| 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 zdfmxl ! mixed layer depth |
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| 61 | USE iom ! I/O library |
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| 62 | USE lib_mpp ! MPP library |
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| 63 | USE trd_oce ! ocean trends definition |
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| 64 | USE trdtra ! tracers trends |
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| 65 | ! |
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| 66 | USE in_out_manager ! I/O manager |
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| 67 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 68 | USE prtctl ! Print control |
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| 69 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| 70 | |
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| 71 | IMPLICIT NONE |
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| 72 | PRIVATE |
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| 73 | |
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| 74 | PUBLIC zdf_osm ! routine called by step.F90 |
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| 75 | PUBLIC zdf_osm_init ! routine called by nemogcm.F90 |
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| 76 | PUBLIC osm_rst ! routine called by step.F90 |
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| 77 | PUBLIC tra_osm ! routine called by step.F90 |
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| 78 | PUBLIC trc_osm ! routine called by trcstp.F90 |
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| 79 | PUBLIC dyn_osm ! routine called by step.F90 |
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| 80 | |
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| 81 | PUBLIC ln_osm_mle ! logical needed by tra_mle_init in tramle.F90 |
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| 82 | |
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| 83 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: non-local u-momentum flux |
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| 84 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: non-local v-momentum flux |
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| 85 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: non-local temperature flux (gamma/<ws>o) |
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| 86 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: non-local salinity flux (gamma/<ws>o) |
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| 87 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean !: averaging operator for avt |
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| 88 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: boundary layer depth |
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| 89 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dh ! depth of pycnocline |
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| 90 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hml ! ML depth |
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| 91 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes !: penetration depth of the Stokes drift. |
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| 92 | |
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| 93 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_ft ! inverse of the modified Coriolis parameter at t-pts |
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| 94 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmle ! Depth of layer affexted by mixed layer eddies in Fox-Kemper parametrization |
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| 95 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdx_mle ! zonal buoyancy gradient in ML |
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| 96 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdy_mle ! meridional buoyancy gradient in ML |
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| 97 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: mld_prof ! level of base of MLE layer. |
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| 98 | |
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| 99 | ! !!** Namelist namzdf_osm ** |
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| 100 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
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| 101 | |
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| 102 | LOGICAL :: ln_osm_mle !: flag to activate the Mixed Layer Eddy (MLE) parameterisation |
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| 103 | |
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| 104 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
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| 105 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
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| 106 | REAL(wp) :: rn_zdfosm_adjust_sd = 1.0 ! factor to reduce Stokes drift by |
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| 107 | REAL(wp) :: rn_osm_hblfrac = 0.1! for nn_osm_wave = 3/4 specify fraction in top of hbl |
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| 108 | LOGICAL :: ln_zdfosm_ice_shelter ! flag to activate ice sheltering |
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| 109 | REAL(wp) :: rn_osm_hbl0 = 10._wp ! Initial value of hbl for 1D runs |
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| 110 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
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| 111 | 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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| 112 | INTEGER :: nn_osm_SD_reduce ! = 0/1/2 flag for getting effective stokes drift from surface value |
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| 113 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
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| 114 | |
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| 115 | LOGICAL :: ln_kpprimix = .true. ! Shear instability mixing |
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| 116 | REAL(wp) :: rn_riinfty = 0.7 ! local Richardson Number limit for shear instability |
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| 117 | REAL(wp) :: rn_difri = 0.005 ! maximum shear mixing at Rig = 0 (m2/s) |
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| 118 | LOGICAL :: ln_convmix = .true. ! Convective instability mixing |
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| 119 | REAL(wp) :: rn_difconv = 1._wp ! diffusivity when unstable below BL (m2/s) |
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| 120 | |
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| 121 | ! OSMOSIS mixed layer eddy parametrization constants |
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| 122 | INTEGER :: nn_osm_mle ! = 0/1 flag for horizontal average on avt |
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| 123 | REAL(wp) :: rn_osm_mle_ce ! MLE coefficient |
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| 124 | ! ! parameters used in nn_osm_mle = 0 case |
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| 125 | REAL(wp) :: rn_osm_mle_lf ! typical scale of mixed layer front |
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| 126 | REAL(wp) :: rn_osm_mle_time ! time scale for mixing momentum across the mixed layer |
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| 127 | ! ! parameters used in nn_osm_mle = 1 case |
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| 128 | REAL(wp) :: rn_osm_mle_lat ! reference latitude for a 5 km scale of ML front |
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| 129 | LOGICAL :: ln_osm_hmle_limit ! If true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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| 130 | 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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| 131 | REAL(wp) :: rn_osm_mle_rho_c ! Density criterion for definition of MLD used by FK |
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| 132 | REAL(wp) :: r5_21 = 5.e0 / 21.e0 ! factor used in mle streamfunction computation |
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| 133 | REAL(wp) :: rb_c ! ML buoyancy criteria = g rho_c /rau0 where rho_c is defined in zdfmld |
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| 134 | REAL(wp) :: rc_f ! MLE coefficient (= rn_ce / (5 km * fo) ) in nn_osm_mle=1 case |
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| 135 | REAL(wp) :: rn_osm_mle_thresh ! Threshold buoyancy for deepening of MLE layer below OSBL base. |
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| 136 | REAL(wp) :: rn_osm_bl_thresh ! Threshold buoyancy for deepening of OSBL base. |
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| 137 | REAL(wp) :: rn_osm_mle_tau ! Adjustment timescale for MLE. |
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| 138 | |
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| 139 | |
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| 140 | ! !!! ** General constants ** |
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| 141 | REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number to ensure no div by zero |
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| 142 | 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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| 143 | REAL(wp) :: pthird = 1._wp/3._wp ! 1/3 |
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| 144 | REAL(wp) :: p2third = 2._wp/3._wp ! 2/3 |
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| 145 | |
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| 146 | INTEGER :: idebug = 236 |
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| 147 | INTEGER :: jdebug = 228 |
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| 148 | !!---------------------------------------------------------------------- |
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| 149 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 150 | !! $Id: zdfosm.F90 12317 2020-01-14 12:40:47Z agn $ |
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| 151 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 152 | !!---------------------------------------------------------------------- |
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| 153 | CONTAINS |
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| 154 | |
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| 155 | INTEGER FUNCTION zdf_osm_alloc() |
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| 156 | !!---------------------------------------------------------------------- |
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| 157 | !! *** FUNCTION zdf_osm_alloc *** |
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| 158 | !!---------------------------------------------------------------------- |
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| 159 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & |
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| 160 | & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
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| 161 | & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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| 162 | |
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| 163 | ALLOCATE( hmle(jpi,jpj), r1_ft(jpi,jpj), dbdx_mle(jpi,jpj), dbdy_mle(jpi,jpj), & |
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| 164 | & mld_prof(jpi,jpj), STAT= zdf_osm_alloc ) |
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| 165 | |
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| 166 | ! 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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| 167 | ! & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
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| 168 | ! & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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| 169 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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| 170 | ! IF ( ln_osm_mle ) THEN |
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| 171 | ! Allocate( hmle(jpi,jpj), r1_ft(jpi,jpj), STAT= zdf_osm_alloc ) |
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| 172 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm mle arrays') |
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| 173 | ! ENDIF |
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| 174 | |
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| 175 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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| 176 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
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| 177 | END FUNCTION zdf_osm_alloc |
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| 178 | |
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| 179 | |
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| 180 | SUBROUTINE zdf_osm( kt, p_avm, p_avt ) |
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| 181 | !!---------------------------------------------------------------------- |
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| 182 | !! *** ROUTINE zdf_osm *** |
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| 183 | !! |
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| 184 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 185 | !! coefficients and non local mixing using the OSMOSIS scheme |
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| 186 | !! |
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| 187 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
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| 188 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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| 189 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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| 190 | !! |
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| 191 | !! Kx = hosm Wx(sigma) G(sigma) |
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| 192 | !! |
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| 193 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
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| 194 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
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| 195 | !! shear instability and double diffusion. |
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| 196 | !! |
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| 197 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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| 198 | !! -2- Diagnose the boundary layer depth. |
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| 199 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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| 200 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
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| 201 | !! -5- Smoothing |
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| 202 | !! |
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| 203 | !! N.B. The computation is done from jk=2 to jpkm1 |
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| 204 | !! Surface value of avt are set once a time to zero |
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| 205 | !! in routine zdf_osm_init. |
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| 206 | !! |
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| 207 | !! ** Action : update the non-local terms ghamts |
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| 208 | !! update avt (before vertical eddy coef.) |
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| 209 | !! |
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| 210 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
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| 211 | !! Reviews of Geophysics, 32, 4, November 1994 |
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| 212 | !! Comments in the code refer to this paper, particularly |
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| 213 | !! the equation number. (LMD94, here after) |
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| 214 | !!---------------------------------------------------------------------- |
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| 215 | INTEGER , INTENT(in ) :: kt ! ocean time step |
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| 216 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
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| 217 | !! |
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| 218 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 219 | |
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| 220 | INTEGER :: jl ! dummy loop indices |
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| 221 | |
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| 222 | INTEGER :: ikbot, jkmax, jkm1, jkp2 ! |
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| 223 | |
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| 224 | REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube ! |
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| 225 | REAL(wp) :: zbeta, zthermal ! |
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| 226 | REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales |
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| 227 | REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm ! |
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| 228 | |
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| 229 | 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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| 230 | INTEGER :: jm ! dummy loop indices |
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| 231 | REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms |
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| 232 | REAL(wp) :: zflag, zrn2, zdep21, zdep32, zdep43 |
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| 233 | REAL(wp) :: zesh2, zri, zfri ! Interior richardson mixing |
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| 234 | REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t |
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| 235 | REAL(wp) :: zt,zs,zu,zv,zrh ! variables used in constructing averages |
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| 236 | ! Scales |
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| 237 | REAL(wp), DIMENSION(jpi,jpj) :: zrad0 ! Surface solar temperature flux (deg m/s) |
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| 238 | REAL(wp), DIMENSION(jpi,jpj) :: zradh ! Radiative flux at bl base (Buoyancy units) |
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| 239 | REAL(wp), DIMENSION(jpi,jpj) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
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| 240 | REAL(wp), DIMENSION(jpi,jpj) :: zustar ! friction velocity |
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| 241 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrl ! Langmuir velocity scale |
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| 242 | REAL(wp), DIMENSION(jpi,jpj) :: zvstr ! Velocity scale that ends to zustar for large Langmuir number. |
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| 243 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrc ! Convective velocity scale |
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| 244 | REAL(wp), DIMENSION(jpi,jpj) :: zuw0 ! Surface u-momentum flux |
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| 245 | REAL(wp), DIMENSION(jpi,jpj) :: zvw0 ! Surface v-momentum flux |
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| 246 | REAL(wp), DIMENSION(jpi,jpj) :: zwth0 ! Surface heat flux (Kinematic) |
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| 247 | REAL(wp), DIMENSION(jpi,jpj) :: zws0 ! Surface freshwater flux |
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| 248 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0 ! Surface buoyancy flux |
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| 249 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0tot ! Total surface buoyancy flux including insolation |
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| 250 | REAL(wp), DIMENSION(jpi,jpj) :: zwthav ! Heat flux - bl average |
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| 251 | REAL(wp), DIMENSION(jpi,jpj) :: zwsav ! freshwater flux - bl average |
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| 252 | REAL(wp), DIMENSION(jpi,jpj) :: zwbav ! Buoyancy flux - bl average |
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| 253 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent ! Buoyancy entrainment flux |
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| 254 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_min |
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| 255 | |
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| 256 | |
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| 257 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk_b ! MLE buoyancy flux averaged over OSBL |
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| 258 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk ! max MLE buoyancy flux |
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| 259 | REAL(wp), DIMENSION(jpi,jpj) :: zdiff_mle ! extra MLE vertical diff |
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| 260 | REAL(wp), DIMENSION(jpi,jpj) :: zvel_mle ! velocity scale for dhdt with stable ML and FK |
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| 261 | |
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| 262 | REAL(wp), DIMENSION(jpi,jpj) :: zustke ! Surface Stokes drift |
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| 263 | REAL(wp), DIMENSION(jpi,jpj) :: zla ! Trubulent Langmuir number |
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| 264 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_wind ! Cos angle of surface stress |
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| 265 | REAL(wp), DIMENSION(jpi,jpj) :: zsin_wind ! Sin angle of surface stress |
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| 266 | REAL(wp), DIMENSION(jpi,jpj) :: zhol ! Stability parameter for boundary layer |
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| 267 | LOGICAL, DIMENSION(jpi,jpj) :: lconv ! unstable/stable bl |
