jj) = -0.9 * hbl(ji,jj) * 2.0 * zwbav(ji,jj) / (zvstr(ji,jj)**3 + epsln ) |
|---|
| 475 | lconv(ji,jj) = .TRUE. |
|---|
| 476 | ELSE |
|---|
| 477 | zhol(ji,jj) = -hbl(ji,jj) * 2.0 * zwbav(ji,jj)/ (zvstr(ji,jj)**3 + epsln ) |
|---|
| 478 | lconv(ji,jj) = .FALSE. |
|---|
| 479 | ENDIF |
|---|
| 480 | END DO |
|---|
| 481 | END DO |
|---|
| 482 | |
|---|
| 483 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 484 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
|---|
| 485 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 486 | ! BL must be always 4 levels deep. |
|---|
| 487 | ! For calculation of lateral buoyancy gradients for FK in |
|---|
| 488 | ! zdf_osm_zmld_horizontal_gradients need halo values for ibld, so must |
|---|
| 489 | ! previously exist for hbl also. |
|---|
| 490 | hbl(:,:) = MAX(hbl(:,:), gdepw_n(:,:,4) ) |
|---|
| 491 | ibld(:,:) = 4 |
|---|
| 492 | DO jk = 5, jpkm1 |
|---|
| 493 | DO jj = 1, jpj |
|---|
| 494 | DO ji = 1, jpi |
|---|
| 495 | IF ( hbl(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
|---|
| 496 | ibld(ji,jj) = MIN(mbkt(ji,jj), jk) |
|---|
| 497 | ENDIF |
|---|
| 498 | END DO |
|---|
| 499 | END DO |
|---|
| 500 | END DO |
|---|
| 501 | |
|---|
| 502 | DO jj = 2, jpjm1 |
|---|
| 503 | DO ji = 2, jpim1 |
|---|
| 504 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
|---|
| 505 | imld(ji,jj) = MAX(3,ibld(ji,jj) - MAX( INT( dh(ji,jj) / e3t_n(ji, jj, ibld(ji,jj) )) , 1 )) |
|---|
| 506 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
|---|
| 507 | END DO |
|---|
| 508 | END DO |
|---|
| 509 | ! Averages over well-mixed and boundary layer |
|---|
| 510 | ! Alan: do we need zb_nl?, zb_ml? |
|---|
| 511 | CALL zdf_osm_vertical_average(ibld, zt_bl, zs_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl) |
|---|
| 512 | CALL zdf_osm_vertical_average(imld, zt_ml, zs_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml) |
|---|
| 513 | ! External gradient |
|---|
| 514 | CALL zdf_osm_external_gradients( zdtdz_ext, zdsdz_ext, zdbdz_ext ) |
|---|
| 515 | |
|---|
| 516 | |
|---|
| 517 | IF ( ln_osm_mle ) THEN |
|---|
| 518 | CALL zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle ) |
|---|
| 519 | CALL zdf_osm_mle_parameters( hmle, zwb_fk, zvel_mle, zdiff_mle ) |
|---|
| 520 | ENDIF |
|---|
| 521 | |
|---|
| 522 | ! Rate of change of hbl |
|---|
| 523 | CALL zdf_osm_calculate_dhdt( zdhdt, zdhdt_2 ) |
|---|
| 524 | ! Calculate averages over depth of boundary layer |
|---|
| 525 | DO jj = 2, jpjm1 |
|---|
| 526 | DO ji = 2, jpim1 |
|---|
| 527 | zhbl_t(ji,jj) = hbl(ji,jj) + (zdhdt(ji,jj) - wn(ji,jj,ibld(ji,jj)))* rn_rdt ! certainly need wn here, so subtract it |
|---|
| 528 | ! adjustment to represent limiting by ocean bottom |
|---|
| 529 | zhbl_t(ji,jj) = MIN(zhbl_t(ji,jj), gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol)! ht_n(:,:)) |
|---|
| 530 | END DO |
|---|
| 531 | END DO |
|---|
| 532 | |
|---|
| 533 | imld(:,:) = ibld(:,:) ! use imld to hold previous blayer index |
|---|
| 534 | ibld(:,:) = 4 |
|---|
| 535 | |
|---|
| 536 | DO jk = 4, jpkm1 |
|---|
| 537 | DO jj = 2, jpjm1 |
|---|
| 538 | DO ji = 2, jpim1 |
|---|
| 539 | IF ( zhbl_t(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
|---|
| 540 | ibld(ji,jj) = jk |
|---|
| 541 | ENDIF |
|---|
| 542 | END DO |
|---|
| 543 | END DO |
|---|
| 544 | END DO |
|---|
| 545 | |
|---|
| 546 | ! |
|---|
| 547 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
|---|
| 548 | ! |
|---|
| 549 | CALL zdf_osm_timestep_hbl( zdhdt, zdhdt_2 ) |
|---|
| 550 | ! Alan: do we need zb_ml? |
|---|
| 551 | CALL zdf_osm_vertical_average( ibld, zt_bl, zs_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
|---|
| 552 | ! |
|---|
| 553 | ! |
|---|
| 554 | CALL zdf_osm_pycnocline_thickness( dh, zdh ) |
|---|
| 555 | dstokes(:,:) = MIN ( dstokes(:,:), hbl(:,:)/3. ) ! Limit delta for shallow boundary layers for calculating flux-gradient terms. |
|---|
| 556 | ! |
|---|
| 557 | ! Average over the depth of the mixed layer in the convective boundary layer |
|---|
| 558 | ! Alan: do we need zb_ml? |
|---|
| 559 | CALL zdf_osm_vertical_average( imld, zt_ml, zs_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml ) |
|---|
| 560 | ! rotate mean currents and changes onto wind align co-ordinates |
|---|
| 561 | ! |
|---|
| 562 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_ml, zv_ml, zdu_ml, zdv_ml ) |
|---|
| 563 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_bl, zv_bl, zdu_bl, zdv_bl ) |
|---|
| 564 | zuw_bse = 0._wp |
|---|
| 565 | zvw_bse = 0._wp |
|---|
| 566 | zwth_ent = 0._wp |
|---|
| 567 | zws_ent = 0._wp |
|---|
| 568 | DO jj = 2, jpjm1 |
|---|
| 569 | DO ji = 2, jpim1 |
|---|
| 570 | IF ( ibld(ji,jj) < mbkt(ji,jj) ) THEN |
|---|
| 571 | IF ( lconv(ji,jj) ) THEN |
|---|
| 572 | zuw_bse(ji,jj) = -0.0075*((zvstr(ji,jj)**3+0.5*zwstrc(ji,jj)**3)**pthird*zdu_ml(ji,jj) + & |
|---|
| 573 | & 1.5*zustar(ji,jj)**2*(zhbl(ji,jj)-zhml(ji,jj)) )/ & |
|---|
| 574 | & ( zhml(ji,jj)*MIN(zla(ji,jj)**(8./3.),1.) + epsln) |
|---|
| 575 | zvw_bse(ji,jj) = 0.01*(-(zvstr(ji,jj)**3+0.5*zwstrc(ji,jj)**3)**pthird*zdv_ml(ji,jj)+ & |
|---|
| 576 | & 2.0*ff_t(ji,jj)*zustke(ji,jj)*dstokes(ji,jj)*zla(ji,jj)) |
|---|
| 577 | IF ( zdb_ml(ji,jj) > 0._wp ) THEN |
|---|
| 578 | zwth_ent(ji,jj) = zwb_ent(ji,jj) * zdt_ml(ji,jj) / (zdb_ml(ji,jj) + epsln) |
|---|
| 579 | zws_ent(ji,jj) = zwb_ent(ji,jj) * zds_ml(ji,jj) / (zdb_ml(ji,jj) + epsln) |
|---|
| 580 | ENDIF |
|---|
| 581 | ELSE |
|---|
| 582 | zwth_ent(ji,jj) = -2.0 * zwthav(ji,jj) * ( (1.0 - 0.8) - ( 1.0 - 0.8)**(3.0/2.0) ) |
|---|
| 583 | zws_ent(ji,jj) = -2.0 * zwsav(ji,jj) * ( (1.0 - 0.8 ) - ( 1.0 - 0.8 )**(3.0/2.0) ) |
|---|
| 584 | ENDIF |
|---|
| 585 | ENDIF |
|---|
| 586 | END DO |
|---|
| 587 | END DO |
|---|
| 588 | |
|---|
| 589 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 590 | ! Pycnocline gradients for scalars and velocity |
|---|
| 591 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 592 | |
|---|
| 593 | CALL zdf_osm_external_gradients( zdtdz_ext, zdsdz_ext, zdbdz_ext ) |
|---|
| 594 | CALL zdf_osm_pycnocline_scalar_profiles( zdtdz_pyc, zdsdz_pyc, zdbdz_pyc ) |
|---|
| 595 | CALL zdf_osm_pycnocline_shear_profiles( zdudz_pyc, zdvdz_pyc ) |
|---|
| 596 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 597 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
|---|
| 598 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 599 | |
|---|
| 600 | DO jj = 2, jpjm1 |
|---|
| 601 | DO ji = 2, jpim1 |
|---|
| 602 | IF ( lconv(ji,jj) ) THEN |
|---|
| 603 | zdifml_sc(ji,jj) = zhml(ji,jj) * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 604 | zvisml_sc(ji,jj) = zdifml_sc(ji,jj) |
|---|
| 605 | zdifpyc_sc(ji,jj) = 0.165 * ( zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3 )**pthird * zdh(ji,jj) |
|---|
| 606 | zvispyc_sc(ji,jj) = 0.142 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zdh(ji,jj) |
|---|
| 607 | zbeta_d_sc(ji,jj) = 1.0 - (0.165 / 0.8 * zdh(ji,jj) / zhbl(ji,jj) )**p2third |
|---|
| 608 | zbeta_v_sc(ji,jj) = 1.0 - 2.0 * (0.142 /0.375) * zdh(ji,jj) / ( zhml(ji,jj) + epsln ) |
|---|
| 609 | ELSE |
|---|
| 610 | zdifml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ) |
|---|
| 611 | zvisml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ) |
|---|
| 612 | END IF |
|---|
| 613 | END DO |
|---|
| 614 | END DO |
|---|
| 615 | ! |
|---|
| 616 | DO jj = 2, jpjm1 |
|---|
| 617 | DO ji = 2, jpim1 |
|---|
| 618 | IF ( lconv(ji,jj) ) THEN |
|---|
| 619 | DO jk = 2, imld(ji,jj) ! mixed layer diffusivity |
|---|
| 620 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 621 | ! |
|---|
| 622 | zdiffut(ji,jj,jk) = 0.8 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
|---|
| 623 | ! |
|---|
| 624 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_v_sc(ji,jj) * zznd_ml ) & |
|---|
| 625 | & * ( 1.0 - 0.5 * zznd_ml**2 ) |
|---|
| 626 | END DO |
|---|
| 627 | ! pycnocline - if present linear profile |
|---|
| 628 | IF ( zdh(ji,jj) > 0._wp ) THEN |
|---|
| 629 | zgamma_b = 6.0 |
|---|
| 630 | DO jk = imld(ji,jj)+1 , ibld(ji,jj) |
|---|
| 631 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) / zdh(ji,jj) |
|---|
| 632 | ! |
|---|
| 633 | zdiffut(ji,jj,jk) = zdifpyc_sc(ji,jj) * EXP( zgamma_b * zznd_pyc ) |
|---|
| 634 | ! |
|---|
| 635 | zviscos(ji,jj,jk) = zvispyc_sc(ji,jj) * EXP( zgamma_b * zznd_pyc ) |
|---|
| 636 | END DO |
|---|
| 637 | IF ( ibld_ext == 0 ) THEN |
|---|
| 638 | zdiffut(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 639 | zviscos(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 640 | ELSE |
|---|
| 641 | zdiffut(ji,jj,ibld(ji,jj)) = zdhdt(ji,jj) * ( hbl(ji,jj) - gdepw_n(ji, jj, ibld(ji,jj)-1) ) |
|---|
| 642 | zviscos(ji,jj,ibld(ji,jj)) = zdhdt(ji,jj) * ( hbl(ji,jj) - gdepw_n(ji, jj, ibld(ji,jj)-1) ) |
|---|
| 643 | ENDIF |
|---|
| 644 | ENDIF |
|---|
| 645 | ! Temporary fix to ensure zdiffut is +ve; won't be necessary with wn taken out |
|---|
| 646 | zdiffut(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj) * e3t_n(ji,jj,ibld(ji,jj)), 1.e-6) |
|---|
| 647 | zviscos(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj) * e3t_n(ji,jj,ibld(ji,jj)), 1.e-5) |
|---|
| 648 | ! could be taken out, take account of entrainment represents as a diffusivity |
|---|
| 649 | ! should remove w from here, represents entrainment |
|---|
| 650 | ELSE |
|---|
| 651 | ! stable conditions |
|---|
| 652 | DO jk = 2, ibld(ji,jj) |
|---|
| 653 | zznd_ml = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 654 | zdiffut(ji,jj,jk) = 0.75 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zznd_ml )**1.5 |
|---|
| 655 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * (1.0 - zznd_ml) * ( 1.0 - zznd_ml**2 ) |
|---|
| 656 | END DO |
|---|
| 657 | |
|---|
| 658 | IF ( ibld_ext == 0 ) THEN |
|---|
| 659 | zdiffut(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 660 | zviscos(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 661 | ELSE |
|---|
| 662 | zdiffut(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 0._wp) * e3w_n(ji, jj, ibld(ji,jj)) |
|---|
| 663 | zviscos(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 0._wp) * e3w_n(ji, jj, ibld(ji,jj)) |
|---|
| 664 | ENDIF |
|---|
| 665 | ENDIF ! end if ( lconv ) |
|---|
| 666 | ! |
|---|
| 667 | END DO ! end of ji loop |
|---|
| 668 | END DO ! end of jj loop |
|---|
| 669 | |
|---|
| 670 | ! |
|---|
| 671 | ! calculate non-gradient components of the flux-gradient relationships |
|---|
| 672 | ! |
|---|
| 673 | ! Stokes term in scalar flux, flux-gradient relationship |
|---|
| 674 | WHERE ( lconv ) |
|---|
| 675 | zsc_wth_1 = zwstrl**3 * zwth0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln) |
|---|
| 676 | ! |
|---|
| 677 | zsc_ws_1 = zwstrl**3 * zws0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 678 | ELSEWHERE |
|---|
| 679 | zsc_wth_1 = 2.0 * zwthav |
|---|
| 680 | ! |
|---|
| 681 | zsc_ws_1 = 2.0 * zwsav |
|---|
| 682 | ENDWHERE |
|---|
| 683 | |
|---|
| 684 | |
|---|
| 685 | DO jj = 2, jpjm1 |
|---|
| 686 | DO ji = 2, jpim1 |
|---|
| 687 | IF ( lconv(ji,jj) ) THEN |
|---|
| 688 | DO jk = 2, imld(ji,jj) |
|---|
| 689 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 690 | 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) |
|---|
| 691 | ! |
|---|
| 692 | 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) |
|---|
| 693 | END DO ! end jk loop |
|---|
| 694 | ELSE ! else for if (lconv) |
|---|
| 695 | ! Stable conditions |
|---|
| 696 | DO jk = 2, ibld(ji,jj) |
|---|
| 697 | zznd_d=gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 698 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.5 * EXP ( -0.9 * zznd_d ) & |
|---|
| 699 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
|---|
| 700 | ! |
|---|
| 701 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.5 * EXP ( -0.9 * zznd_d ) & |
|---|
| 702 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
|---|
| 703 | END DO |
|---|
| 704 | ENDIF ! endif for check on lconv |
|---|
| 705 | |
|---|
| 706 | END DO ! end of ji loop |
|---|
| 707 | END DO ! end of jj loop |
|---|
| 708 | |
|---|
| 709 | ! 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) |
|---|
| 710 | WHERE ( lconv ) |
|---|
| 711 | zsc_uw_1 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MAX( ( 1.0 - 1.0 * 6.5 * zla**(8.0/3.0) ), 0.2 ) |
|---|
| 712 | zsc_uw_2 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MIN( zla**(8.0/3.0) + epsln, 0.12 ) |
|---|
| 713 | zsc_vw_1 = ff_t * zhml * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / ( ( zvstr**3 + 0.5 * zwstrc**3 )**(2.0/3.0) + epsln ) |
|---|
| 714 | ELSEWHERE |
|---|
| 715 | zsc_uw_1 = zustar**2 |
|---|
| 716 | zsc_vw_1 = ff_t * zhbl * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / (zvstr**2 + epsln) |
|---|
| 717 | ENDWHERE |
|---|
| 718 | IF(ln_dia_osm) THEN |
|---|
| 719 | IF ( iom_use("ghamu_00") ) CALL iom_put( "ghamu_00", wmask*ghamu ) |
|---|
| 720 | IF ( iom_use("ghamv_00") ) CALL iom_put( "ghamv_00", wmask*ghamv ) |
|---|
| 721 | END IF |
|---|
| 722 | DO jj = 2, jpjm1 |
|---|
| 723 | DO ji = 2, jpim1 |
|---|
| 724 | IF ( lconv(ji,jj) ) THEN |
|---|
| 725 | DO jk = 2, imld(ji,jj) |
|---|
| 726 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 727 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05 * EXP ( -0.4 * zznd_d ) * zsc_uw_1(ji,jj) & |
|---|
