| 1 | MODULE zdftmx |
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| 2 | !!======================================================================== |
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| 3 | !! *** MODULE zdftmx *** |
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| 4 | !! Ocean physics: Internal gravity wave-driven vertical mixing |
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| 5 | !!======================================================================== |
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| 6 | !! History : 1.0 ! 2004-04 (L. Bessieres, G. Madec) Original code |
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| 7 | !! - ! 2006-08 (A. Koch-Larrouy) Indonesian strait |
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| 8 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
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| 9 | !! 3.6 ! 2016-03 (C. de Lavergne) New param: internal wave-driven mixing |
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| 10 | !! 4.0 ! 2017-04 (G. Madec) Remove the old tidal mixing param. and key zdftmx(_new) |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! zdf_tmx : global momentum & tracer Kz with wave induced Kz |
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| 15 | !! zdf_tmx_init : global momentum & tracer Kz with wave induced Kz |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | USE oce ! ocean dynamics and tracers variables |
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| 18 | USE dom_oce ! ocean space and time domain variables |
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| 19 | USE zdf_oce ! ocean vertical physics variables |
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| 20 | USE zdfddm ! ocean vertical physics: double diffusive mixing |
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| 21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 22 | USE eosbn2 ! ocean equation of state |
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| 23 | USE phycst ! physical constants |
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| 24 | USE prtctl ! Print control |
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| 25 | USE in_out_manager ! I/O manager |
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| 26 | USE iom ! I/O Manager |
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| 27 | USE lib_mpp ! MPP library |
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| 28 | USE wrk_nemo ! work arrays |
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| 29 | USE timing ! Timing |
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| 30 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| 31 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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| 35 | PUBLIC zdf_tmx ! called in step module |
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| 36 | PUBLIC zdf_tmx_init ! called in nemogcm module |
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| 37 | PUBLIC zdf_tmx_alloc ! called in nemogcm module |
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| 38 | |
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| 39 | ! !!* Namelist namzdf_tmx : internal wave-driven mixing * |
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| 40 | INTEGER :: nn_zpyc ! pycnocline-intensified mixing energy proportional to N (=1) or N^2 (=2) |
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| 41 | LOGICAL :: ln_mevar ! variable (=T) or constant (=F) mixing efficiency |
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| 42 | LOGICAL :: ln_tsdiff ! account for differential T/S wave-driven mixing (=T) or not (=F) |
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| 43 | |
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| 44 | REAL(wp) :: r1_6 = 1._wp / 6._wp |
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| 45 | |
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| 46 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ebot_tmx ! power available from high-mode wave breaking (W/m2) |
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| 47 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: epyc_tmx ! power available from low-mode, pycnocline-intensified wave breaking (W/m2) |
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| 48 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ecri_tmx ! power available from low-mode, critical slope wave breaking (W/m2) |
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| 49 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbot_tmx ! WKB decay scale for high-mode energy dissipation (m) |
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| 50 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hcri_tmx ! decay scale for low-mode critical slope dissipation (m) |
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| 51 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: emix_tmx ! local energy density available for mixing (W/kg) |
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| 52 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: bflx_tmx ! buoyancy flux Kz * N^2 (W/kg) |
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| 53 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: pcmap_tmx ! vertically integrated buoyancy flux (W/m2) |
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| 54 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: zav_ratio ! S/T diffusivity ratio (only for ln_tsdiff=T) |
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| 55 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: zav_wave ! Internal wave-induced diffusivity |
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| 56 | |
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| 57 | !! * Substitutions |
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| 58 | # include "vectopt_loop_substitute.h90" |
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| 59 | !!---------------------------------------------------------------------- |
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| 60 | !! NEMO/OPA 4.0 , NEMO Consortium (2016) |
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| 61 | !! $Id$ |
