| 1 | MODULE lmdz_atke_turbulence_ini |
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| 2 | |
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| 3 | IMPLICIT NONE |
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| 4 | |
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| 5 | ! declaration of constants and parameters |
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| 6 | |
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| 7 | REAL, SAVE, protected :: rg, rd, rpi, rcpd, rv, viscom, viscoh |
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| 8 | !$OMP THREADPRIVATE(rg, rd, rpi, rcpd, rv, viscom, viscoh) |
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| 9 | |
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| 10 | INTEGER, SAVE, protected :: iflag_atke ! flag that controls options in atke_compute_km_kh |
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| 11 | INTEGER, SAVE, protected :: iflag_atke_lmix ! flag that controls the calculation of mixing length in atke |
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| 12 | INTEGER, SAVE, protected :: iflag_num_atke ! flag that controls the numerical treatment of diffusion coeffiient calculation |
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| 13 | !$OMP THREADPRIVATE(iflag_atke, iflag_atke_lmix, iflag_num_atke) |
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| 14 | |
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| 15 | logical, SAVE, protected :: atke_ok_vdiff ! activate vertical diffusion of TKE or not |
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| 16 | logical, SAVE, protected :: atke_ok_virtual ! account for vapor for flottability |
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| 17 | !$OMP THREADPRIVATE(atke_ok_vdiff, atke_ok_virtual) |
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| 18 | |
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| 19 | REAL, SAVE, protected :: kappa = 0.4 ! Von Karman constant |
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| 20 | REAL, SAVE, protected :: cn ! Sm value at Ri=0 |
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| 21 | REAL, SAVE, protected :: cinf ! Sm value at Ri=-Inf |
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| 22 | REAL, SAVE, protected :: ri0 ! Richardson number near zero to guarantee continuity in slope of Sm (stability function) at Ri=0 |
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| 23 | REAL, SAVE, protected :: ri1 ! Richardson number near zero to guarantee continuity in slope of Pr (Prandlt's number) at Ri=0 |
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| 24 | REAL, SAVE, protected :: lmin = 0.01 ! minimum mixing length corresponding to the Kolmogov dissipation scale in planetary atmospheres (Chen et al 2016, JGR Atmos) |
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| 25 | REAL, SAVE, protected :: ctkes ! coefficient for surface TKE |
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| 26 | REAL, SAVE, protected :: clmixshear ! coefficient for mixing length depending on local wind shear |
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| 27 | !$OMP THREADPRIVATE(kappa, cn, cinf, ri0, ri1, lmin, ctkes, clmixshear) |
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| 28 | |
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| 29 | |
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| 30 | ! Tunable parameters for the ATKE scheme and their range of values |
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| 31 | !!------------------------------------------------------------------------------------------------------------- |
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| 32 | REAL, SAVE, protected :: cepsilon ! controls the value of the dissipation length scale, range [1.2 - 10] |
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| 33 | REAL, SAVE, protected :: cke ! controls the value of the diffusion coefficient of TKE, range [1 - 5] |
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| 34 | REAL, SAVE, protected :: l0 ! asymptotic mixing length far from the ground [m] (Sun et al 2011, JAMC), range [15 - 75] |
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| 35 | REAL, SAVE, protected :: clmix ! controls the value of the mixing length in stratified conditions, range [0.1 - 2] |
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| 36 | REAL, SAVE, protected :: ric ! critical Richardson number controlling the slope of Sm in stable conditions, range [0.19 - 0.25] |
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| 37 | REAL, SAVE, protected :: smmin ! minimum value of Sm in very stable conditions (defined here as minsqrt(Ez/Ek)) at large Ri, range [0.025 - 0.1] |
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| 38 | REAL, SAVE, protected :: pr_neut ! neutral value of the Prandtl number (Ri=0), range [0.7 - 1] |
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| 39 | REAL, SAVE, protected :: pr_slope ! linear slope of Pr with Ri in the very stable regime, range [3 - 5] |
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| 40 | REAL, SAVE, protected :: cinffac ! ratio between cinf and cn controlling the convective limit of Sm, range [1.2 - 5.0] |
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| 41 | REAL, SAVE, protected :: pr_asym ! value of Prandlt in the convective limit(Ri=-Inf), range [0.3 - 0.5] |
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| 42 | !$OMP THREADPRIVATE(cepsilon, cke, l0, clmix, ric, smmin, pr_neut, pr_slope, cinffac, pr_asym) |
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| 43 | !!------------------------------------------------------------------------------------------------------------- |
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| 44 | |
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| 45 | CONTAINS |
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| 46 | |
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| 47 | SUBROUTINE atke_ini(rg_in, rd_in, rpi_in, rcpd_in, rv_in, viscom_in, viscoh_in) |
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| 48 | !!---------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE atke_ini *** |