| 728 | & + 0.00125 * EXP ( - zznd_d ) * zsc_uw_2(ji,jj) ) & |
|---|
| 729 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) |
|---|
| 730 | ! |
|---|
| 731 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65 * 0.15 * EXP ( - zznd_d ) & |
|---|
| 732 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_vw_1(ji,jj) |
|---|
| 733 | END DO ! end jk loop |
|---|
| 734 | ELSE |
|---|
| 735 | ! Stable conditions |
|---|
| 736 | DO jk = 2, ibld(ji,jj) ! corrected to ibld |
|---|
| 737 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 738 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75 * 1.3 * EXP ( -0.5 * zznd_d ) & |
|---|
| 739 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_uw_1(ji,jj) |
|---|
| 740 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0._wp |
|---|
| 741 | END DO ! end jk loop |
|---|
| 742 | ENDIF |
|---|
| 743 | END DO ! ji loop |
|---|
| 744 | END DO ! jj loo |
|---|
| 745 | |
|---|
| 746 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio (X0.3) and pressure (X0.5)] |
|---|
| 747 | |
|---|
| 748 | WHERE ( lconv ) |
|---|
| 749 | zsc_wth_1 = zwbav * zwth0 * ( 1.0 + EXP ( 0.2 * zhol ) ) / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 750 | zsc_ws_1 = zwbav * zws0 * ( 1.0 + EXP ( 0.2 * zhol ) ) / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 751 | ELSEWHERE |
|---|
| 752 | zsc_wth_1 = 0._wp |
|---|
| 753 | zsc_ws_1 = 0._wp |
|---|
| 754 | ENDWHERE |
|---|
| 755 | |
|---|
| 756 | DO jj = 2, jpjm1 |
|---|
| 757 | DO ji = 2, jpim1 |
|---|
| 758 | IF (lconv(ji,jj) ) THEN |
|---|
| 759 | DO jk = 2, imld(ji,jj) |
|---|
| 760 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 761 | ! calculate turbulent length scale |
|---|
| 762 | zl_c = 0.9 * ( 1.0 - EXP ( - 7.0 * ( zznd_ml - zznd_ml**3 / 3.0 ) ) ) & |
|---|
| 763 | & * ( 1.0 - EXP ( -15.0 * ( 1.1 - zznd_ml ) ) ) |
|---|
| 764 | zl_l = 2.0 * ( 1.0 - EXP ( - 2.0 * ( zznd_ml - zznd_ml**3 / 3.0 ) ) ) & |
|---|
| 765 | & * ( 1.0 - EXP ( - 5.0 * ( 1.0 - zznd_ml ) ) ) * ( 1.0 + dstokes(ji,jj) / zhml (ji,jj) ) |
|---|
| 766 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0 + EXP ( -3.0 * LOG10 ( - zhol(ji,jj) ) ) ) ** (3.0/2.0) |
|---|
| 767 | ! non-gradient buoyancy terms |
|---|
| 768 | 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 ) |
|---|
| 769 | 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 ) |
|---|
| 770 | END DO |
|---|
| 771 | ELSE |
|---|
| 772 | DO jk = 2, ibld(ji,jj) |
|---|
| 773 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
|---|
| 774 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
|---|
| 775 | END DO |
|---|
| 776 | ENDIF |
|---|
| 777 | END DO ! ji loop |
|---|
| 778 | END DO ! jj loop |
|---|
| 779 | |
|---|
| 780 | WHERE ( lconv ) |
|---|
| 781 | zsc_uw_1 = -zwb0 * zustar**2 * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 782 | zsc_uw_2 = zwb0 * zustke * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln )**(2.0/3.0) |
|---|
| 783 | zsc_vw_1 = 0._wp |
|---|
| 784 | ELSEWHERE |
|---|
| 785 | zsc_uw_1 = 0._wp |
|---|
| 786 | zsc_vw_1 = 0._wp |
|---|
| 787 | ENDWHERE |
|---|
| 788 | |
|---|
| 789 | DO jj = 2, jpjm1 |
|---|
| 790 | DO ji = 2, jpim1 |
|---|
| 791 | IF ( lconv(ji,jj) ) THEN |
|---|
| 792 | DO jk = 2 , imld(ji,jj) |
|---|
| 793 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 794 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3 * 0.5 * ( zsc_uw_1(ji,jj) + 0.125 * EXP( -0.5 * zznd_d ) & |
|---|
| 795 | & * ( 1.0 - EXP( -0.5 * zznd_d ) ) & |
|---|
| 796 | & * zsc_uw_2(ji,jj) ) |
|---|
| 797 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
|---|
| 798 | END DO ! jk loop |
|---|
| 799 | ELSE |
|---|
| 800 | ! stable conditions |
|---|
| 801 | DO jk = 2, ibld(ji,jj) |
|---|
| 802 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
|---|
| 803 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
|---|
| 804 | END DO |
|---|
| 805 | ENDIF |
|---|
| 806 | END DO ! ji loop |
|---|
| 807 | END DO ! jj loop |
|---|
| 808 | |
|---|
| 809 | IF(ln_dia_osm) THEN |
|---|
| 810 | IF ( iom_use("ghamu_0") ) CALL iom_put( "ghamu_0", wmask*ghamu ) |
|---|
| 811 | IF ( iom_use("zsc_uw_1_0") ) CALL iom_put( "zsc_uw_1_0", tmask(:,:,1)*zsc_uw_1 ) |
|---|
| 812 | END IF |
|---|
| 813 | ! Transport term in flux-gradient relationship [note : includes ROI ratio (X0.3) ] |
|---|
| 814 | |
|---|
| 815 | WHERE ( lconv ) |
|---|
| 816 | zsc_wth_1 = zwth0 |
|---|
| 817 | zsc_ws_1 = zws0 |
|---|
| 818 | ELSEWHERE |
|---|
| 819 | zsc_wth_1 = 2.0 * zwthav |
|---|
| 820 | zsc_ws_1 = zws0 |
|---|
| 821 | ENDWHERE |
|---|
| 822 | |
|---|
| 823 | DO jj = 2, jpjm1 |
|---|
| 824 | DO ji = 2, jpim1 |
|---|
| 825 | IF ( lconv(ji,jj) ) THEN |
|---|
| 826 | DO jk = 2, imld(ji,jj) |
|---|
| 827 | zznd_ml=gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 828 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * zsc_wth_1(ji,jj) & |
|---|
| 829 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
|---|
| 830 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
|---|
| 831 | & * ( 1.0 - EXP( - 15.0 * ( 1.0 - zznd_ml ) ) ) |
|---|
| 832 | ! |
|---|
| 833 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * zsc_ws_1(ji,jj) & |
|---|
| 834 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
|---|
| 835 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
|---|
| 836 | & * ( 1.0 - EXP ( -15.0 * ( 1.0 - zznd_ml ) ) ) |
|---|
| 837 | END DO |
|---|
| 838 | ELSE |
|---|
| 839 | DO jk = 2, ibld(ji,jj) |
|---|
| 840 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 841 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 842 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
|---|
| 843 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_wth_1(ji,jj) |
|---|
| 844 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
|---|
| 845 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_ws_1(ji,jj) |
|---|
| 846 | END DO |
|---|
| 847 | ENDIF |
|---|
| 848 | ENDDO ! ji loop |
|---|
| 849 | END DO ! jj loop |
|---|
| 850 | |
|---|
| 851 | WHERE ( lconv ) |
|---|
| 852 | zsc_uw_1 = zustar**2 |
|---|
| 853 | zsc_vw_1 = ff_t * zustke * zhml |
|---|
| 854 | ELSEWHERE |
|---|
| 855 | zsc_uw_1 = zustar**2 |
|---|
| 856 | zsc_uw_2 = (2.25 - 3.0 * ( 1.0 - EXP( -1.25 * 2.0 ) ) ) * ( 1.0 - EXP( -4.0 * 2.0 ) ) * zsc_uw_1 |
|---|
| 857 | zsc_vw_1 = ff_t * zustke * zhbl |
|---|
| 858 | zsc_vw_2 = -0.11 * SIN( 3.14159 * ( 2.0 + 0.4 ) ) * EXP(-( 1.5 + 2.0 )**2 ) * zsc_vw_1 |
|---|
| 859 | ENDWHERE |
|---|
| 860 | |
|---|
| 861 | DO jj = 2, jpjm1 |
|---|
| 862 | DO ji = 2, jpim1 |
|---|
| 863 | IF ( lconv(ji,jj) ) THEN |
|---|
| 864 | DO jk = 2, imld(ji,jj) |
|---|
| 865 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 866 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 867 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
|---|
| 868 | & + 0.3 * ( -2.0 + 2.5 * ( 1.0 + 0.1 * zznd_ml**4 ) - EXP ( -8.0 * zznd_ml ) ) * zsc_uw_1(ji,jj) |
|---|
| 869 | ! |
|---|
| 870 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 871 | & + 0.3 * 0.1 * ( EXP( -zznd_d ) + EXP( -5.0 * ( 1.0 - zznd_ml ) ) ) * zsc_vw_1(ji,jj) |
|---|
| 872 | END DO |
|---|
| 873 | ELSE |
|---|
| 874 | DO jk = 2, ibld(ji,jj) |
|---|
| 875 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 876 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 877 | IF ( zznd_d <= 2.0 ) THEN |
|---|
| 878 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5 * 0.3 & |
|---|
| 879 | &* ( 2.25 - 3.0 * ( 1.0 - EXP( - 1.25 * zznd_d ) ) * ( 1.0 - EXP( -2.0 * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
|---|
| 880 | ! |
|---|
| 881 | ELSE |
|---|
| 882 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
|---|
| 883 | & + 0.5 * 0.3 * ( 1.0 - EXP( -5.0 * ( 1.0 - znd ) ) ) * zsc_uw_2(ji,jj) |
|---|
| 884 | ! |
|---|
| 885 | ENDIF |
|---|
| 886 | |
|---|
| 887 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 888 | & + 0.3 * 0.15 * SIN( 3.14159 * ( 0.65 * zznd_d ) ) * EXP( -0.25 * zznd_d**2 ) * zsc_vw_1(ji,jj) |
|---|
| 889 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 890 | & + 0.3 * 0.15 * EXP( -5.0 * ( 1.0 - znd ) ) * ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
|---|
| 891 | END DO |
|---|
| 892 | ENDIF |
|---|
| 893 | END DO |
|---|
| 894 | END DO |
|---|
| 895 | |
|---|
| 896 | IF(ln_dia_osm) THEN |
|---|
| 897 | IF ( iom_use("ghamu_f") ) CALL iom_put( "ghamu_f", wmask*ghamu ) |
|---|
| 898 | IF ( iom_use("ghamv_f") ) CALL iom_put( "ghamv_f", wmask*ghamv ) |
|---|
| 899 | IF ( iom_use("zsc_uw_1_f") ) CALL iom_put( "zsc_uw_1_f", tmask(:,:,1)*zsc_uw_1 ) |
|---|
| 900 | IF ( iom_use("zsc_vw_1_f") ) CALL iom_put( "zsc_vw_1_f", tmask(:,:,1)*zsc_vw_1 ) |
|---|
| 901 | IF ( iom_use("zsc_uw_2_f") ) CALL iom_put( "zsc_uw_2_f", tmask(:,:,1)*zsc_uw_2 ) |
|---|
| 902 | IF ( iom_use("zsc_vw_2_f") ) CALL iom_put( "zsc_vw_2_f", tmask(:,:,1)*zsc_vw_2 ) |
|---|
| 903 | END IF |
|---|
| 904 | ! |
|---|
| 905 | ! Make surface forced velocity non-gradient terms go to zero at the base of the mixed layer. |
|---|
| 906 | |
|---|
| 907 | DO jj = 2, jpjm1 |
|---|
| 908 | DO ji = 2, jpim1 |
|---|
| 909 | IF ( lconv(ji,jj) ) THEN |
|---|
| 910 | DO jk = 2, ibld(ji,jj) |
|---|
| 911 | znd = ( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) / zhml(ji,jj) !ALMG to think about |
|---|
| 912 | IF ( znd >= 0.0 ) THEN |
|---|
| 913 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -30.0 * znd**2 ) ) |
|---|
| 914 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -30.0 * znd**2 ) ) |
|---|
| 915 | ELSE |
|---|
| 916 | ghamu(ji,jj,jk) = 0._wp |
|---|
| 917 | ghamv(ji,jj,jk) = 0._wp |
|---|
| 918 | ENDIF |
|---|
| 919 | END DO |
|---|
| 920 | ELSE |
|---|
| 921 | DO jk = 2, ibld(ji,jj) |
|---|
| 922 | znd = ( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) / zhml(ji,jj) !ALMG to think about |
|---|
| 923 | IF ( znd >= 0.0 ) THEN |
|---|
| 924 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
|---|
| 925 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
|---|
| 926 | ELSE |
|---|
| 927 | ghamu(ji,jj,jk) = 0._wp |
|---|
| 928 | ghamv(ji,jj,jk) = 0._wp |
|---|
| 929 | ENDIF |
|---|
| 930 | END DO |
|---|
| 931 | ENDIF |
|---|
| 932 | END DO |
|---|
| 933 | END DO |
|---|
| 934 | |
|---|
| 935 | IF(ln_dia_osm) THEN |
|---|
| 936 | IF ( iom_use("ghamu_b") ) CALL iom_put( "ghamu_b", wmask*ghamu ) |
|---|
| 937 | IF ( iom_use("ghamv_b") ) CALL iom_put( "ghamv_b", wmask*ghamv ) |
|---|
| 938 | END IF |
|---|
| 939 | ! pynocline contributions |
|---|
| 940 | ! Temporary fix to avoid instabilities when zdb_bl becomes very very small |
|---|
| 941 | zsc_uw_1 = 0._wp ! 50.0 * zla**(8.0/3.0) * zustar**2 * zhbl / ( zdb_bl + epsln ) |
|---|
| 942 | DO jj = 2, jpjm1 |
|---|
| 943 | DO ji = 2, jpim1 |
|---|
| 944 | IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) THEN |
|---|
| 945 | DO jk= 2, ibld(ji,jj) |
|---|
| 946 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 947 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zdiffut(ji,jj,jk) * zdtdz_pyc(ji,jj,jk) |
|---|
| 948 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zdiffut(ji,jj,jk) * zdsdz_pyc(ji,jj,jk) |
|---|
| 949 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zviscos(ji,jj,jk) * zdudz_pyc(ji,jj,jk) |
|---|
| 950 | 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) |
|---|
| 951 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zviscos(ji,jj,jk) * zdvdz_pyc(ji,jj,jk) |
|---|
| 952 | END DO |
|---|
| 953 | END IF |
|---|
| 954 | END DO |
|---|
| 955 | END DO |
|---|
| 956 | |
|---|
| 957 | ! Entrainment contribution. |
|---|
| 958 | |
|---|
| 959 | DO jj=2, jpjm1 |
|---|
| 960 | DO ji = 2, jpim1 |
|---|
| 961 | IF ( lconv(ji,jj) .AND. ibld(ji,jj) + ibld_ext < mbkt(ji,jj)) THEN |
|---|
| 962 | DO jk = 1, imld(ji,jj) - 1 |
|---|
| 963 | znd=gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 964 | ! ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zwth_ent(ji,jj) * znd |
|---|
| 965 | ! ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws_ent(ji,jj) * znd |
|---|
| 966 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zuw_bse(ji,jj) * znd |
|---|
| 967 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zvw_bse(ji,jj) * znd |
|---|
| 968 | END DO |
|---|
| 969 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 970 | znd = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) / zdh(ji,jj) |
|---|
| 971 | ! ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zwth_ent(ji,jj) * ( 1.0 + znd ) |
|---|
| 972 | ! ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws_ent(ji,jj) * ( 1.0 + znd ) |
|---|
| 973 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zuw_bse(ji,jj) * ( 1.0 + znd ) |
|---|
| 974 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zvw_bse(ji,jj) * ( 1.0 + znd ) |
|---|
| 975 | END DO |
|---|
| 976 | ENDIF |
|---|
| 977 | |
|---|
| 978 | ghamt(ji,jj,ibld(ji,jj)+ibld_ext) = 0._wp |
|---|
| 979 | ghams(ji,jj,ibld(ji,jj)+ibld_ext) = 0._wp |
|---|
| 980 | ghamu(ji,jj,ibld(ji,jj)+ibld_ext) = 0._wp |
|---|
| 981 | ghamv(ji,jj,ibld(ji,jj)+ibld_ext) = 0._wp |
|---|
| 982 | END DO ! ji loop |
|---|
| 983 | END DO ! jj loop |
|---|
| 984 | |
|---|
| 985 | IF(ln_dia_osm) THEN |
|---|
| 986 | IF ( iom_use("ghamu_1") ) CALL iom_put( "ghamu_1", wmask*ghamu ) |
|---|
| 987 | IF ( iom_use("ghamv_1") ) CALL iom_put( "ghamv_1", wmask*ghamv ) |
|---|