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| 268 | LOGICAL, DIMENSION(jpi,jpj) :: lshear ! Shear layers |
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| 269 | LOGICAL, DIMENSION(jpi,jpj) :: lpyc ! OSBL pycnocline present |
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| 270 | LOGICAL, DIMENSION(jpi,jpj) :: lflux ! surface flux extends below OSBL into MLE layer. |
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| 271 | LOGICAL, DIMENSION(jpi,jpj) :: lmle ! MLE layer increases in hickness. |
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| 272 | |
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| 273 | ! mixed-layer variables |
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| 274 | |
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| 275 | INTEGER, DIMENSION(jpi,jpj) :: ibld ! level of boundary layer base |
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| 276 | INTEGER, DIMENSION(jpi,jpj) :: imld ! level of mixed-layer depth (pycnocline top) |
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| 277 | INTEGER, DIMENSION(jpi,jpj) :: jp_ext, jp_ext_mle ! offset for external level |
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| 278 | INTEGER, DIMENSION(jpi, jpj) :: j_ddh ! Type of shear layer |
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| 279 | |
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| 280 | REAL(wp) :: ztgrad,zsgrad,zbgrad ! Temporary variables used to calculate pycnocline gradients |
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| 281 | REAL(wp) :: zugrad,zvgrad ! temporary variables for calculating pycnocline shear |
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| 282 | |
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| 283 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl ! bl depth - grid |
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| 284 | REAL(wp), DIMENSION(jpi,jpj) :: zhml ! ml depth - grid |
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| 285 | |
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| 286 | REAL(wp), DIMENSION(jpi,jpj) :: zhmle ! MLE depth - grid |
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| 287 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! ML depth on grid |
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| 288 | |
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| 289 | REAL(wp), DIMENSION(jpi,jpj) :: zdh ! pycnocline depth - grid |
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| 290 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! BL depth tendency |
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| 291 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_bl_ext,zdsdz_bl_ext,zdbdz_bl_ext ! external temperature/salinity and buoyancy gradients |
|---|
| 292 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_mle_ext,zdsdz_mle_ext,zdbdz_mle_ext ! external temperature/salinity and buoyancy gradients |
|---|
| 293 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy ! horizontal gradients for Fox-Kemper parametrization. |
|---|
| 294 | |
|---|
| 295 | REAL(wp), DIMENSION(jpi,jpj) :: zt_bl,zs_bl,zu_bl,zv_bl,zb_bl ! averages over the depth of the blayer |
|---|
| 296 | REAL(wp), DIMENSION(jpi,jpj) :: zt_ml,zs_ml,zu_ml,zv_ml,zb_ml ! averages over the depth of the mixed layer |
|---|
| 297 | REAL(wp), DIMENSION(jpi,jpj) :: zt_mle,zs_mle,zu_mle,zv_mle,zb_mle ! averages over the depth of the MLE layer |
|---|
| 298 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_bl,zds_bl,zdu_bl,zdv_bl,zdb_bl ! difference between blayer average and parameter at base of blayer |
|---|
| 299 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_ml,zds_ml,zdu_ml,zdv_ml,zdb_ml ! difference between mixed layer average and parameter at base of blayer |
|---|
| 300 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_mle,zds_mle,zdu_mle,zdv_mle,zdb_mle ! difference between MLE layer average and parameter at base of blayer |
|---|
| 301 | ! REAL(wp), DIMENSION(jpi,jpj) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
|---|
| 302 | REAL(wp) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
|---|
| 303 | REAL(wp) :: zuw_bse,zvw_bse ! momentum fluxes at the top of the pycnocline |
|---|
| 304 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz_pyc ! parametrized gradient of temperature in pycnocline |
|---|
| 305 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdsdz_pyc ! parametrised gradient of salinity in pycnocline |
|---|
| 306 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdbdz_pyc ! parametrised gradient of buoyancy in the pycnocline |
|---|
| 307 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz_pyc ! u-shear across the pycnocline |
|---|
| 308 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdvdz_pyc ! v-shear across the pycnocline |
|---|
| 309 | REAL(wp), DIMENSION(jpi,jpj) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient. |
|---|
| 310 | ! Flux-gradient relationship variables |
|---|
| 311 | REAL(wp), DIMENSION(jpi, jpj) :: zshear ! Shear production. |
|---|
| 312 | |
|---|
| 313 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale. |
|---|
| 314 | |
|---|
| 315 | REAL(wp) :: za_cubic, zb_cubic, zc_cubic, zd_cubic ! coefficients in cubic polynomial specifying diffusivity in pycnocline. |
|---|
| 316 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_1,zsc_ws_1 ! Temporary scales used to calculate scalar non-gradient terms. |
|---|
| 317 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_pyc, zsc_ws_pyc ! Scales for pycnocline transport term/ |
|---|
| 318 | 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. |
|---|
| 319 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl_t ! holds boundary layer depth updated by full timestep |
|---|
| 320 | |
|---|
| 321 | ! For calculating Ri#-dependent mixing |
|---|
| 322 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3du ! u-shear^2 |
|---|
| 323 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3dv ! v-shear^2 |
|---|
| 324 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zrimix ! spatial form of ri#-induced diffusion |
|---|
| 325 | |
|---|
| 326 | ! Temporary variables |
|---|
| 327 | INTEGER :: inhml |
|---|
| 328 | REAL(wp) :: znd,znd_d,zznd_ml,zznd_pyc,zznd_d ! temporary non-dimensional depths used in various routines |
|---|
| 329 | REAL(wp) :: ztemp, zari, zpert, zzdhdt, zdb ! temporary variables |
|---|
| 330 | REAL(wp) :: zthick, zz0, zz1 ! temporary variables |
|---|
| 331 | REAL(wp) :: zvel_max, zhbl_s ! temporary variables |
|---|
| 332 | REAL(wp) :: zfac, ztmp ! temporary variable |
|---|
| 333 | REAL(wp) :: zus_x, zus_y ! temporary Stokes drift |
|---|
| 334 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zviscos ! viscosity |
|---|
| 335 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdiffut ! t-diffusivity |
|---|
| 336 | REAL(wp), DIMENSION(jpi,jpj) :: zalpha_pyc |
|---|
| 337 | REAL(wp), DIMENSION(jpi,jpj) :: ztau_sc_u ! dissipation timescale at baes of WML. |
|---|
| 338 | REAL(wp) :: zdelta_pyc, zwt_pyc_sc_1, zws_pyc_sc_1, zzeta_pyc |
|---|
| 339 | REAL(wp) :: zbuoy_pyc_sc, zomega, zvw_max |
|---|
| 340 | INTEGER :: ibld_ext=0 ! does not have to be zero for modified scheme |
|---|
| 341 | REAL(wp) :: zgamma_b_nd, zgamma_b, zdhoh, ztau |
|---|
| 342 | REAL(wp) :: zzeta_s = 0._wp |
|---|
| 343 | REAL(wp) :: zzeta_v = 0.46 |
|---|
| 344 | REAL(wp) :: zabsstke |
|---|
| 345 | REAL(wp) :: zsqrtpi, z_two_thirds, zproportion, ztransp, zthickness |
|---|
| 346 | REAL(wp) :: z2k_times_thickness, zsqrt_depth, zexp_depth, zdstokes0, zf, zexperfc |
|---|
| 347 | |
|---|
| 348 | ! For debugging |
|---|
| 349 | INTEGER :: ikt |
|---|
| 350 | !!-------------------------------------------------------------------- |
|---|
| 351 | ! |
|---|
| 352 | ibld(:,:) = 0 ; imld(:,:) = 0 |
|---|
| 353 | zrad0(:,:) = 0._wp ; zradh(:,:) = 0._wp ; zradav(:,:) = 0._wp ; zustar(:,:) = 0._wp |
|---|
| 354 | zwstrl(:,:) = 0._wp ; zvstr(:,:) = 0._wp ; zwstrc(:,:) = 0._wp ; zuw0(:,:) = 0._wp |
|---|
| 355 | zvw0(:,:) = 0._wp ; zwth0(:,:) = 0._wp ; zws0(:,:) = 0._wp ; zwb0(:,:) = 0._wp |
|---|
| 356 | zwthav(:,:) = 0._wp ; zwsav(:,:) = 0._wp ; zwbav(:,:) = 0._wp ; zwb_ent(:,:) = 0._wp |
|---|
| 357 | zustke(:,:) = 0._wp ; zla(:,:) = 0._wp ; zcos_wind(:,:) = 0._wp ; zsin_wind(:,:) = 0._wp |
|---|
| 358 | zhol(:,:) = 0._wp ; zwb0tot(:,:) = 0._wp |
|---|
| 359 | lconv(:,:) = .FALSE.; lpyc(:,:) = .FALSE. ; lflux(:,:) = .FALSE. ; lmle(:,:) = .FALSE. |
|---|
| 360 | ! mixed layer |
|---|
| 361 | ! no initialization of zhbl or zhml (or zdh?) |
|---|
| 362 | zhbl(:,:) = 1._wp ; zhml(:,:) = 1._wp ; zdh(:,:) = 1._wp ; zdhdt(:,:) = 0._wp |
|---|
| 363 | zt_bl(:,:) = 0._wp ; zs_bl(:,:) = 0._wp ; zu_bl(:,:) = 0._wp |
|---|
| 364 | zv_bl(:,:) = 0._wp ; zb_bl(:,:) = 0._wp |
|---|
| 365 | zt_ml(:,:) = 0._wp ; zs_ml(:,:) = 0._wp ; zu_ml(:,:) = 0._wp |
|---|
| 366 | zt_mle(:,:) = 0._wp ; zs_mle(:,:) = 0._wp ; zu_mle(:,:) = 0._wp |
|---|
| 367 | zb_mle(:,:) = 0._wp |
|---|
| 368 | zv_ml(:,:) = 0._wp ; zdt_bl(:,:) = 0._wp ; zds_bl(:,:) = 0._wp |
|---|
| 369 | zdu_bl(:,:) = 0._wp ; zdv_bl(:,:) = 0._wp ; zdb_bl(:,:) = 0._wp |
|---|
| 370 | zdt_ml(:,:) = 0._wp ; zds_ml(:,:) = 0._wp ; zdu_ml(:,:) = 0._wp ; zdv_ml(:,:) = 0._wp |
|---|
| 371 | zdb_ml(:,:) = 0._wp |
|---|
| 372 | zdt_mle(:,:) = 0._wp ; zds_mle(:,:) = 0._wp ; zdu_mle(:,:) = 0._wp |
|---|
| 373 | zdv_mle(:,:) = 0._wp ; zdb_mle(:,:) = 0._wp |
|---|
| 374 | zwth_ent = 0._wp ; zws_ent = 0._wp |
|---|
| 375 | ! |
|---|
| 376 | zdtdz_pyc(:,:,:) = 0._wp ; zdsdz_pyc(:,:,:) = 0._wp ; zdbdz_pyc(:,:,:) = 0._wp |
|---|
| 377 | zdudz_pyc(:,:,:) = 0._wp ; zdvdz_pyc(:,:,:) = 0._wp |
|---|
| 378 | ! |
|---|
| 379 | zdtdz_bl_ext(:,:) = 0._wp ; zdsdz_bl_ext(:,:) = 0._wp ; zdbdz_bl_ext(:,:) = 0._wp |
|---|
| 380 | |
|---|
| 381 | IF ( ln_osm_mle ) THEN ! only initialise arrays if needed |
|---|
| 382 | zdtdx(:,:) = 0._wp ; zdtdy(:,:) = 0._wp ; zdsdx(:,:) = 0._wp |
|---|
| 383 | zdsdy(:,:) = 0._wp ; dbdx_mle(:,:) = 0._wp ; dbdy_mle(:,:) = 0._wp |
|---|
| 384 | zwb_fk(:,:) = 0._wp ; zvel_mle(:,:) = 0._wp; zdiff_mle(:,:) = 0._wp |
|---|
| 385 | zhmle(:,:) = 0._wp ; zmld(:,:) = 0._wp |
|---|
| 386 | ENDIF |
|---|
| 387 | zwb_fk_b(:,:) = 0._wp ! must be initialised even with ln_osm_mle=F as used in zdf_osm_calculate_dhdt |
|---|
| 388 | |
|---|
| 389 | ! Flux-Gradient arrays. |
|---|
| 390 | zsc_wth_1(:,:) = 0._wp ; zsc_ws_1(:,:) = 0._wp ; zsc_uw_1(:,:) = 0._wp |
|---|
| 391 | zsc_uw_2(:,:) = 0._wp ; zsc_vw_1(:,:) = 0._wp ; zsc_vw_2(:,:) = 0._wp |
|---|
| 392 | zhbl_t(:,:) = 0._wp ; zdhdt(:,:) = 0._wp |
|---|
| 393 | |
|---|
| 394 | zdiffut(:,:,:) = 0._wp ; zviscos(:,:,:) = 0._wp ; ghamt(:,:,:) = 0._wp |
|---|
| 395 | ghams(:,:,:) = 0._wp ; ghamu(:,:,:) = 0._wp ; ghamv(:,:,:) = 0._wp |
|---|
| 396 | |
|---|
| 397 | ! hbl = MAX(hbl,epsln) |
|---|
| 398 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 399 | ! Calculate boundary layer scales |
|---|
| 400 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 401 | |
|---|
| 402 | ! Assume two-band radiation model for depth of OSBL |
|---|
| 403 | zz0 = rn_abs ! surface equi-partition in 2-bands |
|---|
| 404 | zz1 = 1. - rn_abs |
|---|
| 405 | DO jj = 2, jpjm1 |
|---|
| 406 | DO ji = 2, jpim1 |
|---|
| 407 | ! Surface downward irradiance (so always +ve) |
|---|
| 408 | zrad0(ji,jj) = qsr(ji,jj) * r1_rau0_rcp |
|---|
| 409 | ! Downwards irradiance at base of boundary layer |
|---|
| 410 | zradh(ji,jj) = zrad0(ji,jj) * ( zz0 * EXP( -hbl(ji,jj)/rn_si0 ) + zz1 * EXP( -hbl(ji,jj)/rn_si1) ) |
|---|
| 411 | ! Downwards irradiance averaged over depth of the OSBL |
|---|
| 412 | zradav(ji,jj) = zrad0(ji,jj) * ( zz0 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si0 ) )*rn_si0 & |
|---|
| 413 | & + zz1 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si1 ) )*rn_si1 ) / hbl(ji,jj) |
|---|
| 414 | END DO |
|---|
| 415 | END DO |
|---|
| 416 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
|---|
| 417 | DO jj = 2, jpjm1 |
|---|
| 418 | DO ji = 2, jpim1 |
|---|
| 419 | zthermal = rab_n(ji,jj,1,jp_tem) |
|---|
| 420 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 421 | ! Upwards surface Temperature flux for non-local term |
|---|
| 422 | zwth0(ji,jj) = - qns(ji,jj) * r1_rau0_rcp * tmask(ji,jj,1) |
|---|
| 423 | ! Upwards surface salinity flux for non-local term |
|---|
| 424 | zws0(ji,jj) = - ( ( emp(ji,jj)-rnf(ji,jj) ) * tsn(ji,jj,1,jp_sal) + sfx(ji,jj) ) * r1_rau0 * tmask(ji,jj,1) |
|---|
| 425 | ! Non radiative upwards surface buoyancy flux |
|---|
| 426 | zwb0(ji,jj) = grav * zthermal * zwth0(ji,jj) - grav * zbeta * zws0(ji,jj) |
|---|
| 427 | ! Total upwards surface buoyancy flux |
|---|
| 428 | zwb0tot(ji,jj) = zwb0(ji,jj) - grav * zthermal * zrad0(ji,jj) |
|---|
| 429 | ! turbulent heat flux averaged over depth of OSBL |
|---|
| 430 | zwthav(ji,jj) = 0.5 * zwth0(ji,jj) - ( 0.5*( zrad0(ji,jj) + zradh(ji,jj) ) - zradav(ji,jj) ) |
|---|
| 431 | ! turbulent salinity flux averaged over depth of the OBSL |
|---|
| 432 | zwsav(ji,jj) = 0.5 * zws0(ji,jj) |
|---|
| 433 | ! turbulent buoyancy flux averaged over the depth of the OBSBL |
|---|
| 434 | zwbav(ji,jj) = grav * zthermal * zwthav(ji,jj) - grav * zbeta * zwsav(ji,jj) |
|---|
| 435 | ! Surface upward velocity fluxes |
|---|
| 436 | zuw0(ji,jj) = - 0.5 * (utau(ji-1,jj) + utau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
|---|
| 437 | zvw0(ji,jj) = - 0.5 * (vtau(ji,jj-1) + vtau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
|---|
| 438 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
|---|
| 439 | zustar(ji,jj) = MAX( SQRT( SQRT( zuw0(ji,jj) * zuw0(ji,jj) + zvw0(ji,jj) * zvw0(ji,jj) ) ), 1.0e-8 ) |
|---|
| 440 | zcos_wind(ji,jj) = -zuw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
|---|
| 441 | zsin_wind(ji,jj) = -zvw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
|---|
| 442 | END DO |
|---|
| 443 | END DO |
|---|
| 444 | ! Calculate Stokes drift in direction of wind (zustke) and Stokes penetration depth (dstokes) |
|---|
| 445 | SELECT CASE (nn_osm_wave) |
|---|
| 446 | ! Assume constant La#=0.3 |
|---|
| 447 | CASE(0) |
|---|
| 448 | DO jj = 2, jpjm1 |
|---|
| 449 | DO ji = 2, jpim1 |
|---|
| 450 | zus_x = zcos_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
|---|
| 451 | zus_y = zsin_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
|---|
| 452 | ! Linearly |
|---|
| 453 | zustke(ji,jj) = MAX ( SQRT( zus_x*zus_x + zus_y*zus_y), 1.0e-8 ) |
|---|
| 454 | dstokes(ji,jj) = rn_osm_dstokes |
|---|
| 455 | END DO |
|---|
| 456 | END DO |
|---|
| 457 | ! Assume Pierson-Moskovitz wind-wave spectrum |
|---|
| 458 | CASE(1) |
|---|
| 459 | DO jj = 2, jpjm1 |
|---|
| 460 | DO ji = 2, jpim1 |
|---|
| 461 | ! Use wind speed wndm included in sbc_oce module |
|---|
| 462 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
|---|
| 463 | dstokes(ji,jj) = MAX ( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
|---|
| 464 | END DO |
|---|
| 465 | END DO |
|---|
| 466 | ! Use ECMWF wave fields as output from SBCWAVE |
|---|
| 467 | CASE(2) |
|---|
| 468 | zfac = 2.0_wp * rpi / 16.0_wp |
|---|
| 469 | |
|---|
| 470 | DO jj = 2, jpjm1 |
|---|
| 471 | DO ji = 2, jpim1 |
|---|
| 472 | IF (hsw(ji,jj) > 1.e-4) THEN |
|---|
| 473 | ! Use wave fields |
|---|
| 474 | zabsstke = SQRT(ut0sd(ji,jj)**2 + vt0sd(ji,jj)**2) |
|---|
| 475 | zustke(ji,jj) = MAX ( ( zcos_wind(ji,jj) * ut0sd(ji,jj) + zsin_wind(ji,jj) * vt0sd(ji,jj) ), 1.0e-8) |
|---|
| 476 | dstokes(ji,jj) = MAX (zfac * hsw(ji,jj)*hsw(ji,jj) / ( MAX(zabsstke * wmp(ji,jj), 1.0e-7 ) ), 5.0e-1) |
|---|
| 477 | ELSE |
|---|
| 478 | ! Assume masking issue (e.g. ice in ECMWF reanalysis but not in model run) |
|---|
| 479 | ! .. so default to Pierson-Moskowitz |
|---|
| 480 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
|---|
| 481 | dstokes(ji,jj) = MAX ( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
|---|
| 482 | END IF |
|---|
| 483 | END DO |
|---|
| 484 | END DO |
|---|
| 485 | END SELECT |
|---|
| 486 | |
|---|
| 487 | IF (ln_zdfosm_ice_shelter) THEN |
|---|
| 488 | ! Reduce both Stokes drift and its depth scale by ocean fraction to represent sheltering by ice |
|---|
| 489 | DO jj = 2, jpjm1 |
|---|
| 490 | DO ji = 2, jpim1 |
|---|
| 491 | zustke(ji,jj) = zustke(ji,jj) * (1.0_wp - fr_i(ji,jj)) |
|---|
| 492 | dstokes(ji,jj) = dstokes(ji,jj) * (1.0_wp - fr_i(ji,jj)) |
|---|
| 493 | END DO |
|---|
| 494 | END DO |
|---|
| 495 | END IF |
|---|
| 496 | |
|---|
| 497 | SELECT CASE (nn_osm_SD_reduce) |
|---|
| 498 | ! Reduce surface Stokes drift by a constant factor or following Breivik (2016) + van Roekel (2012) or Grant (2020). |
|---|
| 499 | CASE(0) |
|---|
| 500 | ! The Langmur number from the ECMWF model (or from PM) appears to give La<0.3 for wind-driven seas. |
|---|
| 501 | ! The coefficient rn_zdfosm_adjust_sd = 0.8 gives La=0.3 in this situation. |
|---|
| 502 | ! It could represent the effects of the spread of wave directions |
|---|
| 503 | ! around the mean wind. The effect of this adjustment needs to be tested. |
|---|
| 504 | IF(nn_osm_wave > 0) THEN |
|---|
| 505 | zustke(2:jpim1,2:jpjm1) = rn_zdfosm_adjust_sd * zustke(2:jpim1,2:jpjm1) |
|---|
| 506 | END IF |
|---|
| 507 | CASE(1) |
|---|
| 508 | ! van Roekel (2012): consider average SD over top 10% of boundary layer |
|---|
| 509 | ! assumes approximate depth profile of SD from Breivik (2016) |
|---|
| 510 | zsqrtpi = SQRT(rpi) |
|---|
| 511 | z_two_thirds = 2.0_wp / 3.0_wp |
|---|
| 512 | |
|---|
| 513 | DO jj = 2, jpjm1 |
|---|
| 514 | DO ji = 2, jpim1 |
|---|
| 515 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
|---|
| 516 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 0.0000001_wp ) |
|---|
| 517 | zsqrt_depth = SQRT(z2k_times_thickness) |
|---|
| 518 | zexp_depth = EXP(-z2k_times_thickness) |
|---|
| 519 | zustke(ji,jj) = zustke(ji,jj) * (1.0_wp - zexp_depth & |
|---|
| 520 | & - z_two_thirds * ( zsqrtpi*zsqrt_depth*z2k_times_thickness * ERFC(zsqrt_depth) & |
|---|
| 521 | & + 1.0_wp - (1.0_wp + z2k_times_thickness)*zexp_depth ) ) / z2k_times_thickness |
|---|
| 522 | |
|---|
| 523 | END DO |
|---|
| 524 | END DO |
|---|
| 525 | CASE(2) |
|---|
| 526 | ! Grant (2020): Match to exponential with same SD and d/dz(Sd) at depth 10% of boundary layer |
|---|
| 527 | ! assumes approximate depth profile of SD from Breivik (2016) |
|---|
| 528 | zsqrtpi = SQRT(rpi) |
|---|
| 529 | |
|---|
| 530 | DO jj = 2, jpjm1 |
|---|
| 531 | DO ji = 2, jpim1 |
|---|
| 532 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
|---|
| 533 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 0.0000001_wp ) |
|---|
| 534 | |
|---|
| 535 | IF(z2k_times_thickness < 50._wp) THEN |
|---|
| 536 | zsqrt_depth = SQRT(z2k_times_thickness) |
|---|
| 537 | zexperfc = zsqrtpi * zsqrt_depth * ERFC(zsqrt_depth) * EXP(z2k_times_thickness) |
|---|
| 538 | ELSE |
|---|
| 539 | ! asymptotic expansion of sqrt(pi)*zsqrt_depth*EXP(z2k_times_thickness)*ERFC(zsqrt_depth) for large z2k_times_thickness |
|---|
| 540 | ! See Abramowitz and Stegun, Eq. 7.1.23 |
|---|
| 541 | ! zexperfc = 1._wp - (1/2)/(z2k_times_thickness) + (3/4)/(z2k_times_thickness**2) - (15/8)/(z2k_times_thickness**3) |
|---|
| 542 | zexperfc = ((- 1.875_wp/z2k_times_thickness + 0.75_wp)/z2k_times_thickness - 0.5_wp)/z2k_times_thickness + 1.0_wp |
|---|
| 543 | END IF |
|---|
| 544 | zf = z2k_times_thickness*(1.0_wp/zexperfc - 1.0_wp) |
|---|
| 545 | dstokes(ji,jj) = 5.97 * zf * dstokes(ji,jj) |
|---|
| 546 | zustke(ji,jj) = zustke(ji,jj) * EXP(z2k_times_thickness * ( 1.0_wp / (2. * zf) - 1.0_wp )) * ( 1.0_wp - zexperfc) |
|---|
| 547 | END DO |
|---|
| 548 | END DO |
|---|
| 549 | END SELECT |
|---|
| 550 | |
|---|
| 551 | ! Langmuir velocity scale (zwstrl), La # (zla) |
|---|
| 552 | ! mixed scale (zvstr), convective velocity scale (zwstrc) |
|---|
| 553 | DO jj = 2, jpjm1 |
|---|
| 554 | DO ji = 2, jpim1 |
|---|
| 555 | ! Langmuir velocity scale (zwstrl), at T-point |
|---|
| 556 | zwstrl(ji,jj) = ( zustar(ji,jj) * zustar(ji,jj) * zustke(ji,jj) )**pthird |
|---|
| 557 | zla(ji,jj) = MAX(MIN(SQRT ( zustar(ji,jj) / ( zwstrl(ji,jj) + epsln ) )**3, 4.0), 0.2) |
|---|
| 558 | IF(zla(ji,jj) > 0.45) dstokes(ji,jj) = MIN(dstokes(ji,jj), 0.5_wp*hbl(ji,jj)) |
|---|
| 559 | ! Velocity scale that tends to zustar for large Langmuir numbers |
|---|
| 560 | zvstr(ji,jj) = ( zwstrl(ji,jj)**3 + & |
|---|
| 561 | & ( 1.0 - EXP( -0.5 * zla(ji,jj)**2 ) ) * zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) )**pthird |
|---|
| 562 | |
|---|
| 563 | ! limit maximum value of Langmuir number as approximate treatment for shear turbulence. |
|---|
| 564 | ! Note zustke and zwstrl are not amended. |
|---|
| 565 | ! |
|---|
| 566 | ! get convective velocity (zwstrc), stabilty scale (zhol) and logical conection flag lconv |
|---|
| 567 | IF ( zwbav(ji,jj) > 0.0) THEN |
|---|
| 568 | zwstrc(ji,jj) = ( 2.0 * zwbav(ji,jj) * 0.9 * hbl(ji,jj) )**pthird |
|---|
| 569 | zhol(ji,jj) = -0.9 * hbl(ji,jj) * 2.0 * zwbav(ji,jj) / (zvstr(ji,jj)**3 + epsln ) |
|---|
| 570 | ELSE |
|---|
| 571 | zhol(ji,jj) = -hbl(ji,jj) * 2.0 * zwbav(ji,jj)/ (zvstr(ji,jj)**3 + epsln ) |
|---|
| 572 | ENDIF |
|---|
| 573 | END DO |
|---|
| 574 | END DO |
|---|
| 575 | |
|---|
| 576 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 577 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
|---|
| 578 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 579 | ! BL must be always 4 levels deep. |
|---|
| 580 | ! For calculation of lateral buoyancy gradients for FK in |
|---|
| 581 | ! zdf_osm_zmld_horizontal_gradients need halo values for ibld, so must |
|---|
| 582 | ! previously exist for hbl also. |
|---|
| 583 | |
|---|
| 584 | ! agn 23/6/20: not clear all this is needed, as hbl checked after it is re-calculated anyway |
|---|
| 585 | ! ########################################################################## |
|---|
| 586 | hbl(:,:) = MAX(hbl(:,:), gdepw_n(:,:,4) ) |
|---|
| 587 | ibld(:,:) = 4 |
|---|
| 588 | DO jk = 5, jpkm1 |
|---|
| 589 | DO jj = 1, jpj |
|---|
| 590 | DO ji = 1, jpi |
|---|
| 591 | IF ( hbl(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
|---|
| 592 | ibld(ji,jj) = MIN(mbkt(ji,jj), jk) |
|---|
| 593 | ENDIF |
|---|
| 594 | END DO |
|---|
| 595 | END DO |
|---|
| 596 | END DO |
|---|
| 597 | ! ########################################################################## |
|---|
| 598 | |
|---|
| 599 | DO jj = 2, jpjm1 |
|---|
| 600 | DO ji = 2, jpim1 |
|---|
| 601 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
|---|
| 602 | imld(ji,jj) = MAX(3,ibld(ji,jj) - MAX( INT( dh(ji,jj) / e3t_n(ji, jj, ibld(ji,jj) )) , 1 )) |
|---|
| 603 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