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| 62 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | CONTAINS |
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| 65 | |
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| 66 | INTEGER FUNCTION zdf_tmx_alloc() |
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| 67 | !!---------------------------------------------------------------------- |
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| 68 | !! *** FUNCTION zdf_tmx_alloc *** |
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| 69 | !!---------------------------------------------------------------------- |
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| 70 | ALLOCATE( ebot_tmx(jpi,jpj), epyc_tmx(jpi,jpj), ecri_tmx(jpi,jpj) , & |
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| 71 | & hbot_tmx(jpi,jpj), hcri_tmx(jpi,jpj), emix_tmx(jpi,jpj,jpk), & |
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| 72 | & bflx_tmx(jpi,jpj,jpk), pcmap_tmx(jpi,jpj), zav_ratio(jpi,jpj,jpk), & |
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| 73 | & zav_wave(jpi,jpj,jpk), STAT=zdf_tmx_alloc ) |
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| 74 | ! |
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| 75 | IF( lk_mpp ) CALL mpp_sum ( zdf_tmx_alloc ) |
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| 76 | IF( zdf_tmx_alloc /= 0 ) CALL ctl_warn('zdf_tmx_alloc: failed to allocate arrays') |
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| 77 | END FUNCTION zdf_tmx_alloc |
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| 78 | |
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| 79 | |
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| 80 | SUBROUTINE zdf_tmx( kt ) |
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| 81 | !!---------------------------------------------------------------------- |
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| 82 | !! *** ROUTINE zdf_tmx *** |
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| 83 | !! |
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| 84 | !! ** Purpose : add to the vertical mixing coefficients the effect of |
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| 85 | !! breaking internal waves. |
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| 86 | !! |
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| 87 | !! ** Method : - internal wave-driven vertical mixing is given by: |
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| 88 | !! Kz_wave = min( 100 cm2/s, f( Reb = emix_tmx /( Nu * N^2 ) ) |
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| 89 | !! where emix_tmx is the 3D space distribution of the wave-breaking |
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| 90 | !! energy and Nu the molecular kinematic viscosity. |
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| 91 | !! The function f(Reb) is linear (constant mixing efficiency) |
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| 92 | !! if the namelist parameter ln_mevar = F and nonlinear if ln_mevar = T. |
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| 93 | !! |
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| 94 | !! - Compute emix_tmx, the 3D power density that allows to compute |
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| 95 | !! Reb and therefrom the wave-induced vertical diffusivity. |
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| 96 | !! This is divided into three components: |
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| 97 | !! 1. Bottom-intensified low-mode dissipation at critical slopes |
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| 98 | !! emix_tmx(z) = ( ecri_tmx / rau0 ) * EXP( -(H-z)/hcri_tmx ) |
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| 99 | !! / ( 1. - EXP( - H/hcri_tmx ) ) * hcri_tmx |
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| 100 | !! where hcri_tmx is the characteristic length scale of the bottom |
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| 101 | !! intensification, ecri_tmx a map of available power, and H the ocean depth. |
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| 102 | !! 2. Pycnocline-intensified low-mode dissipation |
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| 103 | !! emix_tmx(z) = ( epyc_tmx / rau0 ) * ( sqrt(rn2(z))^nn_zpyc ) |
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| 104 | !! / SUM( sqrt(rn2(z))^nn_zpyc * e3w(z) ) |
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| 105 | !! where epyc_tmx is a map of available power, and nn_zpyc |
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| 106 | !! is the chosen stratification-dependence of the internal wave |
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| 107 | !! energy dissipation. |
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| 108 | !! 3. WKB-height dependent high mode dissipation |
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| 109 | !! emix_tmx(z) = ( ebot_tmx / rau0 ) * rn2(z) * EXP(-z_wkb(z)/hbot_tmx) |
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| 110 | !! / SUM( rn2(z) * EXP(-z_wkb(z)/hbot_tmx) * e3w(z) ) |
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| 111 | !! where hbot_tmx is the characteristic length scale of the WKB bottom |
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| 112 | !! intensification, ebot_tmx is a map of available power, and z_wkb is the |
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| 113 | !! WKB-stretched height above bottom defined as |
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| 114 | !! z_wkb(z) = H * SUM( sqrt(rn2(z'>=z)) * e3w(z'>=z) ) |
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| 115 | !! / SUM( sqrt(rn2(z')) * e3w(z') ) |
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| 116 | !! |
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| 117 | !! - update the model vertical eddy viscosity and diffusivity: |
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| 118 | !! avt = avt + av_wave |
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| 119 | !! avm = avm + av_wave |
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| 120 | !! avmu = avmu + mi(av_wave) |