| 988 | IF ( iom_use("zuw_bse") ) CALL iom_put( "zuw_bse", tmask(:,:,1)*zuw_bse ) |
|---|
| 989 | IF ( iom_use("zvw_bse") ) CALL iom_put( "zvw_bse", tmask(:,:,1)*zvw_bse ) |
|---|
| 990 | IF ( iom_use("zdudz_pyc") ) CALL iom_put( "zdudz_pyc", wmask*zdudz_pyc ) |
|---|
| 991 | IF ( iom_use("zdvdz_pyc") ) CALL iom_put( "zdvdz_pyc", wmask*zdvdz_pyc ) |
|---|
| 992 | IF ( iom_use("zviscos") ) CALL iom_put( "zviscos", wmask*zviscos ) |
|---|
| 993 | END IF |
|---|
| 994 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 995 | ! Need to put in code for contributions that are applied explicitly to |
|---|
| 996 | ! the prognostic variables |
|---|
| 997 | ! 1. Entrainment flux |
|---|
| 998 | ! |
|---|
| 999 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 1000 | |
|---|
| 1001 | |
|---|
| 1002 | |
|---|
| 1003 | ! rotate non-gradient velocity terms back to model reference frame |
|---|
| 1004 | |
|---|
| 1005 | DO jj = 2, jpjm1 |
|---|
| 1006 | DO ji = 2, jpim1 |
|---|
| 1007 | DO jk = 2, ibld(ji,jj) |
|---|
| 1008 | ztemp = ghamu(ji,jj,jk) |
|---|
| 1009 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * zcos_wind(ji,jj) - ghamv(ji,jj,jk) * zsin_wind(ji,jj) |
|---|
| 1010 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * zcos_wind(ji,jj) + ztemp * zsin_wind(ji,jj) |
|---|
| 1011 | END DO |
|---|
| 1012 | END DO |
|---|
| 1013 | END DO |
|---|
| 1014 | |
|---|
| 1015 | IF(ln_dia_osm) THEN |
|---|
| 1016 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
|---|
| 1017 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
|---|
| 1018 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
|---|
| 1019 | END IF |
|---|
| 1020 | |
|---|
| 1021 | ! KPP-style Ri# mixing |
|---|
| 1022 | IF( ln_kpprimix) THEN |
|---|
| 1023 | DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form) |
|---|
| 1024 | DO jj = 1, jpjm1 |
|---|
| 1025 | DO ji = 1, jpim1 ! vector opt. |
|---|
| 1026 | z3du(ji,jj,jk) = 0.5 * ( un(ji,jj,jk-1) - un(ji ,jj,jk) ) & |
|---|
| 1027 | & * ( ub(ji,jj,jk-1) - ub(ji ,jj,jk) ) * wumask(ji,jj,jk) & |
|---|
| 1028 | & / ( e3uw_n(ji,jj,jk) * e3uw_b(ji,jj,jk) ) |
|---|
| 1029 | z3dv(ji,jj,jk) = 0.5 * ( vn(ji,jj,jk-1) - vn(ji,jj ,jk) ) & |
|---|
| 1030 | & * ( vb(ji,jj,jk-1) - vb(ji,jj ,jk) ) * wvmask(ji,jj,jk) & |
|---|
| 1031 | & / ( e3vw_n(ji,jj,jk) * e3vw_b(ji,jj,jk) ) |
|---|
| 1032 | END DO |
|---|
| 1033 | END DO |
|---|
| 1034 | END DO |
|---|
| 1035 | ! |
|---|
| 1036 | DO jk = 2, jpkm1 |
|---|
| 1037 | DO jj = 2, jpjm1 |
|---|
| 1038 | DO ji = 2, jpim1 ! vector opt. |
|---|
| 1039 | ! ! shear prod. at w-point weightened by mask |
|---|
| 1040 | zesh2 = ( z3du(ji-1,jj,jk) + z3du(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) & |
|---|
| 1041 | & + ( z3dv(ji,jj-1,jk) + z3dv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
|---|
| 1042 | ! ! local Richardson number |
|---|
| 1043 | zri = MAX( rn2b(ji,jj,jk), 0._wp ) / MAX(zesh2, epsln) |
|---|
| 1044 | zfri = MIN( zri / rn_riinfty , 1.0_wp ) |
|---|
| 1045 | zfri = ( 1.0_wp - zfri * zfri ) |
|---|
| 1046 | zrimix(ji,jj,jk) = zfri * zfri * zfri * wmask(ji, jj, jk) |
|---|
| 1047 | END DO |
|---|
| 1048 | END DO |
|---|
| 1049 | END DO |
|---|
| 1050 | |
|---|
| 1051 | DO jj = 2, jpjm1 |
|---|
| 1052 | DO ji = 2, jpim1 |
|---|
| 1053 | DO jk = ibld(ji,jj) + 1, jpkm1 |
|---|
| 1054 | zdiffut(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
|---|
| 1055 | zviscos(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
|---|
| 1056 | END DO |
|---|
| 1057 | END DO |
|---|
| 1058 | END DO |
|---|
| 1059 | |
|---|
| 1060 | END IF ! ln_kpprimix = .true. |
|---|
| 1061 | |
|---|
| 1062 | ! KPP-style set diffusivity large if unstable below BL |
|---|
| 1063 | IF( ln_convmix) THEN |
|---|
| 1064 | DO jj = 2, jpjm1 |
|---|
| 1065 | DO ji = 2, jpim1 |
|---|
| 1066 | DO jk = ibld(ji,jj) + 1, jpkm1 |
|---|
| 1067 | IF( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1.e-12 ) zdiffut(ji,jj,jk) = rn_difconv |
|---|
| 1068 | END DO |
|---|
| 1069 | END DO |
|---|
| 1070 | END DO |
|---|
| 1071 | END IF ! ln_convmix = .true. |
|---|
| 1072 | |
|---|
| 1073 | |
|---|
| 1074 | |
|---|
| 1075 | IF ( ln_osm_mle ) THEN ! set up diffusivity and non-gradient mixing |
|---|
| 1076 | DO jj = 2 , jpjm1 |
|---|
| 1077 | DO ji = 2, jpim1 |
|---|
| 1078 | IF ( lconv(ji,jj) .AND. mld_prof(ji,jj) - ibld(ji,jj) > 1 ) THEN ! MLE mmixing extends below the OSBL. |
|---|
| 1079 | ! Calculate MLE flux profiles |
|---|
| 1080 | ! DO jk = 1, mld_prof(ji,jj) |
|---|
| 1081 | ! znd = - gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
|---|
| 1082 | ! ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + & |
|---|
| 1083 | ! & zwt_fk(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + r5_21 * ( 2.0 * znd + 1.0 )**2 ) |
|---|
| 1084 | ! ghams(ji,jj,jk) = ghams(ji,jj,jk) + & |
|---|
| 1085 | ! & zws_fk(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + r5_21 * ( 2.0 * znd + 1.0 )**2 ) |
|---|
| 1086 | ! END DO |
|---|
| 1087 | ! Calculate MLE flux contribution from surface fluxes |
|---|
| 1088 | DO jk = 1, ibld(ji,jj) |
|---|
| 1089 | znd = gdepw_n(ji,jj,jk) / MAX(zhbl(ji,jj),epsln) |
|---|
| 1090 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - zwth0(ji,jj) * ( 1.0 - znd ) |
|---|
| 1091 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - zws0(ji,jj) * ( 1.0 - znd ) |
|---|
| 1092 | END DO |
|---|
| 1093 | DO jk = 1, mld_prof(ji,jj) |
|---|
| 1094 | znd = gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
|---|
| 1095 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zwth0(ji,jj) * ( 1.0 - znd ) |
|---|
| 1096 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws0(ji,jj) * ( 1.0 -znd ) |
|---|
| 1097 | END DO |
|---|
| 1098 | ! Viscosity for MLEs |
|---|
| 1099 | DO jk = ibld(ji,jj), mld_prof(ji,jj) |
|---|
| 1100 | zdiffut(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), zdiff_mle(ji,jj) ) |
|---|
| 1101 | END DO |
|---|
| 1102 | ! Iterate to find approx vertical index for depth 1.1*zhmle(ji,jj) |
|---|
| 1103 | jl = MIN(mld_prof(ji,jj) + 2, mbkt(ji,jj)) |
|---|
| 1104 | jl = MIN( MAX(INT( 0.1 * zhmle(ji,jj) / e3t_n(ji,jj,jl)), 2 ) + mld_prof(ji,jj), mbkt(ji,jj)) |
|---|
| 1105 | DO jk = mld_prof(ji,jj), jl |
|---|
| 1106 | zdiffut(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), zdiff_mle(ji,jj) * & |
|---|
| 1107 | & ( gdepw_n(ji,jj,jk) - gdepw_n(ji,jj,jl) ) / & |
|---|
| 1108 | & ( gdepw_n(ji,jj,mld_prof(ji,jj)) - gdepw_n(ji,jj,jl) - epsln)) |
|---|
| 1109 | END DO |
|---|
| 1110 | ENDIF |
|---|
| 1111 | END DO |
|---|
| 1112 | END DO |
|---|
| 1113 | ENDIF |
|---|
| 1114 | |
|---|
| 1115 | IF(ln_dia_osm) THEN |
|---|
| 1116 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
|---|
| 1117 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
|---|
| 1118 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
|---|
| 1119 | END IF |
|---|
| 1120 | |
|---|
| 1121 | |
|---|
| 1122 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
|---|
| 1123 | !CALL lbc_lnk( zviscos(:,:,:), 'W', 1. ) |
|---|
| 1124 | |
|---|
| 1125 | ! GN 25/8: need to change tmask --> wmask |
|---|
| 1126 | |
|---|
| 1127 | DO jk = 2, jpkm1 |
|---|
| 1128 | DO jj = 2, jpjm1 |
|---|
| 1129 | DO ji = 2, jpim1 |
|---|
| 1130 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1131 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1132 | END DO |
|---|
| 1133 | END DO |
|---|
| 1134 | END DO |
|---|
| 1135 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and v grids |
|---|
| 1136 | CALL lbc_lnk_multi( 'zdfosm', p_avt, 'W', 1. , p_avm, 'W', 1., & |
|---|
| 1137 | & ghamu, 'W', 1. , ghamv, 'W', 1. ) |
|---|
| 1138 | DO jk = 2, jpkm1 |
|---|
| 1139 | DO jj = 2, jpjm1 |
|---|
| 1140 | DO ji = 2, jpim1 |
|---|
| 1141 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) & |
|---|
| 1142 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
|---|
| 1143 | |
|---|
| 1144 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) & |
|---|
| 1145 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
|---|
| 1146 | |
|---|
| 1147 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1148 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1149 | END DO |
|---|
| 1150 | END DO |
|---|
| 1151 | END DO |
|---|
| 1152 | ! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged) |
|---|
| 1153 | CALL lbc_lnk_multi( 'zdfosm', hbl, 'T', 1., dh, 'T', 1., hmle, 'T', 1. ) |
|---|
| 1154 | ! Lateral boundary conditions on final outputs for gham[ts], on W-grid (sign unchanged) |
|---|
| 1155 | ! Lateral boundary conditions on final outputs for gham[uv], on [UV]-grid (sign unchanged) |
|---|
| 1156 | CALL lbc_lnk_multi( 'zdfosm', ghamt, 'W', 1. , ghams, 'W', 1., & |
|---|
| 1157 | & ghamu, 'U', -1. , ghamv, 'V', -1. ) |
|---|
| 1158 | |
|---|
| 1159 | IF(ln_dia_osm) THEN |
|---|
| 1160 | SELECT CASE (nn_osm_wave) |
|---|
| 1161 | ! Stokes drift set by assumimg onstant La#=0.3(=0) or Pierson-Moskovitz spectrum (=1). |
|---|
| 1162 | CASE(0:1) |
|---|
| 1163 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", tmask(:,:,1)*zustke*zcos_wind ) ! x surface Stokes drift |
|---|
| 1164 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", tmask(:,:,1)*zustke*zsin_wind ) ! y surface Stokes drift |
|---|
| 1165 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
|---|
| 1166 | ! Stokes drift read in from sbcwave (=2). |
|---|
| 1167 | CASE(2) |
|---|
| 1168 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", ut0sd*umask(:,:,1) ) ! x surface Stokes drift |
|---|
| 1169 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", vt0sd*vmask(:,:,1) ) ! y surface Stokes drift |
|---|
| 1170 | IF ( iom_use("wmp") ) CALL iom_put( "wmp", wmp*tmask(:,:,1) ) ! wave mean period |
|---|
| 1171 | IF ( iom_use("hsw") ) CALL iom_put( "hsw", hsw*tmask(:,:,1) ) ! significant wave height |
|---|
| 1172 | IF ( iom_use("wmp_NP") ) CALL iom_put( "wmp_NP", (2.*rpi*1.026/(0.877*grav) )*wndm*tmask(:,:,1) ) ! wave mean period from NP spectrum |
|---|
| 1173 | IF ( iom_use("hsw_NP") ) CALL iom_put( "hsw_NP", (0.22/grav)*wndm**2*tmask(:,:,1) ) ! significant wave height from NP spectrum |
|---|
| 1174 | IF ( iom_use("wndm") ) CALL iom_put( "wndm", wndm*tmask(:,:,1) ) ! U_10 |
|---|
| 1175 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2* & |
|---|
| 1176 | & SQRT(ut0sd**2 + vt0sd**2 ) ) |
|---|
| 1177 | END SELECT |
|---|
| 1178 | IF ( iom_use("ghamt") ) CALL iom_put( "ghamt", tmask*ghamt ) ! <Tw_NL> |
|---|
| 1179 | IF ( iom_use("ghams") ) CALL iom_put( "ghams", tmask*ghams ) ! <Sw_NL> |
|---|
| 1180 | IF ( iom_use("ghamu") ) CALL iom_put( "ghamu", umask*ghamu ) ! <uw_NL> |
|---|
| 1181 | IF ( iom_use("ghamv") ) CALL iom_put( "ghamv", vmask*ghamv ) ! <vw_NL> |
|---|
| 1182 | IF ( iom_use("zwth0") ) CALL iom_put( "zwth0", tmask(:,:,1)*zwth0 ) ! <Tw_0> |
|---|
| 1183 | IF ( iom_use("zws0") ) CALL iom_put( "zws0", tmask(:,:,1)*zws0 ) ! <Sw_0> |
|---|
| 1184 | IF ( iom_use("hbl") ) CALL iom_put( "hbl", tmask(:,:,1)*hbl ) ! boundary-layer depth |
|---|
| 1185 | IF ( iom_use("ibld") ) CALL iom_put( "ibld", tmask(:,:,1)*ibld ) ! boundary-layer max k |
|---|
| 1186 | IF ( iom_use("zdt_bl") ) CALL iom_put( "zdt_bl", tmask(:,:,1)*zdt_bl ) ! dt at ml base |
|---|
| 1187 | IF ( iom_use("zds_bl") ) CALL iom_put( "zds_bl", tmask(:,:,1)*zds_bl ) ! ds at ml base |
|---|
| 1188 | IF ( iom_use("zdb_bl") ) CALL iom_put( "zdb_bl", tmask(:,:,1)*zdb_bl ) ! db at ml base |
|---|
| 1189 | IF ( iom_use("zdu_bl") ) CALL iom_put( "zdu_bl", tmask(:,:,1)*zdu_bl ) ! du at ml base |
|---|
| 1190 | IF ( iom_use("zdv_bl") ) CALL iom_put( "zdv_bl", tmask(:,:,1)*zdv_bl ) ! dv at ml base |
|---|
| 1191 | IF ( iom_use("dh") ) CALL iom_put( "dh", tmask(:,:,1)*dh ) ! Initial boundary-layer depth |
|---|
| 1192 | IF ( iom_use("hml") ) CALL iom_put( "hml", tmask(:,:,1)*hml ) ! Initial boundary-layer depth |
|---|
| 1193 | IF ( iom_use("dstokes") ) CALL iom_put( "dstokes", tmask(:,:,1)*dstokes ) ! Stokes drift penetration depth |
|---|
| 1194 | IF ( iom_use("zustke") ) CALL iom_put( "zustke", tmask(:,:,1)*zustke ) ! Stokes drift magnitude at T-points |
|---|
| 1195 | IF ( iom_use("zwstrc") ) CALL iom_put( "zwstrc", tmask(:,:,1)*zwstrc ) ! convective velocity scale |
|---|
| 1196 | IF ( iom_use("zwstrl") ) CALL iom_put( "zwstrl", tmask(:,:,1)*zwstrl ) ! Langmuir velocity scale |
|---|
| 1197 | IF ( iom_use("zustar") ) CALL iom_put( "zustar", tmask(:,:,1)*zustar ) ! friction velocity scale |
|---|
| 1198 | IF ( iom_use("zvstr") ) CALL iom_put( "zvstr", tmask(:,:,1)*zvstr ) ! mixed velocity scale |
|---|
| 1199 | IF ( iom_use("zla") ) CALL iom_put( "zla", tmask(:,:,1)*zla ) ! langmuir # |
|---|
| 1200 | IF ( iom_use("wind_power") ) CALL iom_put( "wind_power", 1000.*rau0*tmask(:,:,1)*zustar**3 ) ! BL depth internal to zdf_osm routine |
|---|
| 1201 | IF ( iom_use("wind_wave_power") ) CALL iom_put( "wind_wave_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
|---|
| 1202 | IF ( iom_use("zhbl") ) CALL iom_put( "zhbl", tmask(:,:,1)*zhbl ) ! BL depth internal to zdf_osm routine |
|---|
| 1203 | IF ( iom_use("zhml") ) CALL iom_put( "zhml", tmask(:,:,1)*zhml ) ! ML depth internal to zdf_osm routine |
|---|
| 1204 | IF ( iom_use("imld") ) CALL iom_put( "imld", tmask(:,:,1)*imld ) ! index for ML depth internal to zdf_osm routine |
|---|
| 1205 | IF ( iom_use("zdh") ) CALL iom_put( "zdh", tmask(:,:,1)*zdh ) ! pyc thicknessh internal to zdf_osm routine |