|---|
| 604 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
|---|
| 605 | END DO |
|---|
| 606 | END DO |
|---|
| 607 | ! Averages over well-mixed and boundary layer |
|---|
| 608 | jp_ext(:,:) = 2 |
|---|
| 609 | CALL zdf_osm_vertical_average(ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl) |
|---|
| 610 | ! jp_ext(:,:) = ibld(:,:) - imld(:,:) + 1 |
|---|
| 611 | CALL zdf_osm_vertical_average(imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml) |
|---|
| 612 | ! Velocity components in frame aligned with surface stress. |
|---|
| 613 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_ml, zv_ml, zdu_ml, zdv_ml ) |
|---|
| 614 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_bl, zv_bl, zdu_bl, zdv_bl ) |
|---|
| 615 | ! Determine the state of the OSBL, stable/unstable, shear/no shear |
|---|
| 616 | CALL zdf_osm_osbl_state( lconv, lshear, j_ddh, zwb_ent, zwb_min, zshear ) |
|---|
| 617 | |
|---|
| 618 | IF ( ln_osm_mle ) THEN |
|---|
| 619 | ! Fox-Kemper Scheme |
|---|
| 620 | mld_prof = 4 |
|---|
| 621 | DO jk = 5, jpkm1 |
|---|
| 622 | DO jj = 2, jpjm1 |
|---|
| 623 | DO ji = 2, jpim1 |
|---|
| 624 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
|---|
| 625 | END DO |
|---|
| 626 | END DO |
|---|
| 627 | END DO |
|---|
| 628 | jp_ext_mle(:,:) = 2 |
|---|
| 629 | CALL zdf_osm_vertical_average(mld_prof, jp_ext_mle, zt_mle, zs_mle, zb_mle, zu_mle, zv_mle, zdt_mle, zds_mle, zdb_mle, zdu_mle, zdv_mle) |
|---|
| 630 | |
|---|
| 631 | DO jj = 2, jpjm1 |
|---|
| 632 | DO ji = 2, jpim1 |
|---|
| 633 | zhmle(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
|---|
| 634 | END DO |
|---|
| 635 | END DO |
|---|
| 636 | |
|---|
| 637 | !! External gradient |
|---|
| 638 | CALL zdf_osm_external_gradients( ibld+2, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
|---|
| 639 | CALL zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) |
|---|
| 640 | CALL zdf_osm_external_gradients( mld_prof, zdtdz_mle_ext, zdsdz_mle_ext, zdbdz_mle_ext ) |
|---|
| 641 | CALL zdf_osm_osbl_state_fk( lpyc, lflux, lmle, zwb_fk ) |
|---|
| 642 | CALL zdf_osm_mle_parameters( zmld, mld_prof, hmle, zhmle, zvel_mle, zdiff_mle ) |
|---|
| 643 | ELSE ! ln_osm_mle |
|---|
| 644 | ! FK not selected, Boundary Layer only. |
|---|
| 645 | lpyc(:,:) = .TRUE. |
|---|
| 646 | lflux(:,:) = .FALSE. |
|---|
| 647 | lmle(:,:) = .FALSE. |
|---|
| 648 | DO jj = 2, jpjm1 |
|---|
| 649 | DO ji = 2, jpim1 |
|---|
| 650 | IF ( lconv(ji,jj) .AND. zdb_bl(ji,jj) < rn_osm_bl_thresh ) lpyc(ji,jj) = .FALSE. |
|---|
| 651 | END DO |
|---|
| 652 | END DO |
|---|
| 653 | ENDIF ! ln_osm_mle |
|---|
| 654 | |
|---|
| 655 | ! Test if pycnocline well resolved |
|---|
| 656 | DO jj = 2, jpjm1 |
|---|
| 657 | DO ji = 2,jpim1 |
|---|
| 658 | IF (lconv(ji,jj) ) THEN |
|---|
| 659 | ztmp = 0.2 * zhbl(ji,jj) / e3w_n(ji,jj,ibld(ji,jj)) |
|---|
| 660 | IF ( ztmp > 6 ) THEN |
|---|
| 661 | ! pycnocline well resolved |
|---|
| 662 | jp_ext(ji,jj) = 1 |
|---|
| 663 | ELSE |
|---|
| 664 | ! pycnocline poorly resolved |
|---|
| 665 | jp_ext(ji,jj) = 0 |
|---|
| 666 | ENDIF |
|---|
| 667 | ELSE |
|---|
| 668 | ! Stable conditions |
|---|
| 669 | jp_ext(ji,jj) = 0 |
|---|
| 670 | ENDIF |
|---|
| 671 | END DO |
|---|
| 672 | END DO |
|---|
| 673 | |
|---|
| 674 | CALL zdf_osm_vertical_average(ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
|---|
| 675 | ! jp_ext = ibld-imld+1 |
|---|
| 676 | CALL zdf_osm_vertical_average(imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml) |
|---|
| 677 | ! Rate of change of hbl |
|---|
| 678 | CALL zdf_osm_calculate_dhdt( zdhdt ) |
|---|
| 679 | DO jj = 2, jpjm1 |
|---|
| 680 | DO ji = 2, jpim1 |
|---|
| 681 | 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 |
|---|
| 682 | ! adjustment to represent limiting by ocean bottom |
|---|
| 683 | IF ( zhbl_t(ji,jj) >= gdepw_n(ji, jj, mbkt(ji,jj) + 1 ) ) THEN |
|---|
| 684 | zhbl_t(ji,jj) = MIN(zhbl_t(ji,jj), gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol)! ht_n(:,:)) |
|---|
| 685 | lpyc(ji,jj) = .FALSE. |
|---|
| 686 | ENDIF |
|---|
| 687 | END DO |
|---|
| 688 | END DO |
|---|
| 689 | |
|---|
| 690 | imld(:,:) = ibld(:,:) ! use imld to hold previous blayer index |
|---|
| 691 | ibld(:,:) = 4 |
|---|
| 692 | |
|---|
| 693 | DO jk = 4, jpkm1 |
|---|
| 694 | DO jj = 2, jpjm1 |
|---|
| 695 | DO ji = 2, jpim1 |
|---|
| 696 | IF ( zhbl_t(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
|---|
| 697 | ibld(ji,jj) = jk |
|---|
| 698 | ENDIF |
|---|
| 699 | END DO |
|---|
| 700 | END DO |
|---|
| 701 | END DO |
|---|
| 702 | |
|---|
| 703 | ! |
|---|
| 704 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
|---|
| 705 | ! |
|---|
| 706 | CALL zdf_osm_timestep_hbl( zdhdt ) |
|---|
| 707 | ! is external level in bounds? |
|---|
| 708 | |
|---|
| 709 | CALL zdf_osm_vertical_average( ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
|---|
| 710 | ! |
|---|
| 711 | ! |
|---|
| 712 | ! Check to see if lpyc needs to be changed |
|---|
| 713 | |
|---|
| 714 | CALL zdf_osm_pycnocline_thickness( dh, zdh ) |
|---|
| 715 | |
|---|
| 716 | DO jj = 2, jpjm1 |
|---|
| 717 | DO ji = 2, jpim1 |
|---|
| 718 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh .or. ibld(ji,jj) + jp_ext(ji,jj) >= mbkt(ji,jj) .or. ibld(ji,jj)-imld(ji,jj) == 1 ) lpyc(ji,jj) = .FALSE. |
|---|
| 719 | END DO |
|---|
| 720 | END DO |
|---|
| 721 | |
|---|
| 722 | dstokes(:,:) = MIN ( dstokes(:,:), hbl(:,:)/3. ) ! Limit delta for shallow boundary layers for calculating flux-gradient terms. |
|---|
| 723 | ! |
|---|
| 724 | ! Average over the depth of the mixed layer in the convective boundary layer |
|---|
| 725 | ! jp_ext = ibld - imld +1 |
|---|
| 726 | CALL zdf_osm_vertical_average( imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml ) |
|---|
| 727 | ! rotate mean currents and changes onto wind align co-ordinates |
|---|
| 728 | ! |
|---|
| 729 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_ml, zv_ml, zdu_ml, zdv_ml ) |
|---|
| 730 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_bl, zv_bl, zdu_bl, zdv_bl ) |
|---|
| 731 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 732 | ! Pycnocline gradients for scalars and velocity |
|---|
| 733 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 734 | |
|---|
| 735 | CALL zdf_osm_external_gradients( ibld+2, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
|---|
| 736 | CALL zdf_osm_pycnocline_scalar_profiles( zdtdz_pyc, zdsdz_pyc, zdbdz_pyc, zalpha_pyc ) |
|---|
| 737 | CALL zdf_osm_pycnocline_shear_profiles( zdudz_pyc, zdvdz_pyc ) |
|---|
| 738 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 739 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
|---|
| 740 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 741 | CALL zdf_osm_diffusivity_viscosity( zdiffut, zviscos ) |
|---|
| 742 | |
|---|
| 743 | ! |
|---|
| 744 | ! calculate non-gradient components of the flux-gradient relationships |
|---|
| 745 | ! |
|---|
| 746 | ! Stokes term in scalar flux, flux-gradient relationship |
|---|
| 747 | WHERE ( lconv ) |
|---|
| 748 | zsc_wth_1 = zwstrl**3 * zwth0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln) |
|---|
| 749 | ! |
|---|
| 750 | zsc_ws_1 = zwstrl**3 * zws0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 751 | ELSEWHERE |
|---|
| 752 | zsc_wth_1 = 2.0 * zwthav |
|---|
| 753 | ! |
|---|
| 754 | zsc_ws_1 = 2.0 * zwsav |
|---|
| 755 | ENDWHERE |
|---|
| 756 | |
|---|
| 757 | |
|---|
| 758 | DO jj = 2, jpjm1 |
|---|
| 759 | DO ji = 2, jpim1 |
|---|
| 760 | IF ( lconv(ji,jj) ) THEN |
|---|
| 761 | DO jk = 2, imld(ji,jj) |
|---|
| 762 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 763 | 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) |
|---|
| 764 | ! |
|---|
| 765 | 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) |
|---|
| 766 | END DO ! end jk loop |
|---|
| 767 | ELSE ! else for if (lconv) |
|---|
| 768 | ! Stable conditions |
|---|
| 769 | DO jk = 2, ibld(ji,jj) |
|---|
| 770 | zznd_d=gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 771 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 2.15 * EXP ( -0.85 * zznd_d ) & |
|---|
| 772 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
|---|
| 773 | ! |
|---|
| 774 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 2.15 * EXP ( -0.85 * zznd_d ) & |
|---|
| 775 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
|---|
| 776 | END DO |
|---|
| 777 | ENDIF ! endif for check on lconv |
|---|
| 778 | |
|---|
| 779 | END DO ! end of ji loop |
|---|
| 780 | END DO ! end of jj loop |
|---|
| 781 | |
|---|
| 782 | ! 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) |
|---|
| 783 | WHERE ( lconv ) |
|---|
| 784 | 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 ) |
|---|
| 785 | zsc_uw_2 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MIN( zla**(8.0/3.0) + epsln, 0.12 ) |
|---|
| 786 | 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 ) |
|---|
| 787 | ELSEWHERE |
|---|
| 788 | zsc_uw_1 = zustar**2 |
|---|
| 789 | zsc_vw_1 = ff_t * zhbl * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / (zvstr**2 + epsln) |
|---|
| 790 | ENDWHERE |
|---|
| 791 | IF(ln_dia_osm) THEN |
|---|
| 792 | IF ( iom_use("ghamu_00") ) CALL iom_put( "ghamu_00", wmask*ghamu ) |
|---|
| 793 | IF ( iom_use("ghamv_00") ) CALL iom_put( "ghamv_00", wmask*ghamv ) |
|---|
| 794 | END IF |
|---|
| 795 | DO jj = 2, jpjm1 |
|---|
| 796 | DO ji = 2, jpim1 |
|---|
| 797 | IF ( lconv(ji,jj) ) THEN |
|---|
| 798 | DO jk = 2, imld(ji,jj) |
|---|
| 799 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 800 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05 * EXP ( -0.4 * zznd_d ) * zsc_uw_1(ji,jj) & |
|---|
| 801 | & + 0.00125 * EXP ( - zznd_d ) * zsc_uw_2(ji,jj) ) & |
|---|
| 802 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) |
|---|
| 803 | ! |
|---|
| 804 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65 * 0.15 * EXP ( - zznd_d ) & |
|---|
| 805 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_vw_1(ji,jj) |
|---|
| 806 | END DO ! end jk loop |
|---|
| 807 | ELSE |
|---|
| 808 | ! Stable conditions |
|---|
| 809 | DO jk = 2, ibld(ji,jj) ! corrected to ibld |
|---|
| 810 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 811 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75 * 1.3 * EXP ( -0.5 * zznd_d ) & |
|---|
| 812 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_uw_1(ji,jj) |
|---|
| 813 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0._wp |
|---|
| 814 | END DO ! end jk loop |
|---|
| 815 | ENDIF |
|---|
| 816 | END DO ! ji loop |
|---|
| 817 | END DO ! jj loo |
|---|
| 818 | |
|---|
| 819 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio (X0.3) and pressure (X0.5)] |
|---|
| 820 | |
|---|
| 821 | WHERE ( lconv ) |
|---|
| 822 | zsc_wth_1 = zwbav * zwth0 * ( 1.0 + EXP ( 0.2 * zhol ) ) * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 823 | zsc_ws_1 = zwbav * zws0 * ( 1.0 + EXP ( 0.2 * zhol ) ) * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 824 | ELSEWHERE |
|---|
| 825 | zsc_wth_1 = 0._wp |
|---|
| 826 | zsc_ws_1 = 0._wp |
|---|
| 827 | ENDWHERE |
|---|
| 828 | |
|---|
| 829 | DO jj = 2, jpjm1 |
|---|
| 830 | DO ji = 2, jpim1 |
|---|
| 831 | IF (lconv(ji,jj) ) THEN |
|---|
| 832 | DO jk = 2, imld(ji,jj) |
|---|
| 833 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 834 | ! calculate turbulent time scale |
|---|
| 835 | zl_c = 0.9 * ( 1.0 - EXP ( - 5.0 * ( zznd_ml + zznd_ml**3 / 3.0 ) ) ) & |
|---|
| 836 | & * ( 1.0 - EXP ( -15.0 * ( 1.2 - zznd_ml ) ) ) |
|---|
| 837 | zl_l = 2.0 * ( 1.0 - EXP ( - 2.0 * ( zznd_ml + zznd_ml**3 / 3.0 ) ) ) & |
|---|
| 838 | & * ( 1.0 - EXP ( - 8.0 * ( 1.15 - zznd_ml ) ) ) * ( 1.0 + dstokes(ji,jj) / zhml (ji,jj) ) |
|---|
| 839 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0 + EXP ( -3.0 * LOG10 ( - zhol(ji,jj) ) ) ) ** (3.0 / 2.0) |
|---|
| 840 | ! non-gradient buoyancy terms |
|---|
| 841 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * 0.4 * zsc_wth_1(ji,jj) * zl_eps / ( 0.15 + zznd_ml ) |
|---|
| 842 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * 0.4 * zsc_ws_1(ji,jj) * zl_eps / ( 0.15 + zznd_ml ) |
|---|
| 843 | END DO |
|---|
| 844 | |
|---|
| 845 | IF ( lpyc(ji,jj) ) THEN |
|---|
| 846 | ztau_sc_u(ji,jj) = zhml(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
|---|
| 847 | ztau_sc_u(ji,jj) = ztau_sc_u(ji,jj) * ( 1.4 -0.4 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) )**1.5 ) |
|---|
| 848 | zwth_ent = -0.003 * ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zdt_ml(ji,jj) |
|---|
| 849 | zws_ent = -0.003 * ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zds_ml(ji,jj) |
|---|
| 850 | ! Cubic profile used for buoyancy term |
|---|
| 851 | DO jk = 2, ibld(ji,jj) |
|---|
| 852 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
|---|
| 853 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - 0.045 * ( ( zwth_ent * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * MAX( ( 1.75 * zznd_pyc -0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ), 0.0 ) |
|---|
| 854 | |
|---|
| 855 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - 0.045 * ( ( zws_ent * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * MAX( ( 1.75 * zznd_pyc -0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ), 0.0 ) |
|---|
| 856 | END DO |
|---|
| 857 | ! |
|---|
| 858 | IF ( dh(ji,jj) < 0.2*hbl(ji,jj) ) THEN |
|---|
| 859 | zbuoy_pyc_sc = zalpha_pyc(ji,jj) * zdb_ml(ji,jj) / zdh(ji,jj) + zdbdz_bl_ext(ji,jj) |
|---|
| 860 | zdelta_pyc = ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird / SQRT( MAX( zbuoy_pyc_sc, ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**p2third / zdh(ji,jj)**2 ) ) |
|---|
| 861 | ! |
|---|
| 862 | zwt_pyc_sc_1 = 0.325 * ( zalpha_pyc(ji,jj) * zdt_ml(ji,jj) / zdh(ji,jj) + zdtdz_bl_ext(ji,jj) ) * zdelta_pyc**2 / zdh(ji,jj) |
|---|
| 863 | ! |
|---|
| 864 | zws_pyc_sc_1 = 0.325 * ( zalpha_pyc(ji,jj) * zds_ml(ji,jj) / zdh(ji,jj) + zdsdz_bl_ext(ji,jj) ) * zdelta_pyc**2 / zdh(ji,jj) |
|---|
| 865 | ! |
|---|
| 866 | zzeta_pyc = 0.15 - 0.175 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) ) |
|---|
| 867 | DO jk = 2, ibld(ji,jj) |
|---|
| 868 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
|---|
| 869 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.05 * zwt_pyc_sc_1 * EXP( -0.25 * ( zznd_pyc / zzeta_pyc )**2 ) * zdh(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
|---|
| 870 | ! |
|---|
| 871 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.05 * zws_pyc_sc_1 * EXP( -0.25 * ( zznd_pyc / zzeta_pyc )**2 ) * zdh(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
|---|
| 872 | END DO |
|---|
| 873 | END IF |
|---|
| 874 | ENDIF ! End of pycnocline |
|---|
| 875 | ELSE ! lconv test - stable conditions |
|---|
| 876 | DO jk = 2, ibld(ji,jj) |
|---|
| 877 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
|---|
| 878 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
|---|
| 879 | END DO |
|---|
| 880 | ENDIF |
|---|
| 881 | END DO ! ji loop |
|---|
| 882 | END DO ! jj loop |
|---|
| 883 | |
|---|
| 884 | WHERE ( lconv ) |
|---|
| 885 | zsc_uw_1 = -zwb0 * zustar**2 * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
|---|
| 886 | zsc_uw_2 = zwb0 * zustke * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln )**(2.0/3.0) |
|---|
| 887 | zsc_vw_1 = 0._wp |
|---|
| 888 | ELSEWHERE |
|---|
| 889 | zsc_uw_1 = 0._wp |
|---|
| 890 | zsc_vw_1 = 0._wp |
|---|
| 891 | ENDWHERE |
|---|
| 892 | |
|---|
| 893 | DO jj = 2, jpjm1 |
|---|
| 894 | DO ji = 2, jpim1 |
|---|
| 895 | IF ( lconv(ji,jj) ) THEN |
|---|
| 896 | DO jk = 2 , imld(ji,jj) |
|---|
| 897 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 898 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3 * 0.5 * ( zsc_uw_1(ji,jj) + 0.125 * EXP( -0.5 * zznd_d ) & |
|---|
| 899 | & * ( 1.0 - EXP( -0.5 * zznd_d ) ) & |
|---|
| 900 | & * zsc_uw_2(ji,jj) ) |
|---|
| 901 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
|---|
| 902 | END DO ! jk loop |
|---|
| 903 | ELSE |
|---|
| 904 | ! stable conditions |
|---|
| 905 | DO jk = 2, ibld(ji,jj) |
|---|
| 906 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
|---|
| 907 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
|---|
| 908 | END DO |
|---|
| 909 | ENDIF |
|---|
| 910 | END DO ! ji loop |
|---|
| 911 | END DO ! jj loop |
|---|
| 912 | |
|---|
| 913 | DO jj = 2, jpjm1 |
|---|
| 914 | DO ji = 2, jpim1 |
|---|
| 915 | IF( lconv(ji,jj) ) THEN |
|---|
| 916 | IF ( lpyc(ji,jj) ) THEN |
|---|
| 917 | IF ( j_ddh(ji,jj) == 0 ) THEN |
|---|
| 918 | ! Place holding code. Parametrization needs checking for these conditions. |
|---|
| 919 | zomega = ( 0.15 * zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.75 * ( zshear(ji,jj)* zhbl(ji,jj) ))**pthird |
|---|
| 920 | zuw_bse = -0.0035 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdu_ml(ji,jj) |
|---|
| 921 | zvw_bse = -0.0075 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdv_ml(ji,jj) |
|---|
| 922 | ELSE |
|---|
| 923 | zomega = ( 0.15 * zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.75 * ( zshear(ji,jj)* zhbl(ji,jj) ))**pthird |
|---|
| 924 | zuw_bse = -0.0035 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdu_ml(ji,jj) |
|---|
| 925 | zvw_bse = -0.0075 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdv_ml(ji,jj) |
|---|
| 926 | ENDIF |
|---|
| 927 | zd_cubic = zdh(ji,jj) / zhbl(ji,jj) * zuw0(ji,jj) - ( 2.0 + zdh(ji,jj) /zhml(ji,jj) ) * zuw_bse |
|---|
| 928 | zc_cubic = zuw_bse - zd_cubic |
|---|
| 929 | ! need ztau_sc_u to be available. Change to array. |
|---|
| 930 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 931 | zznd_pyc = - ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
|---|
| 932 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.045 * ( ztau_sc_u(ji,jj)**2 ) * zuw_bse * & |
|---|
| 933 | & ( zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) * ( 0.75 + 0.25 * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
|---|
| 934 | END DO |
|---|
| 935 | zvw_max = 0.7 * ff_t(ji,jj) * ( zustke(ji,jj) * dstokes(ji,jj) + 0.75 * zustar(ji,jj) * zhml(ji,jj) ) |
|---|
| 936 | zd_cubic = zvw_max * zdh(ji,jj) / zhml(ji,jj) - ( 2.0 + zdh(ji,jj) /zhml(ji,jj) ) * zvw_bse |
|---|
| 937 | zc_cubic = zvw_bse - zd_cubic |
|---|
| 938 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 939 | zznd_pyc = -( gdepw_n(ji,jj,jk) -zhbl(ji,jj) ) / zdh(ji,jj) |
|---|
| 940 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.045 * ( ztau_sc_u(ji,jj)**2 ) * zvw_bse * & |
|---|
| 941 | & ( zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) * ( 0.75 + 0.25 * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
|---|
| 942 | END DO |
|---|
| 943 | ENDIF ! lpyc |
|---|
| 944 | ENDIF ! lconv |
|---|
| 945 | END DO ! ji loop |
|---|
| 946 | END DO ! jj loop |
|---|
| 947 | |
|---|
| 948 | IF(ln_dia_osm) THEN |
|---|
| 949 | IF ( iom_use("ghamu_0") ) CALL iom_put( "ghamu_0", wmask*ghamu ) |
|---|
| 950 | IF ( iom_use("zsc_uw_1_0") ) CALL iom_put( "zsc_uw_1_0", tmask(:,:,1)*zsc_uw_1 ) |
|---|
| 951 | END IF |
|---|
| 952 | ! Transport term in flux-gradient relationship [note : includes ROI ratio (X0.3) ] |
|---|
| 953 | |
|---|
| 954 | DO jj = 1, jpjm1 |
|---|
| 955 | DO ji = 1, jpim1 |
|---|
| 956 | |
|---|
| 957 | IF ( lconv(ji,jj) ) THEN |
|---|
| 958 | zsc_wth_1(ji,jj) = zwth0(ji,jj) / ( 1.0 - 0.56 * EXP( zhol(ji,jj) ) ) |
|---|
| 959 | zsc_ws_1(ji,jj) = zws0(ji,jj) / (1.0 - 0.56 *EXP( zhol(ji,jj) ) ) |
|---|
| 960 | IF ( lpyc(ji,jj) ) THEN |
|---|
| 961 | ! Pycnocline scales |
|---|
| 962 | zsc_wth_pyc(ji,jj) = -0.003 * zwstrc(ji,jj) * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zdt_ml(ji,jj) |
|---|
| 963 | zsc_ws_pyc(ji,jj) = -0.003 * zwstrc(ji,jj) * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zds_ml(ji,jj) |
|---|
| 964 | ENDIF |
|---|
| 965 | ELSE |
|---|
| 966 | zsc_wth_1(ji,jj) = 2.0 * zwthav(ji,jj) |
|---|
| 967 | zsc_ws_1(ji,jj) = zws0(ji,jj) |
|---|
| 968 | ENDIF |
|---|
| 969 | END DO |
|---|
| 970 | END DO |
|---|
| 971 | |
|---|
| 972 | DO jj = 2, jpjm1 |
|---|
| 973 | DO ji = 2, jpim1 |
|---|
| 974 | IF ( lconv(ji,jj) ) THEN |
|---|
| 975 | DO jk = 2, imld(ji,jj) |
|---|
| 976 | zznd_ml=gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 977 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * zsc_wth_1(ji,jj) & |
|---|
| 978 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
|---|
| 979 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
|---|
| 980 | & * ( 1.0 - EXP( - 15.0 * ( 1.0 - zznd_ml ) ) ) |
|---|
| 981 | ! |
|---|
| 982 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * zsc_ws_1(ji,jj) & |
|---|
| 983 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
|---|
| 984 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
|---|
| 985 | & * ( 1.0 - EXP ( -15.0 * ( 1.0 - zznd_ml ) ) ) |
|---|
| 986 | END DO |
|---|
| 987 | ! |
|---|
| 988 | ! may need to comment out lpyc block |
|---|
| 989 | IF ( lpyc(ji,jj) ) THEN |
|---|
| 990 | ! pycnocline |
|---|
| 991 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 992 | zznd_pyc = - ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
|---|
| 993 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 4.0 * zsc_wth_pyc(ji,jj) * ( 0.48 - EXP( -1.5 * ( zznd_pyc -0.3)**2 ) ) |
|---|
| 994 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 4.0 * zsc_ws_pyc(ji,jj) * ( 0.48 - EXP( -1.5 * ( zznd_pyc -0.3)**2 ) ) |
|---|
| 995 | END DO |
|---|
| 996 | ENDIF |
|---|
| 997 | ELSE |
|---|
| 998 | IF( zdhdt(ji,jj) > 0. ) THEN |
|---|
| 999 | DO jk = 2, ibld(ji,jj) |
|---|
| 1000 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 1001 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 1002 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
|---|
| 1003 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_wth_1(ji,jj) |
|---|
| 1004 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
|---|
| 1005 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_ws_1(ji,jj) |
|---|
| 1006 | END DO |
|---|
| 1007 | ENDIF |
|---|
| 1008 | ENDIF |
|---|
| 1009 | ENDDO ! ji loop |
|---|
| 1010 | END DO ! jj loop |
|---|
| 1011 | |
|---|
| 1012 | WHERE ( lconv ) |
|---|
| 1013 | zsc_uw_1 = zustar**2 |
|---|
| 1014 | zsc_vw_1 = ff_t * zustke * zhml |
|---|
| 1015 | ELSEWHERE |
|---|
| 1016 | zsc_uw_1 = zustar**2 |
|---|
| 1017 | zsc_uw_2 = (2.25 - 3.0 * ( 1.0 - EXP( -1.25 * 2.0 ) ) ) * ( 1.0 - EXP( -4.0 * 2.0 ) ) * zsc_uw_1 |
|---|
| 1018 | zsc_vw_1 = ff_t * zustke * zhbl |
|---|
| 1019 | zsc_vw_2 = -0.11 * SIN( 3.14159 * ( 2.0 + 0.4 ) ) * EXP(-( 1.5 + 2.0 )**2 ) * zsc_vw_1 |
|---|
| 1020 | ENDWHERE |
|---|
| 1021 | |
|---|
| 1022 | DO jj = 2, jpjm1 |
|---|
| 1023 | DO ji = 2, jpim1 |
|---|
| 1024 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1025 | DO jk = 2, imld(ji,jj) |
