| 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 ioipsl_getin_p_mod, ONLY : getin_p |
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| 57 | |
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| 58 | ! input arguments (universal constants for planet) |
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| 59 | !------------------------------------------------- |
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| 60 | real, intent(in) :: rg_in, rd_in, rpi_in, rcpd_in, rv_in, viscom_in, viscoh_in |
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| 61 | !!---------------------------------------------------------------------- |
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| 62 | |
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| 63 | rg=rg_in ! gravity acceleration |
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| 64 | 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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| 65 | rpi=rpi_in ! Pi number |
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| 66 | rcpd=rcpd_in ! cp per unit mass of the gas |
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| 67 | rv=rv_in ! water vapor constant (for simulations in Earth's atmosphere) |
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| 68 | viscom=viscom_in ! kinematic molecular viscosity for momentum |
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| 69 | viscoh=viscoh_in ! kinematic molecular viscosity for heat |
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| 70 | |
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| 71 | |
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| 72 | ! Read flag values in .def files |
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| 73 | !------------------------------- |
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| 74 | |
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| 75 | ! flag that controls options in atke_compute_km_kh |
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| 76 | iflag_atke=1 |
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| 77 | CALL getin_p('iflag_atke',iflag_atke) |
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| 78 | |
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| 79 | ! flag that controls the calculation of mixing length in atke |
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| 80 | iflag_atke_lmix=3 |
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| 81 | CALL getin_p('iflag_atke_lmix',iflag_atke_lmix) |
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| 82 | |
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| 83 | if (iflag_atke .eq. 0 .and. iflag_atke_lmix>0) then |
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| 84 | call abort_physic("atke_turbulence_ini", & |
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| 85 | 'stationary scheme must use mixing length formulation not depending on tke', 1) |
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| 86 | endif |
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| 87 | |
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| 88 | ! activate vertical diffusion of TKE or not |
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| 89 | atke_ok_vdiff=.true. |
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| 90 | CALL getin_p('atke_ok_vdiff',atke_ok_vdiff) |
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| 91 | |
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| 92 | ! account for vapor for flottability |
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| 93 | atke_ok_virtual=.true. |
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| 94 | CALL getin_p('atke_ok_virtual',atke_ok_virtual) |
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| 95 | |
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| 96 | |
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| 97 | ! flag that controls the numerical treatment of diffusion coeffiient calculation |
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| 98 | iflag_num_atke=0 |
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| 99 | CALL getin_p('iflag_num_atke',iflag_num_atke) |
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| 100 | |
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| 101 | ! asymptotic mixing length in neutral conditions [m] |
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| 102 | ! Sun et al 2011, JAMC |
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| 103 | ! between 10 and 40 |
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| 104 | l0=42.5279652116005 |
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| 105 | CALL getin_p('atke_l0',l0) |
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| 106 | |
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| 107 | ! critical Richardson number |
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| 108 | ric=0.190537327781655 |
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| 109 | CALL getin_p('atke_ric',ric) |
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| 110 | |
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| 111 | ! constant for tke dissipation calculation |
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| 112 | cepsilon=8.89273387537601 |
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| 113 | CALL getin_p('atke_cepsilon',cepsilon) |
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| 114 | |
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| 115 | ! calculation of cn = Sm value at Ri=0 |
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| 116 | ! direct dependance on cepsilon to guarantee Fm=1 (first-order like stability function) at Ri=0 |
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| 117 | cn=(1./sqrt(cepsilon))**(2/3) |
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| 118 | |
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| 119 | ! asymptotic value of Sm for Ri=-Inf |
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| 120 | cinffac=2.0 |
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| 121 | CALL getin_p('atke_cinffac',cinffac) |
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| 122 | cinf=cinffac*cn |
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| 123 | if (cinf .le. cn) then |
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| 124 | call abort_physic("atke_turbulence_ini", & |
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| 125 | 'cinf cannot be lower than cn', 1) |
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| 126 | endif |
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| 127 | |
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| 128 | ! coefficient for surface TKE |
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| 129 | ! following Lenderink & Holtslag 2004, ctkes=(cepsilon)**(2/3) |
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| 130 | ! (provided by limit condition in neutral conditions) |
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| 131 | ctkes=(cepsilon)**(2./3.) |
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| 132 | |
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| 133 | ! slope of Pr=f(Ri) for stable conditions |
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| 134 | pr_slope=4.67885738180385 |
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| 135 | CALL getin_p('atke_pr_slope',pr_slope) |
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| 136 | if (pr_slope .le. 1) then |
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| 137 | call abort_physic("atke_turbulence_ini", & |
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| 138 | 'pr_slope has to be greater than 1 for consistency of the tke scheme', 1) |
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| 139 | endif |
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| 140 | |
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| 141 | ! value of turbulent prandtl number in neutral conditions (Ri=0) |
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| 142 | pr_neut=0.837372701768868 |
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| 143 | CALL getin_p('atke_pr_neut',pr_neut) |
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| 144 | |
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| 145 | ! asymptotic turbulent prandt number value for Ri=-Inf |
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| 146 | pr_asym=0.4 |
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| 147 | CALL getin_p('atke_pr_asym',pr_asym) |
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| 148 | if (pr_asym .ge. pr_neut) then |
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| 149 | call abort_physic("atke_turbulence_ini", & |
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| 150 | 'pr_asym must be be lower than pr_neut', 1) |
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| 151 | endif |
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| 152 | |
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| 153 | ! coefficient for mixing length depending on local stratification |
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| 154 | clmix=0.648055235325291 |
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| 155 | CALL getin_p('atke_clmix',clmix) |
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| 156 | |
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| 157 | ! coefficient for mixing length depending on local wind shear |
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| 158 | clmixshear=0.5 |
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| 159 | CALL getin_p('atke_clmixshear',clmixshear) |
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| 160 | |
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| 161 | ! minimum anisotropy coefficient (defined here as minsqrt(Ez/Ek)) at large Ri. |
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| 162 | ! From Zilitinkevich et al. 2013, it equals sqrt(0.03)~0.17 |
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| 163 | smmin=0.0960838631869678 |
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| 164 | CALL getin_p('atke_smmin',smmin) |
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| 165 | |
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| 166 | ! ratio between the eddy diffusivity coeff for tke wrt that for momentum |
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| 167 | ! default value from Lenderink et al. 2004 |
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| 168 | cke=2.47069655134662 |
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| 169 | CALL getin_p('atke_cke',cke) |
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| 170 | |
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| 171 | ! calculation of Ri0 such that continuity in slope of Sm at Ri=0 |
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| 172 | ri0=2./rpi*(cinf - cn)*ric/cn |
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| 173 | |
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| 174 | ! calculation of Ri1 to guarantee continuity in slope of Prandlt number at Ri=0 |
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| 175 | ri1 = -2./rpi * (pr_asym - pr_neut) |
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| 176 | |
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| 177 | RETURN |
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| 178 | |
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| 179 | END SUBROUTINE atke_ini |
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| 180 | |
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| 181 | END MODULE lmdz_atke_turbulence_ini |
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