|---|
| 1206 | IF ( iom_use("zhol") ) CALL iom_put( "zhol", tmask(:,:,1)*zhol ) ! ML depth internal to zdf_osm routine |
|---|
| 1207 | IF ( iom_use("zwthav") ) CALL iom_put( "zwthav", tmask(:,:,1)*zwthav ) ! upward BL-avged turb temp flux |
|---|
| 1208 | IF ( iom_use("zwth_ent") ) CALL iom_put( "zwth_ent", tmask(:,:,1)*zwth_ent ) ! upward turb temp entrainment flux |
|---|
| 1209 | IF ( iom_use("zwb_ent") ) CALL iom_put( "zwb_ent", tmask(:,:,1)*zwb_ent ) ! upward turb buoyancy entrainment flux |
|---|
| 1210 | IF ( iom_use("zws_ent") ) CALL iom_put( "zws_ent", tmask(:,:,1)*zws_ent ) ! upward turb salinity entrainment flux |
|---|
| 1211 | IF ( iom_use("zt_ml") ) CALL iom_put( "zt_ml", tmask(:,:,1)*zt_ml ) ! average T in ML |
|---|
| 1212 | |
|---|
| 1213 | IF ( iom_use("hmle") ) CALL iom_put( "hmle", tmask(:,:,1)*hmle ) ! FK layer depth |
|---|
| 1214 | IF ( iom_use("zmld") ) CALL iom_put( "zmld", tmask(:,:,1)*zmld ) ! FK target layer depth |
|---|
| 1215 | IF ( iom_use("zwb_fk") ) CALL iom_put( "zwb_fk", tmask(:,:,1)*zwb_fk ) ! FK b flux |
|---|
| 1216 | IF ( iom_use("zwb_fk_b") ) CALL iom_put( "zwb_fk_b", tmask(:,:,1)*zwb_fk_b ) ! FK b flux averaged over ML |
|---|
| 1217 | IF ( iom_use("mld_prof") ) CALL iom_put( "mld_prof", tmask(:,:,1)*mld_prof )! FK layer max k |
|---|
| 1218 | IF ( iom_use("zdtdx") ) CALL iom_put( "zdtdx", umask(:,:,1)*zdtdx ) ! FK dtdx at u-pt |
|---|
| 1219 | IF ( iom_use("zdtdy") ) CALL iom_put( "zdtdy", vmask(:,:,1)*zdtdy ) ! FK dtdy at v-pt |
|---|
| 1220 | IF ( iom_use("zdsdx") ) CALL iom_put( "zdsdx", umask(:,:,1)*zdsdx ) ! FK dtdx at u-pt |
|---|
| 1221 | IF ( iom_use("zdsdy") ) CALL iom_put( "zdsdy", vmask(:,:,1)*zdsdy ) ! FK dsdy at v-pt |
|---|
| 1222 | IF ( iom_use("dbdx_mle") ) CALL iom_put( "dbdx_mle", umask(:,:,1)*dbdx_mle ) ! FK dbdx at u-pt |
|---|
| 1223 | IF ( iom_use("dbdy_mle") ) CALL iom_put( "dbdy_mle", vmask(:,:,1)*dbdy_mle ) ! FK dbdy at v-pt |
|---|
| 1224 | IF ( iom_use("zdiff_mle") ) CALL iom_put( "zdiff_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
|---|
| 1225 | IF ( iom_use("zvel_mle") ) CALL iom_put( "zvel_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
|---|
| 1226 | |
|---|
| 1227 | END IF |
|---|
| 1228 | |
|---|
| 1229 | CONTAINS |
|---|
| 1230 | |
|---|
| 1231 | |
|---|
| 1232 | ! Alan: do we need zb? |
|---|
| 1233 | SUBROUTINE zdf_osm_vertical_average( jnlev_av, zt, zs, zu, zv, zdt, zds, zdb, zdu, zdv ) |
|---|
| 1234 | !!--------------------------------------------------------------------- |
|---|
| 1235 | !! *** ROUTINE zdf_vertical_average *** |
|---|
| 1236 | !! |
|---|
| 1237 | !! ** Purpose : Determines vertical averages from surface to jnlev. |
|---|
| 1238 | !! |
|---|
| 1239 | !! ** Method : Averages are calculated from the surface to jnlev. |
|---|
| 1240 | !! The external level used to calculate differences is ibld+ibld_ext |
|---|
| 1241 | !! |
|---|
| 1242 | !!---------------------------------------------------------------------- |
|---|
| 1243 | |
|---|
| 1244 | INTEGER, DIMENSION(jpi,jpj) :: jnlev_av ! Number of levels to average over. |
|---|
| 1245 | |
|---|
| 1246 | ! Alan: do we need zb? |
|---|
| 1247 | REAL(wp), DIMENSION(jpi,jpj) :: zt, zs ! Average temperature and salinity |
|---|
| 1248 | REAL(wp), DIMENSION(jpi,jpj) :: zu,zv ! Average current components |
|---|
| 1249 | REAL(wp), DIMENSION(jpi,jpj) :: zdt, zds, zdb ! Difference between average and value at base of OSBL |
|---|
| 1250 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Difference for velocity components. |
|---|
| 1251 | |
|---|
| 1252 | INTEGER :: jk, ji, jj |
|---|
| 1253 | REAL(wp) :: zthick, zthermal, zbeta |
|---|
| 1254 | |
|---|
| 1255 | |
|---|
| 1256 | zt = 0._wp |
|---|
| 1257 | zs = 0._wp |
|---|
| 1258 | zu = 0._wp |
|---|
| 1259 | zv = 0._wp |
|---|
| 1260 | DO jj = 2, jpjm1 ! Vertical slab |
|---|
| 1261 | DO ji = 2, jpim1 |
|---|
| 1262 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
|---|
| 1263 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 1264 | ! average over depth of boundary layer |
|---|
| 1265 | zthick = epsln |
|---|
| 1266 | DO jk = 2, jnlev_av(ji,jj) |
|---|
| 1267 | zthick = zthick + e3t_n(ji,jj,jk) |
|---|
| 1268 | zt(ji,jj) = zt(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_tem) |
|---|
| 1269 | zs(ji,jj) = zs(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_sal) |
|---|
| 1270 | zu(ji,jj) = zu(ji,jj) + e3t_n(ji,jj,jk) & |
|---|
| 1271 | & * ( ub(ji,jj,jk) + ub(ji - 1,jj,jk) ) & |
|---|
| 1272 | & / MAX( 1. , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
|---|
| 1273 | zv(ji,jj) = zv(ji,jj) + e3t_n(ji,jj,jk) & |
|---|
| 1274 | & * ( vb(ji,jj,jk) + vb(ji,jj - 1,jk) ) & |
|---|
| 1275 | & / MAX( 1. , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
|---|
| 1276 | END DO |
|---|
| 1277 | zt(ji,jj) = zt(ji,jj) / zthick |
|---|
| 1278 | zs(ji,jj) = zs(ji,jj) / zthick |
|---|
| 1279 | zu(ji,jj) = zu(ji,jj) / zthick |
|---|
| 1280 | zv(ji,jj) = zv(ji,jj) / zthick |
|---|
| 1281 | ! Alan: do we need zb? |
|---|
| 1282 | zdt(ji,jj) = zt(ji,jj) - tsn(ji,jj,ibld(ji,jj)+ibld_ext,jp_tem) |
|---|
| 1283 | zds(ji,jj) = zs(ji,jj) - tsn(ji,jj,ibld(ji,jj)+ibld_ext,jp_sal) |
|---|
| 1284 | zdu(ji,jj) = zu(ji,jj) - ( ub(ji,jj,ibld(ji,jj)+ibld_ext) + ub(ji-1,jj,ibld(ji,jj)+ibld_ext ) ) & |
|---|
| 1285 | & / MAX(1. , umask(ji,jj,ibld(ji,jj)+ibld_ext ) + umask(ji-1,jj,ibld(ji,jj)+ibld_ext ) ) |
|---|
| 1286 | zdv(ji,jj) = zv(ji,jj) - ( vb(ji,jj,ibld(ji,jj)+ibld_ext) + vb(ji,jj-1,ibld(ji,jj)+ibld_ext ) ) & |
|---|
| 1287 | & / MAX(1. , vmask(ji,jj,ibld(ji,jj)+ibld_ext ) + vmask(ji,jj-1,ibld(ji,jj)+ibld_ext ) ) |
|---|
| 1288 | zdb(ji,jj) = grav * zthermal * zdt(ji,jj) - grav * zbeta * zds(ji,jj) |
|---|
| 1289 | END DO |
|---|
| 1290 | END DO |
|---|
| 1291 | END SUBROUTINE zdf_osm_vertical_average |
|---|
| 1292 | |
|---|
| 1293 | SUBROUTINE zdf_osm_velocity_rotation( zcos_w, zsin_w, zu, zv, zdu, zdv ) |
|---|
| 1294 | !!--------------------------------------------------------------------- |
|---|
| 1295 | !! *** ROUTINE zdf_velocity_rotation *** |
|---|
| 1296 | !! |
|---|
| 1297 | !! ** Purpose : Rotates frame of reference of averaged velocity components. |
|---|
| 1298 | !! |
|---|
| 1299 | !! ** Method : The velocity components are rotated into frame specified by zcos_w and zsin_w |
|---|
| 1300 | !! |
|---|
| 1301 | !!---------------------------------------------------------------------- |
|---|
| 1302 | |
|---|
| 1303 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_w, zsin_w ! Cos and Sin of rotation angle |
|---|
| 1304 | REAL(wp), DIMENSION(jpi,jpj) :: zu, zv ! Components of current |
|---|
| 1305 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Change in velocity components across pycnocline |
|---|
| 1306 | |
|---|
| 1307 | INTEGER :: ji, jj |
|---|
| 1308 | REAL(wp) :: ztemp |
|---|
| 1309 | |
|---|
| 1310 | DO jj = 2, jpjm1 |
|---|
| 1311 | DO ji = 2, jpim1 |
|---|
| 1312 | ztemp = zu(ji,jj) |
|---|
| 1313 | zu(ji,jj) = zu(ji,jj) * zcos_w(ji,jj) + zv(ji,jj) * zsin_w(ji,jj) |
|---|
| 1314 | zv(ji,jj) = zv(ji,jj) * zcos_w(ji,jj) - ztemp * zsin_w(ji,jj) |
|---|
| 1315 | ztemp = zdu(ji,jj) |
|---|
| 1316 | zdu(ji,jj) = zdu(ji,jj) * zcos_w(ji,jj) + zdv(ji,jj) * zsin_w(ji,jj) |
|---|
| 1317 | zdv(ji,jj) = zdv(ji,jj) * zsin_w(ji,jj) - ztemp * zsin_w(ji,jj) |
|---|
| 1318 | END DO |
|---|
| 1319 | END DO |
|---|
| 1320 | END SUBROUTINE zdf_osm_velocity_rotation |
|---|
| 1321 | |
|---|
| 1322 | SUBROUTINE zdf_osm_external_gradients( zdtdz, zdsdz, zdbdz ) |
|---|
| 1323 | !!--------------------------------------------------------------------- |
|---|
| 1324 | !! *** ROUTINE zdf_osm_external_gradients *** |
|---|
| 1325 | !! |
|---|
| 1326 | !! ** Purpose : Calculates the gradients below the OSBL |
|---|
| 1327 | !! |
|---|
| 1328 | !! ** Method : Uses ibld and ibld_ext to determine levels to calculate the gradient. |
|---|
| 1329 | !! |
|---|
| 1330 | !!---------------------------------------------------------------------- |
|---|
| 1331 | |
|---|
| 1332 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz, zdsdz, zdbdz ! External gradients of temperature, salinity and buoyancy. |
|---|
| 1333 | |
|---|
| 1334 | INTEGER :: jj, ji, jkb, jkb1 |
|---|
| 1335 | REAL(wp) :: zthermal, zbeta |
|---|
| 1336 | |
|---|
| 1337 | |
|---|
| 1338 | DO jj = 2, jpjm1 |
|---|
| 1339 | DO ji = 2, jpim1 |
|---|
| 1340 | IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) THEN |
|---|
| 1341 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
|---|
| 1342 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 1343 | jkb = ibld(ji,jj) + ibld_ext |
|---|
| 1344 | jkb1 = MIN(jkb + 1, mbkt(ji,jj)) |
|---|
| 1345 | zdtdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_tem) - tsn(ji,jj,jkb,jp_tem ) ) & |
|---|
| 1346 | & / e3t_n(ji,jj,ibld(ji,jj)) |
|---|
| 1347 | zdsdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_sal) - tsn(ji,jj,jkb,jp_sal ) ) & |
|---|
| 1348 | & / e3t_n(ji,jj,ibld(ji,jj)) |
|---|
| 1349 | zdbdz(ji,jj) = grav * zthermal * zdtdz(ji,jj) - grav * zbeta * zdsdz(ji,jj) |
|---|
| 1350 | END IF |
|---|
| 1351 | END DO |
|---|
| 1352 | END DO |
|---|
| 1353 | END SUBROUTINE zdf_osm_external_gradients |
|---|
| 1354 | |
|---|
| 1355 | SUBROUTINE zdf_osm_pycnocline_scalar_profiles( zdtdz, zdsdz, zdbdz ) |
|---|
| 1356 | |
|---|
| 1357 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz, zdsdz, zdbdz ! gradients in the pycnocline |
|---|
| 1358 | |
|---|
| 1359 | INTEGER :: jk, jj, ji |
|---|
| 1360 | REAL(wp) :: ztgrad, zsgrad, zbgrad |
|---|
| 1361 | REAL(wp) :: zgamma_b_nd, zgamma_c, znd |
|---|
| 1362 | REAL(wp) :: zzeta_s=0.3, ztmp |
|---|
| 1363 | |
|---|
| 1364 | DO jj = 2, jpjm1 |
|---|
| 1365 | DO ji = 2, jpim1 |
|---|
| 1366 | IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) THEN |
|---|
| 1367 | IF ( lconv(ji,jj) ) THEN ! convective conditions |
|---|
| 1368 | IF ( zdbdz_ext(ji,jj) > 0._wp .AND. & |
|---|
| 1369 | & (zdhdt(ji,jj) > 0._wp .AND. ln_osm_mle .AND. zdb_bl(ji,jj) > rn_osm_mle_thresh & |
|---|
| 1370 | & .OR. zdb_bl(ji,jj) > 0._wp)) THEN ! zdhdt could be <0 due to FK, hence check zdhdt>0 |
|---|
| 1371 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
|---|
| 1372 | ztgrad = 0.5 * zdt_ml(ji,jj) * ztmp + zdtdz_ext(ji,jj) |
|---|
| 1373 | zsgrad = 0.5 * zds_ml(ji,jj) * ztmp + zdsdz_ext(ji,jj) |
|---|
| 1374 | zbgrad = 0.5 * zdb_ml(ji,jj) * ztmp + zdbdz_ext(ji,jj) |
|---|
| 1375 | zgamma_b_nd = zdbdz_ext(ji,jj) * zdh(ji,jj) / MAX(zdb_ml(ji,jj), epsln) |
|---|
| 1376 | zgamma_c = ( 3.14159 / 4.0 ) * ( 0.5 + zgamma_b_nd ) /& |
|---|
| 1377 | & ( 1.0 - 0.25 * SQRT( 3.14159 / 6.0 ) - 2.0 * zgamma_b_nd * zzeta_s )**2 ! check |
|---|
| 1378 | DO jk = 2, ibld(ji,jj)+ibld_ext |
|---|
| 1379 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) * ztmp |
|---|
| 1380 | IF ( znd <= zzeta_s ) THEN |
|---|
| 1381 | zdtdz(ji,jj,jk) = zdtdz_ext(ji,jj) + 0.5 * zdt_ml(ji,jj) * ztmp * & |
|---|
| 1382 | & EXP( -6.0 * ( znd -zzeta_s )**2 ) |
|---|
| 1383 | zdsdz(ji,jj,jk) = zdsdz_ext(ji,jj) + 0.5 * zds_ml(ji,jj) * ztmp * & |
|---|
| 1384 | & EXP( -6.0 * ( znd -zzeta_s )**2 ) |
|---|
| 1385 | zdbdz(ji,jj,jk) = zdbdz_ext(ji,jj) + 0.5 * zdb_ml(ji,jj) * ztmp * & |
|---|
| 1386 | & EXP( -6.0 * ( znd -zzeta_s )**2 ) |
|---|
| 1387 | ELSE |
|---|
| 1388 | zdtdz(ji,jj,jk) = ztgrad * EXP( -zgamma_c * ( znd - zzeta_s )**2 ) |
|---|
| 1389 | zdsdz(ji,jj,jk) = zsgrad * EXP( -zgamma_c * ( znd - zzeta_s )**2 ) |
|---|
| 1390 | zdbdz(ji,jj,jk) = zbgrad * EXP( -zgamma_c * ( znd - zzeta_s )**2 ) |
|---|
| 1391 | ENDIF |
|---|
| 1392 | END DO |
|---|
| 1393 | ENDIF ! If condition not satisfied, no pycnocline present. Gradients have been initialised to zero, so do nothing |
|---|
| 1394 | ELSE |
|---|
| 1395 | ! stable conditions |
|---|
| 1396 | ! if pycnocline profile only defined when depth steady of increasing. |
|---|
| 1397 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! Depth increasing, or steady. |
|---|
| 1398 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 1399 | IF ( zhol(ji,jj) >= 0.5 ) THEN ! Very stable - 'thick' pycnocline |
|---|
| 1400 | ztmp = 1._wp/MAX(zhbl(ji,jj), epsln) |
|---|
| 1401 | ztgrad = zdt_bl(ji,jj) * ztmp |
|---|
| 1402 | zsgrad = zds_bl(ji,jj) * ztmp |
|---|
| 1403 | zbgrad = zdb_bl(ji,jj) * ztmp |
|---|
| 1404 | DO jk = 2, ibld(ji,jj) |
|---|
| 1405 | znd = gdepw_n(ji,jj,jk) * ztmp |
|---|
| 1406 | zdtdz(ji,jj,jk) = ztgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 1407 | zdbdz(ji,jj,jk) = zbgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 1408 | zdsdz(ji,jj,jk) = zsgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 1409 | END DO |
|---|
| 1410 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
|---|
| 1411 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
|---|
| 1412 | ztgrad = zdt_bl(ji,jj) * ztmp |
|---|
| 1413 | zsgrad = zds_bl(ji,jj) * ztmp |
|---|
| 1414 | zbgrad = zdb_bl(ji,jj) * ztmp |
|---|
| 1415 | DO jk = 2, ibld(ji,jj) |
|---|
| 1416 | znd = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) * ztmp |
|---|
| 1417 | zdtdz(ji,jj,jk) = ztgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 1418 | zdbdz(ji,jj,jk) = zbgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 1419 | zdsdz(ji,jj,jk) = zsgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 1420 | END DO |