|---|
| 1026 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 1027 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 1028 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
|---|
| 1029 | & + 0.3 * ( -2.0 + 2.5 * ( 1.0 + 0.1 * zznd_ml**4 ) - EXP ( -8.0 * zznd_ml ) ) * zsc_uw_1(ji,jj) |
|---|
| 1030 | ! |
|---|
| 1031 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 1032 | & + 0.3 * 0.1 * ( EXP( -zznd_d ) + EXP( -5.0 * ( 1.0 - zznd_ml ) ) ) * zsc_vw_1(ji,jj) |
|---|
| 1033 | END DO |
|---|
| 1034 | |
|---|
| 1035 | ELSE |
|---|
| 1036 | DO jk = 2, ibld(ji,jj) |
|---|
| 1037 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 1038 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
|---|
| 1039 | IF ( zznd_d <= 2.0 ) THEN |
|---|
| 1040 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5 * 0.3 & |
|---|
| 1041 | &* ( 2.25 - 3.0 * ( 1.0 - EXP( - 1.25 * zznd_d ) ) * ( 1.0 - EXP( -2.0 * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
|---|
| 1042 | ! |
|---|
| 1043 | ELSE |
|---|
| 1044 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
|---|
| 1045 | & + 0.5 * 0.3 * ( 1.0 - EXP( -5.0 * ( 1.0 - znd ) ) ) * zsc_uw_2(ji,jj) |
|---|
| 1046 | ! |
|---|
| 1047 | ENDIF |
|---|
| 1048 | |
|---|
| 1049 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 1050 | & + 0.3 * 0.15 * SIN( 3.14159 * ( 0.65 * zznd_d ) ) * EXP( -0.25 * zznd_d**2 ) * zsc_vw_1(ji,jj) |
|---|
| 1051 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
|---|
| 1052 | & + 0.3 * 0.15 * EXP( -5.0 * ( 1.0 - znd ) ) * ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
|---|
| 1053 | END DO |
|---|
| 1054 | ENDIF |
|---|
| 1055 | END DO |
|---|
| 1056 | END DO |
|---|
| 1057 | |
|---|
| 1058 | IF(ln_dia_osm) THEN |
|---|
| 1059 | IF ( iom_use("ghamu_f") ) CALL iom_put( "ghamu_f", wmask*ghamu ) |
|---|
| 1060 | IF ( iom_use("ghamv_f") ) CALL iom_put( "ghamv_f", wmask*ghamv ) |
|---|
| 1061 | IF ( iom_use("zsc_uw_1_f") ) CALL iom_put( "zsc_uw_1_f", tmask(:,:,1)*zsc_uw_1 ) |
|---|
| 1062 | IF ( iom_use("zsc_vw_1_f") ) CALL iom_put( "zsc_vw_1_f", tmask(:,:,1)*zsc_vw_1 ) |
|---|
| 1063 | IF ( iom_use("zsc_uw_2_f") ) CALL iom_put( "zsc_uw_2_f", tmask(:,:,1)*zsc_uw_2 ) |
|---|
| 1064 | IF ( iom_use("zsc_vw_2_f") ) CALL iom_put( "zsc_vw_2_f", tmask(:,:,1)*zsc_vw_2 ) |
|---|
| 1065 | END IF |
|---|
| 1066 | ! |
|---|
| 1067 | ! Make surface forced velocity non-gradient terms go to zero at the base of the mixed layer. |
|---|
| 1068 | |
|---|
| 1069 | |
|---|
| 1070 | ! Make surface forced velocity non-gradient terms go to zero at the base of the boundary layer. |
|---|
| 1071 | |
|---|
| 1072 | DO jj = 2, jpjm1 |
|---|
| 1073 | DO ji = 2, jpim1 |
|---|
| 1074 | IF ( .not. lconv(ji,jj) ) THEN |
|---|
| 1075 | DO jk = 2, ibld(ji,jj) |
|---|
| 1076 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zhbl(ji,jj) !ALMG to think about |
|---|
| 1077 | IF ( znd >= 0.0 ) THEN |
|---|
| 1078 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
|---|
| 1079 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
|---|
| 1080 | ELSE |
|---|
| 1081 | ghamu(ji,jj,jk) = 0._wp |
|---|
| 1082 | ghamv(ji,jj,jk) = 0._wp |
|---|
| 1083 | ENDIF |
|---|
| 1084 | END DO |
|---|
| 1085 | ENDIF |
|---|
| 1086 | END DO |
|---|
| 1087 | END DO |
|---|
| 1088 | |
|---|
| 1089 | ! pynocline contributions |
|---|
| 1090 | DO jj = 2, jpjm1 |
|---|
| 1091 | DO ji = 2, jpim1 |
|---|
| 1092 | IF ( .not. lconv(ji,jj) ) THEN |
|---|
| 1093 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
|---|
| 1094 | DO jk= 2, ibld(ji,jj) |
|---|
| 1095 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zdiffut(ji,jj,jk) * zdtdz_pyc(ji,jj,jk) |
|---|
| 1096 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zdiffut(ji,jj,jk) * zdsdz_pyc(ji,jj,jk) |
|---|
| 1097 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zviscos(ji,jj,jk) * zdudz_pyc(ji,jj,jk) |
|---|
| 1098 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zviscos(ji,jj,jk) * zdvdz_pyc(ji,jj,jk) |
|---|
| 1099 | END DO |
|---|
| 1100 | END IF |
|---|
| 1101 | END IF |
|---|
| 1102 | END DO |
|---|
| 1103 | END DO |
|---|
| 1104 | IF(ln_dia_osm) THEN |
|---|
| 1105 | IF ( iom_use("ghamu_b") ) CALL iom_put( "ghamu_b", wmask*ghamu ) |
|---|
| 1106 | IF ( iom_use("ghamv_b") ) CALL iom_put( "ghamv_b", wmask*ghamv ) |
|---|
| 1107 | END IF |
|---|
| 1108 | |
|---|
| 1109 | DO jj=2, jpjm1 |
|---|
| 1110 | DO ji = 2, jpim1 |
|---|
| 1111 | ghamt(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1112 | ghams(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1113 | ghamu(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1114 | ghamv(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1115 | END DO ! ji loop |
|---|
| 1116 | END DO ! jj loop |
|---|
| 1117 | |
|---|
| 1118 | IF(ln_dia_osm) THEN |
|---|
| 1119 | IF ( iom_use("ghamu_1") ) CALL iom_put( "ghamu_1", wmask*ghamu ) |
|---|
| 1120 | IF ( iom_use("ghamv_1") ) CALL iom_put( "ghamv_1", wmask*ghamv ) |
|---|
| 1121 | IF ( iom_use("zdudz_pyc") ) CALL iom_put( "zdudz_pyc", wmask*zdudz_pyc ) |
|---|
| 1122 | IF ( iom_use("zdvdz_pyc") ) CALL iom_put( "zdvdz_pyc", wmask*zdvdz_pyc ) |
|---|
| 1123 | IF ( iom_use("zviscos") ) CALL iom_put( "zviscos", wmask*zviscos ) |
|---|
| 1124 | END IF |
|---|
| 1125 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 1126 | ! Need to put in code for contributions that are applied explicitly to |
|---|
| 1127 | ! the prognostic variables |
|---|
| 1128 | ! 1. Entrainment flux |
|---|
| 1129 | ! |
|---|
| 1130 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 1131 | |
|---|
| 1132 | |
|---|
| 1133 | |
|---|
| 1134 | ! rotate non-gradient velocity terms back to model reference frame |
|---|
| 1135 | |
|---|
| 1136 | DO jj = 2, jpjm1 |
|---|
| 1137 | DO ji = 2, jpim1 |
|---|
| 1138 | DO jk = 2, ibld(ji,jj) |
|---|
| 1139 | ztemp = ghamu(ji,jj,jk) |
|---|
| 1140 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * zcos_wind(ji,jj) - ghamv(ji,jj,jk) * zsin_wind(ji,jj) |
|---|
| 1141 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * zcos_wind(ji,jj) + ztemp * zsin_wind(ji,jj) |
|---|
| 1142 | END DO |
|---|
| 1143 | END DO |
|---|
| 1144 | END DO |
|---|
| 1145 | |
|---|
| 1146 | IF(ln_dia_osm) THEN |
|---|
| 1147 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
|---|
| 1148 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
|---|
| 1149 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
|---|
| 1150 | END IF |
|---|
| 1151 | |
|---|
| 1152 | ! KPP-style Ri# mixing |
|---|
| 1153 | IF( ln_kpprimix) THEN |
|---|
| 1154 | DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form) |
|---|
| 1155 | DO jj = 1, jpjm1 |
|---|
| 1156 | DO ji = 1, jpim1 ! vector opt. |
|---|
| 1157 | z3du(ji,jj,jk) = 0.5 * ( un(ji,jj,jk-1) - un(ji ,jj,jk) ) & |
|---|
| 1158 | & * ( ub(ji,jj,jk-1) - ub(ji ,jj,jk) ) * wumask(ji,jj,jk) & |
|---|
| 1159 | & / ( e3uw_n(ji,jj,jk) * e3uw_b(ji,jj,jk) ) |
|---|
| 1160 | z3dv(ji,jj,jk) = 0.5 * ( vn(ji,jj,jk-1) - vn(ji,jj ,jk) ) & |
|---|
| 1161 | & * ( vb(ji,jj,jk-1) - vb(ji,jj ,jk) ) * wvmask(ji,jj,jk) & |
|---|
| 1162 | & / ( e3vw_n(ji,jj,jk) * e3vw_b(ji,jj,jk) ) |
|---|
| 1163 | END DO |
|---|
| 1164 | END DO |
|---|
| 1165 | END DO |
|---|
| 1166 | ! |
|---|
| 1167 | DO jk = 2, jpkm1 |
|---|
| 1168 | DO jj = 2, jpjm1 |
|---|
| 1169 | DO ji = 2, jpim1 ! vector opt. |
|---|
| 1170 | ! ! shear prod. at w-point weightened by mask |
|---|
| 1171 | zesh2 = ( z3du(ji-1,jj,jk) + z3du(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) & |
|---|
| 1172 | & + ( z3dv(ji,jj-1,jk) + z3dv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
|---|
| 1173 | ! ! local Richardson number |
|---|
| 1174 | zri = MAX( rn2b(ji,jj,jk), 0._wp ) / MAX(zesh2, epsln) |
|---|
| 1175 | zfri = MIN( zri / rn_riinfty , 1.0_wp ) |
|---|
| 1176 | zfri = ( 1.0_wp - zfri * zfri ) |
|---|
| 1177 | zrimix(ji,jj,jk) = zfri * zfri * zfri * wmask(ji, jj, jk) |
|---|
| 1178 | END DO |
|---|
| 1179 | END DO |
|---|
| 1180 | END DO |
|---|
| 1181 | |
|---|
| 1182 | DO jj = 2, jpjm1 |
|---|
| 1183 | DO ji = 2, jpim1 |
|---|
| 1184 | DO jk = ibld(ji,jj) + 1, jpkm1 |
|---|
| 1185 | zdiffut(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
|---|
| 1186 | zviscos(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
|---|
| 1187 | END DO |
|---|
| 1188 | END DO |
|---|
| 1189 | END DO |
|---|
| 1190 | |
|---|
| 1191 | END IF ! ln_kpprimix = .true. |
|---|
| 1192 | |
|---|
| 1193 | ! KPP-style set diffusivity large if unstable below BL |
|---|
| 1194 | IF( ln_convmix) THEN |
|---|
| 1195 | DO jj = 2, jpjm1 |
|---|
| 1196 | DO ji = 2, jpim1 |
|---|
| 1197 | DO jk = ibld(ji,jj) + 1, jpkm1 |
|---|
| 1198 | IF( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1.e-12 ) zdiffut(ji,jj,jk) = rn_difconv |
|---|
| 1199 | END DO |
|---|
| 1200 | END DO |
|---|
| 1201 | END DO |
|---|
| 1202 | END IF ! ln_convmix = .true. |
|---|
| 1203 | |
|---|
| 1204 | |
|---|
| 1205 | |
|---|
| 1206 | IF ( ln_osm_mle ) THEN ! set up diffusivity and non-gradient mixing |
|---|
| 1207 | DO jj = 2 , jpjm1 |
|---|
| 1208 | DO ji = 2, jpim1 |
|---|
| 1209 | IF ( lflux(ji,jj) ) THEN ! MLE mixing extends below boundary layer |
|---|
| 1210 | ! Calculate MLE flux contribution from surface fluxes |
|---|
| 1211 | DO jk = 1, ibld(ji,jj) |
|---|
| 1212 | znd = gdepw_n(ji,jj,jk) / MAX(zhbl(ji,jj),epsln) |
|---|
| 1213 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - ( zwth0(ji,jj) - zrad0(ji,jj) ) * ( 1.0 - znd ) |
|---|
| 1214 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - zws0(ji,jj) * ( 1.0 - znd ) |
|---|
| 1215 | END DO |
|---|
| 1216 | DO jk = 1, mld_prof(ji,jj) |
|---|
| 1217 | znd = gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
|---|
| 1218 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + ( zwth0(ji,jj) - zrad0(ji,jj) ) * ( 1.0 - znd ) |
|---|
| 1219 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws0(ji,jj) * ( 1.0 -znd ) |
|---|
| 1220 | END DO |
|---|
| 1221 | ! Viscosity for MLEs |
|---|
| 1222 | DO jk = 1, mld_prof(ji,jj) |
|---|
| 1223 | znd = -gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
|---|
| 1224 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + 5.0 / 21.0 * ( 2.0 * znd + 1.0 )** 2 ) |
|---|
| 1225 | END DO |
|---|
| 1226 | ELSE |
|---|
| 1227 | ! Surface transports limited to OSBL. |
|---|
| 1228 | ! Viscosity for MLEs |
|---|
| 1229 | DO jk = 1, mld_prof(ji,jj) |
|---|
| 1230 | znd = -gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
|---|
| 1231 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + 5.0 / 21.0 * ( 2.0 * znd + 1.0 )** 2 ) |
|---|
| 1232 | END DO |
|---|
| 1233 | ENDIF |
|---|
| 1234 | END DO |
|---|
| 1235 | END DO |
|---|
| 1236 | ENDIF |
|---|
| 1237 | |
|---|
| 1238 | IF(ln_dia_osm) THEN |
|---|
| 1239 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
|---|
| 1240 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
|---|
| 1241 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
|---|
| 1242 | END IF |
|---|
| 1243 | |
|---|
| 1244 | |
|---|
| 1245 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
|---|
| 1246 | !CALL lbc_lnk( zviscos(:,:,:), 'W', 1. ) |
|---|
| 1247 | |
|---|
| 1248 | ! GN 25/8: need to change tmask --> wmask |
|---|
| 1249 | |
|---|
| 1250 | DO jk = 2, jpkm1 |
|---|
| 1251 | DO jj = 2, jpjm1 |
|---|
| 1252 | DO ji = 2, jpim1 |
|---|
| 1253 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1254 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1255 | END DO |
|---|
| 1256 | END DO |
|---|
| 1257 | END DO |
|---|
| 1258 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and v grids |
|---|
| 1259 | CALL lbc_lnk_multi( 'zdfosm', p_avt, 'W', 1. , p_avm, 'W', 1., & |
|---|
| 1260 | & ghamu, 'W', 1. , ghamv, 'W', 1. ) |
|---|
| 1261 | DO jk = 2, jpkm1 |
|---|
| 1262 | DO jj = 2, jpjm1 |
|---|
| 1263 | DO ji = 2, jpim1 |
|---|
| 1264 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) & |
|---|
| 1265 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
|---|
| 1266 | |
|---|
| 1267 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) & |
|---|
| 1268 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
|---|
| 1269 | |
|---|
| 1270 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1271 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1272 | END DO |
|---|
| 1273 | END DO |
|---|
| 1274 | END DO |
|---|
| 1275 | ! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged) |
|---|
| 1276 | CALL lbc_lnk_multi( 'zdfosm', hbl, 'T', 1., dh, 'T', 1., hmle, 'T', 1. ) |
|---|
| 1277 | ! Lateral boundary conditions on final outputs for gham[ts], on W-grid (sign unchanged) |
|---|
| 1278 | ! Lateral boundary conditions on final outputs for gham[uv], on [UV]-grid (sign unchanged) |
|---|
| 1279 | CALL lbc_lnk_multi( 'zdfosm', ghamt, 'W', 1. , ghams, 'W', 1., & |
|---|
| 1280 | & ghamu, 'U', -1. , ghamv, 'V', -1. ) |
|---|
| 1281 | |
|---|
| 1282 | IF(ln_dia_osm) THEN |
|---|
| 1283 | SELECT CASE (nn_osm_wave) |
|---|
| 1284 | ! Stokes drift set by assumimg onstant La#=0.3(=0) or Pierson-Moskovitz spectrum (=1). |
|---|
| 1285 | CASE(0:1) |
|---|
| 1286 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", tmask(:,:,1)*zustke*zcos_wind ) ! x surface Stokes drift |
|---|
| 1287 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", tmask(:,:,1)*zustke*zsin_wind ) ! y surface Stokes drift |
|---|
| 1288 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
|---|
| 1289 | ! Stokes drift read in from sbcwave (=2). |
|---|
| 1290 | CASE(2:3) |
|---|
| 1291 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", ut0sd*umask(:,:,1) ) ! x surface Stokes drift |
|---|
| 1292 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", vt0sd*vmask(:,:,1) ) ! y surface Stokes drift |
|---|
| 1293 | IF ( iom_use("wmp") ) CALL iom_put( "wmp", wmp*tmask(:,:,1) ) ! wave mean period |
|---|
| 1294 | IF ( iom_use("hsw") ) CALL iom_put( "hsw", hsw*tmask(:,:,1) ) ! significant wave height |
|---|
| 1295 | 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 |
|---|
| 1296 | IF ( iom_use("hsw_NP") ) CALL iom_put( "hsw_NP", (0.22/grav)*wndm**2*tmask(:,:,1) ) ! significant wave height from NP spectrum |
|---|
| 1297 | IF ( iom_use("wndm") ) CALL iom_put( "wndm", wndm*tmask(:,:,1) ) ! U_10 |
|---|
| 1298 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2* & |
|---|
| 1299 | & SQRT(ut0sd**2 + vt0sd**2 ) ) |
|---|
| 1300 | END SELECT |
|---|
| 1301 | IF ( iom_use("ghamt") ) CALL iom_put( "ghamt", tmask*ghamt ) ! <Tw_NL> |
|---|
| 1302 | IF ( iom_use("ghams") ) CALL iom_put( "ghams", tmask*ghams ) ! <Sw_NL> |
|---|
| 1303 | IF ( iom_use("ghamu") ) CALL iom_put( "ghamu", umask*ghamu ) ! <uw_NL> |
|---|
| 1304 | IF ( iom_use("ghamv") ) CALL iom_put( "ghamv", vmask*ghamv ) ! <vw_NL> |
|---|
| 1305 | IF ( iom_use("zwth0") ) CALL iom_put( "zwth0", tmask(:,:,1)*zwth0 ) ! <Tw_0> |
|---|
| 1306 | IF ( iom_use("zws0") ) CALL iom_put( "zws0", tmask(:,:,1)*zws0 ) ! <Sw_0> |
|---|
| 1307 | IF ( iom_use("zwb0") ) CALL iom_put( "zwb0", tmask(:,:,1)*zwb0 ) ! <Sw_0> |
|---|
| 1308 | IF ( iom_use("zwbav") ) CALL iom_put( "zwbav", tmask(:,:,1)*zwthav ) ! upward BL-avged turb buoyancy flux |
|---|
| 1309 | IF ( iom_use("hbl") ) CALL iom_put( "hbl", tmask(:,:,1)*hbl ) ! boundary-layer depth |
|---|
| 1310 | IF ( iom_use("ibld") ) CALL iom_put( "ibld", tmask(:,:,1)*ibld ) ! boundary-layer max k |
|---|
| 1311 | IF ( iom_use("zdt_bl") ) CALL iom_put( "zdt_bl", tmask(:,:,1)*zdt_bl ) ! dt at ml base |
|---|
| 1312 | IF ( iom_use("zds_bl") ) CALL iom_put( "zds_bl", tmask(:,:,1)*zds_bl ) ! ds at ml base |
|---|
| 1313 | IF ( iom_use("zdb_bl") ) CALL iom_put( "zdb_bl", tmask(:,:,1)*zdb_bl ) ! db at ml base |
|---|
| 1314 | IF ( iom_use("zdu_bl") ) CALL iom_put( "zdu_bl", tmask(:,:,1)*zdu_bl ) ! du at ml base |
|---|
| 1315 | IF ( iom_use("zdv_bl") ) CALL iom_put( "zdv_bl", tmask(:,:,1)*zdv_bl ) ! dv at ml base |
|---|
| 1316 | IF ( iom_use("dh") ) CALL iom_put( "dh", tmask(:,:,1)*dh ) ! Initial boundary-layer depth |
|---|
| 1317 | IF ( iom_use("hml") ) CALL iom_put( "hml", tmask(:,:,1)*hml ) ! Initial boundary-layer depth |
|---|
| 1318 | IF ( iom_use("zdt_ml") ) CALL iom_put( "zdt_ml", tmask(:,:,1)*zdt_ml ) ! dt at ml base |
|---|
| 1319 | IF ( iom_use("zds_ml") ) CALL iom_put( "zds_ml", tmask(:,:,1)*zds_ml ) ! ds at ml base |
|---|
| 1320 | IF ( iom_use("zdb_ml") ) CALL iom_put( "zdb_ml", tmask(:,:,1)*zdb_ml ) ! db at ml base |
|---|
| 1321 | IF ( iom_use("dstokes") ) CALL iom_put( "dstokes", tmask(:,:,1)*dstokes ) ! Stokes drift penetration depth |
|---|
| 1322 | IF ( iom_use("zustke") ) CALL iom_put( "zustke", tmask(:,:,1)*zustke ) ! Stokes drift magnitude at T-points |
|---|
| 1323 | IF ( iom_use("zwstrc") ) CALL iom_put( "zwstrc", tmask(:,:,1)*zwstrc ) ! convective velocity scale |
|---|
| 1324 | IF ( iom_use("zwstrl") ) CALL iom_put( "zwstrl", tmask(:,:,1)*zwstrl ) ! Langmuir velocity scale |
|---|
| 1325 | IF ( iom_use("zustar") ) CALL iom_put( "zustar", tmask(:,:,1)*zustar ) ! friction velocity scale |
|---|
| 1326 | IF ( iom_use("zvstr") ) CALL iom_put( "zvstr", tmask(:,:,1)*zvstr ) ! mixed velocity scale |
|---|
| 1327 | IF ( iom_use("zla") ) CALL iom_put( "zla", tmask(:,:,1)*zla ) ! langmuir # |
|---|
| 1328 | IF ( iom_use("wind_power") ) CALL iom_put( "wind_power", 1000.*rau0*tmask(:,:,1)*zustar**3 ) ! BL depth internal to zdf_osm routine |
|---|
| 1329 | IF ( iom_use("wind_wave_power") ) CALL iom_put( "wind_wave_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
|---|
| 1330 | IF ( iom_use("zhbl") ) CALL iom_put( "zhbl", tmask(:,:,1)*zhbl ) ! BL depth internal to zdf_osm routine |
|---|
| 1331 | IF ( iom_use("zhml") ) CALL iom_put( "zhml", tmask(:,:,1)*zhml ) ! ML depth internal to zdf_osm routine |
|---|
| 1332 | IF ( iom_use("imld") ) CALL iom_put( "imld", tmask(:,:,1)*imld ) ! index for ML depth internal to zdf_osm routine |
|---|
| 1333 | IF ( iom_use("jp_ext") ) CALL iom_put( "jp_ext", tmask(:,:,1)*jp_ext ) ! =1 if pycnocline resolved internal to zdf_osm routine |
|---|
| 1334 | IF ( iom_use("j_ddh") ) CALL iom_put( "j_ddh", tmask(:,:,1)*j_ddh ) ! index forpyc thicknessh internal to zdf_osm routine |
|---|
| 1335 | IF ( iom_use("zshear") ) CALL iom_put( "zshear", tmask(:,:,1)*zshear ) ! shear production of TKE internal to zdf_osm routine |
|---|
| 1336 | IF ( iom_use("zdh") ) CALL iom_put( "zdh", tmask(:,:,1)*zdh ) ! pyc thicknessh internal to zdf_osm routine |
|---|
| 1337 | IF ( iom_use("zhol") ) CALL iom_put( "zhol", tmask(:,:,1)*zhol ) ! ML depth internal to zdf_osm routine |
|---|
| 1338 | IF ( iom_use("zwth_ent") ) CALL iom_put( "zwth_ent", tmask(:,:,1)*zwth_ent ) ! upward turb temp entrainment flux |
|---|
| 1339 | IF ( iom_use("zwb_ent") ) CALL iom_put( "zwb_ent", tmask(:,:,1)*zwb_ent ) ! upward turb buoyancy entrainment flux |
|---|
| 1340 | IF ( iom_use("zws_ent") ) CALL iom_put( "zws_ent", tmask(:,:,1)*zws_ent ) ! upward turb salinity entrainment flux |
|---|
| 1341 | IF ( iom_use("zt_ml") ) CALL iom_put( "zt_ml", tmask(:,:,1)*zt_ml ) ! average T in ML |
|---|
| 1342 | |
|---|
| 1343 | IF ( iom_use("hmle") ) CALL iom_put( "hmle", tmask(:,:,1)*hmle ) ! FK layer depth |
|---|
| 1344 | IF ( iom_use("zmld") ) CALL iom_put( "zmld", tmask(:,:,1)*zmld ) ! FK target layer depth |
|---|
| 1345 | IF ( iom_use("zwb_fk") ) CALL iom_put( "zwb_fk", tmask(:,:,1)*zwb_fk ) ! FK b flux |
|---|
| 1346 | IF ( iom_use("zwb_fk_b") ) CALL iom_put( "zwb_fk_b", tmask(:,:,1)*zwb_fk_b ) ! FK b flux averaged over ML |
|---|
| 1347 | IF ( iom_use("mld_prof") ) CALL iom_put( "mld_prof", tmask(:,:,1)*mld_prof )! FK layer max k |
|---|
| 1348 | IF ( iom_use("zdtdx") ) CALL iom_put( "zdtdx", umask(:,:,1)*zdtdx ) ! FK dtdx at u-pt |
|---|
| 1349 | IF ( iom_use("zdtdy") ) CALL iom_put( "zdtdy", vmask(:,:,1)*zdtdy ) ! FK dtdy at v-pt |
|---|
| 1350 | IF ( iom_use("zdsdx") ) CALL iom_put( "zdsdx", umask(:,:,1)*zdsdx ) ! FK dtdx at u-pt |
|---|
| 1351 | IF ( iom_use("zdsdy") ) CALL iom_put( "zdsdy", vmask(:,:,1)*zdsdy ) ! FK dsdy at v-pt |
|---|
| 1352 | IF ( iom_use("dbdx_mle") ) CALL iom_put( "dbdx_mle", umask(:,:,1)*dbdx_mle ) ! FK dbdx at u-pt |
|---|
| 1353 | IF ( iom_use("dbdy_mle") ) CALL iom_put( "dbdy_mle", vmask(:,:,1)*dbdy_mle ) ! FK dbdy at v-pt |
|---|
| 1354 | IF ( iom_use("zdiff_mle") ) CALL iom_put( "zdiff_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
|---|
| 1355 | IF ( iom_use("zvel_mle") ) CALL iom_put( "zvel_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
|---|
| 1356 | |
|---|
| 1357 | END IF |
|---|
| 1358 | |
|---|
| 1359 | CONTAINS |
|---|
| 1360 | ! subroutine code changed, needs syntax checking. |
|---|
| 1361 | SUBROUTINE zdf_osm_diffusivity_viscosity( zdiffut, zviscos ) |
|---|
| 1362 | |
|---|
| 1363 | !!--------------------------------------------------------------------- |
|---|
| 1364 | !! *** ROUTINE zdf_osm_diffusivity_viscosity *** |
|---|
| 1365 | !! |
|---|
| 1366 | !! ** Purpose : Determines the eddy diffusivity and eddy viscosity profiles in the mixed layer and the pycnocline. |
|---|
| 1367 | !! |
|---|
| 1368 | !! ** Method : |
|---|
| 1369 | !! |
|---|
| 1370 | !! !!---------------------------------------------------------------------- |
|---|
| 1371 | REAL(wp), DIMENSION(:,:,:) :: zdiffut |
|---|
| 1372 | REAL(wp), DIMENSION(:,:,:) :: zviscos |
|---|
| 1373 | ! local |
|---|
| 1374 | |
|---|
| 1375 | ! Scales used to calculate eddy diffusivity and viscosity profiles |
|---|
| 1376 | REAL(wp), DIMENSION(jpi,jpj) :: zdifml_sc, zvisml_sc |
|---|
| 1377 | REAL(wp), DIMENSION(jpi,jpj) :: zdifpyc_n_sc, zdifpyc_s_sc, zdifpyc_shr |
|---|
| 1378 | REAL(wp), DIMENSION(jpi,jpj) :: zvispyc_n_sc, zvispyc_s_sc,zvispyc_shr |
|---|
| 1379 | REAL(wp), DIMENSION(jpi,jpj) :: zbeta_d_sc, zbeta_v_sc |
|---|
| 1380 | ! |
|---|
| 1381 | REAL(wp) :: zvel_sc_pyc, zvel_sc_ml, zstab_fac |
|---|
| 1382 | |
|---|
| 1383 | REAL(wp), PARAMETER :: rn_dif_ml = 0.8, rn_vis_ml = 0.375 |
|---|
| 1384 | REAL(wp), PARAMETER :: rn_dif_pyc = 0.15, rn_vis_pyc = 0.142 |
|---|
| 1385 | REAL(wp), PARAMETER :: rn_vispyc_shr = 0.15 |
|---|
| 1386 | |
|---|
| 1387 | DO jj = 2, jpjm1 |
|---|
| 1388 | DO ji = 2, jpim1 |
|---|
| 1389 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1390 | |
|---|
| 1391 | zvel_sc_pyc = ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.25 * zshear(ji,jj) * zhbl(ji,jj) )**pthird |
|---|
| 1392 | zvel_sc_ml = ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 1393 | zstab_fac = ( zhml(ji,jj) / zvel_sc_ml * ( 1.4 - 0.4 / ( 1.0 + EXP(-3.5 * LOG10(-zhol(ji,jj) ) ) )**1.25 ) )**2 |
|---|
| 1394 | |
|---|
| 1395 | zdifml_sc(ji,jj) = rn_dif_ml * zhml(ji,jj) * zvel_sc_ml |
|---|
| 1396 | zvisml_sc(ji,jj) = rn_vis_ml * zdifml_sc(ji,jj) |
|---|
| 1397 | |
|---|
| 1398 | IF ( lpyc(ji,jj) ) THEN |
|---|