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| 121 | !! avmv = avmv + mj(av_wave) |
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| 122 | !! |
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| 123 | !! - if namelist parameter ln_tsdiff = T, account for differential mixing: |
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| 124 | !! avs = avt + av_wave * diffusivity_ratio(Reb) |
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| 125 | !! |
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| 126 | !! ** Action : - Define emix_tmx used to compute internal wave-induced mixing |
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| 127 | !! - avt, avs, avm, avmu, avmv increased by internal wave-driven mixing |
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| 128 | !! |
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| 129 | !! References : de Lavergne et al. 2015, JPO; 2016, in prep. |
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| 130 | !!---------------------------------------------------------------------- |
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| 131 | INTEGER, INTENT(in) :: kt ! ocean time-step |
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| 132 | ! |
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| 133 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 134 | REAL(wp) :: ztpc ! scalar workspace |
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| 135 | REAL(wp), DIMENSION(:,:) , POINTER :: zfact ! Used for vertical structure |
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| 136 | REAL(wp), DIMENSION(:,:) , POINTER :: zhdep ! Ocean depth |
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| 137 | REAL(wp), DIMENSION(:,:,:), POINTER :: zwkb ! WKB-stretched height above bottom |
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| 138 | REAL(wp), DIMENSION(:,:,:), POINTER :: zweight ! Weight for high mode vertical distribution |
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| 139 | REAL(wp), DIMENSION(:,:,:), POINTER :: znu_t ! Molecular kinematic viscosity (T grid) |
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| 140 | REAL(wp), DIMENSION(:,:,:), POINTER :: znu_w ! Molecular kinematic viscosity (W grid) |
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| 141 | REAL(wp), DIMENSION(:,:,:), POINTER :: zReb ! Turbulence intensity parameter |
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| 142 | !!---------------------------------------------------------------------- |
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| 143 | ! |
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| 144 | IF( nn_timing == 1 ) CALL timing_start('zdf_tmx') |
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| 145 | ! |
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| 146 | CALL wrk_alloc( jpi,jpj, zfact, zhdep ) |
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| 147 | CALL wrk_alloc( jpi,jpj,jpk, zwkb, zweight, znu_t, znu_w, zReb ) |
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| 148 | |
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| 149 | ! ! ----------------------------- ! |
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| 150 | ! ! Internal wave-driven mixing ! (compute zav_wave) |
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| 151 | ! ! ----------------------------- ! |
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| 152 | ! |
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| 153 | ! !* Critical slope mixing: distribute energy over the time-varying ocean depth, |
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| 154 | ! using an exponential decay from the seafloor. |
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| 155 | DO jj = 1, jpj ! part independent of the level |
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| 156 | DO ji = 1, jpi |
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| 157 | zhdep(ji,jj) = gdepw_0(ji,jj,mbkt(ji,jj)+1) ! depth of the ocean |
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| 158 | zfact(ji,jj) = rau0 * ( 1._wp - EXP( -zhdep(ji,jj) / hcri_tmx(ji,jj) ) ) |
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| 159 | IF( zfact(ji,jj) /= 0 ) zfact(ji,jj) = ecri_tmx(ji,jj) / zfact(ji,jj) |
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| 160 | END DO |
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| 161 | END DO |
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| 162 | |
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| 163 | DO jk = 2, jpkm1 ! complete with the level-dependent part |
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| 164 | emix_tmx(:,:,jk) = zfact(:,:) * ( EXP( ( gde3w_n(:,:,jk ) - zhdep(:,:) ) / hcri_tmx(:,:) ) & |
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| 165 | & - EXP( ( gde3w_n(:,:,jk-1) - zhdep(:,:) ) / hcri_tmx(:,:) ) ) * wmask(:,:,jk) & |
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| 166 | !!gm delta(gde3w_n) = e3t_n !! Please verify the grid-point position w versus t-point |
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| 167 | & / ( gde3w_n(:,:,jk) - gde3w_n(:,:,jk-1) ) |
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| 168 | END DO |
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| 169 | |
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| 170 | ! !* Pycnocline-intensified mixing: distribute energy over the time-varying |
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| 171 | ! !* ocean depth as proportional to sqrt(rn2)^nn_zpyc |
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| 172 | |
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| 173 | SELECT CASE ( nn_zpyc ) |
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| 174 | |
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| 175 | CASE ( 1 ) ! Dissipation scales as N (recommended) |
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| 176 | |
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| 177 | zfact(:,:) = 0._wp |
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| 178 | DO jk = 2, jpkm1 ! part independent of the level |
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| 179 | zfact(:,:) = zfact(:,:) + e3w_n(:,:,jk) * SQRT( MAX( 0._wp, rn2(:,:,jk) ) ) * wmask(:,:,jk) |