|---|
| 1421 | ENDIF ! IF (zhol >=0.5) |
|---|
| 1422 | ENDIF ! IF (zdb_bl> 0.) |
|---|
| 1423 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
|---|
| 1424 | ENDIF ! IF (lconv) |
|---|
| 1425 | END IF ! IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) |
|---|
| 1426 | END DO |
|---|
| 1427 | END DO |
|---|
| 1428 | |
|---|
| 1429 | END SUBROUTINE zdf_osm_pycnocline_scalar_profiles |
|---|
| 1430 | |
|---|
| 1431 | SUBROUTINE zdf_osm_pycnocline_shear_profiles( zdudz, zdvdz ) |
|---|
| 1432 | !!--------------------------------------------------------------------- |
|---|
| 1433 | !! *** ROUTINE zdf_osm_pycnocline_shear_profiles *** |
|---|
| 1434 | !! |
|---|
| 1435 | !! ** Purpose : Calculates velocity shear in the pycnocline |
|---|
| 1436 | !! |
|---|
| 1437 | !! ** Method : |
|---|
| 1438 | !! |
|---|
| 1439 | !!---------------------------------------------------------------------- |
|---|
| 1440 | |
|---|
| 1441 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz, zdvdz |
|---|
| 1442 | |
|---|
| 1443 | INTEGER :: jk, jj, ji |
|---|
| 1444 | REAL(wp) :: zugrad, zvgrad, znd |
|---|
| 1445 | REAL(wp) :: zzeta_v = 0.45 |
|---|
| 1446 | ! |
|---|
| 1447 | DO jj = 2, jpjm1 |
|---|
| 1448 | DO ji = 2, jpim1 |
|---|
| 1449 | ! |
|---|
| 1450 | IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) THEN |
|---|
| 1451 | IF ( lconv (ji,jj) ) THEN |
|---|
| 1452 | ! Unstable conditions |
|---|
| 1453 | zugrad = 0.7 * zdu_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / & |
|---|
| 1454 | & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * & |
|---|
| 1455 | & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 )) |
|---|
| 1456 | !Alan is this right? |
|---|
| 1457 | zvgrad = ( 0.7 * zdv_ml(ji,jj) + & |
|---|
| 1458 | & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / & |
|---|
| 1459 | & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) & |
|---|
| 1460 | & )/ (zdh(ji,jj) + epsln ) |
|---|
| 1461 | DO jk = 2, ibld(ji,jj) - 1 + ibld_ext |
|---|
| 1462 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v |
|---|
| 1463 | IF ( znd <= 0.0 ) THEN |
|---|
| 1464 | zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd ) |
|---|
| 1465 | zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd ) |
|---|
| 1466 | ELSE |
|---|
| 1467 | zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd ) |
|---|
| 1468 | zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd ) |
|---|
| 1469 | ENDIF |
|---|
| 1470 | END DO |
|---|
| 1471 | ELSE |
|---|
| 1472 | ! stable conditions |
|---|
| 1473 | zugrad = 3.25 * zdu_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 1474 | zvgrad = 2.75 * zdv_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 1475 | DO jk = 2, ibld(ji,jj) |
|---|
| 1476 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 1477 | IF ( znd < 1.0 ) THEN |
|---|
| 1478 | zdudz(ji,jj,jk) = zugrad * EXP( -40.0 * ( znd - 1.0 )**2 ) |
|---|
| 1479 | ELSE |
|---|
| 1480 | zdudz(ji,jj,jk) = zugrad * EXP( -20.0 * ( znd - 1.0 )**2 ) |
|---|
| 1481 | ENDIF |
|---|
| 1482 | zdvdz(ji,jj,jk) = zvgrad * EXP( -20.0 * ( znd - 0.85 )**2 ) |
|---|
| 1483 | END DO |
|---|
| 1484 | ENDIF |
|---|
| 1485 | ! |
|---|
| 1486 | END IF ! IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) |
|---|
| 1487 | END DO |
|---|
| 1488 | END DO |
|---|
| 1489 | END SUBROUTINE zdf_osm_pycnocline_shear_profiles |
|---|
| 1490 | |
|---|
| 1491 | SUBROUTINE zdf_osm_calculate_dhdt( zdhdt, zdhdt_2 ) |
|---|
| 1492 | !!--------------------------------------------------------------------- |
|---|
| 1493 | !! *** ROUTINE zdf_osm_calculate_dhdt *** |
|---|
| 1494 | !! |
|---|
| 1495 | !! ** Purpose : Calculates the rate at which hbl changes. |
|---|
| 1496 | !! |
|---|
| 1497 | !! ** Method : |
|---|
| 1498 | !! |
|---|
| 1499 | !!---------------------------------------------------------------------- |
|---|
| 1500 | |
|---|
| 1501 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt, zdhdt_2 ! Rate of change of hbl |
|---|
| 1502 | |
|---|
| 1503 | INTEGER :: jj, ji |
|---|
| 1504 | REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert |
|---|
| 1505 | REAL(wp) :: zvel_max, zwb_min |
|---|
| 1506 | REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes |
|---|
| 1507 | REAL(wp) :: zzeta_m = 0.3 |
|---|
| 1508 | REAL(wp) :: zgamma_c = 2.0 |
|---|
| 1509 | REAL(wp) :: zdhoh = 0.1 |
|---|
| 1510 | REAL(wp) :: alpha_bc = 0.5 |
|---|
| 1511 | |
|---|
| 1512 | DO jj = 2, jpjm1 |
|---|
| 1513 | DO ji = 2, jpim1 |
|---|
| 1514 | IF ( lconv(ji,jj) ) THEN ! Convective |
|---|
| 1515 | ! Alan is this right? Yes, it's a bit different from the previous relationship |
|---|
| 1516 | ! zwb_ent(ji,jj) = - 2.0 * 0.2 * zwbav(ji,jj) & |
|---|
| 1517 | ! & - ( 0.15 * ( 1.0 - EXP( -1.5 * zla(ji,jj) ) ) * zustar(ji,jj)**3 + 0.03 * zwstrl(ji,jj)**3 ) / zhml(ji,jj) |
|---|
| 1518 | zwcor = ABS(ff_t(ji,jj)) * zhbl(ji,jj) + epsln |
|---|
| 1519 | zrf_conv = TANH( ( zwstrc(ji,jj) / zwcor )**0.69 ) |
|---|
| 1520 | zrf_shear = TANH( ( zustar(ji,jj) / zwcor )**0.69 ) |
|---|
| 1521 | zrf_langmuir = TANH( ( zwstrl(ji,jj) / zwcor )**0.69 ) |
|---|
| 1522 | zr_stokes = 1.0 - EXP( -25.0 * dstokes(ji,jj) / hbl(ji,jj) & |
|---|
| 1523 | & * ( 1.0 + 4.0 * dstokes(ji,jj) / hbl(ji,jj) ) ) |
|---|
| 1524 | |
|---|
| 1525 | zwb_ent(ji,jj) = - 2.0 * 0.2 * zrf_conv * zwbav(ji,jj) & |
|---|
| 1526 | & - 0.15 * zrf_shear * zustar(ji,jj)**3 /zhml(ji,jj) & |
|---|
| 1527 | & + zr_stokes * ( 0.15 * EXP( -1.5 * zla(ji,jj) ) * zrf_shear * zustar(ji,jj)**3 & |
|---|
| 1528 | & - zrf_langmuir * 0.03 * zwstrl(ji,jj)**3 ) / zhml(ji,jj) |
|---|
| 1529 | ! |
|---|
| 1530 | zwb_min = dh(ji,jj) * zwb0(ji,jj) / zhml(ji,jj) + zwb_ent(ji,jj) |
|---|
| 1531 | |
|---|
| 1532 | IF ( ln_osm_mle ) THEN |
|---|
| 1533 | ! zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * ( 6.0 * hbl(ji,jj) / hmle(ji,jj) - 1.0 + & |
|---|
| 1534 | ! & ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3 ) ! Fox-Kemper buoyancy flux average over OSBL |
|---|
| 1535 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
|---|
| 1536 | zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * & |
|---|
| 1537 | (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) ) |
|---|
| 1538 | ELSE |
|---|
| 1539 | zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
|---|
| 1540 | ENDIF |
|---|
| 1541 | zvel_max = ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
|---|
| 1542 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN |
|---|
| 1543 | ! OSBL is deepening, entrainment > restratification |
|---|
| 1544 | IF ( zdb_bl(ji,jj) > 0.0 .and. zdbdz_ext(ji,jj) > 0.0 ) THEN |
|---|
| 1545 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
|---|
| 1546 | ELSE |
|---|
| 1547 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15) |
|---|
| 1548 | ENDIF |
|---|
| 1549 | ELSE |
|---|
| 1550 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
|---|
| 1551 | zdhdt(ji,jj) = - zvel_mle(ji,jj) |
|---|
| 1552 | |
|---|
| 1553 | |
|---|
| 1554 | ENDIF |
|---|
| 1555 | |
|---|
| 1556 | ELSE |
|---|
| 1557 | ! Fox-Kemper not used. |
|---|
| 1558 | |
|---|
| 1559 | zvel_max = - ( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_rdt / hbl(ji,jj) ) * zwb_ent(ji,jj) / & |
|---|
| 1560 | & MAX((zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln) |
|---|
| 1561 | zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
|---|
| 1562 | ! added ajgn 23 July as temporay fix |
|---|
| 1563 | |
|---|
| 1564 | ENDIF |
|---|
| 1565 | |
|---|
| 1566 | zdhdt_2(ji,jj) = 0._wp |
|---|
| 1567 | |
|---|
| 1568 | ! commented out ajgn 23 July as temporay fix |
|---|
| 1569 | ! IF ( zdb_ml(ji,jj) > 0.0 .and. zdbdz_ext(ji,jj) > 0.0 ) THEN |
|---|
| 1570 | ! !additional term to account for thickness of pycnocline on dhdt. Small correction, so could get rid of this if necessary. |
|---|
| 1571 | ! zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
|---|
| 1572 | ! zgamma_b_nd = zdbdz_ext(ji,jj) * zhml(ji,jj) / zdb_ml(ji,jj) |
|---|
| 1573 | ! zgamma_dh_nd = zdbdz_ext(ji,jj) * zdh(ji,jj) / zdb_ml(ji,jj) |
|---|
| 1574 | ! zdhdt_2(ji,jj) = ( 1.0 - SQRT( 3.1415 / ( 4.0 * zgamma_c) ) * zdhoh ) * zdh(ji,jj) / zhml(ji,jj) |
|---|
| 1575 | ! zdhdt_2(ji,jj) = zdhdt_2(ji,jj) * ( zwb0(ji,jj) - (1.0 + zgamma_b_nd / alpha_bc ) * zwb_min ) |
|---|
| 1576 | ! ! Alan no idea what this should be? |
|---|
| 1577 | ! zdhdt_2(ji,jj) = alpha_bc / ( 4.0 * zgamma_c ) * zdhdt_2(ji,jj) & |
|---|
| 1578 | ! & + (alpha_bc + zgamma_dh_nd ) * ( 1.0 + SQRT( 3.1414 / ( 4.0 * zgamma_c ) ) * zdh(ji,jj) / zhbl(ji,jj) ) & |
|---|
| 1579 | ! & * (1.0 / ( 4.0 * zgamma_c * alpha_bc ) ) * zwb_min * zdh(ji,jj) / zhbl(ji,jj) |
|---|
| 1580 | ! zdhdt_2(ji,jj) = zdhdt_2(ji,jj) / ( zvel_max + MAX( zdb_bl(ji,jj), 1.0e-15 ) ) |
|---|
| 1581 | ! IF ( zdhdt_2(ji,jj) <= 0.2 * zdhdt(ji,jj) ) THEN |
|---|
| 1582 | ! zdhdt(ji,jj) = zdhdt(ji,jj) + zdhdt_2(ji,jj) |
|---|
| 1583 | ! ENDIF |
|---|
| 1584 | ELSE ! Stable |
|---|
| 1585 | zdhdt(ji,jj) = ( 0.06 + 0.52 * zhol(ji,jj) / 2.0 ) * zvstr(ji,jj)**3 / hbl(ji,jj) + zwbav(ji,jj) |
|---|
| 1586 | zdhdt_2(ji,jj) = 0._wp |
|---|
| 1587 | IF ( zdhdt(ji,jj) < 0._wp ) THEN |
|---|
| 1588 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
|---|
| 1589 | zpert = 2.0 * ( 1.0 + 0.0 * 2.0 * zvstr(ji,jj) * rn_rdt / hbl(ji,jj) ) * zvstr(ji,jj)**2 / hbl(ji,jj) |
|---|
| 1590 | ELSE |
|---|
| 1591 | zpert = MAX( 2.0 * ( 1.0 + 0.0 * 2.0 * zvstr(ji,jj) * rn_rdt / hbl(ji,jj) ) * zvstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) ) |
|---|
| 1592 | ENDIF |
|---|
| 1593 | zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln) |
|---|
| 1594 | ENDIF |
|---|
| 1595 | END DO |
|---|
| 1596 | END DO |
|---|
| 1597 | END SUBROUTINE zdf_osm_calculate_dhdt |
|---|
| 1598 | |
|---|
| 1599 | SUBROUTINE zdf_osm_timestep_hbl( zdhdt, zdhdt_2 ) |
|---|
| 1600 | !!--------------------------------------------------------------------- |
|---|
| 1601 | !! *** ROUTINE zdf_osm_timestep_hbl *** |
|---|
| 1602 | !! |
|---|
| 1603 | !! ** Purpose : Increments hbl. |
|---|
| 1604 | !! |
|---|
| 1605 | !! ** Method : If thechange in hbl exceeds one model level the change is |
|---|
| 1606 | !! is calculated by moving down the grid, changing the buoyancy |
|---|
| 1607 | !! jump. This is to ensure that the change in hbl does not |
|---|
| 1608 | !! overshoot a stable layer. |
|---|
| 1609 | !! |
|---|
| 1610 | !!---------------------------------------------------------------------- |
|---|
| 1611 | |
|---|
| 1612 | |
|---|
| 1613 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt, zdhdt_2 ! rates of change of hbl. |
|---|
| 1614 | |
|---|
| 1615 | INTEGER :: jk, jj, ji, jm |
|---|
| 1616 | REAL(wp) :: zhbl_s, zvel_max, zdb |
|---|
| 1617 | REAL(wp) :: zthermal, zbeta |
|---|
| 1618 | |
|---|
| 1619 | DO jj = 2, jpjm1 |
|---|
| 1620 | DO ji = 2, jpim1 |
|---|
| 1621 | IF ( ibld(ji,jj) - imld(ji,jj) > 1 ) THEN |
|---|
| 1622 | ! |
|---|
| 1623 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
|---|
| 1624 | ! |
|---|
| 1625 | zhbl_s = hbl(ji,jj) |
|---|
| 1626 | jm = imld(ji,jj) |
|---|
| 1627 | zthermal = rab_n(ji,jj,1,jp_tem) |
|---|
| 1628 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 1629 | |
|---|
| 1630 | |
|---|
| 1631 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1632 | !unstable |
|---|
| 1633 | |
|---|
| 1634 | IF( ln_osm_mle ) THEN |
|---|
| 1635 | zvel_max = ( zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
|---|
| 1636 | ELSE |
|---|
| 1637 | |
|---|
| 1638 | zvel_max = -( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_rdt / hbl(ji,jj) ) * zwb_ent(ji,jj) / & |
|---|
| 1639 | & ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 1640 | |
|---|
| 1641 | ENDIF |
|---|
| 1642 | |
|---|
| 1643 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 1644 | zdb = MAX( grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) ) & |
|---|
| 1645 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ), & |
|---|
| 1646 | & 0.0 ) + zvel_max |
|---|
| 1647 | |
|---|
| 1648 | |
|---|
| 1649 | IF ( ln_osm_mle ) THEN |
|---|
| 1650 | zhbl_s = zhbl_s + MIN( & |
|---|
| 1651 | & rn_rdt * ( ( -zwb_ent(ji,jj) - 2.0 * zwb_fk_b(ji,jj) )/ zdb + zdhdt_2(ji,jj) ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
|---|
| 1652 | & e3w_n(ji,jj,jm) ) |
|---|
| 1653 | ELSE |
|---|
| 1654 | zhbl_s = zhbl_s + MIN( & |
|---|
| 1655 | & rn_rdt * ( -zwb_ent(ji,jj) / zdb + zdhdt_2(ji,jj) ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
|---|
| 1656 | & e3w_n(ji,jj,jm) ) |
|---|
| 1657 | ENDIF |
|---|
| 1658 | |
|---|
| 1659 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
|---|
| 1660 | |
|---|
| 1661 | IF ( zhbl_s >= gdepw_n(ji,jj,jm+1) ) jm = jm + 1 |
|---|
| 1662 | END DO |
|---|
| 1663 | hbl(ji,jj) = zhbl_s |
|---|
| 1664 | ibld(ji,jj) = jm |
|---|
| 1665 | ELSE |
|---|
| 1666 | ! stable |
|---|
| 1667 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 1668 | zdb = MAX( & |
|---|
| 1669 | & grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) )& |
|---|
| 1670 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ),& |
|---|
| 1671 | & 0.0 ) + & |
|---|
| 1672 | & 2.0 * zvstr(ji,jj)**2 / zhbl_s |
|---|
| 1673 | |
|---|
| 1674 | ! Alan is thuis right? I have simply changed hbli to hbl |
|---|