| 1399 | zdifpyc_n_sc(ji,jj) = rn_dif_pyc * zvel_sc_ml * zdh(ji,jj) |
|---|
| 1400 | |
|---|
| 1401 | IF ( lshear(ji,jj) .AND. j_ddh(ji,jj) /= 2 ) THEN |
|---|
| 1402 | zdifpyc_n_sc(ji,jj) = zdifpyc_n_sc(ji,jj) + rn_vispyc_shr * ( zshear(ji,jj) * zhbl(ji,jj) )**pthird * zhbl(ji,jj) |
|---|
| 1403 | ENDIF |
|---|
| 1404 | |
|---|
| 1405 | zdifpyc_s_sc(ji,jj) = zwb_ent(ji,jj) + 0.0025 * zvel_sc_pyc * ( zhbl(ji,jj) / zdh(ji,jj) - 1.0 ) * ( zb_ml(ji,jj) - zb_bl(ji,jj) ) |
|---|
| 1406 | zdifpyc_s_sc(ji,jj) = 0.09 * zdifpyc_s_sc(ji,jj) * zstab_fac |
|---|
| 1407 | zdifpyc_s_sc(ji,jj) = MAX( zdifpyc_s_sc(ji,jj), -0.5 * zdifpyc_n_sc(ji,jj) ) |
|---|
| 1408 | |
|---|
| 1409 | zvispyc_n_sc(ji,jj) = 0.09 * zvel_sc_pyc * ( 1.0 - zhbl(ji,jj) / zdh(ji,jj) )**2 * ( 0.005 * ( zu_ml(ji,jj)-zu_bl(ji,jj) )**2 + 0.0075 * ( zv_ml(ji,jj)-zv_bl(ji,jj) )**2 ) / zdh(ji,jj) |
|---|
| 1410 | zvispyc_n_sc(ji,jj) = rn_vis_pyc * zvel_sc_ml * zdh(ji,jj) + zvispyc_n_sc(ji,jj) * zstab_fac |
|---|
| 1411 | IF ( lshear(ji,jj) .AND. j_ddh(ji,jj) /= 2 ) THEN |
|---|
| 1412 | zvispyc_n_sc(ji,jj) = zvispyc_n_sc(ji,jj) + rn_vispyc_shr * ( zshear(ji,jj) * zhbl(ji,jj ) )**pthird * zhbl(ji,jj) |
|---|
| 1413 | ENDIF |
|---|
| 1414 | |
|---|
| 1415 | zvispyc_s_sc(ji,jj) = 0.09 * ( zwb_min(ji,jj) + 0.0025 * zvel_sc_pyc * ( zhbl(ji,jj) / zdh(ji,jj) - 1.0 ) * ( zb_ml(ji,jj) - zb_bl(ji,jj) ) ) |
|---|
| 1416 | zvispyc_s_sc(ji,jj) = zvispyc_s_sc(ji,jj) * zstab_fac |
|---|
| 1417 | zvispyc_s_sc(ji,jj) = MAX( zvispyc_s_sc(ji,jj), -0.5 * zvispyc_n_sc(ji,jj) ) |
|---|
| 1418 | |
|---|
| 1419 | zbeta_d_sc(ji,jj) = 1.0 - ( ( zdifpyc_n_sc(ji,jj) + 1.4 * zdifpyc_s_sc(ji,jj) ) / ( zdifml_sc(ji,jj) + epsln ) )**p2third |
|---|
| 1420 | zbeta_v_sc(ji,jj) = 1.0 - 2.0 * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / ( zvisml_sc(ji,jj) + epsln ) |
|---|
| 1421 | ELSE |
|---|
| 1422 | zbeta_d_sc(ji,jj) = 1.0 |
|---|
| 1423 | zbeta_v_sc(ji,jj) = 1.0 |
|---|
| 1424 | ENDIF |
|---|
| 1425 | ELSE |
|---|
| 1426 | zdifml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * MAX( EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
|---|
| 1427 | zvisml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * MAX( EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
|---|
| 1428 | END IF |
|---|
| 1429 | END DO |
|---|
| 1430 | END DO |
|---|
| 1431 | ! |
|---|
| 1432 | DO jj = 2, jpjm1 |
|---|
| 1433 | DO ji = 2, jpim1 |
|---|
| 1434 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1435 | DO jk = 2, imld(ji,jj) ! mixed layer diffusivity |
|---|
| 1436 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
|---|
| 1437 | ! |
|---|
| 1438 | zdiffut(ji,jj,jk) = zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
|---|
| 1439 | ! |
|---|
| 1440 | zviscos(ji,jj,jk) = zvisml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_v_sc(ji,jj) * zznd_ml ) & |
|---|
| 1441 | & * ( 1.0 - 0.5 * zznd_ml**2 ) |
|---|
| 1442 | END DO |
|---|
| 1443 | ! pycnocline |
|---|
| 1444 | IF ( lpyc(ji,jj) ) THEN |
|---|
| 1445 | ! Diffusivity profile in the pycnocline given by cubic polynomial. |
|---|
| 1446 | za_cubic = 0.5 |
|---|
| 1447 | zb_cubic = -1.75 * zdifpyc_s_sc(ji,jj) / zdifpyc_n_sc(ji,jj) |
|---|
| 1448 | zd_cubic = ( zdh(ji,jj) * zdifml_sc(ji,jj) / zhml(ji,jj) * SQRT( 1.0 - zbeta_d_sc(ji,jj) ) * ( 2.5 * zbeta_d_sc(ji,jj) - 1.0 ) & |
|---|
| 1449 | & - 0.85 * zdifpyc_s_sc(ji,jj) ) / MAX(zdifpyc_n_sc(ji,jj), 1.e-8) |
|---|
| 1450 | zd_cubic = zd_cubic - zb_cubic - 2.0 * ( 1.0 - za_cubic - zb_cubic ) |
|---|
| 1451 | zc_cubic = 1.0 - za_cubic - zb_cubic - zd_cubic |
|---|
| 1452 | DO jk = imld(ji,jj) , ibld(ji,jj) |
|---|
| 1453 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / MAX(zdh(ji,jj), 1.e-6) |
|---|
| 1454 | ! |
|---|
| 1455 | zdiffut(ji,jj,jk) = zdifpyc_n_sc(ji,jj) * ( za_cubic + zb_cubic * zznd_pyc + zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) |
|---|
| 1456 | |
|---|
| 1457 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdifpyc_s_sc(ji,jj) * ( 1.75 * zznd_pyc - 0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ) |
|---|
| 1458 | END DO |
|---|
| 1459 | ! viscosity profiles. |
|---|
| 1460 | za_cubic = 0.5 |
|---|
| 1461 | zb_cubic = -1.75 * zvispyc_s_sc(ji,jj) / zvispyc_n_sc(ji,jj) |
|---|
| 1462 | zd_cubic = ( 0.5 * zvisml_sc(ji,jj) * zdh(ji,jj) / zhml(ji,jj) - 0.85 * zvispyc_s_sc(ji,jj) ) / MAX(zvispyc_n_sc(ji,jj), 1.e-8) |
|---|
| 1463 | zd_cubic = zd_cubic - zb_cubic - 2.0 * ( 1.0 - za_cubic - zb_cubic ) |
|---|
| 1464 | zc_cubic = 1.0 - za_cubic - zb_cubic - zd_cubic |
|---|
| 1465 | DO jk = imld(ji,jj) , ibld(ji,jj) |
|---|
| 1466 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / MAX(zdh(ji,jj), 1.e-6) |
|---|
| 1467 | zviscos(ji,jj,jk) = zvispyc_n_sc(ji,jj) * ( za_cubic + zb_cubic * zznd_pyc + zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) |
|---|
| 1468 | zviscos(ji,jj,jk) = zviscos(ji,jj,jk) + zvispyc_s_sc(ji,jj) * ( 1.75 * zznd_pyc - 0.15 * zznd_pyc**2 -0.2 * zznd_pyc**3 ) |
|---|
| 1469 | END DO |
|---|
| 1470 | IF ( zdhdt(ji,jj) > 0._wp ) THEN |
|---|
| 1471 | zdiffut(ji,jj,ibld(ji,jj)+1) = MAX( 0.5 * zdhdt(ji,jj) * e3w_n(ji,jj,ibld(ji,jj)+1), 1.0e-6 ) |
|---|
| 1472 | zviscos(ji,jj,ibld(ji,jj)+1) = MAX( 0.5 * zdhdt(ji,jj) * e3w_n(ji,jj,ibld(ji,jj)+1), 1.0e-6 ) |
|---|
| 1473 | ELSE |
|---|
| 1474 | zdiffut(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1475 | zviscos(ji,jj,ibld(ji,jj)) = 0._wp |
|---|
| 1476 | ENDIF |
|---|
| 1477 | ENDIF |
|---|
| 1478 | ELSE |
|---|
| 1479 | ! stable conditions |
|---|
| 1480 | DO jk = 2, ibld(ji,jj) |
|---|
| 1481 | zznd_ml = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 1482 | zdiffut(ji,jj,jk) = 0.75 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zznd_ml )**1.5 |
|---|
| 1483 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * (1.0 - zznd_ml) * ( 1.0 - zznd_ml**2 ) |
|---|
| 1484 | END DO |
|---|
| 1485 | |
|---|
| 1486 | IF ( zdhdt(ji,jj) > 0._wp ) THEN |
|---|
| 1487 | zdiffut(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 1.0e-6) * e3w_n(ji, jj, ibld(ji,jj)) |
|---|
| 1488 | zviscos(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 1.0e-6) * e3w_n(ji, jj, ibld(ji,jj)) |
|---|
| 1489 | ENDIF |
|---|
| 1490 | ENDIF ! end if ( lconv ) |
|---|
| 1491 | ! |
|---|
| 1492 | END DO ! end of ji loop |
|---|
| 1493 | END DO ! end of jj loop |
|---|
| 1494 | |
|---|
| 1495 | END SUBROUTINE zdf_osm_diffusivity_viscosity |
|---|
| 1496 | |
|---|
| 1497 | SUBROUTINE zdf_osm_osbl_state( lconv, lshear, j_ddh, zwb_ent, zwb_min, zshear ) |
|---|
| 1498 | |
|---|
| 1499 | !!--------------------------------------------------------------------- |
|---|
| 1500 | !! *** ROUTINE zdf_osm_osbl_state *** |
|---|
| 1501 | !! |
|---|
| 1502 | !! ** Purpose : Determines the state of the OSBL, stable/unstable, shear/ noshear. Also determines shear production, entrainment buoyancy flux and interfacial Richardson number |
|---|
| 1503 | !! |
|---|
| 1504 | !! ** Method : |
|---|
| 1505 | !! |
|---|
| 1506 | !! !!---------------------------------------------------------------------- |
|---|
| 1507 | |
|---|
| 1508 | INTEGER, DIMENSION(jpi,jpj) :: j_ddh ! j_ddh = 0, active shear layer; j_ddh=1, shear layer not active; j_ddh=2 shear production low. |
|---|
| 1509 | |
|---|
| 1510 | LOGICAL, DIMENSION(jpi,jpj) :: lconv, lshear |
|---|
| 1511 | |
|---|
| 1512 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent, zwb_min ! Buoyancy fluxes at base of well-mixed layer. |
|---|
| 1513 | REAL(wp), DIMENSION(jpi,jpj) :: zshear ! production of TKE due to shear across the pycnocline |
|---|
| 1514 | |
|---|
| 1515 | ! Local Variables |
|---|
| 1516 | |
|---|
| 1517 | INTEGER :: jj, ji |
|---|
| 1518 | |
|---|
| 1519 | REAL(wp), DIMENSION(jpi,jpj) :: zekman |
|---|
| 1520 | REAL(wp), DIMENSION(jpi,jpj) :: zri_p, zri_b ! Richardson numbers |
|---|
| 1521 | REAL(wp) :: zshear_u, zshear_v, zwb_shr |
|---|
| 1522 | REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes |
|---|
| 1523 | |
|---|
| 1524 | REAL, PARAMETER :: za_shr = 0.4, zb_shr = 6.5, za_wb_s = 0.8 |
|---|
| 1525 | REAL, PARAMETER :: zalpha_c = 0.2, zalpha_lc = 0.03 |
|---|
| 1526 | REAL, PARAMETER :: zalpha_ls = 0.06, zalpha_s = 0.15 |
|---|
| 1527 | REAL, PARAMETER :: rn_ri_p_thresh = 27.0 |
|---|
| 1528 | REAL, PARAMETER :: zri_c = 0.25 |
|---|
| 1529 | REAL, PARAMETER :: zek = 4.0 |
|---|
| 1530 | REAL, PARAMETER :: zrot=0._wp ! dummy rotation rate of surface stress. |
|---|
| 1531 | |
|---|
| 1532 | ! Determins stability and set flag lconv |
|---|
| 1533 | DO jj = 2, jpjm1 |
|---|
| 1534 | DO ji = 2, jpim1 |
|---|
| 1535 | IF ( zhol(ji,jj) < 0._wp ) THEN |
|---|
| 1536 | lconv(ji,jj) = .TRUE. |
|---|
| 1537 | ELSE |
|---|
| 1538 | lconv(ji,jj) = .FALSE. |
|---|
| 1539 | ENDIF |
|---|
| 1540 | END DO |
|---|
| 1541 | END DO |
|---|
| 1542 | |
|---|
| 1543 | zekman(:,:) = EXP( - zek * ABS( ff_t(:,:) ) * zhbl(:,:) / MAX(zustar(:,:), 1.e-8 ) ) |
|---|
| 1544 | |
|---|
| 1545 | zshear(:,:) = 0._wp |
|---|
| 1546 | j_ddh(:,:) = 1 |
|---|
| 1547 | |
|---|
| 1548 | DO jj = 2, jpjm1 |
|---|
| 1549 | DO ji = 2, jpim1 |
|---|
| 1550 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1551 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 1552 | zri_p(ji,jj) = MAX ( SQRT( zdb_bl(ji,jj) * zdh(ji,jj) / MAX( zdu_bl(ji,jj)**2 + zdv_bl(ji,jj)**2, 1.e-8) ) * ( zhbl(ji,jj) / zdh(ji,jj) ) * ( zvstr(ji,jj) / MAX( zustar(ji,jj), 1.e-6 ) )**2 & |
|---|
| 1553 | & / MAX( zekman(ji,jj), 1.e-6 ) , 5._wp ) |
|---|
| 1554 | |
|---|
| 1555 | IF ( ff_t(ji,jj) >= 0._wp ) THEN |
|---|
| 1556 | ! Northern Hemisphere |
|---|
| 1557 | zri_b(ji,jj) = zdb_ml(ji,jj) * zdh(ji,jj) / ( MAX( zdu_ml(ji,jj), 1.e-5 )**2 + MAX( -zdv_ml(ji,jj), 1.e-5)**2 ) |
|---|
| 1558 | ELSE |
|---|
| 1559 | ! Southern Hemisphere |
|---|
| 1560 | zri_b(ji,jj) = zdb_ml(ji,jj) * zdh(ji,jj) / ( MAX( zdu_ml(ji,jj), 1.e-5 )**2 + MAX( zdv_ml(ji,jj), 1.e-5)**2 ) |
|---|
| 1561 | ENDIF |
|---|
| 1562 | zshear(ji,jj) = za_shr * zekman(ji,jj) * ( MAX( zustar(ji,jj)**2 * zdu_ml(ji,jj) / zhbl(ji,jj), 0._wp ) + zb_shr * MAX( -ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) * zdv_ml(ji,jj) / zhbl(ji,jj), 0._wp ) ) |
|---|
| 1563 | ! Stability Dependence |
|---|
| 1564 | zshear(ji,jj) = zshear(ji,jj) * EXP( -0.75 * MAX(0._wp,( zri_b(ji,jj) - zri_c ) / zri_c ) ) |
|---|
| 1565 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
|---|
| 1566 | ! Test ensures j_ddh=0 is not selected. Change to zri_p<27 when ! |
|---|
| 1567 | ! full code available ! |
|---|
| 1568 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
|---|
| 1569 | IF ( zshear(ji,jj) > 1.e-10 ) THEN |
|---|
| 1570 | IF ( zri_p(ji,jj) < rn_ri_p_thresh ) THEN |
|---|
| 1571 | ! Growing shear layer |
|---|
| 1572 | j_ddh(ji,jj) = 0 |
|---|
| 1573 | lshear(ji,jj) = .TRUE. |
|---|
| 1574 | ELSE |
|---|
| 1575 | j_ddh(ji,jj) = 1 |
|---|
| 1576 | ! IF ( zri_b <= 1.5 .and. zshear(ji,jj) > 0._wp ) THEN |
|---|
| 1577 | ! shear production large enough to determine layer charcteristics, but can't maintain a shear layer. |
|---|
| 1578 | lshear(ji,jj) = .TRUE. |
|---|
| 1579 | ! ELSE |
|---|
| 1580 | ENDIF |
|---|
| 1581 | ELSE |
|---|
| 1582 | j_ddh(ji,jj) = 2 |
|---|
| 1583 | lshear(ji,jj) = .FALSE. |
|---|
| 1584 | ENDIF |
|---|
| 1585 | ! Shear production may not be zero, but is small and doesn't determine characteristics of pycnocline. |
|---|
| 1586 | ! zshear(ji,jj) = 0.5 * zshear(ji,jj) |
|---|
| 1587 | ! lshear(ji,jj) = .FALSE. |
|---|
| 1588 | ! ENDIF |
|---|
| 1589 | ELSE ! zdb_bl test, note zshear set to zero |
|---|
| 1590 | j_ddh(ji,jj) = 2 |
|---|
| 1591 | lshear(ji,jj) = .FALSE. |
|---|
| 1592 | ENDIF |
|---|
| 1593 | ENDIF |
|---|
| 1594 | END DO |
|---|
| 1595 | END DO |
|---|
| 1596 | |
|---|
| 1597 | ! Calculate entrainment buoyancy flux due to surface fluxes. |
|---|
| 1598 | |
|---|
| 1599 | DO jj = 2, jpjm1 |
|---|
| 1600 | DO ji = 2, jpim1 |
|---|
| 1601 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1602 | zwcor = ABS(ff_t(ji,jj)) * zhbl(ji,jj) + epsln |
|---|
| 1603 | zrf_conv = TANH( ( zwstrc(ji,jj) / zwcor )**0.69 ) |
|---|
| 1604 | zrf_shear = TANH( ( zustar(ji,jj) / zwcor )**0.69 ) |
|---|
| 1605 | zrf_langmuir = TANH( ( zwstrl(ji,jj) / zwcor )**0.69 ) |
|---|
| 1606 | IF (nn_osm_SD_reduce > 0 ) THEN |
|---|
| 1607 | ! Effective Stokes drift already reduced from surface value |
|---|
| 1608 | zr_stokes = 1.0_wp |
|---|
| 1609 | ELSE |
|---|
| 1610 | ! Effective Stokes drift only reduced by factor rn_zdfodm_adjust_sd, |
|---|
| 1611 | ! requires further reduction where BL is deep |
|---|
| 1612 | zr_stokes = 1.0 - EXP( -25.0 * dstokes(ji,jj) / hbl(ji,jj) & |
|---|
| 1613 | & * ( 1.0 + 4.0 * dstokes(ji,jj) / hbl(ji,jj) ) ) |
|---|
| 1614 | END IF |
|---|
| 1615 | zwb_ent(ji,jj) = - 2.0 * zalpha_c * zrf_conv * zwbav(ji,jj) & |
|---|
| 1616 | & - zalpha_s * zrf_shear * zustar(ji,jj)**3 /zhml(ji,jj) & |
|---|
| 1617 | & + zr_stokes * ( zalpha_s * EXP( -1.5 * zla(ji,jj) ) * zrf_shear * zustar(ji,jj)**3 & |
|---|
| 1618 | & - zrf_langmuir * zalpha_lc * zwstrl(ji,jj)**3 ) / zhml(ji,jj) |
|---|
| 1619 | ! |
|---|
| 1620 | ENDIF |
|---|
| 1621 | END DO ! ji loop |
|---|
| 1622 | END DO ! jj loop |
|---|
| 1623 | |
|---|
| 1624 | zwb_min(:,:) = 0._wp |
|---|
| 1625 | |
|---|
| 1626 | DO jj = 2, jpjm1 |
|---|
| 1627 | DO ji = 2, jpim1 |
|---|
| 1628 | IF ( lshear(ji,jj) ) THEN |
|---|
| 1629 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1630 | ! Unstable OSBL |
|---|
| 1631 | zwb_shr = -za_wb_s * zri_b(ji,jj) * zshear(ji,jj) |
|---|
| 1632 | IF ( j_ddh(ji,jj) == 0 ) THEN |
|---|
| 1633 | |
|---|
| 1634 | ! ! Developing shear layer, additional shear production possible. |
|---|
| 1635 | |
|---|
| 1636 | ! zshear_u = MAX( zustar(ji,jj)**2 * MAX( zdu_ml(ji,jj), 0._wp ) / zhbl(ji,jj), 0._wp ) |
|---|
| 1637 | ! zshear(ji,jj) = zshear(ji,jj) + zshear_u * ( 1.0 - MIN( zri_p(ji,jj) / rn_ri_p_thresh, 1.d0 )**2 ) |
|---|
| 1638 | ! zshear(ji,jj) = MIN( zshear(ji,jj), zshear_u ) |
|---|
| 1639 | |
|---|
| 1640 | ! zwb_shr = zwb_shr - 0.25 * MAX ( zshear_u, 0._wp) * ( 1.0 - MIN( zri_p(ji,jj) / rn_ri_p_thresh, 1._wp )**2 ) |
|---|
| 1641 | ! zwb_shr = MAX( zwb_shr, -0.25 * zshear_u ) |
|---|
| 1642 | |
|---|
| 1643 | ENDIF |
|---|
| 1644 | zwb_ent(ji,jj) = zwb_ent(ji,jj) + zwb_shr |
|---|
| 1645 | ! zwb_min(ji,jj) = zwb_ent(ji,jj) + zdh(ji,jj) / zhbl(ji,jj) * zwb0(ji,jj) |
|---|
| 1646 | ELSE ! IF ( lconv ) THEN - ENDIF |
|---|
| 1647 | ! Stable OSBL - shear production not coded for first attempt. |
|---|
| 1648 | ENDIF ! lconv |
|---|
| 1649 | ENDIF ! lshear |
|---|
| 1650 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1651 | ! Unstable OSBL |
|---|
| 1652 | zwb_min(ji,jj) = zwb_ent(ji,jj) + zdh(ji,jj) / zhbl(ji,jj) * zwb0tot(ji,jj) |
|---|
| 1653 | ENDIF ! lconv |
|---|
| 1654 | END DO ! ji |
|---|
| 1655 | END DO ! jj |
|---|
| 1656 | END SUBROUTINE zdf_osm_osbl_state |
|---|
| 1657 | |
|---|
| 1658 | |
|---|
| 1659 | SUBROUTINE zdf_osm_vertical_average( jnlev_av, jp_ext, zt, zs, zb, zu, zv, zdt, zds, zdb, zdu, zdv ) |
|---|
| 1660 | !!--------------------------------------------------------------------- |
|---|
| 1661 | !! *** ROUTINE zdf_vertical_average *** |
|---|
| 1662 | !! |
|---|
| 1663 | !! ** Purpose : Determines vertical averages from surface to jnlev. |
|---|
| 1664 | !! |
|---|
| 1665 | !! ** Method : Averages are calculated from the surface to jnlev. |
|---|
| 1666 | !! The external level used to calculate differences is ibld+ibld_ext |
|---|
| 1667 | !! |
|---|
| 1668 | !!---------------------------------------------------------------------- |
|---|
| 1669 | |
|---|
| 1670 | INTEGER, DIMENSION(jpi,jpj) :: jnlev_av ! Number of levels to average over. |
|---|
| 1671 | INTEGER, DIMENSION(jpi,jpj) :: jp_ext |
|---|
| 1672 | |
|---|
| 1673 | ! Alan: do we need zb? |
|---|
| 1674 | REAL(wp), DIMENSION(jpi,jpj) :: zt, zs, zb ! Average temperature and salinity |
|---|
| 1675 | REAL(wp), DIMENSION(jpi,jpj) :: zu,zv ! Average current components |
|---|
| 1676 | REAL(wp), DIMENSION(jpi,jpj) :: zdt, zds, zdb ! Difference between average and value at base of OSBL |
|---|
| 1677 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Difference for velocity components. |
|---|
| 1678 | |
|---|
| 1679 | INTEGER :: jk, ji, jj, ibld_ext |
|---|
| 1680 | REAL(wp) :: zthick, zthermal, zbeta |
|---|
| 1681 | |
|---|
| 1682 | |
|---|
| 1683 | zt = 0._wp |
|---|
| 1684 | zs = 0._wp |
|---|
| 1685 | zu = 0._wp |
|---|
| 1686 | zv = 0._wp |
|---|
| 1687 | DO jj = 2, jpjm1 ! Vertical slab |
|---|
| 1688 | DO ji = 2, jpim1 |
|---|
| 1689 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
|---|
| 1690 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 1691 | ! average over depth of boundary layer |
|---|
| 1692 | zthick = epsln |
|---|
| 1693 | DO jk = 2, jnlev_av(ji,jj) |
|---|
| 1694 | zthick = zthick + e3t_n(ji,jj,jk) |
|---|
| 1695 | zt(ji,jj) = zt(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_tem) |
|---|
| 1696 | zs(ji,jj) = zs(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_sal) |
|---|
| 1697 | zu(ji,jj) = zu(ji,jj) + e3t_n(ji,jj,jk) & |
|---|
| 1698 | & * ( ub(ji,jj,jk) + ub(ji - 1,jj,jk) ) & |
|---|
| 1699 | & / MAX( 1. , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
|---|
| 1700 | zv(ji,jj) = zv(ji,jj) + e3t_n(ji,jj,jk) & |
|---|
| 1701 | & * ( vb(ji,jj,jk) + vb(ji,jj - 1,jk) ) & |
|---|
| 1702 | & / MAX( 1. , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
|---|
| 1703 | END DO |
|---|
| 1704 | zt(ji,jj) = zt(ji,jj) / zthick |
|---|
| 1705 | zs(ji,jj) = zs(ji,jj) / zthick |
|---|
| 1706 | zu(ji,jj) = zu(ji,jj) / zthick |
|---|
| 1707 | zv(ji,jj) = zv(ji,jj) / zthick |
|---|
| 1708 | zb(ji,jj) = grav * zthermal * zt(ji,jj) - grav * zbeta * zs(ji,jj) |
|---|
| 1709 | ibld_ext = jnlev_av(ji,jj) + jp_ext(ji,jj) |
|---|
| 1710 | IF ( ibld_ext < mbkt(ji,jj) ) THEN |
|---|
| 1711 | zdt(ji,jj) = zt(ji,jj) - tsn(ji,jj,ibld_ext,jp_tem) |
|---|
| 1712 | zds(ji,jj) = zs(ji,jj) - tsn(ji,jj,ibld_ext,jp_sal) |
|---|
| 1713 | zdu(ji,jj) = zu(ji,jj) - ( ub(ji,jj,ibld_ext) + ub(ji-1,jj,ibld_ext ) ) & |
|---|
| 1714 | & / MAX(1. , umask(ji,jj,ibld_ext ) + umask(ji-1,jj,ibld_ext ) ) |
|---|
| 1715 | zdv(ji,jj) = zv(ji,jj) - ( vb(ji,jj,ibld_ext) + vb(ji,jj-1,ibld_ext ) ) & |
|---|
| 1716 | & / MAX(1. , vmask(ji,jj,ibld_ext ) + vmask(ji,jj-1,ibld_ext ) ) |
|---|
| 1717 | zdb(ji,jj) = grav * zthermal * zdt(ji,jj) - grav * zbeta * zds(ji,jj) |
|---|
| 1718 | ELSE |
|---|
| 1719 | zdt(ji,jj) = 0._wp |
|---|
| 1720 | zds(ji,jj) = 0._wp |
|---|
| 1721 | zdu(ji,jj) = 0._wp |
|---|
| 1722 | zdv(ji,jj) = 0._wp |
|---|
| 1723 | zdb(ji,jj) = 0._wp |
|---|
| 1724 | ENDIF |
|---|
| 1725 | END DO |
|---|
| 1726 | END DO |
|---|
| 1727 | END SUBROUTINE zdf_osm_vertical_average |
|---|
| 1728 | |
|---|
| 1729 | SUBROUTINE zdf_osm_velocity_rotation( zcos_w, zsin_w, zu, zv, zdu, zdv ) |
|---|
| 1730 | !!--------------------------------------------------------------------- |
|---|
| 1731 | !! *** ROUTINE zdf_velocity_rotation *** |
|---|
| 1732 | !! |
|---|
| 1733 | !! ** Purpose : Rotates frame of reference of averaged velocity components. |
|---|
| 1734 | !! |
|---|
| 1735 | !! ** Method : The velocity components are rotated into frame specified by zcos_w and zsin_w |
|---|
| 1736 | !! |
|---|
| 1737 | !!---------------------------------------------------------------------- |
|---|
| 1738 | |
|---|
| 1739 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_w, zsin_w ! Cos and Sin of rotation angle |
|---|
| 1740 | REAL(wp), DIMENSION(jpi,jpj) :: zu, zv ! Components of current |
|---|
| 1741 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Change in velocity components across pycnocline |
|---|
| 1742 | |
|---|
| 1743 | INTEGER :: ji, jj |
|---|
| 1744 | REAL(wp) :: ztemp |
|---|
| 1745 | |
|---|
| 1746 | DO jj = 2, jpjm1 |
|---|
| 1747 | DO ji = 2, jpim1 |
|---|
| 1748 | ztemp = zu(ji,jj) |
|---|
| 1749 | zu(ji,jj) = zu(ji,jj) * zcos_w(ji,jj) + zv(ji,jj) * zsin_w(ji,jj) |
|---|
| 1750 | zv(ji,jj) = zv(ji,jj) * zcos_w(ji,jj) - ztemp * zsin_w(ji,jj) |
|---|
| 1751 | ztemp = zdu(ji,jj) |
|---|
| 1752 | zdu(ji,jj) = zdu(ji,jj) * zcos_w(ji,jj) + zdv(ji,jj) * zsin_w(ji,jj) |
|---|
| 1753 | zdv(ji,jj) = zdv(ji,jj) * zcos_w(ji,jj) - ztemp * zsin_w(ji,jj) |
|---|
| 1754 | END DO |
|---|
| 1755 | END DO |
|---|
| 1756 | END SUBROUTINE zdf_osm_velocity_rotation |
|---|
| 1757 | |
|---|
| 1758 | SUBROUTINE zdf_osm_osbl_state_fk( lpyc, lflux, lmle, zwb_fk ) |
|---|
| 1759 | !!--------------------------------------------------------------------- |
|---|
| 1760 | !! *** ROUTINE zdf_osm_osbl_state_fk *** |
|---|
| 1761 | !! |
|---|
| 1762 | !! ** Purpose : Determines the state of the OSBL and MLE layer. Info is returned in the logicals lpyc,lflux and lmle. Used with Fox-Kemper scheme. |
|---|
| 1763 | !! lpyc :: determines whether pycnocline flux-grad relationship needs to be determined |
|---|
| 1764 | !! lflux :: determines whether effects of surface flux extend below the base of the OSBL |
|---|
| 1765 | !! lmle :: determines whether the layer with MLE is increasing with time or if base is relaxing towards hbl. |
|---|
| 1766 | !! |
|---|
| 1767 | !! ** Method : |
|---|
| 1768 | !! |
|---|
| 1769 | !! |
|---|
| 1770 | !!---------------------------------------------------------------------- |
|---|
| 1771 | |
|---|
| 1772 | ! Outputs |
|---|
| 1773 | LOGICAL, DIMENSION(jpi,jpj) :: lpyc, lflux, lmle |
|---|
| 1774 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk |
|---|
| 1775 | ! |
|---|
| 1776 | REAL(wp), DIMENSION(jpi,jpj) :: znd_param |
|---|
| 1777 | REAL(wp) :: zbuoy, ztmp, zpe_mle_layer |
|---|
| 1778 | REAL(wp) :: zpe_mle_ref, zdbdz_mle_int |
|---|
| 1779 | |
|---|
| 1780 | znd_param(:,:) = 0._wp |
|---|
| 1781 | |
|---|
| 1782 | DO jj = 2, jpjm1 |
|---|
| 1783 | DO ji = 2, jpim1 |
|---|
| 1784 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
|---|
| 1785 | zwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) * ztmp * zdbds_mle(ji,jj) * zdbds_mle(ji,jj) |
|---|
| 1786 | END DO |
|---|
| 1787 | END DO |
|---|
| 1788 | DO jj = 2, jpjm1 |
|---|
| 1789 | DO ji = 2, jpim1 |
|---|
| 1790 | ! |
|---|
| 1791 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1792 | IF ( zhmle(ji,jj) > 1.2 * zhbl(ji,jj) ) THEN |
|---|
| 1793 | zt_mle(ji,jj) = ( zt_mle(ji,jj) * zhmle(ji,jj) - zt_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
|---|
| 1794 | zs_mle(ji,jj) = ( zs_mle(ji,jj) * zhmle(ji,jj) - zs_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
|---|
| 1795 | zb_mle(ji,jj) = ( zb_mle(ji,jj) * zhmle(ji,jj) - zb_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
|---|
| 1796 | zdbdz_mle_int = ( zb_bl(ji,jj) - ( 2.0 * zb_mle(ji,jj) -zb_bl(ji,jj) ) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
