| 1 | MODULE lmdz_atke_turbulence_ini |
|---|
| 2 | |
|---|
| 3 | implicit none |
|---|
| 4 | |
|---|
| 5 | ! declaration of constants and parameters |
|---|
| 6 | |
|---|
| 7 | real, save, protected :: rg, rd, rpi, rcpd, rv, viscom, viscoh |
|---|
| 8 | !$OMP THREADPRIVATE(rg, rd, rpi, rcpd, rv, viscom, viscoh) |
|---|
| 9 | |
|---|
| 10 | integer, save, protected :: iflag_atke ! flag that controls options in atke_compute_km_kh |
|---|
| 11 | integer, save, protected :: iflag_atke_lmix ! flag that controls the calculation of mixing length in atke |
|---|
| 12 | integer, save, protected :: iflag_num_atke ! flag that controls the numerical treatment of diffusion coeffiient calculation |
|---|
| 13 | !$OMP THREADPRIVATE(iflag_atke, iflag_atke_lmix, iflag_num_atke) |
|---|
| 14 | |
|---|
| 15 | logical, save, protected :: atke_ok_vdiff ! activate vertical diffusion of TKE or not |
|---|
| 16 | logical, save, protected :: atke_ok_virtual ! account for vapor for flottability |
|---|
| 17 | !$OMP THREADPRIVATE(atke_ok_vdiff, atke_ok_virtual) |
|---|
| 18 | |
|---|
| 19 | real, save, protected :: kappa = 0.4 ! Von Karman constant |
|---|
| 20 | real, save, protected :: cn ! Sm value at Ri=0 |
|---|
| 21 | real, save, protected :: cinf ! Sm value at Ri=-Inf |
|---|
| 22 | real, save, protected :: ri0 ! Richardson number near zero to guarantee continuity in slope of Sm (stability function) at Ri=0 |
|---|
| 23 | real, save, protected :: ri1 ! Richardson number near zero to guarantee continuity in slope of Pr (Prandlt's number) at Ri=0 |
|---|
| 24 | real, save, protected :: lmin = 0.01 ! minimum mixing length corresponding to the Kolmogov dissipation scale in planetary atmospheres (Chen et al 2016, JGR Atmos) |
|---|
| 25 | real, save, protected :: ctkes ! coefficient for surface TKE |
|---|
| 26 | real, save, protected :: clmixshear ! coefficient for mixing length depending on local wind shear |
|---|
| 27 | !$OMP THREADPRIVATE(kappa, cn, cinf, ri0, ri1, lmin, ctkes, clmixshear) |
|---|
| 28 | |
|---|
| 29 | |
|---|
| 30 | ! Tunable parameters for the ATKE scheme and their range of values |
|---|
| 31 | !!------------------------------------------------------------------------------------------------------------- |
|---|
| 32 | real, save, protected :: cepsilon ! controls the value of the dissipation length scale, range [1.2 - 10] |
|---|
| 33 | real, save, protected :: cke ! controls the value of the diffusion coefficient of TKE, range [1 - 5] |
|---|
| 34 | real, save, protected :: l0 ! asymptotic mixing length far from the ground [m] (Sun et al 2011, JAMC), range [15 - 75] |
|---|
| 35 | real, save, protected :: clmix ! controls the value of the mixing length in stratified conditions, range [0.1 - 2] |
|---|
| 36 | real, save, protected :: ric ! critical Richardson number controlling the slope of Sm in stable conditions, range [0.19 - 0.25] |
|---|
| 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] |
|---|
| 38 | real, save, protected :: pr_neut ! neutral value of the Prandtl number (Ri=0), range [0.7 - 1] |
|---|
| 39 | real, save, protected :: pr_slope ! linear slope of Pr with Ri in the very stable regime, range [3 - 5] |
|---|
| 40 | real, save, protected :: cinffac ! ratio between cinf and cn controlling the convective limit of Sm, range [1.2 - 5.0] |
|---|