| 1675 | zhol(ji,jj) = -zhbl_s / ( ( zvstr(ji,jj)**3 + epsln )/ zwbav(ji,jj) ) |
|---|
| 1676 | zdhdt(ji,jj) = -( zwbav(ji,jj) - 0.04 / 2.0 * zwstrl(ji,jj)**3 / zhbl_s - 0.15 / 2.0 * ( 1.0 - EXP( -1.5 * zla(ji,jj) ) ) * & |
|---|
| 1677 | & zustar(ji,jj)**3 / zhbl_s ) * ( 0.725 + 0.225 * EXP( -7.5 * zhol(ji,jj) ) ) |
|---|
| 1678 | zdhdt(ji,jj) = zdhdt(ji,jj) + zwbav(ji,jj) |
|---|
| 1679 | zhbl_s = zhbl_s + MIN( zdhdt(ji,jj) / zdb * rn_rdt / FLOAT( ibld(ji,jj) - imld(ji,jj) ), e3w_n(ji,jj,jm) ) |
|---|
| 1680 | |
|---|
| 1681 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
|---|
| 1682 | IF ( zhbl_s >= gdepw_n(ji,jj,jm) ) jm = jm + 1 |
|---|
| 1683 | END DO |
|---|
| 1684 | ENDIF ! IF ( lconv ) |
|---|
| 1685 | hbl(ji,jj) = MAX(zhbl_s, gdepw_n(ji,jj,4) ) |
|---|
| 1686 | ibld(ji,jj) = MAX(jm, 4 ) |
|---|
| 1687 | ELSE |
|---|
| 1688 | ! change zero or one model level. |
|---|
| 1689 | hbl(ji,jj) = MAX(zhbl_t(ji,jj), gdepw_n(ji,jj,4) ) |
|---|
| 1690 | ENDIF |
|---|
| 1691 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
|---|
| 1692 | END DO |
|---|
| 1693 | END DO |
|---|
| 1694 | |
|---|
| 1695 | END SUBROUTINE zdf_osm_timestep_hbl |
|---|
| 1696 | |
|---|
| 1697 | SUBROUTINE zdf_osm_pycnocline_thickness( dh, zdh ) |
|---|
| 1698 | !!--------------------------------------------------------------------- |
|---|
| 1699 | !! *** ROUTINE zdf_osm_pycnocline_thickness *** |
|---|
| 1700 | !! |
|---|
| 1701 | !! ** Purpose : Calculates thickness of the pycnocline |
|---|
| 1702 | !! |
|---|
| 1703 | !! ** Method : The thickness is calculated from a prognostic equation |
|---|
| 1704 | !! that relaxes the pycnocine thickness to a diagnostic |
|---|
| 1705 | !! value. The time change is calculated assuming the |
|---|
| 1706 | !! thickness relaxes exponentially. This is done to deal |
|---|
| 1707 | !! with large timesteps. |
|---|
| 1708 | !! |
|---|
| 1709 | !!---------------------------------------------------------------------- |
|---|
| 1710 | |
|---|
| 1711 | REAL(wp), DIMENSION(jpi,jpj) :: dh, zdh ! pycnocline thickness. |
|---|
| 1712 | ! |
|---|
| 1713 | INTEGER :: jj, ji |
|---|
| 1714 | INTEGER :: inhml |
|---|
| 1715 | REAL(wp) :: zari, ztau, zddhdt |
|---|
| 1716 | |
|---|
| 1717 | |
|---|
| 1718 | DO jj = 2, jpjm1 |
|---|
| 1719 | DO ji = 2, jpim1 |
|---|
| 1720 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1721 | |
|---|
| 1722 | IF( ln_osm_mle ) THEN |
|---|
| 1723 | IF ( ( zwb_ent(ji,jj) + zwb_fk_b(ji,jj) ) < 0._wp ) THEN |
|---|
| 1724 | ! OSBL is deepening. Note wb_fk_b is zero if ln_osm_mle=F |
|---|
| 1725 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_ext(ji,jj) > 0._wp)THEN |
|---|
| 1726 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
|---|
| 1727 | zari = MIN( 1.5 * ( zdb_bl(ji,jj) / ( zdbdz_ext(ji,jj) * zhbl(ji,jj) ) ) / & |
|---|
| 1728 | (1.0 + zdb_bl(ji,jj)**2 / MAX( 4.5 * zvstr(ji,jj)**2 * zdbdz_ext(ji,jj), epsln ) ), 0.2 ) |
|---|
| 1729 | ELSE ! unstable |
|---|
| 1730 | zari = MIN( 1.5 * ( zdb_bl(ji,jj) / ( zdbdz_ext(ji,jj) * zhbl(ji,jj) ) ) / & |
|---|
| 1731 | (1.0 + zdb_bl(ji,jj)**2 / ( 4.5 * zwstrc(ji,jj)**2 * zdbdz_ext(ji,jj) ) ), 0.2 ) |
|---|
| 1732 | ENDIF |
|---|
| 1733 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 1734 | zddhdt = zari * hbl(ji,jj) |
|---|
| 1735 | ELSE |
|---|
| 1736 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 1737 | zddhdt = 0.2 * hbl(ji,jj) |
|---|
| 1738 | ENDIF |
|---|
| 1739 | ELSE |
|---|
| 1740 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 1741 | zddhdt = 0.2 * hbl(ji,jj) |
|---|
| 1742 | ENDIF |
|---|
| 1743 | ELSE ! ln_osm_mle |
|---|
| 1744 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_ext(ji,jj) > 0._wp)THEN |
|---|
| 1745 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
|---|
| 1746 | zari = MIN( 1.5 * ( zdb_bl(ji,jj) / MAX( zdbdz_ext(ji,jj) * zhbl(ji,jj), epsln ) ) / & |
|---|
| 1747 | (1.0 + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 * zdbdz_ext(ji,jj), epsln ) ), 0.2 ) |
|---|
| 1748 | ELSE ! unstable |
|---|
| 1749 | zari = MIN( 1.5 * ( zdb_bl(ji,jj) / MAX( zdbdz_ext(ji,jj) * zhbl(ji,jj), epsln ) ) / & |
|---|
| 1750 | (1.0 + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 * zdbdz_ext(ji,jj), epsln ) ), 0.2 ) |
|---|
| 1751 | ENDIF |
|---|
| 1752 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 1753 | zddhdt = zari * hbl(ji,jj) |
|---|
| 1754 | ELSE |
|---|
| 1755 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 1756 | zddhdt = 0.2 * hbl(ji,jj) |
|---|
| 1757 | ENDIF |
|---|
| 1758 | |
|---|
| 1759 | END IF ! ln_osm_mle |
|---|
| 1760 | |
|---|
| 1761 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zddhdt * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
|---|
| 1762 | ! Alan: this hml is never defined or used |
|---|
| 1763 | ELSE ! IF (lconv) |
|---|
| 1764 | ztau = hbl(ji,jj) / MAX(zvstr(ji,jj), epsln) |
|---|
| 1765 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
|---|
| 1766 | ! boundary layer deepening |
|---|
| 1767 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 1768 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
|---|
| 1769 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
|---|
| 1770 | & / MAX(zdb_bl(ji,jj) * zhbl(ji,jj), epsln ) + 0.01 , 0.2 ) |
|---|
| 1771 | zddhdt = MIN( zari, 0.2 ) * hbl(ji,jj) |
|---|
| 1772 | ELSE |
|---|
| 1773 | zddhdt = 0.2 * hbl(ji,jj) |
|---|
| 1774 | ENDIF |
|---|
| 1775 | ELSE ! IF(dhdt < 0) |
|---|
| 1776 | zddhdt = 0.2 * hbl(ji,jj) |
|---|
| 1777 | ENDIF ! IF (dhdt >= 0) |
|---|
| 1778 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau )+ zddhdt * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
|---|
| 1779 | IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zddhdt ! can be a problem with dh>hbl for rapid collapse |
|---|
| 1780 | ! Alan: this hml is never defined or used -- do we need it? |
|---|
| 1781 | ENDIF ! IF (lconv) |
|---|
| 1782 | |
|---|
| 1783 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
|---|
| 1784 | inhml = MAX( INT( dh(ji,jj) / e3t_n(ji,jj,ibld(ji,jj)) ) , 1 ) |
|---|
| 1785 | imld(ji,jj) = MAX( ibld(ji,jj) - inhml, 3) |
|---|
| 1786 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
|---|
| 1787 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
|---|
| 1788 | END DO |
|---|
| 1789 | END DO |
|---|
| 1790 | |
|---|
| 1791 | END SUBROUTINE zdf_osm_pycnocline_thickness |
|---|
| 1792 | |
|---|
| 1793 | |
|---|
| 1794 | SUBROUTINE zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle ) |
|---|
| 1795 | !!---------------------------------------------------------------------- |
|---|
| 1796 | !! *** ROUTINE zdf_osm_horizontal_gradients *** |
|---|
| 1797 | !! |
|---|
| 1798 | !! ** Purpose : Calculates horizontal gradients of buoyancy for use with Fox-Kemper parametrization. |
|---|
| 1799 | !! |
|---|
| 1800 | !! ** Method : |
|---|
| 1801 | !! |
|---|
| 1802 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
|---|
| 1803 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
|---|
| 1804 | |
|---|
| 1805 | |
|---|
| 1806 | REAL(wp), DIMENSION(jpi,jpj) :: dbdx_mle, dbdy_mle ! MLE horiz gradients at u & v points |
|---|
| 1807 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! == estimated FK BLD used for MLE horiz gradients == ! |
|---|
| 1808 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy |
|---|
| 1809 | |
|---|
| 1810 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 1811 | INTEGER :: ii, ij, ik, ikmax ! local integers |
|---|
| 1812 | REAL(wp) :: zc |
|---|
| 1813 | REAL(wp) :: zN2_c ! local buoyancy difference from 10m value |
|---|
| 1814 | REAL(wp), DIMENSION(jpi,jpj) :: ztm, zsm, zLf_NH, zLf_MH |
|---|
| 1815 | REAL(wp), DIMENSION(jpi,jpj,jpts):: ztsm_midu, ztsm_midv, zabu, zabv |
|---|
| 1816 | REAL(wp), DIMENSION(jpi,jpj) :: zmld_midu, zmld_midv |
|---|
| 1817 | !!---------------------------------------------------------------------- |
|---|
| 1818 | ! |
|---|
| 1819 | ! !== MLD used for MLE ==! |
|---|
| 1820 | |
|---|
| 1821 | mld_prof(:,:) = nlb10 ! Initialization to the number of w ocean point |
|---|
| 1822 | zmld(:,:) = 0._wp ! here hmlp used as a dummy variable, integrating vertically N^2 |
|---|
| 1823 | zN2_c = grav * rn_osm_mle_rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
|---|
| 1824 | DO jk = nlb10, jpkm1 |
|---|
| 1825 | DO jj = 1, jpj ! Mixed layer level: w-level |
|---|
| 1826 | DO ji = 1, jpi |
|---|
| 1827 | ikt = mbkt(ji,jj) |
|---|
| 1828 | zmld(ji,jj) = zmld(ji,jj) + MAX( rn2b(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
|---|
| 1829 | IF( zmld(ji,jj) < zN2_c ) mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
|---|
| 1830 | END DO |
|---|
| 1831 | END DO |
|---|
| 1832 | END DO |
|---|
| 1833 | DO jj = 1, jpj |
|---|
| 1834 | DO ji = 1, jpi |
|---|
| 1835 | mld_prof(ji,jj) = MAX(mld_prof(ji,jj),ibld(ji,jj)) |
|---|
| 1836 | zmld(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
|---|
| 1837 | END DO |
|---|
| 1838 | END DO |
|---|
| 1839 | ! ensure mld_prof .ge. ibld |
|---|
| 1840 | ! |
|---|
| 1841 | ikmax = MIN( MAXVAL( mld_prof(:,:) ), jpkm1 ) ! max level of the computation |
|---|
| 1842 | ! |
|---|
| 1843 | ztm(:,:) = 0._wp |
|---|
| 1844 | zsm(:,:) = 0._wp |
|---|
| 1845 | DO jk = 1, ikmax ! MLD and mean buoyancy and N2 over the mixed layer |
|---|
| 1846 | DO jj = 1, jpj |
|---|
| 1847 | DO ji = 1, jpi |
|---|
| 1848 | zc = e3t_n(ji,jj,jk) * REAL( MIN( MAX( 0, mld_prof(ji,jj)-jk ) , 1 ) ) ! zc being 0 outside the ML t-points |
|---|
| 1849 | ztm(ji,jj) = ztm(ji,jj) + zc * tsn(ji,jj,jk,jp_tem) |
|---|
| 1850 | zsm(ji,jj) = zsm(ji,jj) + zc * tsn(ji,jj,jk,jp_sal) |
|---|
| 1851 | END DO |
|---|
| 1852 | END DO |
|---|
| 1853 | END DO |
|---|
| 1854 | ! average temperature and salinity. |
|---|
| 1855 | ztm(:,:) = ztm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
|---|
| 1856 | zsm(:,:) = zsm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
|---|
| 1857 | ! calculate horizontal gradients at u & v points |
|---|
| 1858 | |
|---|
| 1859 | DO jj = 2, jpjm1 |
|---|
| 1860 | DO ji = 1, jpim1 |
|---|
| 1861 | zdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
|---|
| 1862 | zdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
|---|
| 1863 | zmld_midu(ji,jj) = 0.25_wp * (zmld(ji+1,jj) + zmld( ji,jj)) |
|---|
| 1864 | ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji+1,jj) + ztm( ji,jj) ) |
|---|
| 1865 | ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji+1,jj) + zsm( ji,jj) ) |
|---|
| 1866 | END DO |
|---|
| 1867 | END DO |
|---|
| 1868 | |
|---|
| 1869 | DO jj = 1, jpjm1 |
|---|
| 1870 | DO ji = 2, jpim1 |
|---|
| 1871 | zdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
|---|
| 1872 | zdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
|---|
| 1873 | zmld_midv(ji,jj) = 0.25_wp * (zmld(ji,jj+1) + zmld( ji,jj)) |
|---|
| 1874 | ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji,jj+1) + ztm( ji,jj) ) |
|---|
| 1875 | ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji,jj+1) + zsm( ji,jj) ) |
|---|
| 1876 | END DO |
|---|
| 1877 | END DO |
|---|
| 1878 | |
|---|
| 1879 | CALL eos_rab(ztsm_midu, zmld_midu, zabu) |
|---|
| 1880 | CALL eos_rab(ztsm_midv, zmld_midv, zabv) |
|---|
| 1881 | |
|---|
| 1882 | DO jj = 2, jpjm1 |
|---|
| 1883 | DO ji = 1, jpim1 |
|---|
| 1884 | dbdx_mle(ji,jj) = grav*(zdtdx(ji,jj)*zabu(ji,jj,jp_tem) - zdsdx(ji,jj)*zabu(ji,jj,jp_sal)) |
|---|
| 1885 | END DO |
|---|
| 1886 | END DO |
|---|
| 1887 | DO jj = 1, jpjm1 |
|---|
| 1888 | DO ji = 2, jpim1 |
|---|
| 1889 | dbdy_mle(ji,jj) = grav*(zdtdy(ji,jj)*zabv(ji,jj,jp_tem) - zdsdy(ji,jj)*zabv(ji,jj,jp_sal)) |
|---|
| 1890 | END DO |
|---|
| 1891 | END DO |
|---|
| 1892 | |
|---|
| 1893 | END SUBROUTINE zdf_osm_zmld_horizontal_gradients |
|---|
| 1894 | SUBROUTINE zdf_osm_mle_parameters( hmle, zwb_fk, zvel_mle, zdiff_mle ) |
|---|
| 1895 | !!---------------------------------------------------------------------- |
|---|
| 1896 | !! *** ROUTINE zdf_osm_mle_parameters *** |
|---|
| 1897 | !! |
|---|
| 1898 | !! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates the mixed layer eddy fluxes for buoyancy, heat and salinity. |
|---|
| 1899 | !! |
|---|
| 1900 | !! ** Method : |
|---|
| 1901 | !! |
|---|
| 1902 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
|---|
| 1903 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
|---|
| 1904 | |
|---|
| 1905 | REAL(wp), DIMENSION(jpi,jpj) :: hmle, zwb_fk, zvel_mle, zdiff_mle |
|---|
| 1906 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 1907 | INTEGER :: ii, ij, ik ! local integers |
|---|
| 1908 | INTEGER , DIMENSION(jpi,jpj) :: inml_mle |
|---|
| 1909 | REAL(wp) :: zdb_mle, ztmp, zdbds_mle |
|---|
| 1910 | |
|---|
| 1911 | mld_prof(:,:) = 4 |
|---|
| 1912 | DO jk = 5, jpkm1 |
|---|
| 1913 | DO jj = 2, jpjm1 |
|---|
| 1914 | DO ji = 2, jpim1 |
|---|
| 1915 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
|---|
| 1916 | END DO |
|---|
| 1917 | END DO |
|---|
| 1918 | END DO |
|---|
| 1919 | ! DO jj = 2, jpjm1 |
|---|
| 1920 | ! DO ji = 1, jpim1 |
|---|
| 1921 | ! zhmle(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
|---|
| 1922 | ! END DO |
|---|
| 1923 | ! END DO |
|---|
| 1924 | ! Timestep mixed layer eddy depth. |
|---|
| 1925 | DO jj = 2, jpjm1 |
|---|
| 1926 | DO ji = 2, jpim1 |
|---|
| 1927 | zdb_mle = grav * (rhop(ji,jj,mld_prof(ji,jj)) - rhop(ji,jj,ibld(ji,jj) )) * r1_rau0 ! check ALMG |