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| 50 | !! |
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| 51 | !! ** Purpose : Initialization of the atke module and choice of some constants |
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| 52 | !!Default values correspond to the 'best' configuration |
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| 53 | !! from tuning on GABLS1 in Vignon et al. 2024, JAMES |
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| 54 | !!---------------------------------------------------------------------- |
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| 55 | |
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| 56 | USE lmdz_ioipsl_getin_p, ONLY: getin_p |
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| 57 | USE lmdz_abort_physic, ONLY: abort_physic |
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| 58 | |
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| 59 | ! input arguments (universal constants for planet) |
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| 60 | !------------------------------------------------- |
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| 61 | REAL, INTENT(IN) :: rg_in, rd_in, rpi_in, rcpd_in, rv_in, viscom_in, viscoh_in |
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| 62 | !!---------------------------------------------------------------------- |
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| 63 | |
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| 64 | rg = rg_in ! gravity acceleration |
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| 65 | rd = rd_in ! dry gas constant (R/M, R=perfect gas constant and M is the molar mass of the fluid) |
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| 66 | rpi = rpi_in ! Pi number |
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| 67 | rcpd = rcpd_in ! cp per unit mass of the gas |
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| 68 | rv = rv_in ! water vapor constant (for simulations in Earth's atmosphere) |
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| 69 | viscom = viscom_in ! kinematic molecular viscosity for momentum |
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| 70 | viscoh = viscoh_in ! kinematic molecular viscosity for heat |
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| 71 | |
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| 72 | |
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| 73 | ! Read flag values in .def files |
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| 74 | !------------------------------- |
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| 75 | |
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| 76 | ! flag that controls options in atke_compute_km_kh |
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| 77 | iflag_atke = 1 |
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| 78 | CALL getin_p('iflag_atke', iflag_atke) |
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| 79 | |
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| 80 | ! flag that controls the calculation of mixing length in atke |
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| 81 | iflag_atke_lmix = 3 |
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| 82 | CALL getin_p('iflag_atke_lmix', iflag_atke_lmix) |
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| 83 | |
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| 84 | IF (iflag_atke == 0 .AND. iflag_atke_lmix>0) THEN |
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| 85 | CALL abort_physic("atke_turbulence_ini", & |
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| 86 | 'stationary scheme must use mixing length formulation not depending on tke', 1) |
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| 87 | endif |
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| 88 | |
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| 89 | ! activate vertical diffusion of TKE or not |
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| 90 | atke_ok_vdiff = .TRUE. |
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| 91 | CALL getin_p('atke_ok_vdiff', atke_ok_vdiff) |
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| 92 | |
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| 93 | ! account for vapor for flottability |
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| 94 | atke_ok_virtual = .TRUE. |
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| 95 | CALL getin_p('atke_ok_virtual', atke_ok_virtual) |
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| 96 | |
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| 97 | |
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| 98 | ! flag that controls the numerical treatment of diffusion coeffiient calculation |
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| 99 | iflag_num_atke = 0 |
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| 100 | CALL getin_p('iflag_num_atke', iflag_num_atke) |
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| 101 | |
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| 102 | ! asymptotic mixing length in neutral conditions [m] |
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| 103 | ! Sun et al 2011, JAMC |
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| 104 | ! between 10 and 40 |
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| 105 | l0 = 42.5279652116005 |
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| 106 | CALL getin_p('atke_l0', l0) |
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| 107 | |
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| 108 | ! critical Richardson number |
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| 109 | ric = 0.190537327781655 |
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| 110 | CALL getin_p('atke_ric', ric) |
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| 111 | |
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| 112 | ! constant for tke dissipation calculation |
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| 113 | cepsilon = 8.89273387537601 |
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| 114 | CALL getin_p('atke_cepsilon', cepsilon) |
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| 115 | |