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| 180 | END DO |
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| 181 | |
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| 182 | DO jj = 1, jpj |
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| 183 | DO ji = 1, jpi |
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| 184 | IF( zfact(ji,jj) /= 0 ) zfact(ji,jj) = epyc_tmx(ji,jj) / ( rau0 * zfact(ji,jj) ) |
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| 185 | END DO |
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| 186 | END DO |
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| 187 | |
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| 188 | DO jk = 2, jpkm1 ! complete with the level-dependent part |
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| 189 | emix_tmx(:,:,jk) = emix_tmx(:,:,jk) + zfact(:,:) * SQRT( MAX( 0._wp, rn2(:,:,jk) ) ) * wmask(:,:,jk) |
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| 190 | END DO |
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| 191 | |
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| 192 | CASE ( 2 ) ! Dissipation scales as N^2 |
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| 193 | |
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| 194 | zfact(:,:) = 0._wp |
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| 195 | DO jk = 2, jpkm1 ! part independent of the level |
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| 196 | zfact(:,:) = zfact(:,:) + e3w_n(:,:,jk) * MAX( 0._wp, rn2(:,:,jk) ) * wmask(:,:,jk) |
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| 197 | END DO |
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| 198 | |
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| 199 | DO jj= 1, jpj |
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| 200 | DO ji = 1, jpi |
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| 201 | IF( zfact(ji,jj) /= 0 ) zfact(ji,jj) = epyc_tmx(ji,jj) / ( rau0 * zfact(ji,jj) ) |
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| 202 | END DO |
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| 203 | END DO |
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| 204 | |
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| 205 | DO jk = 2, jpkm1 ! complete with the level-dependent part |
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| 206 | emix_tmx(:,:,jk) = emix_tmx(:,:,jk) + zfact(:,:) * MAX( 0._wp, rn2(:,:,jk) ) * wmask(:,:,jk) |
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| 207 | END DO |
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| 208 | |
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| 209 | END SELECT |
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| 210 | |
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| 211 | ! !* WKB-height dependent mixing: distribute energy over the time-varying |
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| 212 | ! !* ocean depth as proportional to rn2 * exp(-z_wkb/rn_hbot) |
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| 213 | |
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| 214 | zwkb(:,:,:) = 0._wp |
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| 215 | zfact(:,:) = 0._wp |
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| 216 | DO jk = 2, jpkm1 |
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| 217 | zfact(:,:) = zfact(:,:) + e3w_n(:,:,jk) * SQRT( MAX( 0._wp, rn2(:,:,jk) ) ) * wmask(:,:,jk) |
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| 218 | zwkb(:,:,jk) = zfact(:,:) |
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| 219 | END DO |
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| 220 | |
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| 221 | DO jk = 2, jpkm1 |
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| 222 | DO jj = 1, jpj |
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| 223 | DO ji = 1, jpi |
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| 224 | IF( zfact(ji,jj) /= 0 ) zwkb(ji,jj,jk) = zhdep(ji,jj) * ( zfact(ji,jj) - zwkb(ji,jj,jk) ) & |
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| 225 | & * tmask(ji,jj,jk) / zfact(ji,jj) |
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| 226 | END DO |
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| 227 | END DO |
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| 228 | END DO |
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| 229 | zwkb(:,:,1) = zhdep(:,:) * tmask(:,:,1) |
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| 230 | |
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| 231 | zweight(:,:,:) = 0._wp |
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| 232 | DO jk = 2, jpkm1 |
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| 233 | zweight(:,:,jk) = MAX( 0._wp, rn2(:,:,jk) ) * hbot_tmx(:,:) * wmask(:,:,jk) & |
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| 234 | & * ( EXP( -zwkb(:,:,jk) / hbot_tmx(:,:) ) - EXP( -zwkb(:,:,jk-1) / hbot_tmx(:,:) ) ) |
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| 235 | END DO |
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| 236 | |
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| 237 | zfact(:,:) = 0._wp |
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| 238 | DO jk = 2, jpkm1 ! part independent of the level |
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| 239 | zfact(:,:) = zfact(:,:) + zweight(:,:,jk) |
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| 240 | END DO |
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| 241 | |
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| 242 | DO jj = 1, jpj |
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| 243 | DO ji = 1, jpi |
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| 244 | IF( zfact(ji,jj) /= 0 ) zfact(ji,jj) = ebot_tmx(ji,jj) / ( rau0 * zfact(ji,jj) ) |
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| 245 | END DO |
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| 246 | END DO |
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| 247 | |
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| 248 | DO jk = 2, jpkm1 ! complete with the level-dependent part |