| 41 | real, save, protected :: pr_asym ! value of Prandlt in the convective limit(Ri=-Inf), range [0.3 - 0.5] |
|---|
| 42 | !$OMP THREADPRIVATE(cepsilon, cke, l0, clmix, ric, smmin, pr_neut, pr_slope, cinffac, pr_asym) |
|---|
| 43 | !!------------------------------------------------------------------------------------------------------------- |
|---|
| 44 | |
|---|
| 45 | CONTAINS |
|---|
| 46 | |
|---|
| 47 | SUBROUTINE atke_ini(rg_in, rd_in, rpi_in, rcpd_in, rv_in, viscom_in, viscoh_in) |
|---|
| 48 | !!---------------------------------------------------------------------- |
|---|
| 49 | !! *** ROUTINE atke_ini *** |
|---|
| 50 | !! |
|---|
| 51 | !! ** Purpose : Initialization of the atke module and choice of some constants |
|---|
| 52 | !! |
|---|
| 53 | !!---------------------------------------------------------------------- |
|---|
| 54 | |
|---|
| 55 | USE ioipsl_getin_p_mod, ONLY : getin_p |
|---|
| 56 | |
|---|
| 57 | ! input arguments (universal constants for planet) |
|---|
| 58 | !------------------------------------------------- |
|---|
| 59 | real, intent(in) :: rg_in, rd_in, rpi_in, rcpd_in, rv_in, viscom_in, viscoh_in |
|---|
| 60 | !!---------------------------------------------------------------------- |
|---|
| 61 | |
|---|
| 62 | rg=rg_in ! gravity acceleration |
|---|
| 63 | rd=rd_in ! dry gas constant (R/M, R=perfect gas constant and M is the molar mass of the fluid) |
|---|
| 64 | rpi=rpi_in ! Pi number |
|---|
| 65 | rcpd=rcpd_in ! cp per unit mass of the gas |
|---|
| 66 | rv=rv_in ! water vapor constant (for simulations in Earth's atmosphere) |
|---|
| 67 | viscom=viscom_in ! kinematic molecular viscosity for momentum |
|---|
| 68 | viscoh=viscoh_in ! kinematic molecular viscosity for heat |
|---|
| 69 | |
|---|
| 70 | |
|---|
| 71 | ! Read flag values in .def files |
|---|
| 72 | !------------------------------- |
|---|
| 73 | |
|---|
| 74 | ! flag that controls options in atke_compute_km_kh |
|---|
| 75 | iflag_atke=0 |
|---|
| 76 | CALL getin_p('iflag_atke',iflag_atke) |
|---|
| 77 | |
|---|
| 78 | ! flag that controls the calculation of mixing length in atke |
|---|
| 79 | iflag_atke_lmix=0 |
|---|
| 80 | CALL getin_p('iflag_atke_lmix',iflag_atke_lmix) |
|---|
| 81 | |
|---|
| 82 | if (iflag_atke .eq. 0 .and. iflag_atke_lmix>0) then |
|---|
| 83 | call abort_physic("atke_turbulence_ini", & |
|---|
| 84 | 'stationary scheme must use mixing length formulation not depending on tke', 1) |
|---|
| 85 | endif |
|---|
| 86 | |
|---|
| 87 | ! activate vertical diffusion of TKE or not |
|---|
| 88 | atke_ok_vdiff=.false. |
|---|
| 89 | CALL getin_p('atke_ok_vdiff',atke_ok_vdiff) |
|---|
| 90 | |
|---|
| 91 | ! account for vapor for flottability |
|---|
| 92 | atke_ok_virtual=.true. |
|---|
| 93 | CALL getin_p('atke_ok_virtual',atke_ok_virtual) |
|---|
| 94 | |
|---|
| 95 | |
|---|
| 96 | ! flag that controls the numerical treatment of diffusion coeffiient calculation |
|---|
| 97 | iflag_num_atke=0 |
|---|
| 98 | CALL getin_p('iflag_num_atke',iflag_num_atke) |
|---|
| 99 | |
|---|
| 100 | ! asymptotic mixing length in neutral conditions [m] |
|---|
| 101 | ! Sun et al 2011, JAMC |
|---|
| 102 | ! between 10 and 40 |
|---|
| 103 | l0=15.0 |
|---|
| 104 | CALL getin_p('atke_l0',l0) |
|---|
| 105 | |
|---|
| 106 | ! critical Richardson number |
|---|
| 107 | ric=0.25 |
|---|