|---|
| 1797 | ! Calculate potential energies of actual profile and reference profile. |
|---|
| 1798 | zpe_mle_layer = 0._wp |
|---|
| 1799 | zpe_mle_ref = 0._wp |
|---|
| 1800 | zthermal = rab_n(ji,jj,1,jp_tem) |
|---|
| 1801 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 1802 | |
|---|
| 1803 | DO jk = ibld(ji,jj), mld_prof(ji,jj) |
|---|
| 1804 | zbuoy = grav * ( zthermal * tsn(ji,jj,jk,jp_tem) - zbeta * tsn(ji,jj,jk,jp_sal) ) |
|---|
| 1805 | zpe_mle_layer = zpe_mle_layer + zbuoy * gdepw_n(ji,jj,jk) * e3w_n(ji,jj,jk) |
|---|
| 1806 | zpe_mle_ref = zpe_mle_ref + ( zb_bl(ji,jj) - zdbdz_mle_int * ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) ) * gdepw_n(ji,jj,jk) * e3w_n(ji,jj,jk) |
|---|
| 1807 | END DO |
|---|
| 1808 | ! Non-dimensional parameter to diagnose the presence of thermocline |
|---|
| 1809 | |
|---|
| 1810 | znd_param(ji,jj) = ( zpe_mle_layer - zpe_mle_ref ) * ABS( ff_t(ji,jj) ) / ( MAX( zwb_fk(ji,jj), 1.0e-10 ) * zhmle(ji,jj) ) |
|---|
| 1811 | ENDIF |
|---|
| 1812 | ENDIF |
|---|
| 1813 | END DO |
|---|
| 1814 | END DO |
|---|
| 1815 | |
|---|
| 1816 | ! Diagnosis |
|---|
| 1817 | DO jj = 2, jpjm1 |
|---|
| 1818 | DO ji = 2, jpim1 |
|---|
| 1819 | IF ( lconv(ji,jj) ) THEN |
|---|
| 1820 | IF ( -2.0 * zwb_fk(ji,jj) / zwb_ent(ji,jj) > 0.5 ) THEN |
|---|
| 1821 | IF ( zhmle(ji,jj) > 1.2 * zhbl(ji,jj) ) THEN |
|---|
| 1822 | ! MLE layer growing |
|---|
| 1823 | IF ( znd_param (ji,jj) > 100. ) THEN |
|---|
| 1824 | ! Thermocline present |
|---|
| 1825 | lflux(ji,jj) = .FALSE. |
|---|
| 1826 | lmle(ji,jj) =.FALSE. |
|---|
| 1827 | ELSE |
|---|
| 1828 | ! Thermocline not present |
|---|
| 1829 | lflux(ji,jj) = .TRUE. |
|---|
| 1830 | lmle(ji,jj) = .TRUE. |
|---|
| 1831 | ENDIF ! znd_param > 100 |
|---|
| 1832 | ! |
|---|
| 1833 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
|---|
| 1834 | lpyc(ji,jj) = .FALSE. |
|---|
| 1835 | ELSE |
|---|
| 1836 | lpyc(ji,jj) = .TRUE. |
|---|
| 1837 | ENDIF |
|---|
| 1838 | ELSE |
|---|
| 1839 | ! MLE layer restricted to OSBL or just below. |
|---|
| 1840 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
|---|
| 1841 | ! Weak stratification MLE layer can grow. |
|---|
| 1842 | lpyc(ji,jj) = .FALSE. |
|---|
| 1843 | lflux(ji,jj) = .TRUE. |
|---|
| 1844 | lmle(ji,jj) = .TRUE. |
|---|
| 1845 | ELSE |
|---|
| 1846 | ! Strong stratification |
|---|
| 1847 | lpyc(ji,jj) = .TRUE. |
|---|
| 1848 | lflux(ji,jj) = .FALSE. |
|---|
| 1849 | lmle(ji,jj) = .FALSE. |
|---|
| 1850 | ENDIF ! zdb_bl < rn_mle_thresh_bl and |
|---|
| 1851 | ENDIF ! zhmle > 1.2 zhbl |
|---|
| 1852 | ELSE |
|---|
| 1853 | lpyc(ji,jj) = .TRUE. |
|---|
| 1854 | lflux(ji,jj) = .FALSE. |
|---|
| 1855 | lmle(ji,jj) = .FALSE. |
|---|
| 1856 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) lpyc(ji,jj) = .FALSE. |
|---|
| 1857 | ENDIF ! -2.0 * zwb_fk(ji,jj) / zwb_ent > 0.5 |
|---|
| 1858 | ELSE |
|---|
| 1859 | ! Stable Boundary Layer |
|---|
| 1860 | lpyc(ji,jj) = .FALSE. |
|---|
| 1861 | lflux(ji,jj) = .FALSE. |
|---|
| 1862 | lmle(ji,jj) = .FALSE. |
|---|
| 1863 | ENDIF ! lconv |
|---|
| 1864 | END DO |
|---|
| 1865 | END DO |
|---|
| 1866 | END SUBROUTINE zdf_osm_osbl_state_fk |
|---|
| 1867 | |
|---|
| 1868 | SUBROUTINE zdf_osm_external_gradients(jbase, zdtdz, zdsdz, zdbdz ) |
|---|
| 1869 | !!--------------------------------------------------------------------- |
|---|
| 1870 | !! *** ROUTINE zdf_osm_external_gradients *** |
|---|
| 1871 | !! |
|---|
| 1872 | !! ** Purpose : Calculates the gradients below the OSBL |
|---|
| 1873 | !! |
|---|
| 1874 | !! ** Method : Uses ibld and ibld_ext to determine levels to calculate the gradient. |
|---|
| 1875 | !! |
|---|
| 1876 | !!---------------------------------------------------------------------- |
|---|
| 1877 | |
|---|
| 1878 | INTEGER, DIMENSION(jpi,jpj) :: jbase |
|---|
| 1879 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz, zdsdz, zdbdz ! External gradients of temperature, salinity and buoyancy. |
|---|
| 1880 | |
|---|
| 1881 | INTEGER :: jj, ji, jkb, jkb1 |
|---|
| 1882 | REAL(wp) :: zthermal, zbeta |
|---|
| 1883 | |
|---|
| 1884 | |
|---|
| 1885 | DO jj = 2, jpjm1 |
|---|
| 1886 | DO ji = 2, jpim1 |
|---|
| 1887 | IF ( jbase(ji,jj)+1 < mbkt(ji,jj) ) THEN |
|---|
| 1888 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
|---|
| 1889 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 1890 | jkb = jbase(ji,jj) |
|---|
| 1891 | jkb1 = MIN(jkb + 1, mbkt(ji,jj)) |
|---|
| 1892 | zdtdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_tem) - tsn(ji,jj,jkb,jp_tem ) ) & |
|---|
| 1893 | & / e3t_n(ji,jj,jkb) |
|---|
| 1894 | zdsdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_sal) - tsn(ji,jj,jkb,jp_sal ) ) & |
|---|
| 1895 | & / e3t_n(ji,jj,jkb) |
|---|
| 1896 | zdbdz(ji,jj) = grav * zthermal * zdtdz(ji,jj) - grav * zbeta * zdsdz(ji,jj) |
|---|
| 1897 | ELSE |
|---|
| 1898 | zdtdz(ji,jj) = 0._wp |
|---|
| 1899 | zdsdz(ji,jj) = 0._wp |
|---|
| 1900 | zdbdz(ji,jj) = 0._wp |
|---|
| 1901 | END IF |
|---|
| 1902 | END DO |
|---|
| 1903 | END DO |
|---|
| 1904 | END SUBROUTINE zdf_osm_external_gradients |
|---|
| 1905 | |
|---|
| 1906 | SUBROUTINE zdf_osm_pycnocline_scalar_profiles( zdtdz, zdsdz, zdbdz, zalpha ) |
|---|
| 1907 | |
|---|
| 1908 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz, zdsdz, zdbdz ! gradients in the pycnocline |
|---|
| 1909 | REAL(wp), DIMENSION(jpi,jpj) :: zalpha |
|---|
| 1910 | |
|---|
| 1911 | INTEGER :: jk, jj, ji |
|---|
| 1912 | REAL(wp) :: ztgrad, zsgrad, zbgrad |
|---|
| 1913 | REAL(wp) :: zgamma_b_nd, znd |
|---|
| 1914 | REAL(wp) :: zzeta_m, zzeta_en, zbuoy_pyc_sc |
|---|
| 1915 | REAL(wp), PARAMETER :: zgamma_b = 2.25, zzeta_sh = 0.15 |
|---|
| 1916 | |
|---|
| 1917 | DO jj = 2, jpjm1 |
|---|
| 1918 | DO ji = 2, jpim1 |
|---|
| 1919 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
|---|
| 1920 | IF ( lconv(ji,jj) ) THEN ! convective conditions |
|---|
| 1921 | IF ( lpyc(ji,jj) ) THEN |
|---|
| 1922 | zzeta_m = 0.1 + 0.3 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) ) |
|---|
| 1923 | zalpha(ji,jj) = 2.0 * ( 1.0 - ( 0.80 * zzeta_m + 0.5 * SQRT( 3.14159 / zgamma_b ) ) * zdbdz_bl_ext(ji,jj) * zdh(ji,jj) / zdb_ml(ji,jj) ) / ( 0.723 + SQRT( 3.14159 / zgamma_b ) ) |
|---|
| 1924 | zalpha(ji,jj) = MAX( zalpha(ji,jj), 0._wp ) |
|---|
| 1925 | |
|---|
| 1926 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
|---|
| 1927 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
|---|
| 1928 | ! Commented lines in this section are not needed in new code, once tested ! |
|---|
| 1929 | ! can be removed ! |
|---|
| 1930 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
|---|
| 1931 | ! ztgrad = zalpha * zdt_ml(ji,jj) * ztmp + zdtdz_bl_ext(ji,jj) |
|---|
| 1932 | ! zsgrad = zalpha * zds_ml(ji,jj) * ztmp + zdsdz_bl_ext(ji,jj) |
|---|
| 1933 | zbgrad = zalpha(ji,jj) * zdb_ml(ji,jj) * ztmp + zdbdz_bl_ext(ji,jj) |
|---|
| 1934 | zgamma_b_nd = zdbdz_bl_ext(ji,jj) * zdh(ji,jj) / MAX(zdb_ml(ji,jj), epsln) |
|---|
| 1935 | DO jk = 2, ibld(ji,jj) |
|---|
| 1936 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) * ztmp |
|---|
| 1937 | IF ( znd <= zzeta_m ) THEN |
|---|
| 1938 | ! zdtdz(ji,jj,jk) = zdtdz_bl_ext(ji,jj) + zalpha * zdt_ml(ji,jj) * ztmp * & |
|---|
| 1939 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
|---|
| 1940 | ! zdsdz(ji,jj,jk) = zdsdz_bl_ext(ji,jj) + zalpha * zds_ml(ji,jj) * ztmp * & |
|---|
| 1941 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
|---|
| 1942 | zdbdz(ji,jj,jk) = zdbdz_bl_ext(ji,jj) + zalpha(ji,jj) * zdb_ml(ji,jj) * ztmp * & |
|---|
| 1943 | & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
|---|
| 1944 | ELSE |
|---|
| 1945 | ! zdtdz(ji,jj,jk) = ztgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
|---|
| 1946 | ! zdsdz(ji,jj,jk) = zsgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
|---|
| 1947 | zdbdz(ji,jj,jk) = zbgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
|---|
| 1948 | ENDIF |
|---|
| 1949 | END DO |
|---|
| 1950 | ENDIF ! if no pycnocline pycnocline gradients set to zero |
|---|
| 1951 | ELSE |
|---|
| 1952 | ! stable conditions |
|---|
| 1953 | ! if pycnocline profile only defined when depth steady of increasing. |
|---|
| 1954 | IF ( zdhdt(ji,jj) > 0.0 ) THEN ! Depth increasing, or steady. |
|---|
| 1955 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 1956 | IF ( zhol(ji,jj) >= 0.5 ) THEN ! Very stable - 'thick' pycnocline |
|---|
| 1957 | ztmp = 1._wp/MAX(zhbl(ji,jj), epsln) |
|---|
| 1958 | ztgrad = zdt_bl(ji,jj) * ztmp |
|---|
| 1959 | zsgrad = zds_bl(ji,jj) * ztmp |
|---|
| 1960 | zbgrad = zdb_bl(ji,jj) * ztmp |
|---|
| 1961 | DO jk = 2, ibld(ji,jj) |
|---|
| 1962 | znd = gdepw_n(ji,jj,jk) * ztmp |
|---|
| 1963 | zdtdz(ji,jj,jk) = ztgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 1964 | zdbdz(ji,jj,jk) = zbgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 1965 | zdsdz(ji,jj,jk) = zsgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
|---|
| 1966 | END DO |
|---|
| 1967 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
|---|
| 1968 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
|---|
| 1969 | ztgrad = zdt_bl(ji,jj) * ztmp |
|---|
| 1970 | zsgrad = zds_bl(ji,jj) * ztmp |
|---|
| 1971 | zbgrad = zdb_bl(ji,jj) * ztmp |
|---|
| 1972 | DO jk = 2, ibld(ji,jj) |
|---|
| 1973 | znd = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) * ztmp |
|---|
| 1974 | zdtdz(ji,jj,jk) = ztgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 1975 | zdbdz(ji,jj,jk) = zbgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 1976 | zdsdz(ji,jj,jk) = zsgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
|---|
| 1977 | END DO |
|---|
| 1978 | ENDIF ! IF (zhol >=0.5) |
|---|
| 1979 | ENDIF ! IF (zdb_bl> 0.) |
|---|
| 1980 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
|---|
| 1981 | ENDIF ! IF (lconv) |
|---|
| 1982 | ENDIF ! IF ( ibld(ji,jj) < mbkt(ji,jj) ) |
|---|
| 1983 | END DO |
|---|
| 1984 | END DO |
|---|
| 1985 | |
|---|
| 1986 | END SUBROUTINE zdf_osm_pycnocline_scalar_profiles |
|---|
| 1987 | |
|---|
| 1988 | SUBROUTINE zdf_osm_pycnocline_shear_profiles( zdudz, zdvdz ) |
|---|
| 1989 | !!--------------------------------------------------------------------- |
|---|
| 1990 | !! *** ROUTINE zdf_osm_pycnocline_shear_profiles *** |
|---|
| 1991 | !! |
|---|
| 1992 | !! ** Purpose : Calculates velocity shear in the pycnocline |
|---|
| 1993 | !! |
|---|
| 1994 | !! ** Method : |
|---|
| 1995 | !! |
|---|
| 1996 | !!---------------------------------------------------------------------- |
|---|
| 1997 | |
|---|
| 1998 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz, zdvdz |
|---|
| 1999 | |
|---|
| 2000 | INTEGER :: jk, jj, ji |
|---|
| 2001 | REAL(wp) :: zugrad, zvgrad, znd |
|---|
| 2002 | REAL(wp) :: zzeta_v = 0.45 |
|---|
| 2003 | ! |
|---|
| 2004 | DO jj = 2, jpjm1 |
|---|
| 2005 | DO ji = 2, jpim1 |
|---|
| 2006 | ! |
|---|
| 2007 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
|---|
| 2008 | IF ( lconv (ji,jj) ) THEN |
|---|
| 2009 | ! Unstable conditions. Shouldn;t be needed with no pycnocline code. |
|---|
| 2010 | ! zugrad = 0.7 * zdu_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / & |
|---|
| 2011 | ! & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * & |
|---|
| 2012 | ! & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 )) |
|---|
| 2013 | !Alan is this right? |
|---|
| 2014 | ! zvgrad = ( 0.7 * zdv_ml(ji,jj) + & |
|---|
| 2015 | ! & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / & |
|---|
| 2016 | ! & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) & |
|---|
| 2017 | ! & )/ (zdh(ji,jj) + epsln ) |
|---|
| 2018 | ! DO jk = 2, ibld(ji,jj) - 1 + ibld_ext |
|---|
| 2019 | ! znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v |
|---|
| 2020 | ! IF ( znd <= 0.0 ) THEN |
|---|
| 2021 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd ) |
|---|
| 2022 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd ) |
|---|
| 2023 | ! ELSE |
|---|
| 2024 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd ) |
|---|
| 2025 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd ) |
|---|
| 2026 | ! ENDIF |
|---|
| 2027 | ! END DO |
|---|
| 2028 | ELSE |
|---|
| 2029 | ! stable conditions |
|---|
| 2030 | zugrad = 3.25 * zdu_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 2031 | zvgrad = 2.75 * zdv_bl(ji,jj) / zhbl(ji,jj) |
|---|
| 2032 | DO jk = 2, ibld(ji,jj) |
|---|
| 2033 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
|---|
| 2034 | IF ( znd < 1.0 ) THEN |
|---|
| 2035 | zdudz(ji,jj,jk) = zugrad * EXP( -40.0 * ( znd - 1.0 )**2 ) |
|---|
| 2036 | ELSE |
|---|
| 2037 | zdudz(ji,jj,jk) = zugrad * EXP( -20.0 * ( znd - 1.0 )**2 ) |
|---|
| 2038 | ENDIF |
|---|
| 2039 | zdvdz(ji,jj,jk) = zvgrad * EXP( -20.0 * ( znd - 0.85 )**2 ) |
|---|
| 2040 | END DO |
|---|
| 2041 | ENDIF |
|---|
| 2042 | ! |
|---|
| 2043 | END IF ! IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) |
|---|
| 2044 | END DO |
|---|
| 2045 | END DO |
|---|
| 2046 | END SUBROUTINE zdf_osm_pycnocline_shear_profiles |
|---|
| 2047 | |
|---|
| 2048 | SUBROUTINE zdf_osm_calculate_dhdt( zdhdt ) |
|---|
| 2049 | !!--------------------------------------------------------------------- |
|---|
| 2050 | !! *** ROUTINE zdf_osm_calculate_dhdt *** |
|---|
| 2051 | !! |
|---|
| 2052 | !! ** Purpose : Calculates the rate at which hbl changes. |
|---|
| 2053 | !! |
|---|
| 2054 | !! ** Method : |
|---|
| 2055 | !! |
|---|
| 2056 | !!---------------------------------------------------------------------- |
|---|
| 2057 | |
|---|
| 2058 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! Rate of change of hbl |
|---|
| 2059 | |
|---|
| 2060 | INTEGER :: jj, ji |
|---|
| 2061 | REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi |
|---|
| 2062 | REAL(wp) :: zvel_max,zddhdt |
|---|
| 2063 | REAL(wp), PARAMETER :: zzeta_m = 0.3 |
|---|
| 2064 | REAL(wp), PARAMETER :: zgamma_c = 2.0 |
|---|
| 2065 | REAL(wp), PARAMETER :: zdhoh = 0.1 |
|---|
| 2066 | REAL(wp), PARAMETER :: zalpha_b = 0.3 |
|---|
| 2067 | REAL, PARAMETER :: a_ddh = 2.5, a_ddh_2 = 3.5 ! also in pycnocline_depth |
|---|
| 2068 | |
|---|
| 2069 | DO jj = 2, jpjm1 |
|---|
| 2070 | DO ji = 2, jpim1 |
|---|
| 2071 | |
|---|
| 2072 | IF ( lshear(ji,jj) ) THEN |
|---|
| 2073 | IF ( lconv(ji,jj) ) THEN ! Convective |
|---|
| 2074 | |
|---|
| 2075 | IF ( ln_osm_mle ) THEN |
|---|
| 2076 | |
|---|
| 2077 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
|---|
| 2078 | ! Fox-Kemper buoyancy flux average over OSBL |
|---|
| 2079 | zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * & |
|---|
| 2080 | (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) ) |
|---|
| 2081 | ELSE |
|---|
| 2082 | zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
|---|
| 2083 | ENDIF |
|---|
| 2084 | zvel_max = ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
|---|
| 2085 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN |
|---|
| 2086 | ! OSBL is deepening, entrainment > restratification |
|---|
| 2087 | IF ( zdb_bl(ji,jj) > 1.0e-15 ) THEN |
|---|
| 2088 | zgamma_b_nd = MAX( zdbdz_bl_ext(ji,jj), 0._wp ) * zdh(ji,jj) / zdb_ml(ji,jj) |
|---|
| 2089 | zpsi = ( 1.0 - 0.5 * zdh(ji,jj) / zhbl(ji,jj) ) * ( zwb0(ji,jj) - MIN( ( zwb_min(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ), 0._wp ) ) * zdh(ji,jj) / zhbl(ji,jj) |
|---|
| 2090 | zpsi = zpsi + 1.75 * ( 1.0 - 0.5 * zdh(ji,jj) / zhbl(ji,jj) )*( zdh(ji,jj) / zhbl(ji,jj) + zgamma_b_nd ) * MIN( ( zwb_min(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ), 0._wp ) |
|---|
| 2091 | zpsi = zalpha_b * MAX ( zpsi, 0._wp ) |
|---|
| 2092 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) + zpsi / ( zvel_max + MAX( zdb_bl(ji,jj), 1.e-15 ) ) |
|---|
| 2093 | IF ( j_ddh(ji,jj) == 1 ) THEN |
|---|
| 2094 | IF ( ( zwstrc(ji,jj) / zvstr(ji,jj) )**3 <= 0.5 ) THEN |
|---|
| 2095 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
|---|
| 2096 | ELSE |
|---|
| 2097 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
|---|
| 2098 | ENDIF |
|---|
| 2099 | ! Relaxation to dh_ref = zari * hbl |
|---|
| 2100 | zddhdt = -a_ddh_2 * ( 1.0 - zdh(ji,jj) / ( zari * zhbl(ji,jj) ) ) * zwb_ent(ji,jj) / zdb_bl(ji,jj) |
|---|
| 2101 | |
|---|
| 2102 | ELSE IF ( j_ddh(ji,jj) == 0 ) THEN |
|---|
| 2103 | ! Growing shear layer |
|---|
| 2104 | zddhdt = -a_ddh * ( 1.0 - 1.6 * zdh(ji,jj) / zhbl(ji,jj) ) * zwb_ent(ji,jj) / zdb_bl(ji,jj) |
|---|
| 2105 | zddhdt = EXP( - 4.0 * ABS( ff_t(ji,jj) ) * zhbl(ji,jj) / MAX(zustar(ji,jj), 1.e-8 ) ) * zddhdt |
|---|
| 2106 | ELSE |
|---|
| 2107 | zddhdt = 0._wp |
|---|
| 2108 | ENDIF ! j_ddh |
|---|
| 2109 | zdhdt(ji,jj) = zdhdt(ji,jj) + zalpha_b * ( 1.0 -0.5 * zdh(ji,jj) / zhbl(ji,jj) ) * zddhdt / ( zvel_max + MAX( zdb_bl(ji,jj), 1.0e-15 ) ) |
|---|
| 2110 | ELSE ! zdb_bl >0 |
|---|
| 2111 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15) |
|---|
| 2112 | ENDIF |
|---|
| 2113 | ELSE ! zwb_min + 2*zwb_fk_b < 0 |
|---|
| 2114 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
|---|
| 2115 | zdhdt(ji,jj) = - MIN(zvel_mle(ji,jj), hbl(ji,jj)/10800.) |
|---|
| 2116 | |
|---|
| 2117 | |
|---|
| 2118 | ENDIF |
|---|
| 2119 | |
|---|
| 2120 | ELSE |
|---|
| 2121 | ! Fox-Kemper not used. |
|---|
| 2122 | |
|---|
| 2123 | 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) / & |
|---|
| 2124 | & MAX((zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln) |
|---|
| 2125 | zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
|---|
| 2126 | ! added ajgn 23 July as temporay fix |
|---|
| 2127 | |
|---|
| 2128 | ENDIF ! ln_osm_mle |
|---|
| 2129 | |
|---|
| 2130 | ELSE ! lconv - Stable |
|---|
| 2131 | zdhdt(ji,jj) = ( 0.06 + 0.52 * zhol(ji,jj) / 2.0 ) * zvstr(ji,jj)**3 / hbl(ji,jj) + zwbav(ji,jj) |
|---|
| 2132 | IF ( zdhdt(ji,jj) < 0._wp ) THEN |
|---|
| 2133 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
|---|
| 2134 | zpert = 2.0 * ( 1.0 + 0.0 * 2.0 * zvstr(ji,jj) * rn_rdt / hbl(ji,jj) ) * zvstr(ji,jj)**2 / hbl(ji,jj) |
|---|
| 2135 | ELSE |
|---|
| 2136 | zpert = MAX( zvstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) ) |
|---|
| 2137 | ENDIF |
|---|
| 2138 | zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln) |
|---|
| 2139 | zdhdt(ji,jj) = MAX(zdhdt(ji,jj), -hbl(ji,jj)/5400.) |
|---|
| 2140 | ENDIF ! lconv |
|---|
| 2141 | ELSE ! lshear |
|---|
| 2142 | IF ( lconv(ji,jj) ) THEN ! Convective |
|---|
| 2143 | |
|---|
| 2144 | IF ( ln_osm_mle ) THEN |
|---|
| 2145 | |
|---|
| 2146 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
|---|
| 2147 | ! Fox-Kemper buoyancy flux average over OSBL |
|---|
| 2148 | zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * & |
|---|
| 2149 | (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) ) |
|---|
| 2150 | ELSE |
|---|
| 2151 | zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
|---|
| 2152 | ENDIF |
|---|
| 2153 | zvel_max = ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
|---|
| 2154 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN |
|---|
| 2155 | ! OSBL is deepening, entrainment > restratification |
|---|
| 2156 | IF ( zdb_bl(ji,jj) > 0.0 .and. zdbdz_bl_ext(ji,jj) > 0.0 ) THEN |
|---|
| 2157 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
|---|
| 2158 | ELSE |
|---|
| 2159 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15) |
|---|
| 2160 | ENDIF |
|---|
| 2161 | ELSE |
|---|
| 2162 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
|---|
| 2163 | zdhdt(ji,jj) = - MIN(zvel_mle(ji,jj), hbl(ji,jj)/10800.) |
|---|
| 2164 | |
|---|
| 2165 | |
|---|
| 2166 | ENDIF |
|---|
| 2167 | |
|---|
| 2168 | ELSE |
|---|
| 2169 | ! Fox-Kemper not used. |
|---|
| 2170 | |
|---|
| 2171 | zvel_max = -zwb_ent(ji,jj) / & |
|---|
| 2172 | & MAX((zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln) |
|---|
| 2173 | zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
|---|
| 2174 | ! added ajgn 23 July as temporay fix |
|---|
| 2175 | |
|---|
| 2176 | ENDIF ! ln_osm_mle |
|---|
| 2177 | |
|---|
| 2178 | ELSE ! Stable |
|---|
| 2179 | zdhdt(ji,jj) = ( 0.06 + 0.52 * zhol(ji,jj) / 2.0 ) * zvstr(ji,jj)**3 / hbl(ji,jj) + zwbav(ji,jj) |
|---|
| 2180 | IF ( zdhdt(ji,jj) < 0._wp ) THEN |
|---|
| 2181 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
|---|
| 2182 | zpert = 2.0 * zvstr(ji,jj)**2 / hbl(ji,jj) |
|---|
| 2183 | ELSE |
|---|
| 2184 | zpert = MAX( zvstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) ) |
|---|
| 2185 | ENDIF |
|---|
| 2186 | zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln) |
|---|
| 2187 | zdhdt(ji,jj) = MAX(zdhdt(ji,jj), -hbl(ji,jj)/5400.) |
|---|
| 2188 | ENDIF ! lconv |
|---|
| 2189 | ENDIF ! lshear |
|---|
| 2190 | END DO |
|---|
| 2191 | END DO |
|---|
| 2192 | END SUBROUTINE zdf_osm_calculate_dhdt |
|---|
| 2193 | |
|---|
| 2194 | SUBROUTINE zdf_osm_timestep_hbl( zdhdt ) |
|---|
| 2195 | !!--------------------------------------------------------------------- |
|---|
| 2196 | !! *** ROUTINE zdf_osm_timestep_hbl *** |
|---|
| 2197 | !! |
|---|
| 2198 | !! ** Purpose : Increments hbl. |
|---|
| 2199 | !! |
|---|
| 2200 | !! ** Method : If thechange in hbl exceeds one model level the change is |
|---|
| 2201 | !! is calculated by moving down the grid, changing the buoyancy |
|---|
| 2202 | !! jump. This is to ensure that the change in hbl does not |
|---|
| 2203 | !! overshoot a stable layer. |
|---|
| 2204 | !! |
|---|
| 2205 | !!---------------------------------------------------------------------- |
|---|
| 2206 | |
|---|
| 2207 | |
|---|
| 2208 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! rates of change of hbl. |
|---|
| 2209 | |
|---|
| 2210 | INTEGER :: jk, jj, ji, jm |
|---|
| 2211 | REAL(wp) :: zhbl_s, zvel_max, zdb |
|---|
| 2212 | REAL(wp) :: zthermal, zbeta |
|---|
| 2213 | |
|---|
| 2214 | DO jj = 2, jpjm1 |
|---|
| 2215 | DO ji = 2, jpim1 |
|---|
| 2216 | IF ( ibld(ji,jj) - imld(ji,jj) > 1 ) THEN |
|---|
| 2217 | ! |
|---|
| 2218 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
|---|
| 2219 | ! |
|---|
| 2220 | zhbl_s = hbl(ji,jj) |
|---|
| 2221 | jm = imld(ji,jj) |
|---|
| 2222 | zthermal = rab_n(ji,jj,1,jp_tem) |
|---|
| 2223 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 2224 | |
|---|
| 2225 | |
|---|
| 2226 | IF ( lconv(ji,jj) ) THEN |
|---|
| 2227 | !unstable |
|---|
| 2228 | |
|---|
| 2229 | IF( ln_osm_mle ) THEN |
|---|
| 2230 | zvel_max = ( zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
|---|
| 2231 | ELSE |
|---|
| 2232 | |
|---|
| 2233 | 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) / & |
|---|
| 2234 | & ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
|---|
| 2235 | |
|---|
| 2236 | ENDIF |
|---|
| 2237 | |
|---|
| 2238 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 2239 | zdb = MAX( grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) ) & |