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| 249 | emix_tmx(:,:,jk) = emix_tmx(:,:,jk) + zweight(:,:,jk) * zfact(:,:) * wmask(:,:,jk) & |
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| 250 | & / ( gde3w_n(:,:,jk) - gde3w_n(:,:,jk-1) ) |
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| 251 | END DO |
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| 252 | |
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| 253 | |
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| 254 | ! Calculate molecular kinematic viscosity |
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| 255 | znu_t(:,:,:) = 1.e-4_wp * ( 17.91_wp - 0.53810_wp * tsn(:,:,:,jp_tem) + 0.00694_wp * tsn(:,:,:,jp_tem) * tsn(:,:,:,jp_tem) & |
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| 256 | & + 0.02305_wp * tsn(:,:,:,jp_sal) ) * tmask(:,:,:) * r1_rau0 |
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| 257 | DO jk = 2, jpkm1 |
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| 258 | znu_w(:,:,jk) = 0.5_wp * ( znu_t(:,:,jk-1) + znu_t(:,:,jk) ) * wmask(:,:,jk) |
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| 259 | END DO |
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| 260 | |
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| 261 | ! Calculate turbulence intensity parameter Reb |
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| 262 | DO jk = 2, jpkm1 |
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| 263 | zReb(:,:,jk) = emix_tmx(:,:,jk) / MAX( 1.e-20_wp, znu_w(:,:,jk) * rn2(:,:,jk) ) |
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| 264 | END DO |
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| 265 | |
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| 266 | ! Define internal wave-induced diffusivity |
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| 267 | DO jk = 2, jpkm1 |
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| 268 | zav_wave(:,:,jk) = znu_w(:,:,jk) * zReb(:,:,jk) * r1_6 ! This corresponds to a constant mixing efficiency of 1/6 |
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| 269 | END DO |
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| 270 | |
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| 271 | IF( ln_mevar ) THEN ! Variable mixing efficiency case : modify zav_wave in the |
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| 272 | DO jk = 2, jpkm1 ! energetic (Reb > 480) and buoyancy-controlled (Reb <10.224 ) regimes |
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| 273 | DO jj = 1, jpj |
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| 274 | DO ji = 1, jpi |
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| 275 | IF( zReb(ji,jj,jk) > 480.00_wp ) THEN |
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| 276 | zav_wave(ji,jj,jk) = 3.6515_wp * znu_w(ji,jj,jk) * SQRT( zReb(ji,jj,jk) ) |
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| 277 | ELSEIF( zReb(ji,jj,jk) < 10.224_wp ) THEN |
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| 278 | zav_wave(ji,jj,jk) = 0.052125_wp * znu_w(ji,jj,jk) * zReb(ji,jj,jk) * SQRT( zReb(ji,jj,jk) ) |
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| 279 | ENDIF |
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| 280 | END DO |
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| 281 | END DO |
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| 282 | END DO |
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| 283 | ENDIF |
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| 284 | |
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| 285 | DO jk = 2, jpkm1 ! Bound diffusivity by molecular value and 100 cm2/s |
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| 286 | zav_wave(:,:,jk) = MIN( MAX( 1.4e-7_wp, zav_wave(:,:,jk) ), 1.e-2_wp ) * wmask(:,:,jk) |
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| 287 | END DO |
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| 288 | |
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| 289 | IF( kt == nit000 ) THEN !* Control print at first time-step: diagnose the energy consumed by zav_wave |
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| 290 | ztpc = 0._wp |
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| 291 | !!gm used of glosum 3D.... |
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| 292 | DO jk = 2, jpkm1 |
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| 293 | DO jj = 1, jpj |
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| 294 | DO ji = 1, jpi |
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| 295 | ztpc = ztpc + e3w_n(ji,jj,jk) * e1e2t(ji,jj) & |
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| 296 | & * MAX( 0._wp, rn2(ji,jj,jk) ) * zav_wave(ji,jj,jk) * wmask(ji,jj,jk) * tmask_i(ji,jj) |
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| 297 | END DO |
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| 298 | END DO |
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| 299 | END DO |
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| 300 | IF( lk_mpp ) CALL mpp_sum( ztpc ) |
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| 301 | ztpc = rau0 * ztpc ! Global integral of rauo * Kz * N^2 = power contributing to mixing |
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| 302 | |
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| 303 | IF(lwp) THEN |
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| 304 | WRITE(numout,*) |
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| 305 | WRITE(numout,*) 'zdf_tmx : Internal wave-driven mixing (tmx)' |
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| 306 | WRITE(numout,*) '~~~~~~~ ' |
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| 307 | WRITE(numout,*) |
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| 308 | WRITE(numout,*) ' Total power consumption by av_wave: ztpc = ', ztpc * 1.e-12_wp, 'TW' |
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| 309 | ENDIF |
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| 310 | ENDIF |
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| 311 | |
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| 312 | ! ! ----------------------- ! |
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| 313 | ! ! Update mixing coefs ! |
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| 314 | ! ! ----------------------- ! |