|---|
| 1928 | IF ( lconv(ji,jj) .and. ( zdb_bl(ji,jj) < rn_osm_mle_thresh .and. mld_prof(ji,jj) > ibld(ji,jj) .and. zdb_mle > 0.0 ) ) THEN |
|---|
| 1929 | hmle(ji,jj) = hmle(ji,jj) + zwb0(ji,jj) * rn_rdt / MAX( zdb_mle, rn_osm_mle_thresh ) ! MLE layer deepening through encroachment. Don't have a good maximum value for deepening, so use threshold buoyancy. |
|---|
| 1930 | ELSE |
|---|
| 1931 | ! MLE layer relaxes towards mixed layer depth on timescale tau_mle, or tau_mle/10 |
|---|
| 1932 | ! IF ( hmle(ji,jj) > zmld(ji,jj) ) THEN |
|---|
| 1933 | ! hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - zmld(ji,jj) ) * rn_rdt / rn_osm_mle_tau |
|---|
| 1934 | ! ELSE |
|---|
| 1935 | ! hmle(ji,jj) = hmle(ji,jj) - 10.0 * ( hmle(ji,jj) - zmld(ji,jj) ) * rn_rdt / rn_osm_mle_tau ! fast relaxation if MLE layer shallower than MLD |
|---|
| 1936 | ! ENDIF |
|---|
| 1937 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
|---|
| 1938 | hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt / rn_osm_mle_tau |
|---|
| 1939 | ELSE |
|---|
| 1940 | hmle(ji,jj) = hmle(ji,jj) - 10.0 * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt / rn_osm_mle_tau ! fast relaxation if MLE layer shallower than MLD |
|---|
| 1941 | ENDIF |
|---|
| 1942 | ENDIF |
|---|
| 1943 | hmle(ji,jj) = MIN(hmle(ji,jj), ht_n(ji,jj)) |
|---|
| 1944 | IF(ln_osm_hmle_limit) hmle(ji,jj) = MIN(hmle(ji,jj), rn_osm_hmle_limit*zmld(ji,jj)) |
|---|
| 1945 | END DO |
|---|
| 1946 | END DO |
|---|
| 1947 | |
|---|
| 1948 | mld_prof = 4 |
|---|
| 1949 | DO jk = 5, jpkm1 |
|---|
| 1950 | DO jj = 2, jpjm1 |
|---|
| 1951 | DO ji = 2, jpim1 |
|---|
| 1952 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
|---|
| 1953 | END DO |
|---|
| 1954 | END DO |
|---|
| 1955 | END DO |
|---|
| 1956 | DO jj = 2, jpjm1 |
|---|
| 1957 | DO ji = 2, jpim1 |
|---|
| 1958 | zhmle(ji,jj) = gdepw_n(ji,jj, mld_prof(ji,jj)) |
|---|
| 1959 | END DO |
|---|
| 1960 | END DO |
|---|
| 1961 | ! Calculate vertical buoyancy, heat and salinity fluxes due to MLE. |
|---|
| 1962 | |
|---|
| 1963 | DO jj = 2, jpjm1 |
|---|
| 1964 | DO ji = 2, jpim1 |
|---|
| 1965 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1966 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
|---|
| 1967 | ! zwt_fk(ji,jj) = 0.5_wp * ztmp * ( dbdx_mle(ji,jj) * zdtdx(ji,jj) + dbdy_mle(ji,jj) * zdtdy(ji,jj) & |
|---|
| 1968 | ! & + dbdx_mle(ji-1,jj) * zdtdx(ji-1,jj) + dbdy_mle(ji,jj-1) * zdtdy(ji,jj-1) ) |
|---|
| 1969 | ! zws_fk(ji,jj) = 0.5_wp * ztmp * ( dbdx_mle(ji,jj) * zdsdx(ji,jj) + dbdy_mle(ji,jj) * zdsdy(ji,jj) & |
|---|
| 1970 | ! & + dbdx_mle(ji-1,jj) * zdsdx(ji-1,jj) + dbdy_mle(ji,jj-1) * zdsdy(ji,jj-1) ) |
|---|
| 1971 | zdbds_mle = SQRT( 0.5_wp * ( dbdx_mle(ji,jj) * dbdx_mle(ji,jj) + dbdy_mle(ji,jj) * dbdy_mle(ji,jj) & |
|---|
| 1972 | & + dbdx_mle(ji-1,jj) * dbdx_mle(ji-1,jj) + dbdy_mle(ji,jj-1) * dbdy_mle(ji,jj-1) ) ) |
|---|
| 1973 | zwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) *ztmp * zdbds_mle * zdbds_mle |
|---|
| 1974 | ! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt. |
|---|
| 1975 | zvel_mle(ji,jj) = zdbds_mle * ztmp * hmle(ji,jj) * tmask(ji,jj,1) |
|---|
| 1976 | zdiff_mle(ji,jj) = 1.e-4_wp * ztmp * zdbds_mle * zhmle(ji,jj)**3 / rn_osm_mle_lf |
|---|
| 1977 | ENDIF |
|---|
| 1978 | END DO |
|---|
| 1979 | END DO |
|---|
| 1980 | END SUBROUTINE zdf_osm_mle_parameters |
|---|
| 1981 | |
|---|
| 1982 | END SUBROUTINE zdf_osm |
|---|
| 1983 | |
|---|
| 1984 | |
|---|
| 1985 | SUBROUTINE zdf_osm_init |
|---|
| 1986 | !!---------------------------------------------------------------------- |
|---|
| 1987 | !! *** ROUTINE zdf_osm_init *** |
|---|
| 1988 | !! |
|---|
| 1989 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
|---|
| 1990 | !! viscosity when using a osm turbulent closure scheme |
|---|
| 1991 | !! |
|---|
| 1992 | !! ** Method : Read the namosm namelist and check the parameters |
|---|
| 1993 | !! called at the first timestep (nit000) |
|---|
| 1994 | !! |
|---|
| 1995 | !! ** input : Namlist namosm |
|---|
| 1996 | !!---------------------------------------------------------------------- |
|---|
| 1997 | INTEGER :: ios ! local integer |
|---|
| 1998 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 1999 | REAL z1_t2 |
|---|
| 2000 | !! |
|---|
| 2001 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave & |
|---|
| 2002 | & ,nn_osm_wave, ln_dia_osm, rn_osm_hbl0 & |
|---|
| 2003 | & ,ln_kpprimix, rn_riinfty, rn_difri, ln_convmix, rn_difconv, nn_osm_wave & |
|---|
| 2004 | & ,ln_osm_mle |
|---|
| 2005 | ! Namelist for Fox-Kemper parametrization. |
|---|
| 2006 | NAMELIST/namosm_mle/ nn_osm_mle, rn_osm_mle_ce, rn_osm_mle_lf, rn_osm_mle_time, rn_osm_mle_lat,& |
|---|
| 2007 | & rn_osm_mle_rho_c, rn_osm_mle_thresh, rn_osm_mle_tau, ln_osm_hmle_limit, rn_osm_hmle_limit |
|---|
| 2008 | |
|---|
| 2009 | !!---------------------------------------------------------------------- |
|---|
| 2010 | ! |
|---|
| 2011 | REWIND( numnam_ref ) ! Namelist namzdf_osm in reference namelist : Osmosis ML model |
|---|
| 2012 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
|---|
| 2013 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
|---|
| 2014 | |
|---|
| 2015 | REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy |
|---|
| 2016 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
|---|
| 2017 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
|---|
| 2018 | IF(lwm) WRITE ( numond, namzdf_osm ) |
|---|
| 2019 | |
|---|
| 2020 | IF(lwp) THEN ! Control print |
|---|
| 2021 | WRITE(numout,*) |
|---|
| 2022 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
|---|
| 2023 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 2024 | WRITE(numout,*) ' Namelist namzdf_osm : set osm mixing parameters' |
|---|
| 2025 | WRITE(numout,*) ' Use rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
|---|
| 2026 | WRITE(numout,*) ' Use MLE in OBL, i.e. Fox-Kemper param ln_osm_mle = ', ln_osm_mle |
|---|
| 2027 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
|---|
| 2028 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
|---|
| 2029 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
|---|
| 2030 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
|---|
| 2031 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
|---|
| 2032 | SELECT CASE (nn_osm_wave) |
|---|
| 2033 | CASE(0) |
|---|
| 2034 | WRITE(numout,*) ' calculated assuming constant La#=0.3' |
|---|
| 2035 | CASE(1) |
|---|
| 2036 | WRITE(numout,*) ' calculated from Pierson Moskowitz wind-waves' |
|---|
| 2037 | CASE(2) |
|---|
| 2038 | WRITE(numout,*) ' calculated from ECMWF wave fields' |
|---|
| 2039 | END SELECT |
|---|
| 2040 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
|---|
| 2041 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
|---|
| 2042 | WRITE(numout,*) ' local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
|---|
| 2043 | WRITE(numout,*) ' maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
|---|
| 2044 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
|---|
| 2045 | WRITE(numout,*) ' diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
|---|
| 2046 | ENDIF |
|---|
| 2047 | |
|---|
| 2048 | ! ! allocate zdfosm arrays |
|---|
| 2049 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
|---|
| 2050 | |
|---|
| 2051 | |
|---|
| 2052 | IF( ln_osm_mle ) THEN |
|---|
| 2053 | ! Initialise Fox-Kemper parametrization |
|---|
| 2054 | REWIND( numnam_ref ) ! Namelist namosm_mle in reference namelist : Tracer advection scheme |
|---|
| 2055 | READ ( numnam_ref, namosm_mle, IOSTAT = ios, ERR = 903) |
|---|
| 2056 | 903 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namosm_mle in reference namelist') |
|---|
| 2057 | |
|---|
| 2058 | REWIND( numnam_cfg ) ! Namelist namosm_mle in configuration namelist : Tracer advection scheme |
|---|
| 2059 | READ ( numnam_cfg, namosm_mle, IOSTAT = ios, ERR = 904 ) |
|---|
| 2060 | 904 IF( ios > 0 ) CALL ctl_nam ( ios , 'namosm_mle in configuration namelist') |
|---|
| 2061 | IF(lwm) WRITE ( numond, namosm_mle ) |
|---|
| 2062 | |
|---|
| 2063 | IF(lwp) THEN ! Namelist print |
|---|
| 2064 | WRITE(numout,*) |
|---|
| 2065 | WRITE(numout,*) 'zdf_osm_init : initialise mixed layer eddy (MLE)' |
|---|
| 2066 | WRITE(numout,*) '~~~~~~~~~~~~~' |
|---|
| 2067 | WRITE(numout,*) ' Namelist namosm_mle : ' |
|---|
| 2068 | WRITE(numout,*) ' MLE type: =0 standard Fox-Kemper ; =1 new formulation nn_osm_mle = ', nn_osm_mle |
|---|
| 2069 | WRITE(numout,*) ' magnitude of the MLE (typical value: 0.06 to 0.08) rn_osm_mle_ce = ', rn_osm_mle_ce |
|---|
| 2070 | WRITE(numout,*) ' scale of ML front (ML radius of deformation) (nn_osm_mle=0) rn_osm_mle_lf = ', rn_osm_mle_lf, 'm' |
|---|
| 2071 | WRITE(numout,*) ' maximum time scale of MLE (nn_osm_mle=0) rn_osm_mle_time = ', rn_osm_mle_time, 's' |
|---|
| 2072 | WRITE(numout,*) ' reference latitude (degrees) of MLE coef. (nn_osm_mle=1) rn_osm_mle_lat = ', rn_osm_mle_lat, 'deg' |
|---|
| 2073 | WRITE(numout,*) ' Density difference used to define ML for FK rn_osm_mle_rho_c = ', rn_osm_mle_rho_c |
|---|
| 2074 | WRITE(numout,*) ' Threshold used to define ML for FK rn_osm_mle_thresh = ', rn_osm_mle_thresh, 'm^2/s' |
|---|
| 2075 | WRITE(numout,*) ' Timescale for OSM-FK rn_osm_mle_tau = ', rn_osm_mle_tau, 's' |
|---|
| 2076 | WRITE(numout,*) ' switch to limit hmle ln_osm_hmle_limit = ', ln_osm_hmle_limit |
|---|
| 2077 | WRITE(numout,*) ' fraction of zmld to limit hmle to if ln_osm_hmle_limit =.T. rn_osm_hmle_limit = ', rn_osm_hmle_limit |
|---|
| 2078 | ENDIF ! |
|---|
| 2079 | ENDIF |
|---|
| 2080 | ! |
|---|
| 2081 | IF(lwp) THEN |
|---|
| 2082 | WRITE(numout,*) |
|---|
| 2083 | IF( ln_osm_mle ) THEN |
|---|
| 2084 | WRITE(numout,*) ' ==>>> Mixed Layer Eddy induced transport added to OSMOSIS BL calculation' |
|---|
| 2085 | IF( nn_osm_mle == 0 ) WRITE(numout,*) ' Fox-Kemper et al 2010 formulation' |
|---|
| 2086 | IF( nn_osm_mle == 1 ) WRITE(numout,*) ' New formulation' |
|---|
| 2087 | ELSE |
|---|
| 2088 | WRITE(numout,*) ' ==>>> Mixed Layer induced transport NOT added to OSMOSIS BL calculation' |
|---|
| 2089 | ENDIF |
|---|
| 2090 | ENDIF |
|---|
| 2091 | ! |
|---|
| 2092 | IF( ln_osm_mle ) THEN ! MLE initialisation |
|---|
| 2093 | ! |
|---|
| 2094 | rb_c = grav * rn_osm_mle_rho_c /rau0 ! Mixed Layer buoyancy criteria |
|---|
| 2095 | IF(lwp) WRITE(numout,*) |
|---|
| 2096 | IF(lwp) WRITE(numout,*) ' ML buoyancy criteria = ', rb_c, ' m/s2 ' |
|---|
| 2097 | IF(lwp) WRITE(numout,*) ' associated ML density criteria defined in zdfmxl = ', rn_osm_mle_rho_c, 'kg/m3' |
|---|
| 2098 | ! |
|---|
| 2099 | IF( nn_osm_mle == 0 ) THEN ! MLE array allocation & initialisation ! |
|---|
| 2100 | ! |
|---|
| 2101 | ELSEIF( nn_osm_mle == 1 ) THEN ! MLE array allocation & initialisation |
|---|
| 2102 | rc_f = rn_osm_mle_ce/ ( 5.e3_wp * 2._wp * omega * SIN( rad * rn_osm_mle_lat ) ) |
|---|
| 2103 | ! |
|---|
| 2104 | ENDIF |
|---|
| 2105 | ! ! 1/(f^2+tau^2)^1/2 at t-point (needed in both nn_osm_mle case) |
|---|
| 2106 | z1_t2 = 2.e-5 |
|---|
| 2107 | do jj=1,jpj |
|---|
| 2108 | do ji = 1,jpi |
|---|
| 2109 | r1_ft(ji,jj) = MIN(1./( ABS(ff_t(ji,jj)) + epsln ), ABS(ff_t(ji,jj))/z1_t2**2) |
|---|
| 2110 | end do |
|---|
| 2111 | end do |
|---|
| 2112 | ! z1_t2 = 1._wp / ( rn_osm_mle_time * rn_osm_mle_timeji,jj ) |
|---|
| 2113 | ! r1_ft(:,:) = 1._wp / SQRT( ff_t(:,:) * ff_t(:,:) + z1_t2 ) |
|---|
| 2114 | ! |
|---|
| 2115 | ENDIF |
|---|
| 2116 | |
|---|
| 2117 | call osm_rst( nit000, 'READ' ) !* read or initialize hbl, dh, hmle |
|---|
| 2118 | |
|---|
| 2119 | |
|---|
| 2120 | IF( ln_zdfddm) THEN |
|---|
| 2121 | IF(lwp) THEN |
|---|
| 2122 | WRITE(numout,*) |
|---|
| 2123 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
|---|
| 2124 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
|---|
| 2125 | ENDIF |
|---|
| 2126 | ENDIF |
|---|
| 2127 | |
|---|
| 2128 | |
|---|
| 2129 | !set constants not in namelist |
|---|
| 2130 | !----------------------------- |
|---|
| 2131 | |
|---|
| 2132 | IF(lwp) THEN |
|---|
| 2133 | WRITE(numout,*) |
|---|
| 2134 | ENDIF |
|---|
| 2135 | |
|---|
| 2136 | IF (nn_osm_wave == 0) THEN |
|---|
| 2137 | dstokes(:,:) = rn_osm_dstokes |
|---|
| 2138 | END IF |
|---|
| 2139 | |
|---|
| 2140 | ! Horizontal average : initialization of weighting arrays |
|---|
| 2141 | ! ------------------- |
|---|
| 2142 | |
|---|
| 2143 | SELECT CASE ( nn_ave ) |
|---|
| 2144 | |
|---|
| 2145 | CASE ( 0 ) ! no horizontal average |
|---|
| 2146 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
|---|
| 2147 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
|---|
| 2148 | ! weighting mean arrays etmean |
|---|
| 2149 | ! ( 1 1 ) |
|---|
| 2150 | ! avt = 1/4 ( 1 1 ) |
|---|
| 2151 | ! |
|---|
| 2152 | etmean(:,:,:) = 0.e0 |
|---|
| 2153 | |
|---|
| 2154 | DO jk = 1, jpkm1 |
|---|
| 2155 | DO jj = 2, jpjm1 |
|---|
| 2156 | DO ji = 2, jpim1 ! vector opt. |
|---|
| 2157 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
|---|
| 2158 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
|---|
| 2159 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
|---|
| 2160 | END DO |
|---|
| 2161 | END DO |
|---|
| 2162 | END DO |
|---|
| 2163 | |
|---|
| 2164 | CASE ( 1 ) ! horizontal average |
|---|