|---|
| 2240 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ), & |
|---|
| 2241 | & 0.0 ) + zvel_max |
|---|
| 2242 | |
|---|
| 2243 | |
|---|
| 2244 | IF ( ln_osm_mle ) THEN |
|---|
| 2245 | zhbl_s = zhbl_s + MIN( & |
|---|
| 2246 | & rn_rdt * ( ( -zwb_ent(ji,jj) - 2.0 * zwb_fk_b(ji,jj) )/ zdb ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
|---|
| 2247 | & e3w_n(ji,jj,jm) ) |
|---|
| 2248 | ELSE |
|---|
| 2249 | zhbl_s = zhbl_s + MIN( & |
|---|
| 2250 | & rn_rdt * ( -zwb_ent(ji,jj) / zdb ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
|---|
| 2251 | & e3w_n(ji,jj,jm) ) |
|---|
| 2252 | ENDIF |
|---|
| 2253 | |
|---|
| 2254 | ! zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
|---|
| 2255 | IF ( zhbl_s >= gdepw_n(ji,jj,mbkt(ji,jj) + 1) ) THEN |
|---|
| 2256 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
|---|
| 2257 | lpyc(ji,jj) = .FALSE. |
|---|
| 2258 | ENDIF |
|---|
| 2259 | IF ( zhbl_s >= gdepw_n(ji,jj,jm+1) ) jm = jm + 1 |
|---|
| 2260 | END DO |
|---|
| 2261 | hbl(ji,jj) = zhbl_s |
|---|
| 2262 | ibld(ji,jj) = jm |
|---|
| 2263 | ELSE |
|---|
| 2264 | ! stable |
|---|
| 2265 | DO jk = imld(ji,jj), ibld(ji,jj) |
|---|
| 2266 | zdb = MAX( & |
|---|
| 2267 | & grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) )& |
|---|
| 2268 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ),& |
|---|
| 2269 | & 0.0 ) + & |
|---|
| 2270 | & 2.0 * zvstr(ji,jj)**2 / zhbl_s |
|---|
| 2271 | |
|---|
| 2272 | ! Alan is thuis right? I have simply changed hbli to hbl |
|---|
| 2273 | zhol(ji,jj) = -zhbl_s / ( ( zvstr(ji,jj)**3 + epsln )/ zwbav(ji,jj) ) |
|---|
| 2274 | 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) ) ) * & |
|---|
| 2275 | & zustar(ji,jj)**3 / zhbl_s ) * ( 0.725 + 0.225 * EXP( -7.5 * zhol(ji,jj) ) ) |
|---|
| 2276 | zdhdt(ji,jj) = zdhdt(ji,jj) + zwbav(ji,jj) |
|---|
| 2277 | zhbl_s = zhbl_s + MIN( zdhdt(ji,jj) / zdb * rn_rdt / FLOAT( ibld(ji,jj) - imld(ji,jj) ), e3w_n(ji,jj,jm) ) |
|---|
| 2278 | |
|---|
| 2279 | ! zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
|---|
| 2280 | IF ( zhbl_s >= mbkt(ji,jj) + 1 ) THEN |
|---|
| 2281 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
|---|
| 2282 | lpyc(ji,jj) = .FALSE. |
|---|
| 2283 | ENDIF |
|---|
| 2284 | IF ( zhbl_s >= gdepw_n(ji,jj,jm) ) jm = jm + 1 |
|---|
| 2285 | END DO |
|---|
| 2286 | ENDIF ! IF ( lconv ) |
|---|
| 2287 | hbl(ji,jj) = MAX(zhbl_s, gdepw_n(ji,jj,4) ) |
|---|
| 2288 | ibld(ji,jj) = MAX(jm, 4 ) |
|---|
| 2289 | ELSE |
|---|
| 2290 | ! change zero or one model level. |
|---|
| 2291 | hbl(ji,jj) = MAX(zhbl_t(ji,jj), gdepw_n(ji,jj,4) ) |
|---|
| 2292 | ENDIF |
|---|
| 2293 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
|---|
| 2294 | END DO |
|---|
| 2295 | END DO |
|---|
| 2296 | |
|---|
| 2297 | END SUBROUTINE zdf_osm_timestep_hbl |
|---|
| 2298 | |
|---|
| 2299 | SUBROUTINE zdf_osm_pycnocline_thickness( dh, zdh ) |
|---|
| 2300 | !!--------------------------------------------------------------------- |
|---|
| 2301 | !! *** ROUTINE zdf_osm_pycnocline_thickness *** |
|---|
| 2302 | !! |
|---|
| 2303 | !! ** Purpose : Calculates thickness of the pycnocline |
|---|
| 2304 | !! |
|---|
| 2305 | !! ** Method : The thickness is calculated from a prognostic equation |
|---|
| 2306 | !! that relaxes the pycnocine thickness to a diagnostic |
|---|
| 2307 | !! value. The time change is calculated assuming the |
|---|
| 2308 | !! thickness relaxes exponentially. This is done to deal |
|---|
| 2309 | !! with large timesteps. |
|---|
| 2310 | !! |
|---|
| 2311 | !!---------------------------------------------------------------------- |
|---|
| 2312 | |
|---|
| 2313 | REAL(wp), DIMENSION(jpi,jpj) :: dh, zdh ! pycnocline thickness. |
|---|
| 2314 | ! |
|---|
| 2315 | INTEGER :: jj, ji |
|---|
| 2316 | INTEGER :: inhml |
|---|
| 2317 | REAL(wp) :: zari, ztau, zdh_ref, zddhdt, zvel_max |
|---|
| 2318 | REAL, PARAMETER :: a_ddh = 2.5, a_ddh_2 = 3.5 ! also in pycnocline_depth |
|---|
| 2319 | |
|---|
| 2320 | DO jj = 2, jpjm1 |
|---|
| 2321 | DO ji = 2, jpim1 |
|---|
| 2322 | |
|---|
| 2323 | IF ( lshear(ji,jj) ) THEN |
|---|
| 2324 | IF ( lconv(ji,jj) ) THEN |
|---|
| 2325 | IF ( zdb_bl(ji,jj) > 1.0e-15) THEN |
|---|
| 2326 | IF ( j_ddh(ji,jj) == 0 ) THEN |
|---|
| 2327 | zvel_max = ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
|---|
| 2328 | ! ddhdt for pycnocline determined in osm_calculate_dhdt |
|---|
| 2329 | zddhdt = -a_ddh * ( 1.0 - 1.6 * zdh(ji,jj) / zhbl(ji,jj) ) * zwb_ent(ji,jj) / ( zvel_max + MAX( zdb_bl(ji,jj), 1.0e-15 ) ) |
|---|
| 2330 | zddhdt = EXP( - 4.0 * ABS( ff_t(ji,jj) ) * zhbl(ji,jj) / MAX(zustar(ji,jj), 1.e-8 ) ) * zddhdt |
|---|
| 2331 | ! maximum limit for how thick the shear layer can grow relative to the thickness of the boundary kayer |
|---|
| 2332 | dh(ji,jj) = MIN( dh(ji,jj) + zddhdt * rn_rdt, 0.625 * hbl(ji,jj) ) |
|---|
| 2333 | ELSE |
|---|
| 2334 | ! Need to recalculate because hbl has been updated. |
|---|
| 2335 | IF ( ( zwstrc(ji,jj) / zvstr(ji,jj) )**3 <= 0.5 ) THEN |
|---|
| 2336 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
|---|
| 2337 | ELSE |
|---|
| 2338 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
|---|
| 2339 | ENDIF |
|---|
| 2340 | ztau = MAX( zdb_bl(ji,jj) * ( zari * hbl(ji,jj) ) / ( a_ddh_2 * MAX(-zwb_ent(ji,jj), 1.e-12) ), 2.0 * rn_rdt ) |
|---|
| 2341 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zari * zhbl(ji,jj) * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
|---|
| 2342 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zari * zhbl(ji,jj) |
|---|
| 2343 | ENDIF |
|---|
| 2344 | ELSE |
|---|
| 2345 | ztau = MAX( MAX( hbl(ji,jj) / ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln), 2.0 * rn_rdt ) |
|---|
| 2346 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + 0.2 * zhbl(ji,jj) * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
|---|
| 2347 | IF ( dh(ji,jj) > hbl(ji,jj) ) dh(ji,jj) = 0.2 * hbl(ji,jj) |
|---|
| 2348 | ENDIF |
|---|
| 2349 | ELSE ! lconv |
|---|
| 2350 | ! Initially shear only for entraining OSBL. Stable code will be needed if extended to stable OSBL |
|---|
| 2351 | |
|---|
| 2352 | ztau = hbl(ji,jj) / MAX(zvstr(ji,jj), epsln) |
|---|
| 2353 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
|---|
| 2354 | ! boundary layer deepening |
|---|
| 2355 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 2356 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
|---|
| 2357 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
|---|
| 2358 | & / MAX(zdb_bl(ji,jj) * zhbl(ji,jj), epsln ) + 0.01 , 0.2 ) |
|---|
| 2359 | zdh_ref = MIN( zari, 0.2 ) * hbl(ji,jj) |
|---|
| 2360 | ELSE |
|---|
| 2361 | zdh_ref = 0.2 * hbl(ji,jj) |
|---|
| 2362 | ENDIF |
|---|
| 2363 | ELSE ! IF(dhdt < 0) |
|---|
| 2364 | zdh_ref = 0.2 * hbl(ji,jj) |
|---|
| 2365 | ENDIF ! IF (dhdt >= 0) |
|---|
| 2366 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau )+ zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
|---|
| 2367 | IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! can be a problem with dh>hbl for rapid collapse |
|---|
| 2368 | ! Alan: this hml is never defined or used -- do we need it? |
|---|
| 2369 | ENDIF |
|---|
| 2370 | |
|---|
| 2371 | ELSE ! lshear |
|---|
| 2372 | ! for lshear = .FALSE. calculate ddhdt here |
|---|
| 2373 | |
|---|
| 2374 | IF ( lconv(ji,jj) ) THEN |
|---|
| 2375 | |
|---|
| 2376 | IF( ln_osm_mle ) THEN |
|---|
| 2377 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0._wp ) THEN |
|---|
| 2378 | ! OSBL is deepening. Note wb_fk_b is zero if ln_osm_mle=F |
|---|
| 2379 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_bl_ext(ji,jj) > 0._wp)THEN |
|---|
| 2380 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
|---|
| 2381 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
|---|
| 2382 | ELSE ! unstable |
|---|
| 2383 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
|---|
| 2384 | ENDIF |
|---|
| 2385 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 2386 | zdh_ref = zari * hbl(ji,jj) |
|---|
| 2387 | ELSE |
|---|
| 2388 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 2389 | zdh_ref = 0.2 * hbl(ji,jj) |
|---|
| 2390 | ENDIF |
|---|
| 2391 | ELSE |
|---|
| 2392 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 2393 | zdh_ref = 0.2 * hbl(ji,jj) |
|---|
| 2394 | ENDIF |
|---|
| 2395 | ELSE ! ln_osm_mle |
|---|
| 2396 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_bl_ext(ji,jj) > 0._wp)THEN |
|---|
| 2397 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
|---|
| 2398 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
|---|
| 2399 | ELSE ! unstable |
|---|
| 2400 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
|---|
| 2401 | ENDIF |
|---|
| 2402 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 2403 | zdh_ref = zari * hbl(ji,jj) |
|---|
| 2404 | ELSE |
|---|
| 2405 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
|---|
| 2406 | zdh_ref = 0.2 * hbl(ji,jj) |
|---|
| 2407 | ENDIF |
|---|
| 2408 | |
|---|
| 2409 | END IF ! ln_osm_mle |
|---|
| 2410 | |
|---|
| 2411 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
|---|
| 2412 | ! IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
|---|
| 2413 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
|---|
| 2414 | ! Alan: this hml is never defined or used |
|---|
| 2415 | ELSE ! IF (lconv) |
|---|
| 2416 | ztau = hbl(ji,jj) / MAX(zvstr(ji,jj), epsln) |
|---|
| 2417 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
|---|
| 2418 | ! boundary layer deepening |
|---|
| 2419 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
|---|
| 2420 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
|---|
| 2421 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
|---|
| 2422 | & / MAX(zdb_bl(ji,jj) * zhbl(ji,jj), epsln ) + 0.01 , 0.2 ) |
|---|
| 2423 | zdh_ref = MIN( zari, 0.2 ) * hbl(ji,jj) |
|---|
| 2424 | ELSE |
|---|
| 2425 | zdh_ref = 0.2 * hbl(ji,jj) |
|---|
| 2426 | ENDIF |
|---|
| 2427 | ELSE ! IF(dhdt < 0) |
|---|
| 2428 | zdh_ref = 0.2 * hbl(ji,jj) |
|---|
| 2429 | ENDIF ! IF (dhdt >= 0) |
|---|
| 2430 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau )+ zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
|---|
| 2431 | IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! can be a problem with dh>hbl for rapid collapse |
|---|
| 2432 | ENDIF ! IF (lconv) |
|---|
| 2433 | ENDIF ! lshear |
|---|
| 2434 | |
|---|
| 2435 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
|---|
| 2436 | inhml = MAX( INT( dh(ji,jj) / MAX(e3t_n(ji,jj,ibld(ji,jj)), 1.e-3) ) , 1 ) |
|---|
| 2437 | imld(ji,jj) = MAX( ibld(ji,jj) - inhml, 3) |
|---|
| 2438 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
|---|
| 2439 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
|---|
| 2440 | END DO |
|---|
| 2441 | END DO |
|---|
| 2442 | |
|---|
| 2443 | END SUBROUTINE zdf_osm_pycnocline_thickness |
|---|
| 2444 | |
|---|
| 2445 | |
|---|
| 2446 | SUBROUTINE zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) |
|---|
| 2447 | !!---------------------------------------------------------------------- |
|---|
| 2448 | !! *** ROUTINE zdf_osm_horizontal_gradients *** |
|---|
| 2449 | !! |
|---|
| 2450 | !! ** Purpose : Calculates horizontal gradients of buoyancy for use with Fox-Kemper parametrization. |
|---|
| 2451 | !! |
|---|
| 2452 | !! ** Method : |
|---|
| 2453 | !! |
|---|
| 2454 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
|---|
| 2455 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
|---|
| 2456 | |
|---|
| 2457 | |
|---|
| 2458 | REAL(wp), DIMENSION(jpi,jpj) :: dbdx_mle, dbdy_mle ! MLE horiz gradients at u & v points |
|---|
| 2459 | REAL(wp), DIMENSION(jpi,jpj) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient. |
|---|
| 2460 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! == estimated FK BLD used for MLE horiz gradients == ! |
|---|
| 2461 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy |
|---|
| 2462 | |
|---|
| 2463 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 2464 | INTEGER :: ii, ij, ik, ikmax ! local integers |
|---|
| 2465 | REAL(wp) :: zc |
|---|
| 2466 | REAL(wp) :: zN2_c ! local buoyancy difference from 10m value |
|---|
| 2467 | REAL(wp), DIMENSION(jpi,jpj) :: ztm, zsm, zLf_NH, zLf_MH |
|---|
| 2468 | REAL(wp), DIMENSION(jpi,jpj,jpts):: ztsm_midu, ztsm_midv, zabu, zabv |
|---|
| 2469 | REAL(wp), DIMENSION(jpi,jpj) :: zmld_midu, zmld_midv |
|---|
| 2470 | !!---------------------------------------------------------------------- |
|---|
| 2471 | ! |
|---|
| 2472 | ! !== MLD used for MLE ==! |
|---|
| 2473 | |
|---|
| 2474 | mld_prof(:,:) = nlb10 ! Initialization to the number of w ocean point |
|---|
| 2475 | zmld(:,:) = 0._wp ! here hmlp used as a dummy variable, integrating vertically N^2 |
|---|
| 2476 | zN2_c = grav * rn_osm_mle_rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
|---|
| 2477 | DO jk = nlb10, jpkm1 |
|---|
| 2478 | DO jj = 1, jpj ! Mixed layer level: w-level |
|---|
| 2479 | DO ji = 1, jpi |
|---|
| 2480 | ikt = mbkt(ji,jj) |
|---|
| 2481 | zmld(ji,jj) = zmld(ji,jj) + MAX( rn2b(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
|---|
| 2482 | IF( zmld(ji,jj) < zN2_c ) mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
|---|
| 2483 | END DO |
|---|
| 2484 | END DO |
|---|
| 2485 | END DO |
|---|
| 2486 | DO jj = 1, jpj |
|---|
| 2487 | DO ji = 1, jpi |
|---|
| 2488 | mld_prof(ji,jj) = MAX(mld_prof(ji,jj),ibld(ji,jj)) |
|---|
| 2489 | zmld(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
|---|
| 2490 | END DO |
|---|
| 2491 | END DO |
|---|
| 2492 | ! ensure mld_prof .ge. ibld |
|---|
| 2493 | ! |
|---|
| 2494 | ikmax = MIN( MAXVAL( mld_prof(:,:) ), jpkm1 ) ! max level of the computation |
|---|
| 2495 | ! |
|---|
| 2496 | ztm(:,:) = 0._wp |
|---|
| 2497 | zsm(:,:) = 0._wp |
|---|
| 2498 | DO jk = 1, ikmax ! MLD and mean buoyancy and N2 over the mixed layer |
|---|
| 2499 | DO jj = 1, jpj |
|---|
| 2500 | DO ji = 1, jpi |
|---|
| 2501 | zc = e3t_n(ji,jj,jk) * REAL( MIN( MAX( 0, mld_prof(ji,jj)-jk ) , 1 ) ) ! zc being 0 outside the ML t-points |
|---|
| 2502 | ztm(ji,jj) = ztm(ji,jj) + zc * tsn(ji,jj,jk,jp_tem) |
|---|
| 2503 | zsm(ji,jj) = zsm(ji,jj) + zc * tsn(ji,jj,jk,jp_sal) |
|---|
| 2504 | END DO |
|---|
| 2505 | END DO |
|---|
| 2506 | END DO |
|---|
| 2507 | ! average temperature and salinity. |
|---|
| 2508 | ztm(:,:) = ztm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
|---|
| 2509 | zsm(:,:) = zsm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
|---|
| 2510 | ! calculate horizontal gradients at u & v points |
|---|
| 2511 | |
|---|
| 2512 | DO jj = 2, jpjm1 |
|---|
| 2513 | DO ji = 1, jpim1 |
|---|
| 2514 | zdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
|---|
| 2515 | zdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
|---|
| 2516 | zmld_midu(ji,jj) = 0.25_wp * (zmld(ji+1,jj) + zmld( ji,jj)) |
|---|
| 2517 | ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji+1,jj) + ztm( ji,jj) ) |
|---|
| 2518 | ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji+1,jj) + zsm( ji,jj) ) |
|---|
| 2519 | END DO |
|---|
| 2520 | END DO |
|---|
| 2521 | |
|---|
| 2522 | DO jj = 1, jpjm1 |
|---|
| 2523 | DO ji = 2, jpim1 |
|---|
| 2524 | zdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
|---|
| 2525 | zdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
|---|
| 2526 | zmld_midv(ji,jj) = 0.25_wp * (zmld(ji,jj+1) + zmld( ji,jj)) |
|---|
| 2527 | ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji,jj+1) + ztm( ji,jj) ) |
|---|
| 2528 | ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji,jj+1) + zsm( ji,jj) ) |
|---|
| 2529 | END DO |
|---|
| 2530 | END DO |
|---|
| 2531 | |
|---|
| 2532 | ! ensure salinity > 0 in unset values so EOS doesn't give FP error with fpe0 on |
|---|
| 2533 | ztsm_midu(:,jpj,jp_sal) = 10. |
|---|
| 2534 | ztsm_midv(jpi,:,jp_sal) = 10. |
|---|
| 2535 | |
|---|
| 2536 | CALL eos_rab(ztsm_midu, zmld_midu, zabu) |
|---|
| 2537 | CALL eos_rab(ztsm_midv, zmld_midv, zabv) |
|---|
| 2538 | |
|---|
| 2539 | DO jj = 2, jpjm1 |
|---|
| 2540 | DO ji = 1, jpim1 |
|---|
| 2541 | dbdx_mle(ji,jj) = grav*(zdtdx(ji,jj)*zabu(ji,jj,jp_tem) - zdsdx(ji,jj)*zabu(ji,jj,jp_sal)) |
|---|
| 2542 | END DO |
|---|
| 2543 | END DO |
|---|
| 2544 | DO jj = 1, jpjm1 |
|---|
| 2545 | DO ji = 2, jpim1 |
|---|
| 2546 | dbdy_mle(ji,jj) = grav*(zdtdy(ji,jj)*zabv(ji,jj,jp_tem) - zdsdy(ji,jj)*zabv(ji,jj,jp_sal)) |
|---|
| 2547 | END DO |
|---|
| 2548 | END DO |
|---|
| 2549 | |
|---|
| 2550 | DO jj = 2, jpjm1 |
|---|
| 2551 | DO ji = 2, jpim1 |
|---|
| 2552 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
|---|
| 2553 | zdbds_mle(ji,jj) = SQRT( 0.5_wp * ( dbdx_mle(ji,jj) * dbdx_mle(ji,jj) + dbdy_mle(ji,jj) * dbdy_mle(ji,jj) & |
|---|
| 2554 | & + dbdx_mle(ji-1,jj) * dbdx_mle(ji-1,jj) + dbdy_mle(ji,jj-1) * dbdy_mle(ji,jj-1) ) ) |
|---|
| 2555 | END DO |
|---|
| 2556 | END DO |
|---|
| 2557 | |
|---|
| 2558 | END SUBROUTINE zdf_osm_zmld_horizontal_gradients |
|---|
| 2559 | SUBROUTINE zdf_osm_mle_parameters( zmld, mld_prof, hmle, zhmle, zvel_mle, zdiff_mle ) |
|---|
| 2560 | !!---------------------------------------------------------------------- |
|---|
| 2561 | !! *** ROUTINE zdf_osm_mle_parameters *** |
|---|
| 2562 | !! |
|---|
| 2563 | !! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates the mixed layer eddy fluxes for buoyancy, heat and salinity. |
|---|
| 2564 | !! |
|---|
| 2565 | !! ** Method : |
|---|
| 2566 | !! |
|---|
| 2567 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
|---|
| 2568 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
|---|
| 2569 | |
|---|
| 2570 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! == estimated FK BLD used for MLE horiz gradients == ! |
|---|
| 2571 | INTEGER, DIMENSION(jpi,jpj) :: mld_prof |
|---|
| 2572 | REAL(wp), DIMENSION(jpi,jpj) :: hmle, zhmle, zwb_fk, zvel_mle, zdiff_mle |
|---|
| 2573 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 2574 | INTEGER :: ii, ij, ik, jkb, jkb1 ! local integers |
|---|
| 2575 | INTEGER , DIMENSION(jpi,jpj) :: inml_mle |
|---|
| 2576 | REAL(wp) :: ztmp, zdbdz, zdtdz, zdsdz, zthermal,zbeta, zbuoy, zdb_mle |
|---|
| 2577 | |
|---|
| 2578 | ! Calculate vertical buoyancy, heat and salinity fluxes due to MLE. |
|---|
| 2579 | |
|---|
| 2580 | DO jj = 2, jpjm1 |
|---|
| 2581 | DO ji = 2, jpim1 |
|---|
| 2582 | IF ( lconv(ji,jj) ) THEN |
|---|
| 2583 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
|---|
| 2584 | ! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt. |
|---|
| 2585 | zvel_mle(ji,jj) = zdbds_mle(ji,jj) * ztmp * hmle(ji,jj) * tmask(ji,jj,1) |
|---|
| 2586 | zdiff_mle(ji,jj) = 5.e-4_wp * rn_osm_mle_ce * ztmp * zdbds_mle(ji,jj) * zhmle(ji,jj)**2 |
|---|
| 2587 | ENDIF |
|---|
| 2588 | END DO |
|---|
| 2589 | END DO |
|---|
| 2590 | ! Timestep mixed layer eddy depth. |
|---|
| 2591 | DO jj = 2, jpjm1 |
|---|
| 2592 | DO ji = 2, jpim1 |
|---|
| 2593 | IF ( lmle(ji,jj) ) THEN ! MLE layer growing. |
|---|
| 2594 | ! Buoyancy gradient at base of MLE layer. |
|---|
| 2595 | zthermal = rab_n(ji,jj,1,jp_tem) |
|---|
| 2596 | zbeta = rab_n(ji,jj,1,jp_sal) |
|---|
| 2597 | jkb = mld_prof(ji,jj) |
|---|
| 2598 | jkb1 = MIN(jkb + 1, mbkt(ji,jj)) |
|---|
| 2599 | ! |
|---|
| 2600 | zbuoy = grav * ( zthermal * tsn(ji,jj,mld_prof(ji,jj)+2,jp_tem) - zbeta * tsn(ji,jj,mld_prof(ji,jj)+2,jp_sal) ) |
|---|
| 2601 | zdb_mle = zb_bl(ji,jj) - zbuoy |
|---|
| 2602 | ! Timestep hmle. |
|---|
| 2603 | hmle(ji,jj) = hmle(ji,jj) + zwb0tot(ji,jj) * rn_rdt / zdb_mle |
|---|
| 2604 | ELSE |
|---|
| 2605 | IF ( zhmle(ji,jj) > zhbl(ji,jj) ) THEN |
|---|
| 2606 | hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt / rn_osm_mle_tau |
|---|
| 2607 | ELSE |
|---|
| 2608 | hmle(ji,jj) = hmle(ji,jj) - 10.0 * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt /rn_osm_mle_tau |
|---|
| 2609 | ENDIF |
|---|
| 2610 | ENDIF |
|---|
| 2611 | hmle(ji,jj) = MAX(MIN(hmle(ji,jj), ht_n(ji,jj)), gdepw_n(ji,jj,4)) |
|---|
| 2612 | IF(ln_osm_hmle_limit) hmle(ji,jj) = MIN(hmle(ji,jj), rn_osm_hmle_limit*hbl(ji,jj) ) |
|---|
| 2613 | ! For now try just set hmle to zmld |
|---|
| 2614 | hmle(ji,jj) = zmld(ji,jj) |
|---|
| 2615 | END DO |
|---|
| 2616 | END DO |
|---|
| 2617 | |
|---|
| 2618 | mld_prof = 4 |
|---|
| 2619 | DO jk = 5, jpkm1 |
|---|
| 2620 | DO jj = 2, jpjm1 |
|---|
| 2621 | DO ji = 2, jpim1 |
|---|
| 2622 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
|---|
| 2623 | END DO |
|---|
| 2624 | END DO |
|---|
| 2625 | END DO |
|---|
| 2626 | DO jj = 2, jpjm1 |
|---|
| 2627 | DO ji = 2, jpim1 |
|---|
| 2628 | zhmle(ji,jj) = gdepw_n(ji,jj, mld_prof(ji,jj)) |
|---|
| 2629 | END DO |
|---|
| 2630 | END DO |
|---|
| 2631 | END SUBROUTINE zdf_osm_mle_parameters |
|---|
| 2632 | |
|---|
| 2633 | END SUBROUTINE zdf_osm |
|---|
| 2634 | |
|---|
| 2635 | |
|---|
| 2636 | SUBROUTINE zdf_osm_init |
|---|
| 2637 | !!---------------------------------------------------------------------- |
|---|
| 2638 | !! *** ROUTINE zdf_osm_init *** |
|---|
| 2639 | !! |
|---|
| 2640 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
|---|
| 2641 | !! viscosity when using a osm turbulent closure scheme |
|---|
| 2642 | !! |
|---|
| 2643 | !! ** Method : Read the namosm namelist and check the parameters |
|---|
| 2644 | !! called at the first timestep (nit000) |
|---|
| 2645 | !! |
|---|
| 2646 | !! ** input : Namlist namosm |
|---|
| 2647 | !!---------------------------------------------------------------------- |
|---|
| 2648 | INTEGER :: ios ! local integer |
|---|
| 2649 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 2650 | REAL z1_t2 |
|---|
| 2651 | !! |
|---|
| 2652 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave & |
|---|
| 2653 | & ,nn_osm_wave, ln_dia_osm, rn_osm_hbl0, rn_zdfosm_adjust_sd & |
|---|
| 2654 | & ,ln_kpprimix, rn_riinfty, rn_difri, ln_convmix, rn_difconv, nn_osm_wave & |
|---|
| 2655 | & ,nn_osm_SD_reduce, ln_osm_mle, rn_osm_hblfrac, rn_osm_bl_thresh, ln_zdfosm_ice_shelter |
|---|
| 2656 | ! Namelist for Fox-Kemper parametrization. |
|---|
| 2657 | NAMELIST/namosm_mle/ nn_osm_mle, rn_osm_mle_ce, rn_osm_mle_lf, rn_osm_mle_time, rn_osm_mle_lat,& |
|---|
| 2658 | & rn_osm_mle_rho_c, rn_osm_mle_thresh, rn_osm_mle_tau, ln_osm_hmle_limit, rn_osm_hmle_limit |
|---|
| 2659 | |
|---|
| 2660 | !!---------------------------------------------------------------------- |
|---|
| 2661 | ! |
|---|
| 2662 | REWIND( numnam_ref ) ! Namelist namzdf_osm in reference namelist : Osmosis ML model |
|---|
| 2663 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
|---|
| 2664 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
|---|
| 2665 | |
|---|
| 2666 | REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy |