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| 315 | ! |
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| 316 | IF( ln_tsdiff ) THEN !* Option for differential mixing of salinity and temperature |
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| 317 | DO jk = 2, jpkm1 ! Calculate S/T diffusivity ratio as a function of Reb |
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| 318 | DO jj = 1, jpj |
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| 319 | DO ji = 1, jpi |
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| 320 | zav_ratio(ji,jj,jk) = ( 0.505_wp + 0.495_wp * & |
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| 321 | & TANH( 0.92_wp * ( LOG10( MAX( 1.e-20_wp, zReb(ji,jj,jk) * 5._wp * r1_6 ) ) - 0.60_wp ) ) & |
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| 322 | & ) * wmask(ji,jj,jk) |
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| 323 | END DO |
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| 324 | END DO |
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| 325 | END DO |
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| 326 | CALL iom_put( "av_ratio", zav_ratio ) |
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| 327 | DO jk = 2, jpkm1 !* update momentum & tracer diffusivity with wave-driven mixing |
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| 328 | avs(:,:,jk) = avs(:,:,jk) + zav_wave(:,:,jk) * zav_ratio(:,:,jk) |
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| 329 | avt(:,:,jk) = avt(:,:,jk) + zav_wave(:,:,jk) |
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| 330 | avm(:,:,jk) = avm(:,:,jk) + zav_wave(:,:,jk) |
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| 331 | END DO |
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| 332 | ! |
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| 333 | ELSE !* update momentum & tracer diffusivity with wave-driven mixing |
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| 334 | DO jk = 2, jpkm1 |
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| 335 | avs(:,:,jk) = avs(:,:,jk) + zav_wave(:,:,jk) |
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| 336 | avt(:,:,jk) = avt(:,:,jk) + zav_wave(:,:,jk) |
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| 337 | avm(:,:,jk) = avm(:,:,jk) + zav_wave(:,:,jk) |
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| 338 | END DO |
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| 339 | ENDIF |
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| 340 | |
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| 341 | DO jk = 2, jpkm1 !* update momentum diffusivity at wu and wv points |
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| 342 | DO jj = 2, jpjm1 |
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| 343 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 344 | avmu(ji,jj,jk) = avmu(ji,jj,jk) + 0.5_wp * ( zav_wave(ji,jj,jk) + zav_wave(ji+1,jj ,jk) ) * wumask(ji,jj,jk) |
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| 345 | avmv(ji,jj,jk) = avmv(ji,jj,jk) + 0.5_wp * ( zav_wave(ji,jj,jk) + zav_wave(ji ,jj+1,jk) ) * wvmask(ji,jj,jk) |
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| 346 | END DO |
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| 347 | END DO |
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| 348 | END DO |
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| 349 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! lateral boundary condition |
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| 350 | |
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| 351 | ! !* output internal wave-driven mixing coefficient |
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| 352 | CALL iom_put( "av_wave", zav_wave ) |
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| 353 | !* output useful diagnostics: N^2, Kz * N^2 (bflx_tmx), |
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| 354 | ! vertical integral of rau0 * Kz * N^2 (pcmap_tmx), energy density (emix_tmx) |
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| 355 | IF( iom_use("bflx_tmx") .OR. iom_use("pcmap_tmx") ) THEN |
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| 356 | bflx_tmx(:,:,:) = MAX( 0._wp, rn2(:,:,:) ) * zav_wave(:,:,:) |
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| 357 | pcmap_tmx(:,:) = 0._wp |
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| 358 | DO jk = 2, jpkm1 |
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| 359 | pcmap_tmx(:,:) = pcmap_tmx(:,:) + e3w_n(:,:,jk) * bflx_tmx(:,:,jk) * wmask(:,:,jk) |
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| 360 | END DO |
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| 361 | pcmap_tmx(:,:) = rau0 * pcmap_tmx(:,:) |
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| 362 | CALL iom_put( "bflx_tmx", bflx_tmx ) |
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| 363 | CALL iom_put( "pcmap_tmx", pcmap_tmx ) |
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| 364 | ENDIF |
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| 365 | CALL iom_put( "bn2", rn2 ) |
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| 366 | CALL iom_put( "emix_tmx", emix_tmx ) |
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| 367 | |
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| 368 | CALL wrk_dealloc( jpi,jpj, zfact, zhdep ) |
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| 369 | CALL wrk_dealloc( jpi,jpj,jpk, zwkb, zweight, znu_t, znu_w, zReb ) |
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| 370 | |
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| 371 | IF(ln_ctl) CALL prt_ctl(tab3d_1=zav_wave , clinfo1=' tmx - av_wave: ', tab3d_2=avt, clinfo2=' avt: ', ovlap=1, kdim=jpk) |
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| 372 | ! |
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| 373 | IF( nn_timing == 1 ) CALL timing_stop('zdf_tmx') |
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| 374 | ! |
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| 375 | END SUBROUTINE zdf_tmx |
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| 376 | |
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| 377 | |