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| 116 | ! calculation of cn = Sm value at Ri=0 |
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| 117 | ! direct dependance on cepsilon to guarantee Fm=1 (first-order like stability function) at Ri=0 |
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| 118 | cn = (1. / sqrt(cepsilon))**(2 / 3) |
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| 119 | |
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| 120 | ! asymptotic value of Sm for Ri=-Inf |
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| 121 | cinffac = 2.0 |
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| 122 | CALL getin_p('atke_cinffac', cinffac) |
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| 123 | cinf = cinffac * cn |
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| 124 | IF (cinf <= cn) THEN |
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| 125 | CALL abort_physic("atke_turbulence_ini", & |
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| 126 | 'cinf cannot be lower than cn', 1) |
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| 127 | endif |
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| 128 | |
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| 129 | ! coefficient for surface TKE |
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| 130 | ! following Lenderink & Holtslag 2004, ctkes=(cepsilon)**(2/3) |
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| 131 | ! (provided by limit condition in neutral conditions) |
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| 132 | ctkes = (cepsilon)**(2. / 3.) |
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| 133 | |
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| 134 | ! slope of Pr=f(Ri) for stable conditions |
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| 135 | pr_slope = 4.67885738180385 |
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| 136 | CALL getin_p('atke_pr_slope', pr_slope) |
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| 137 | IF (pr_slope <= 1) THEN |
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| 138 | CALL abort_physic("atke_turbulence_ini", & |
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| 139 | 'pr_slope has to be greater than 1 for consistency of the tke scheme', 1) |
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| 140 | endif |
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| 141 | |
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| 142 | ! value of turbulent prandtl number in neutral conditions (Ri=0) |
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| 143 | pr_neut = 0.837372701768868 |
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| 144 | CALL getin_p('atke_pr_neut', pr_neut) |
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| 145 | |
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| 146 | ! asymptotic turbulent prandt number value for Ri=-Inf |
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| 147 | pr_asym = 0.4 |
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| 148 | CALL getin_p('atke_pr_asym', pr_asym) |
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| 149 | IF (pr_asym >= pr_neut) THEN |
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| 150 | CALL abort_physic("atke_turbulence_ini", & |
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| 151 | 'pr_asym must be be lower than pr_neut', 1) |
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| 152 | endif |
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| 153 | |
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| 154 | ! coefficient for mixing length depending on local stratification |
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| 155 | clmix = 0.648055235325291 |
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| 156 | CALL getin_p('atke_clmix', clmix) |
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| 157 | |
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| 158 | ! coefficient for mixing length depending on local wind shear |
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| 159 | clmixshear = 0.5 |
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| 160 | CALL getin_p('atke_clmixshear', clmixshear) |
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| 161 | |
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| 162 | ! minimum anisotropy coefficient (defined here as minsqrt(Ez/Ek)) at large Ri. |
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| 163 | ! From Zilitinkevich et al. 2013, it equals sqrt(0.03)~0.17 |
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| 164 | smmin = 0.0960838631869678 |
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| 165 | CALL getin_p('atke_smmin', smmin) |
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| 166 | |
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| 167 | ! ratio between the eddy diffusivity coeff for tke wrt that for momentum |
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| 168 | ! default value from Lenderink et al. 2004 |
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| 169 | cke = 2.47069655134662 |
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| 170 | CALL getin_p('atke_cke', cke) |
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| 171 | |
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| 172 | ! calculation of Ri0 such that continuity in slope of Sm at Ri=0 |
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| 173 | ri0 = 2. / rpi * (cinf - cn) * ric / cn |
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| 174 | |
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| 175 | ! calculation of Ri1 to guarantee continuity in slope of Prandlt number at Ri=0 |
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| 176 | ri1 = -2. / rpi * (pr_asym - pr_neut) |
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| 177 | |
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| 178 | END SUBROUTINE atke_ini |
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| 179 | |
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| 180 | END MODULE lmdz_atke_turbulence_ini |
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