| 2165 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
|---|
| 2166 | ! weighting mean arrays etmean |
|---|
| 2167 | ! ( 1/2 1 1/2 ) |
|---|
| 2168 | ! avt = 1/8 ( 1 2 1 ) |
|---|
| 2169 | ! ( 1/2 1 1/2 ) |
|---|
| 2170 | etmean(:,:,:) = 0.e0 |
|---|
| 2171 | |
|---|
| 2172 | DO jk = 1, jpkm1 |
|---|
| 2173 | DO jj = 2, jpjm1 |
|---|
| 2174 | DO ji = 2, jpim1 ! vector opt. |
|---|
| 2175 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
|---|
| 2176 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
|---|
| 2177 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
|---|
| 2178 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
|---|
| 2179 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
|---|
| 2180 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
|---|
| 2181 | END DO |
|---|
| 2182 | END DO |
|---|
| 2183 | END DO |
|---|
| 2184 | |
|---|
| 2185 | CASE DEFAULT |
|---|
| 2186 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
|---|
| 2187 | CALL ctl_stop( ctmp1 ) |
|---|
| 2188 | |
|---|
| 2189 | END SELECT |
|---|
| 2190 | |
|---|
| 2191 | ! Initialization of vertical eddy coef. to the background value |
|---|
| 2192 | ! ------------------------------------------------------------- |
|---|
| 2193 | DO jk = 1, jpk |
|---|
| 2194 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
|---|
| 2195 | END DO |
|---|
| 2196 | |
|---|
| 2197 | ! zero the surface flux for non local term and osm mixed layer depth |
|---|
| 2198 | ! ------------------------------------------------------------------ |
|---|
| 2199 | ghamt(:,:,:) = 0. |
|---|
| 2200 | ghams(:,:,:) = 0. |
|---|
| 2201 | ghamu(:,:,:) = 0. |
|---|
| 2202 | ghamv(:,:,:) = 0. |
|---|
| 2203 | ! |
|---|
| 2204 | IF( lwxios ) THEN |
|---|
| 2205 | CALL iom_set_rstw_var_active('wn') |
|---|
| 2206 | CALL iom_set_rstw_var_active('hbl') |
|---|
| 2207 | CALL iom_set_rstw_var_active('dh') |
|---|
| 2208 | IF( ln_osm_mle ) THEN |
|---|
| 2209 | CALL iom_set_rstw_var_active('hmle') |
|---|
| 2210 | END IF |
|---|
| 2211 | ENDIF |
|---|
| 2212 | END SUBROUTINE zdf_osm_init |
|---|
| 2213 | |
|---|
| 2214 | |
|---|
| 2215 | SUBROUTINE osm_rst( kt, cdrw ) |
|---|
| 2216 | !!--------------------------------------------------------------------- |
|---|
| 2217 | !! *** ROUTINE osm_rst *** |
|---|
| 2218 | !! |
|---|
| 2219 | !! ** Purpose : Read or write BL fields in restart file |
|---|
| 2220 | !! |
|---|
| 2221 | !! ** Method : use of IOM library. If the restart does not contain |
|---|
| 2222 | !! required fields, they are recomputed from stratification |
|---|
| 2223 | !!---------------------------------------------------------------------- |
|---|
| 2224 | |
|---|
| 2225 | INTEGER, INTENT(in) :: kt |
|---|
| 2226 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 2227 | |
|---|
| 2228 | INTEGER :: id1, id2, id3 ! iom enquiry index |
|---|
| 2229 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 2230 | INTEGER :: iiki, ikt ! local integer |
|---|
| 2231 | REAL(wp) :: zhbf ! tempory scalars |
|---|
| 2232 | REAL(wp) :: zN2_c ! local scalar |
|---|
| 2233 | REAL(wp) :: rho_c = 0.01_wp !: density criterion for mixed layer depth |
|---|
| 2234 | INTEGER, DIMENSION(jpi,jpj) :: imld_rst ! level of mixed-layer depth (pycnocline top) |
|---|
| 2235 | !!---------------------------------------------------------------------- |
|---|
| 2236 | ! |
|---|
| 2237 | !!----------------------------------------------------------------------------- |
|---|
| 2238 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
|---|
| 2239 | !!----------------------------------------------------------------------------- |
|---|
| 2240 | IF( TRIM(cdrw) == 'READ'.AND. ln_rstart) THEN |
|---|
| 2241 | id1 = iom_varid( numror, 'wn' , ldstop = .FALSE. ) |
|---|
| 2242 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
|---|
| 2243 | CALL iom_get( numror, jpdom_autoglo, 'wn', wn, ldxios = lrxios ) |
|---|
| 2244 | WRITE(numout,*) ' ===>>>> : wn read from restart file' |
|---|
| 2245 | ELSE |
|---|
| 2246 | wn(:,:,:) = 0._wp |
|---|
| 2247 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
|---|
| 2248 | END IF |
|---|
| 2249 | |
|---|
| 2250 | id1 = iom_varid( numror, 'hbl' , ldstop = .FALSE. ) |
|---|
| 2251 | id2 = iom_varid( numror, 'dh' , ldstop = .FALSE. ) |
|---|
| 2252 | IF( id1 > 0 .AND. id2 > 0) THEN ! 'hbl' exists; read and return |
|---|
| 2253 | CALL iom_get( numror, jpdom_autoglo, 'hbl' , hbl , ldxios = lrxios ) |
|---|
| 2254 | CALL iom_get( numror, jpdom_autoglo, 'dh', dh, ldxios = lrxios ) |
|---|
| 2255 | WRITE(numout,*) ' ===>>>> : hbl & dh read from restart file' |
|---|
| 2256 | IF( ln_osm_mle ) THEN |
|---|
| 2257 | id3 = iom_varid( numror, 'hmle' , ldstop = .FALSE. ) |
|---|
| 2258 | IF( id3 > 0) THEN |
|---|
| 2259 | CALL iom_get( numror, jpdom_autoglo, 'hmle' , hmle , ldxios = lrxios ) |
|---|
| 2260 | WRITE(numout,*) ' ===>>>> : hmle read from restart file' |
|---|
| 2261 | ELSE |
|---|
| 2262 | WRITE(numout,*) ' ===>>>> : hmle not found, set to hbl' |
|---|
| 2263 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
|---|
| 2264 | END IF |
|---|
| 2265 | END IF |
|---|
| 2266 | RETURN |
|---|
| 2267 | ELSE ! 'hbl' & 'dh' not in restart file, recalculate |
|---|
| 2268 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
|---|
| 2269 | END IF |
|---|
| 2270 | END IF |
|---|
| 2271 | |
|---|
| 2272 | !!----------------------------------------------------------------------------- |
|---|
| 2273 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
|---|
| 2274 | !!----------------------------------------------------------------------------- |
|---|
| 2275 | IF( TRIM(cdrw) == 'WRITE') THEN !* Write hbli into the restart file, then return |
|---|
| 2276 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
|---|
| 2277 | CALL iom_rstput( kt, nitrst, numrow, 'wn' , wn, ldxios = lwxios ) |
|---|
| 2278 | CALL iom_rstput( kt, nitrst, numrow, 'hbl' , hbl, ldxios = lwxios ) |
|---|
| 2279 | CALL iom_rstput( kt, nitrst, numrow, 'dh' , dh, ldxios = lwxios ) |
|---|
| 2280 | IF( ln_osm_mle ) THEN |
|---|
| 2281 | CALL iom_rstput( kt, nitrst, numrow, 'hmle', hmle, ldxios = lwxios ) |
|---|
| 2282 | END IF |
|---|
| 2283 | RETURN |
|---|
| 2284 | END IF |
|---|
| 2285 | |
|---|
| 2286 | !!----------------------------------------------------------------------------- |
|---|
| 2287 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
|---|
| 2288 | !!----------------------------------------------------------------------------- |
|---|
| 2289 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
|---|
| 2290 | ! w-level of the mixing and mixed layers |
|---|
| 2291 | CALL eos_rab( tsn, rab_n ) |
|---|
| 2292 | CALL bn2(tsn, rab_n, rn2) |
|---|
| 2293 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
|---|
| 2294 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
|---|
| 2295 | zN2_c = grav * rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
|---|
| 2296 | ! |
|---|
| 2297 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
|---|
| 2298 | DO jk = 1, jpkm1 |
|---|
| 2299 | DO jj = 1, jpj ! Mixed layer level: w-level |
|---|
| 2300 | DO ji = 1, jpi |
|---|
| 2301 | ikt = mbkt(ji,jj) |
|---|
| 2302 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
|---|
| 2303 | IF( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
|---|
| 2304 | END DO |
|---|
| 2305 | END DO |
|---|
| 2306 | END DO |
|---|
| 2307 | ! |
|---|
| 2308 | DO jj = 1, jpj |
|---|
| 2309 | DO ji = 1, jpi |
|---|
| 2310 | iiki = MAX(4,imld_rst(ji,jj)) |
|---|
| 2311 | hbl (ji,jj) = gdepw_n(ji,jj,iiki ) ! Turbocline depth |
|---|
| 2312 | dh (ji,jj) = e3t_n(ji,jj,iiki-1 ) ! Turbocline depth |
|---|
| 2313 | END DO |
|---|
| 2314 | END DO |
|---|
| 2315 | |
|---|
| 2316 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
|---|
| 2317 | |
|---|
| 2318 | IF( ln_osm_mle ) THEN |
|---|
| 2319 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
|---|
| 2320 | WRITE(numout,*) ' ===>>>> : hmle set = to hbl' |
|---|
| 2321 | END IF |
|---|
| 2322 | |
|---|
| 2323 | wn(:,:,:) = 0._wp |
|---|
| 2324 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
|---|
| 2325 | END SUBROUTINE osm_rst |
|---|
| 2326 | |
|---|
| 2327 | |
|---|
| 2328 | SUBROUTINE tra_osm( kt ) |
|---|
| 2329 | !!---------------------------------------------------------------------- |
|---|
| 2330 | !! *** ROUTINE tra_osm *** |
|---|
| 2331 | !! |
|---|
| 2332 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
|---|
| 2333 | !! |
|---|
| 2334 | !! ** Method : ??? |
|---|
| 2335 | !!---------------------------------------------------------------------- |
|---|
| 2336 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
|---|
| 2337 | !!---------------------------------------------------------------------- |
|---|
| 2338 | INTEGER, INTENT(in) :: kt |
|---|
| 2339 | INTEGER :: ji, jj, jk |
|---|
| 2340 | ! |
|---|
| 2341 | IF( kt == nit000 ) THEN |
|---|
| 2342 | IF(lwp) WRITE(numout,*) |
|---|
| 2343 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
|---|
| 2344 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 2345 | ENDIF |
|---|
| 2346 | |
|---|
| 2347 | IF( l_trdtra ) THEN !* Save ta and sa trends |
|---|
| 2348 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
|---|
| 2349 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
|---|
| 2350 | ENDIF |
|---|
| 2351 | |
|---|
| 2352 | DO jk = 1, jpkm1 |
|---|
| 2353 | DO jj = 2, jpjm1 |
|---|
| 2354 | DO ji = 2, jpim1 |
|---|
| 2355 | tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem) & |
|---|
| 2356 | & - ( ghamt(ji,jj,jk ) & |
|---|
| 2357 | & - ghamt(ji,jj,jk+1) ) /e3t_n(ji,jj,jk) |
|---|
| 2358 | tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal) & |
|---|
| 2359 | & - ( ghams(ji,jj,jk ) & |
|---|
| 2360 | & - ghams(ji,jj,jk+1) ) / e3t_n(ji,jj,jk) |
|---|
| 2361 | END DO |
|---|
| 2362 | END DO |
|---|
| 2363 | END DO |
|---|
| 2364 | |
|---|
| 2365 | ! save the non-local tracer flux trends for diagnostics |
|---|
| 2366 | IF( l_trdtra ) THEN |
|---|
| 2367 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
|---|
| 2368 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
|---|
| 2369 | |
|---|
| 2370 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_osm, ztrdt ) |
|---|
| 2371 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_osm, ztrds ) |
|---|
| 2372 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
|---|
| 2373 | ENDIF |
|---|
| 2374 | |
|---|
| 2375 | IF(ln_ctl) THEN |
|---|
| 2376 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' osm - Ta: ', mask1=tmask, & |
|---|
| 2377 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
|---|
| 2378 | ENDIF |
|---|
| 2379 | ! |
|---|
| 2380 | END SUBROUTINE tra_osm |
|---|
| 2381 | |
|---|
| 2382 | |
|---|
| 2383 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
|---|
| 2384 | !!---------------------------------------------------------------------- |
|---|
| 2385 | !! *** ROUTINE trc_osm *** |
|---|
| 2386 | !! |
|---|
| 2387 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
|---|
| 2388 | !! passive tracer flux |
|---|
| 2389 | !! |
|---|
| 2390 | !! |
|---|
| 2391 | !! ** Method : ??? |
|---|
| 2392 | !!---------------------------------------------------------------------- |
|---|
| 2393 | ! |
|---|
| 2394 | !!---------------------------------------------------------------------- |
|---|
| 2395 | INTEGER, INTENT(in) :: kt |
|---|
| 2396 | WRITE(*,*) 'trc_osm: Not written yet', kt |
|---|
| 2397 | END SUBROUTINE trc_osm |
|---|
| 2398 | |
|---|
| 2399 | |
|---|
| 2400 | SUBROUTINE dyn_osm( kt ) |
|---|
| 2401 | !!---------------------------------------------------------------------- |
|---|
| 2402 | !! *** ROUTINE dyn_osm *** |
|---|
| 2403 | !! |
|---|
| 2404 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
|---|
| 2405 | !! copied/modified from tra_osm |
|---|
| 2406 | !! |
|---|
| 2407 | !! ** Method : ??? |
|---|
| 2408 | !!---------------------------------------------------------------------- |
|---|
| 2409 | INTEGER, INTENT(in) :: kt ! |
|---|
| 2410 | ! |
|---|
| 2411 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 2412 | !!---------------------------------------------------------------------- |
|---|
| 2413 | ! |
|---|
| 2414 | IF( kt == nit000 ) THEN |
|---|
| 2415 | IF(lwp) WRITE(numout,*) |
|---|
| 2416 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
|---|
| 2417 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 2418 | ENDIF |
|---|
| 2419 | !code saving tracer trends removed, replace with trdmxl_oce |
|---|
| 2420 | |
|---|
| 2421 | DO jk = 1, jpkm1 ! add non-local u and v fluxes |
|---|
| 2422 | DO jj = 2, jpjm1 |
|---|
| 2423 | DO ji = 2, jpim1 |
|---|
| 2424 | ua(ji,jj,jk) = ua(ji,jj,jk) & |
|---|
| 2425 | & - ( ghamu(ji,jj,jk ) & |
|---|
| 2426 | & - ghamu(ji,jj,jk+1) ) / e3u_n(ji,jj,jk) |
|---|
| 2427 | va(ji,jj,jk) = va(ji,jj,jk) & |
|---|
| 2428 | & - ( ghamv(ji,jj,jk ) & |
|---|
| 2429 | & - ghamv(ji,jj,jk+1) ) / e3v_n(ji,jj,jk) |
|---|
| 2430 | END DO |
|---|
| 2431 | END DO |
|---|
| 2432 | END DO |
|---|
| 2433 | ! |
|---|
| 2434 | ! code for saving tracer trends removed |
|---|
| 2435 | ! |
|---|
| 2436 | END SUBROUTINE dyn_osm |
|---|
| 2437 | |
|---|
| 2438 | !!====================================================================== |
|---|
| 2439 | |
|---|
| 2440 | END MODULE zdfosm |
|---|