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| 378 | SUBROUTINE zdf_tmx_init |
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| 379 | !!---------------------------------------------------------------------- |
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| 380 | !! *** ROUTINE zdf_tmx_init *** |
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| 381 | !! |
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| 382 | !! ** Purpose : Initialization of the wave-driven vertical mixing, reading |
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| 383 | !! of input power maps and decay length scales in netcdf files. |
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| 384 | !! |
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| 385 | !! ** Method : - Read the namzdf_tmx namelist and check the parameters |
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| 386 | !! |
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| 387 | !! - Read the input data in NetCDF files : |
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| 388 | !! power available from high-mode wave breaking (mixing_power_bot.nc) |
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| 389 | !! power available from pycnocline-intensified wave-breaking (mixing_power_pyc.nc) |
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| 390 | !! power available from critical slope wave-breaking (mixing_power_cri.nc) |
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| 391 | !! WKB decay scale for high-mode wave-breaking (decay_scale_bot.nc) |
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| 392 | !! decay scale for critical slope wave-breaking (decay_scale_cri.nc) |
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| 393 | !! |
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| 394 | !! ** input : - Namlist namzdf_tmx |
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| 395 | !! - NetCDF files : mixing_power_bot.nc, mixing_power_pyc.nc, mixing_power_cri.nc, |
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| 396 | !! decay_scale_bot.nc decay_scale_cri.nc |
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| 397 | !! |
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| 398 | !! ** Action : - Increase by 1 the nstop flag is setting problem encounter |
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| 399 | !! - Define ebot_tmx, epyc_tmx, ecri_tmx, hbot_tmx, hcri_tmx |
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| 400 | !! |
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| 401 | !! References : de Lavergne et al. 2015, JPO; 2016, in prep. |
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| 402 | !! |
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| 403 | !!---------------------------------------------------------------------- |
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| 404 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 405 | INTEGER :: inum ! local integer |
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| 406 | INTEGER :: ios |
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| 407 | REAL(wp) :: zbot, zpyc, zcri ! local scalars |
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| 408 | !! |
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| 409 | NAMELIST/namzdf_tmx_new/ nn_zpyc, ln_mevar, ln_tsdiff |
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| 410 | !!---------------------------------------------------------------------- |
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| 411 | ! |
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| 412 | IF( nn_timing == 1 ) CALL timing_start('zdf_tmx_init') |
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| 413 | ! |
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| 414 | REWIND( numnam_ref ) ! Namelist namzdf_tmx in reference namelist : Wave-driven mixing |
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| 415 | READ ( numnam_ref, namzdf_tmx_new, IOSTAT = ios, ERR = 901) |
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| 416 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tmx in reference namelist', lwp ) |
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| 417 | ! |
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| 418 | REWIND( numnam_cfg ) ! Namelist namzdf_tmx in configuration namelist : Wave-driven mixing |
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| 419 | READ ( numnam_cfg, namzdf_tmx_new, IOSTAT = ios, ERR = 902 ) |
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| 420 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tmx in configuration namelist', lwp ) |
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| 421 | IF(lwm) WRITE ( numond, namzdf_tmx_new ) |
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| 422 | ! |
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| 423 | IF(lwp) THEN ! Control print |
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| 424 | WRITE(numout,*) |
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| 425 | WRITE(numout,*) 'zdf_tmx_init : internal wave-driven mixing' |
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| 426 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 427 | WRITE(numout,*) ' Namelist namzdf_tmx_new : set wave-driven mixing parameters' |
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| 428 | WRITE(numout,*) ' Pycnocline-intensified diss. scales as N (=1) or N^2 (=2) = ', nn_zpyc |
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| 429 | WRITE(numout,*) ' Variable (T) or constant (F) mixing efficiency = ', ln_mevar |
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| 430 | WRITE(numout,*) ' Differential internal wave-driven mixing (T) or not (F) = ', ln_tsdiff |
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| 431 | ENDIF |
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| 432 | |
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| 433 | ! The new wave-driven mixing parameterization elevates avt and avm in the interior, and |
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| 434 | ! ensures that avt remains larger than its molecular value (=1.4e-7). Therefore, avtb should |