| 108 | CALL getin_p('atke_ric',ric) |
|---|
| 109 | |
|---|
| 110 | ! constant for tke dissipation calculation |
|---|
| 111 | cepsilon=5.87 ! default value as in yamada4 |
|---|
| 112 | CALL getin_p('atke_cepsilon',cepsilon) |
|---|
| 113 | |
|---|
| 114 | ! calculation of cn = Sm value at Ri=0 |
|---|
| 115 | ! direct dependance on cepsilon to guarantee Fm=1 (first-order like stability function) at Ri=0 |
|---|
| 116 | cn=(1./sqrt(cepsilon))**(2/3) |
|---|
| 117 | |
|---|
| 118 | ! asymptotic value of Sm for Ri=-Inf |
|---|
| 119 | cinffac=2.0 |
|---|
| 120 | CALL getin_p('atke_cinffac',cinffac) |
|---|
| 121 | cinf=cinffac*cn |
|---|
| 122 | if (cinf .le. cn) then |
|---|
| 123 | call abort_physic("atke_turbulence_ini", & |
|---|
| 124 | 'cinf cannot be lower than cn', 1) |
|---|
| 125 | endif |
|---|
| 126 | |
|---|
| 127 | ! coefficient for surface TKE |
|---|
| 128 | ! following Lenderink & Holtslag 2004, ctkes=(cepsilon)**(2/3) |
|---|
| 129 | ! (provided by limit condition in neutral conditions) |
|---|
| 130 | ctkes=(cepsilon)**(2./3.) |
|---|
| 131 | |
|---|
| 132 | ! slope of Pr=f(Ri) for stable conditions |
|---|
| 133 | pr_slope=5.0 ! default value from Zilitinkevich et al. 2005 |
|---|
| 134 | CALL getin_p('atke_pr_slope',pr_slope) |
|---|
| 135 | if (pr_slope .le. 1) then |
|---|
| 136 | call abort_physic("atke_turbulence_ini", & |
|---|
| 137 | 'pr_slope has to be greater than 1 for consistency of the tke scheme', 1) |
|---|
| 138 | endif |
|---|
| 139 | |
|---|
| 140 | ! value of turbulent prandtl number in neutral conditions (Ri=0) |
|---|
| 141 | pr_neut=0.8 |
|---|
| 142 | CALL getin_p('atke_pr_neut',pr_neut) |
|---|
| 143 | |
|---|
| 144 | ! asymptotic turbulent prandt number value for Ri=-Inf |
|---|
| 145 | pr_asym=0.4 |
|---|
| 146 | CALL getin_p('atke_pr_asym',pr_asym) |
|---|
| 147 | if (pr_asym .ge. pr_neut) then |
|---|
| 148 | call abort_physic("atke_turbulence_ini", & |
|---|
| 149 | 'pr_asym must be be lower than pr_neut', 1) |
|---|
| 150 | endif |
|---|
| 151 | |
|---|
| 152 | ! coefficient for mixing length depending on local stratification |
|---|
| 153 | clmix=0.5 |
|---|
| 154 | CALL getin_p('atke_clmix',clmix) |
|---|
| 155 | |
|---|
| 156 | ! coefficient for mixing length depending on local wind shear |
|---|
| 157 | clmixshear=0.5 |
|---|
| 158 | CALL getin_p('atke_clmixshear',clmixshear) |
|---|
| 159 | |
|---|
| 160 | ! minimum anisotropy coefficient (defined here as minsqrt(Ez/Ek)) at large Ri. |
|---|
| 161 | ! From Zilitinkevich et al. 2013, it equals sqrt(0.03)~0.17 |
|---|
| 162 | smmin=0.17 |
|---|
| 163 | CALL getin_p('atke_smmin',smmin) |
|---|
| 164 | |
|---|
| 165 | ! ratio between the eddy diffusivity coeff for tke wrt that for momentum |
|---|
| 166 | ! default value from Lenderink et al. 2004 |
|---|
| 167 | cke=2. |
|---|
| 168 | CALL getin_p('atke_cke',cke) |
|---|
| 169 | |
|---|
| 170 | ! calculation of Ri0 such that continuity in slope of Sm at Ri=0 |
|---|
| 171 | ri0=2./rpi*(cinf - cn)*ric/cn |
|---|
| 172 | |
|---|
| 173 | ! calculation of Ri1 to guarantee continuity in slope of Prandlt number at Ri=0 |
|---|
| 174 | ri1 = -2./rpi * (pr_asym - pr_neut) |
|---|
| 175 | |
|---|
| 176 | RETURN |
|---|
| 177 | |
|---|
| 178 | END SUBROUTINE atke_ini |
|---|
| 179 | |
|---|
| 180 | END MODULE lmdz_atke_turbulence_ini |
|---|