|---|
| 2667 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
|---|
| 2668 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
|---|
| 2669 | IF(lwm) WRITE ( numond, namzdf_osm ) |
|---|
| 2670 | |
|---|
| 2671 | IF(lwp) THEN ! Control print |
|---|
| 2672 | WRITE(numout,*) |
|---|
| 2673 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
|---|
| 2674 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 2675 | WRITE(numout,*) ' Namelist namzdf_osm : set osm mixing parameters' |
|---|
| 2676 | WRITE(numout,*) ' Use rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
|---|
| 2677 | WRITE(numout,*) ' Use MLE in OBL, i.e. Fox-Kemper param ln_osm_mle = ', ln_osm_mle |
|---|
| 2678 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
|---|
| 2679 | WRITE(numout,*) ' Stokes drift reduction factor rn_zdfosm_adjust_sd = ', rn_zdfosm_adjust_sd |
|---|
| 2680 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
|---|
| 2681 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
|---|
| 2682 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
|---|
| 2683 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
|---|
| 2684 | SELECT CASE (nn_osm_wave) |
|---|
| 2685 | CASE(0) |
|---|
| 2686 | WRITE(numout,*) ' calculated assuming constant La#=0.3' |
|---|
| 2687 | CASE(1) |
|---|
| 2688 | WRITE(numout,*) ' calculated from Pierson Moskowitz wind-waves' |
|---|
| 2689 | CASE(2) |
|---|
| 2690 | WRITE(numout,*) ' calculated from ECMWF wave fields' |
|---|
| 2691 | END SELECT |
|---|
| 2692 | WRITE(numout,*) ' Stokes drift reduction nn_osm_SD_reduce', nn_osm_SD_reduce |
|---|
| 2693 | WRITE(numout,*) ' fraction of hbl to average SD over/fit' |
|---|
| 2694 | WRITE(numout,*) ' exponential with nn_osm_SD_reduce = 1 or 2 rn_osm_hblfrac = ', rn_osm_hblfrac |
|---|
| 2695 | SELECT CASE (nn_osm_SD_reduce) |
|---|
| 2696 | CASE(0) |
|---|
| 2697 | WRITE(numout,*) ' No reduction' |
|---|
| 2698 | CASE(1) |
|---|
| 2699 | WRITE(numout,*) ' Average SD over upper rn_osm_hblfrac of BL' |
|---|
| 2700 | CASE(2) |
|---|
| 2701 | WRITE(numout,*) ' Fit exponential to slope rn_osm_hblfrac of BL' |
|---|
| 2702 | END SELECT |
|---|
| 2703 | WRITE(numout,*) ' reduce surface SD and depth scale under ice ln_zdfosm_ice_shelter=', ln_zdfosm_ice_shelter |
|---|
| 2704 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
|---|
| 2705 | WRITE(numout,*) ' Threshold used to define BL rn_osm_bl_thresh = ', rn_osm_bl_thresh, 'm^2/s' |
|---|
| 2706 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
|---|
| 2707 | WRITE(numout,*) ' local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
|---|
| 2708 | WRITE(numout,*) ' maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
|---|
| 2709 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
|---|
| 2710 | WRITE(numout,*) ' diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
|---|
| 2711 | ENDIF |
|---|
| 2712 | |
|---|
| 2713 | |
|---|
| 2714 | ! ! Check wave coupling settings ! |
|---|
| 2715 | ! ! Further work needed - see ticket #2447 ! |
|---|
| 2716 | IF( nn_osm_wave == 2 ) THEN |
|---|
| 2717 | IF (.NOT. ( ln_wave .AND. ln_sdw )) & |
|---|
| 2718 | & CALL ctl_stop( 'zdf_osm_init : ln_zdfosm and nn_osm_wave=2, ln_wave and ln_sdw must be true' ) |
|---|
| 2719 | END IF |
|---|
| 2720 | |
|---|
| 2721 | ! ! allocate zdfosm arrays |
|---|
| 2722 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
|---|
| 2723 | |
|---|
| 2724 | |
|---|
| 2725 | IF( ln_osm_mle ) THEN |
|---|
| 2726 | ! Initialise Fox-Kemper parametrization |
|---|
| 2727 | REWIND( numnam_ref ) ! Namelist namosm_mle in reference namelist : Tracer advection scheme |
|---|
| 2728 | READ ( numnam_ref, namosm_mle, IOSTAT = ios, ERR = 903) |
|---|
| 2729 | 903 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namosm_mle in reference namelist') |
|---|
| 2730 | |
|---|
| 2731 | REWIND( numnam_cfg ) ! Namelist namosm_mle in configuration namelist : Tracer advection scheme |
|---|
| 2732 | READ ( numnam_cfg, namosm_mle, IOSTAT = ios, ERR = 904 ) |
|---|
| 2733 | 904 IF( ios > 0 ) CALL ctl_nam ( ios , 'namosm_mle in configuration namelist') |
|---|
| 2734 | IF(lwm) WRITE ( numond, namosm_mle ) |
|---|
| 2735 | |
|---|
| 2736 | IF(lwp) THEN ! Namelist print |
|---|
| 2737 | WRITE(numout,*) |
|---|
| 2738 | WRITE(numout,*) 'zdf_osm_init : initialise mixed layer eddy (MLE)' |
|---|
| 2739 | WRITE(numout,*) '~~~~~~~~~~~~~' |
|---|
| 2740 | WRITE(numout,*) ' Namelist namosm_mle : ' |
|---|
| 2741 | WRITE(numout,*) ' MLE type: =0 standard Fox-Kemper ; =1 new formulation nn_osm_mle = ', nn_osm_mle |
|---|
| 2742 | WRITE(numout,*) ' magnitude of the MLE (typical value: 0.06 to 0.08) rn_osm_mle_ce = ', rn_osm_mle_ce |
|---|
| 2743 | WRITE(numout,*) ' scale of ML front (ML radius of deformation) (nn_osm_mle=0) rn_osm_mle_lf = ', rn_osm_mle_lf, 'm' |
|---|
| 2744 | WRITE(numout,*) ' maximum time scale of MLE (nn_osm_mle=0) rn_osm_mle_time = ', rn_osm_mle_time, 's' |
|---|
| 2745 | WRITE(numout,*) ' reference latitude (degrees) of MLE coef. (nn_osm_mle=1) rn_osm_mle_lat = ', rn_osm_mle_lat, 'deg' |
|---|
| 2746 | WRITE(numout,*) ' Density difference used to define ML for FK rn_osm_mle_rho_c = ', rn_osm_mle_rho_c |
|---|
| 2747 | WRITE(numout,*) ' Threshold used to define MLE for FK rn_osm_mle_thresh = ', rn_osm_mle_thresh, 'm^2/s' |
|---|
| 2748 | WRITE(numout,*) ' Timescale for OSM-FK rn_osm_mle_tau = ', rn_osm_mle_tau, 's' |
|---|
| 2749 | WRITE(numout,*) ' switch to limit hmle ln_osm_hmle_limit = ', ln_osm_hmle_limit |
|---|
| 2750 | WRITE(numout,*) ' fraction of zmld to limit hmle to if ln_osm_hmle_limit =.T. rn_osm_hmle_limit = ', rn_osm_hmle_limit |
|---|
| 2751 | ENDIF ! |
|---|
| 2752 | ENDIF |
|---|
| 2753 | ! |
|---|
| 2754 | IF(lwp) THEN |
|---|
| 2755 | WRITE(numout,*) |
|---|
| 2756 | IF( ln_osm_mle ) THEN |
|---|
| 2757 | WRITE(numout,*) ' ==>>> Mixed Layer Eddy induced transport added to OSMOSIS BL calculation' |
|---|
| 2758 | IF( nn_osm_mle == 0 ) WRITE(numout,*) ' Fox-Kemper et al 2010 formulation' |
|---|
| 2759 | IF( nn_osm_mle == 1 ) WRITE(numout,*) ' New formulation' |
|---|
| 2760 | ELSE |
|---|
| 2761 | WRITE(numout,*) ' ==>>> Mixed Layer induced transport NOT added to OSMOSIS BL calculation' |
|---|
| 2762 | ENDIF |
|---|
| 2763 | ENDIF |
|---|
| 2764 | ! |
|---|
| 2765 | IF( ln_osm_mle ) THEN ! MLE initialisation |
|---|
| 2766 | ! |
|---|
| 2767 | rb_c = grav * rn_osm_mle_rho_c /rau0 ! Mixed Layer buoyancy criteria |
|---|
| 2768 | IF(lwp) WRITE(numout,*) |
|---|
| 2769 | IF(lwp) WRITE(numout,*) ' ML buoyancy criteria = ', rb_c, ' m/s2 ' |
|---|
| 2770 | IF(lwp) WRITE(numout,*) ' associated ML density criteria defined in zdfmxl = ', rn_osm_mle_rho_c, 'kg/m3' |
|---|
| 2771 | ! |
|---|
| 2772 | IF( nn_osm_mle == 0 ) THEN ! MLE array allocation & initialisation ! |
|---|
| 2773 | ! |
|---|
| 2774 | ELSEIF( nn_osm_mle == 1 ) THEN ! MLE array allocation & initialisation |
|---|
| 2775 | rc_f = rn_osm_mle_ce/ ( 5.e3_wp * 2._wp * omega * SIN( rad * rn_osm_mle_lat ) ) |
|---|
| 2776 | ! |
|---|
| 2777 | ENDIF |
|---|
| 2778 | ! ! 1/(f^2+tau^2)^1/2 at t-point (needed in both nn_osm_mle case) |
|---|
| 2779 | z1_t2 = 2.e-5 |
|---|
| 2780 | do jj=1,jpj |
|---|
| 2781 | do ji = 1,jpi |
|---|
| 2782 | r1_ft(ji,jj) = MIN(1./( ABS(ff_t(ji,jj)) + epsln ), ABS(ff_t(ji,jj))/z1_t2**2) |
|---|
| 2783 | end do |
|---|
| 2784 | end do |
|---|
| 2785 | ! z1_t2 = 1._wp / ( rn_osm_mle_time * rn_osm_mle_timeji,jj ) |
|---|
| 2786 | ! r1_ft(:,:) = 1._wp / SQRT( ff_t(:,:) * ff_t(:,:) + z1_t2 ) |
|---|
| 2787 | ! |
|---|
| 2788 | ENDIF |
|---|
| 2789 | |
|---|
| 2790 | call osm_rst( nit000, 'READ' ) !* read or initialize hbl, dh, hmle |
|---|
| 2791 | |
|---|
| 2792 | |
|---|
| 2793 | IF( ln_zdfddm) THEN |
|---|
| 2794 | IF(lwp) THEN |
|---|
| 2795 | WRITE(numout,*) |
|---|
| 2796 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
|---|
| 2797 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
|---|
| 2798 | ENDIF |
|---|
| 2799 | ENDIF |
|---|
| 2800 | |
|---|
| 2801 | |
|---|
| 2802 | !set constants not in namelist |
|---|
| 2803 | !----------------------------- |
|---|
| 2804 | |
|---|
| 2805 | IF(lwp) THEN |
|---|
| 2806 | WRITE(numout,*) |
|---|
| 2807 | ENDIF |
|---|
| 2808 | |
|---|
| 2809 | IF (nn_osm_wave == 0) THEN |
|---|
| 2810 | dstokes(:,:) = rn_osm_dstokes |
|---|
| 2811 | END IF |
|---|
| 2812 | |
|---|
| 2813 | ! Horizontal average : initialization of weighting arrays |
|---|
| 2814 | ! ------------------- |
|---|
| 2815 | |
|---|
| 2816 | SELECT CASE ( nn_ave ) |
|---|
| 2817 | |
|---|
| 2818 | CASE ( 0 ) ! no horizontal average |
|---|
| 2819 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
|---|
| 2820 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
|---|
| 2821 | ! weighting mean arrays etmean |
|---|
| 2822 | ! ( 1 1 ) |
|---|
| 2823 | ! avt = 1/4 ( 1 1 ) |
|---|
| 2824 | ! |
|---|
| 2825 | etmean(:,:,:) = 0.e0 |
|---|
| 2826 | |
|---|
| 2827 | DO jk = 1, jpkm1 |
|---|
| 2828 | DO jj = 2, jpjm1 |
|---|
| 2829 | DO ji = 2, jpim1 ! vector opt. |
|---|
| 2830 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
|---|
| 2831 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
|---|
| 2832 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
|---|
| 2833 | END DO |
|---|
| 2834 | END DO |
|---|
| 2835 | END DO |
|---|
| 2836 | |
|---|
| 2837 | CASE ( 1 ) ! horizontal average |
|---|
| 2838 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
|---|
| 2839 | ! weighting mean arrays etmean |
|---|
| 2840 | ! ( 1/2 1 1/2 ) |
|---|
| 2841 | ! avt = 1/8 ( 1 2 1 ) |
|---|
| 2842 | ! ( 1/2 1 1/2 ) |
|---|
| 2843 | etmean(:,:,:) = 0.e0 |
|---|
| 2844 | |
|---|
| 2845 | DO jk = 1, jpkm1 |
|---|
| 2846 | DO jj = 2, jpjm1 |
|---|
| 2847 | DO ji = 2, jpim1 ! vector opt. |
|---|
| 2848 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
|---|
| 2849 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
|---|
| 2850 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
|---|
| 2851 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
|---|
| 2852 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
|---|
| 2853 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
|---|
| 2854 | END DO |
|---|
| 2855 | END DO |
|---|
| 2856 | END DO |
|---|
| 2857 | |
|---|
| 2858 | CASE DEFAULT |
|---|
| 2859 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
|---|
| 2860 | CALL ctl_stop( ctmp1 ) |
|---|
| 2861 | |
|---|
| 2862 | END SELECT |
|---|
| 2863 | |
|---|
| 2864 | ! Initialization of vertical eddy coef. to the background value |
|---|
| 2865 | ! ------------------------------------------------------------- |
|---|
| 2866 | DO jk = 1, jpk |
|---|
| 2867 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
|---|
| 2868 | END DO |
|---|
| 2869 | |
|---|
| 2870 | ! zero the surface flux for non local term and osm mixed layer depth |
|---|
| 2871 | ! ------------------------------------------------------------------ |
|---|
| 2872 | ghamt(:,:,:) = 0. |
|---|
| 2873 | ghams(:,:,:) = 0. |
|---|
| 2874 | ghamu(:,:,:) = 0. |
|---|
| 2875 | ghamv(:,:,:) = 0. |
|---|
| 2876 | ! |
|---|
| 2877 | IF( lwxios ) THEN |
|---|
| 2878 | CALL iom_set_rstw_var_active('wn') |
|---|
| 2879 | CALL iom_set_rstw_var_active('hbl') |
|---|
| 2880 | CALL iom_set_rstw_var_active('dh') |
|---|
| 2881 | IF( ln_osm_mle ) THEN |
|---|
| 2882 | CALL iom_set_rstw_var_active('hmle') |
|---|
| 2883 | END IF |
|---|
| 2884 | ENDIF |
|---|
| 2885 | END SUBROUTINE zdf_osm_init |
|---|
| 2886 | |
|---|
| 2887 | |
|---|
| 2888 | SUBROUTINE osm_rst( kt, cdrw ) |
|---|
| 2889 | !!--------------------------------------------------------------------- |
|---|
| 2890 | !! *** ROUTINE osm_rst *** |
|---|
| 2891 | !! |
|---|
| 2892 | !! ** Purpose : Read or write BL fields in restart file |
|---|
| 2893 | !! |
|---|
| 2894 | !! ** Method : use of IOM library. If the restart does not contain |
|---|
| 2895 | !! required fields, they are recomputed from stratification |
|---|
| 2896 | !!---------------------------------------------------------------------- |
|---|
| 2897 | |
|---|
| 2898 | INTEGER, INTENT(in) :: kt |
|---|
| 2899 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 2900 | |
|---|
| 2901 | INTEGER :: id1, id2, id3 ! iom enquiry index |
|---|
| 2902 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 2903 | INTEGER :: iiki, ikt ! local integer |
|---|
| 2904 | REAL(wp) :: zhbf ! tempory scalars |
|---|
| 2905 | REAL(wp) :: zN2_c ! local scalar |
|---|
| 2906 | REAL(wp) :: rho_c = 0.01_wp !: density criterion for mixed layer depth |
|---|
| 2907 | INTEGER, DIMENSION(jpi,jpj) :: imld_rst ! level of mixed-layer depth (pycnocline top) |
|---|
| 2908 | !!---------------------------------------------------------------------- |
|---|
| 2909 | ! |
|---|
| 2910 | !!----------------------------------------------------------------------------- |
|---|
| 2911 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
|---|
| 2912 | !!----------------------------------------------------------------------------- |
|---|
| 2913 | IF( TRIM(cdrw) == 'READ'.AND. ln_rstart) THEN |
|---|
| 2914 | id1 = iom_varid( numror, 'wn' , ldstop = .FALSE. ) |
|---|
| 2915 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
|---|
| 2916 | CALL iom_get( numror, jpdom_autoglo, 'wn', wn, ldxios = lrxios ) |
|---|
| 2917 | WRITE(numout,*) ' ===>>>> : wn read from restart file' |
|---|
| 2918 | ELSE |
|---|
| 2919 | wn(:,:,:) = 0._wp |
|---|
| 2920 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
|---|
| 2921 | END IF |
|---|
| 2922 | |
|---|
| 2923 | id1 = iom_varid( numror, 'hbl' , ldstop = .FALSE. ) |
|---|
| 2924 | id2 = iom_varid( numror, 'dh' , ldstop = .FALSE. ) |
|---|
| 2925 | IF( id1 > 0 .AND. id2 > 0) THEN ! 'hbl' exists; read and return |
|---|
| 2926 | CALL iom_get( numror, jpdom_autoglo, 'hbl' , hbl , ldxios = lrxios ) |
|---|
| 2927 | CALL iom_get( numror, jpdom_autoglo, 'dh', dh, ldxios = lrxios ) |
|---|
| 2928 | WRITE(numout,*) ' ===>>>> : hbl & dh read from restart file' |
|---|
| 2929 | IF( ln_osm_mle ) THEN |
|---|
| 2930 | id3 = iom_varid( numror, 'hmle' , ldstop = .FALSE. ) |
|---|
| 2931 | IF( id3 > 0) THEN |
|---|
| 2932 | CALL iom_get( numror, jpdom_autoglo, 'hmle' , hmle , ldxios = lrxios ) |
|---|
| 2933 | WRITE(numout,*) ' ===>>>> : hmle read from restart file' |
|---|
| 2934 | ELSE |
|---|
| 2935 | WRITE(numout,*) ' ===>>>> : hmle not found, set to hbl' |
|---|
| 2936 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
|---|
| 2937 | END IF |
|---|
| 2938 | END IF |
|---|
| 2939 | RETURN |
|---|
| 2940 | ELSE ! 'hbl' & 'dh' not in restart file, recalculate |
|---|
| 2941 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
|---|
| 2942 | END IF |
|---|
| 2943 | END IF |
|---|
| 2944 | |
|---|
| 2945 | !!----------------------------------------------------------------------------- |
|---|
| 2946 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
|---|
| 2947 | !!----------------------------------------------------------------------------- |
|---|
| 2948 | IF( TRIM(cdrw) == 'WRITE') THEN !* Write hbli into the restart file, then return |
|---|
| 2949 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
|---|
| 2950 | CALL iom_rstput( kt, nitrst, numrow, 'wn' , wn, ldxios = lwxios ) |
|---|
| 2951 | CALL iom_rstput( kt, nitrst, numrow, 'hbl' , hbl, ldxios = lwxios ) |
|---|
| 2952 | CALL iom_rstput( kt, nitrst, numrow, 'dh' , dh, ldxios = lwxios ) |
|---|
| 2953 | IF( ln_osm_mle ) THEN |
|---|
| 2954 | CALL iom_rstput( kt, nitrst, numrow, 'hmle', hmle, ldxios = lwxios ) |
|---|
| 2955 | END IF |
|---|
| 2956 | RETURN |
|---|
| 2957 | END IF |
|---|
| 2958 | |
|---|
| 2959 | !!----------------------------------------------------------------------------- |
|---|
| 2960 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
|---|
| 2961 | !!----------------------------------------------------------------------------- |
|---|
| 2962 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
|---|
| 2963 | ! w-level of the mixing and mixed layers |
|---|
| 2964 | CALL eos_rab( tsn, rab_n ) |
|---|
| 2965 | CALL bn2(tsn, rab_n, rn2) |
|---|
| 2966 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
|---|
| 2967 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
|---|
| 2968 | zN2_c = grav * rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
|---|
| 2969 | ! |
|---|
| 2970 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
|---|
| 2971 | DO jk = 1, jpkm1 |
|---|
| 2972 | DO jj = 1, jpj ! Mixed layer level: w-level |
|---|
| 2973 | DO ji = 1, jpi |
|---|
| 2974 | ikt = mbkt(ji,jj) |
|---|
| 2975 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
|---|
| 2976 | IF( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
|---|
| 2977 | END DO |
|---|
| 2978 | END DO |
|---|
| 2979 | END DO |
|---|
| 2980 | ! |
|---|
| 2981 | DO jj = 1, jpj |
|---|
| 2982 | DO ji = 1, jpi |
|---|
| 2983 | iiki = MAX(4,imld_rst(ji,jj)) |
|---|
| 2984 | hbl (ji,jj) = gdepw_n(ji,jj,iiki ) ! Turbocline depth |
|---|
| 2985 | dh (ji,jj) = e3t_n(ji,jj,iiki-1 ) ! Turbocline depth |
|---|
| 2986 | END DO |
|---|
| 2987 | END DO |
|---|
| 2988 | |
|---|
| 2989 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
|---|
| 2990 | |
|---|
| 2991 | IF( ln_osm_mle ) THEN |
|---|
| 2992 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
|---|
| 2993 | WRITE(numout,*) ' ===>>>> : hmle set = to hbl' |
|---|
| 2994 | END IF |
|---|
| 2995 | |
|---|
| 2996 | wn(:,:,:) = 0._wp |
|---|
| 2997 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
|---|
| 2998 | END SUBROUTINE osm_rst |
|---|
| 2999 | |
|---|
| 3000 | |
|---|
| 3001 | SUBROUTINE tra_osm( kt ) |
|---|
| 3002 | !!---------------------------------------------------------------------- |
|---|
| 3003 | !! *** ROUTINE tra_osm *** |
|---|
| 3004 | !! |
|---|
| 3005 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
|---|
| 3006 | !! |
|---|
| 3007 | !! ** Method : ??? |
|---|
| 3008 | !!---------------------------------------------------------------------- |
|---|
| 3009 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
|---|
| 3010 | !!---------------------------------------------------------------------- |
|---|
| 3011 | INTEGER, INTENT(in) :: kt |
|---|
| 3012 | INTEGER :: ji, jj, jk |
|---|
| 3013 | ! |
|---|
| 3014 | IF( kt == nit000 ) THEN |
|---|
| 3015 | IF(lwp) WRITE(numout,*) |
|---|
| 3016 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
|---|
| 3017 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 3018 | ENDIF |
|---|
| 3019 | |
|---|
| 3020 | IF( l_trdtra ) THEN !* Save ta and sa trends |
|---|
| 3021 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
|---|
| 3022 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
|---|
| 3023 | ENDIF |
|---|
| 3024 | |
|---|
| 3025 | DO jk = 1, jpkm1 |
|---|
| 3026 | DO jj = 2, jpjm1 |
|---|
| 3027 | DO ji = 2, jpim1 |
|---|
| 3028 | tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem) & |
|---|
| 3029 | & - ( ghamt(ji,jj,jk ) & |
|---|
| 3030 | & - ghamt(ji,jj,jk+1) ) /e3t_n(ji,jj,jk) |
|---|
| 3031 | tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal) & |
|---|
| 3032 | & - ( ghams(ji,jj,jk ) & |
|---|
| 3033 | & - ghams(ji,jj,jk+1) ) / e3t_n(ji,jj,jk) |
|---|
| 3034 | END DO |
|---|
| 3035 | END DO |
|---|
| 3036 | END DO |
|---|
| 3037 | |
|---|
| 3038 | ! save the non-local tracer flux trends for diagnostics |
|---|
| 3039 | IF( l_trdtra ) THEN |
|---|
| 3040 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
|---|
| 3041 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
|---|
| 3042 | |
|---|
| 3043 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_osm, ztrdt ) |
|---|
| 3044 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_osm, ztrds ) |
|---|
| 3045 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
|---|
| 3046 | ENDIF |
|---|
| 3047 | |
|---|
| 3048 | IF(ln_ctl) THEN |
|---|
| 3049 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' osm - Ta: ', mask1=tmask, & |
|---|
| 3050 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
|---|
| 3051 | ENDIF |
|---|
| 3052 | ! |
|---|
| 3053 | END SUBROUTINE tra_osm |
|---|
| 3054 | |
|---|
| 3055 | |
|---|
| 3056 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
|---|
| 3057 | !!---------------------------------------------------------------------- |
|---|
| 3058 | !! *** ROUTINE trc_osm *** |
|---|
| 3059 | !! |
|---|
| 3060 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
|---|
| 3061 | !! passive tracer flux |
|---|
| 3062 | !! |
|---|
| 3063 | !! |
|---|
| 3064 | !! ** Method : ??? |
|---|
| 3065 | !!---------------------------------------------------------------------- |
|---|
| 3066 | ! |
|---|
| 3067 | !!---------------------------------------------------------------------- |
|---|
| 3068 | INTEGER, INTENT(in) :: kt |
|---|
| 3069 | WRITE(*,*) 'trc_osm: Not written yet', kt |
|---|
| 3070 | END SUBROUTINE trc_osm |
|---|
| 3071 | |
|---|
| 3072 | |
|---|
| 3073 | SUBROUTINE dyn_osm( kt ) |
|---|
| 3074 | !!---------------------------------------------------------------------- |
|---|
| 3075 | !! *** ROUTINE dyn_osm *** |
|---|
| 3076 | !! |
|---|
| 3077 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
|---|
| 3078 | !! copied/modified from tra_osm |
|---|
| 3079 | !! |
|---|
| 3080 | !! ** Method : ??? |
|---|
| 3081 | !!---------------------------------------------------------------------- |
|---|
| 3082 | INTEGER, INTENT(in) :: kt ! |
|---|
| 3083 | ! |
|---|
| 3084 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 3085 | !!---------------------------------------------------------------------- |
|---|
| 3086 | ! |
|---|
| 3087 | IF( kt == nit000 ) THEN |
|---|
| 3088 | IF(lwp) WRITE(numout,*) |
|---|
| 3089 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
|---|
| 3090 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 3091 | ENDIF |
|---|
| 3092 | !code saving tracer trends removed, replace with trdmxl_oce |
|---|
| 3093 | |
|---|
| 3094 | DO jk = 1, jpkm1 ! add non-local u and v fluxes |
|---|
| 3095 | DO jj = 2, jpjm1 |
|---|
| 3096 | DO ji = 2, jpim1 |
|---|
| 3097 | ua(ji,jj,jk) = ua(ji,jj,jk) & |
|---|
| 3098 | & - ( ghamu(ji,jj,jk ) & |
|---|
| 3099 | & - ghamu(ji,jj,jk+1) ) / e3u_n(ji,jj,jk) |
|---|
| 3100 | va(ji,jj,jk) = va(ji,jj,jk) & |
|---|
| 3101 | & - ( ghamv(ji,jj,jk ) & |
|---|
| 3102 | & - ghamv(ji,jj,jk+1) ) / e3v_n(ji,jj,jk) |
|---|
| 3103 | END DO |
|---|
| 3104 | END DO |
|---|
| 3105 | END DO |
|---|
| 3106 | ! |
|---|
| 3107 | ! code for saving tracer trends removed |
|---|
| 3108 | ! |
|---|
| 3109 | END SUBROUTINE dyn_osm |
|---|
| 3110 | |
|---|
| 3111 | !!====================================================================== |
|---|
| 3112 | |
|---|
| 3113 | END MODULE zdfosm |
|---|