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| 435 | ! be set here to a very small value, and avmb to its (uniform) molecular value (=1.4e-6). |
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| 436 | avmb(:) = 1.4e-6_wp ! viscous molecular value |
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| 437 | avtb(:) = 1.e-10_wp ! very small diffusive minimum (background avt is specified in zdf_tmx) |
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| 438 | avtb_2d(:,:) = 1.e0_wp ! uniform |
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| 439 | IF(lwp) THEN ! Control print |
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| 440 | WRITE(numout,*) |
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| 441 | WRITE(numout,*) ' Force the background value applied to avm & avt in TKE to be everywhere ', & |
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| 442 | & 'the viscous molecular value & a very small diffusive value, resp.' |
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| 443 | ENDIF |
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| 444 | |
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| 445 | ! ! allocate tmx arrays |
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| 446 | IF( zdf_tmx_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tmx_init : unable to allocate tmx arrays' ) |
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| 447 | ! |
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| 448 | ! ! read necessary fields |
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| 449 | CALL iom_open('mixing_power_bot',inum) ! energy flux for high-mode wave breaking [W/m2] |
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| 450 | CALL iom_get (inum, jpdom_data, 'field', ebot_tmx, 1 ) |
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| 451 | CALL iom_close(inum) |
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| 452 | ! |
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| 453 | CALL iom_open('mixing_power_pyc',inum) ! energy flux for pynocline-intensified wave breaking [W/m2] |
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| 454 | CALL iom_get (inum, jpdom_data, 'field', epyc_tmx, 1 ) |
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| 455 | CALL iom_close(inum) |
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| 456 | ! |
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| 457 | CALL iom_open('mixing_power_cri',inum) ! energy flux for critical slope wave breaking [W/m2] |
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| 458 | CALL iom_get (inum, jpdom_data, 'field', ecri_tmx, 1 ) |
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| 459 | CALL iom_close(inum) |
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| 460 | ! |
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| 461 | CALL iom_open('decay_scale_bot',inum) ! spatially variable decay scale for high-mode wave breaking [m] |
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| 462 | CALL iom_get (inum, jpdom_data, 'field', hbot_tmx, 1 ) |
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| 463 | CALL iom_close(inum) |
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| 464 | ! |
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| 465 | CALL iom_open('decay_scale_cri',inum) ! spatially variable decay scale for critical slope wave breaking [m] |
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| 466 | CALL iom_get (inum, jpdom_data, 'field', hcri_tmx, 1 ) |
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| 467 | CALL iom_close(inum) |
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| 468 | |
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| 469 | ebot_tmx(:,:) = ebot_tmx(:,:) * ssmask(:,:) |
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| 470 | epyc_tmx(:,:) = epyc_tmx(:,:) * ssmask(:,:) |
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| 471 | ecri_tmx(:,:) = ecri_tmx(:,:) * ssmask(:,:) |
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| 472 | |
|---|
| 473 | ! Set once for all to zero the first and last vertical levels of appropriate variables |
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| 474 | emix_tmx (:,:, 1 ) = 0._wp |
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| 475 | emix_tmx (:,:,jpk) = 0._wp |
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| 476 | zav_ratio(:,:, 1 ) = 0._wp |
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| 477 | zav_ratio(:,:,jpk) = 0._wp |
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| 478 | zav_wave (:,:, 1 ) = 0._wp |
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| 479 | zav_wave (:,:,jpk) = 0._wp |
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| 480 | |
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| 481 | zbot = glob_sum( e1e2t(:,:) * ebot_tmx(:,:) ) |
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| 482 | zpyc = glob_sum( e1e2t(:,:) * epyc_tmx(:,:) ) |
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| 483 | zcri = glob_sum( e1e2t(:,:) * ecri_tmx(:,:) ) |
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| 484 | IF(lwp) THEN |
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| 485 | WRITE(numout,*) ' High-mode wave-breaking energy: ', zbot * 1.e-12_wp, 'TW' |
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| 486 | WRITE(numout,*) ' Pycnocline-intensifed wave-breaking energy: ', zpyc * 1.e-12_wp, 'TW' |
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| 487 | WRITE(numout,*) ' Critical slope wave-breaking energy: ', zcri * 1.e-12_wp, 'TW' |
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| 488 | ENDIF |
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| 489 | ! |
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| 490 | IF( nn_timing == 1 ) CALL timing_stop('zdf_tmx_init') |
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| 491 | ! |
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| 492 | END SUBROUTINE zdf_tmx_init |
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| 493 | |
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| 494 | !!====================================================================== |
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| 495 | END MODULE zdftmx |
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