MODULE ice_sursat_mod IMPLICIT NONE !--flight inventories REAL, SAVE, ALLOCATABLE :: flight_m(:, :) !--flown distance m s-1 per cell !$OMP THREADPRIVATE(flight_m) REAL, SAVE, ALLOCATABLE :: flight_h2o(:, :) !--emitted kg H2O s-1 per cell !$OMP THREADPRIVATE(flight_h2o) !--Fixed Parameters !--safety parameters for ERF function REAL, PARAMETER :: erf_lim = 5., eps = 1.e-10 !--Tuning parameters (and their default values) !--chi gère la répartition statistique de la longueur des frontières ! entre les zones nuages et ISSR/ciel clair sous-saturé. Gamme de valeur : ! chi > 1, je n'ai pas regardé de limite max (pour chi = 1, la longueur de ! la frontière entre ne nuage et l'ISSR est proportionnelle à la ! répartition ISSR/ciel clair sous-sat dans la maille, i.e. il n'y a pas ! de favorisation de la localisation de l'ISSR près de nuage. Pour chi = inf, ! le nuage n'est en contact qu'avec de l'ISSR, quelle que soit la taille ! de l'ISSR dans la maille.) !--l_turb est la longueur de mélange pour la turbulence. ! dans les tests, ça n'a jamais été modifié pour l'instant. !--tun_N est le paramètre qui contrôle l'importance relative de N_2 par rapport à N_1. ! La valeur est comprise entre 1 et 2 (tun_N = 1 => N_1 = N_2) !--tun_ratqs : paramètre qui modifie ratqs en fonction de la valeur de ! alpha_cld selon la formule ratqs_new = ratqs_old / ( 1 + tun_ratqs * ! alpha_cld ). Dans le rapport il est appelé beta. Il varie entre 0 et 5 ! (tun_ratqs = 0 => pas de modification de ratqs). !--gamma0 and Tgamma: define RHcrit limit above which heterogeneous freezing occurs as a function of T !--Karcher and Lohmann (2002) !--gamma = 2.583 - t / 207.83 !--Ren and MacKenzie (2005) reused by Kärcher !--gamma = 2.349 - t / 259.0 !--N_cld: number of clouds in cell (needs to be parametrized at some point) !--contrail cross section: typical value found in Freudenthaler et al, GRL, 22, 3501-3504, 1995 !--in m2, 1000x200 = 200 000 m2 after 15 min REAL, SAVE :: chi = 1.1, l_turb = 50.0, tun_N = 1.3, tun_ratqs = 3.0 REAL, SAVE :: gamma0 = 2.349, Tgamma = 259.0, N_cld = 100, contrail_cross_section = 200000.0 !$OMP THREADPRIVATE(chi,l_turb,tun_N,tun_ratqs,gamma0,Tgamma,N_cld,contrail_cross_section) CONTAINS !******************************************************************* SUBROUTINE ice_sursat_init() USE lmdz_print_control, ONLY: lunout USE lmdz_ioipsl_getin_p, ONLY: getin_p IMPLICIT NONE CALL getin_p('flag_chi', chi) CALL getin_p('flag_l_turb', l_turb) CALL getin_p('flag_tun_N', tun_N) CALL getin_p('flag_tun_ratqs', tun_ratqs) CALL getin_p('gamma0', gamma0) CALL getin_p('Tgamma', Tgamma) CALL getin_p('N_cld', N_cld) CALL getin_p('contrail_cross_section', contrail_cross_section) WRITE(lunout, *) 'Parameters for ice_sursat param' WRITE(lunout, *) 'flag_chi = ', chi WRITE(lunout, *) 'flag_l_turb = ', l_turb WRITE(lunout, *) 'flag_tun_N = ', tun_N WRITE(lunout, *) 'flag_tun_ratqs = ', tun_ratqs WRITE(lunout, *) 'gamma0 = ', gamma0 WRITE(lunout, *) 'Tgamma = ', Tgamma WRITE(lunout, *) 'N_cld = ', N_cld WRITE(lunout, *) 'contrail_cross_section = ', contrail_cross_section END SUBROUTINE ice_sursat_init !******************************************************************* SUBROUTINE airplane(debut, pphis, pplay, paprs, t_seri) USE dimphy USE lmdz_grid_phy, ONLY: klon_glo USE lmdz_geometry, ONLY: cell_area USE phys_cal_mod, ONLY: mth_cur USE lmdz_phys_mpi_data, ONLY: is_mpi_root USE lmdz_phys_omp_data, ONLY: is_omp_root USE lmdz_phys_para, ONLY: scatter, bcast USE lmdz_print_control, ONLY: lunout USE netcdf, ONLY: nf90_get_var, nf90_inq_varid, nf90_inquire_dimension, nf90_inq_dimid, & nf90_open, nf90_noerr USE lmdz_abort_physic, ONLY: abort_physic USE lmdz_yomcst IMPLICIT NONE !-------------------------------------------------------- !--input variables !-------------------------------------------------------- LOGICAL, INTENT(IN) :: debut REAL, INTENT(IN) :: pphis(klon), pplay(klon, klev), paprs(klon, klev + 1), t_seri(klon, klev) !-------------------------------------------------------- ! ... Local variables !-------------------------------------------------------- CHARACTER (LEN = 20) :: modname = 'airplane_mod' INTEGER :: i, k, kori, iret, varid, error, ncida, klona INTEGER, SAVE :: nleva, ntimea !$OMP THREADPRIVATE(nleva,ntimea) REAL, ALLOCATABLE :: pkm_airpl_glo(:, :, :) !--km/s REAL, ALLOCATABLE :: ph2o_airpl_glo(:, :, :) !--molec H2O/cm3/s REAL, ALLOCATABLE, SAVE :: zmida(:), zinta(:) REAL, ALLOCATABLE, SAVE :: pkm_airpl(:, :, :) REAL, ALLOCATABLE, SAVE :: ph2o_airpl(:, :, :) !$OMP THREADPRIVATE(pkm_airpl,ph2o_airpl,zmida,zinta) REAL :: zalt(klon, klev + 1) REAL :: zrho, zdz(klon, klev), zfrac IF (debut) THEN !-------------------------------------------------------------------------------- ! ... Open the file and read airplane emissions !-------------------------------------------------------------------------------- IF (is_mpi_root .AND. is_omp_root) THEN iret = nf90_open('aircraft_phy.nc', 0, ncida) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to open aircraft_phy.nc file', 1) ! ... Get lengths iret = nf90_inq_dimid(ncida, 'time', varid) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get time dimid in aircraft_phy.nc file', 1) iret = nf90_inquire_dimension(ncida, varid, len = ntimea) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get time dimlen aircraft_phy.nc file', 1) iret = nf90_inq_dimid(ncida, 'vector', varid) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get vector dimid aircraft_phy.nc file', 1) iret = nf90_inquire_dimension(ncida, varid, len = klona) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get vector dimlen aircraft_phy.nc file', 1) iret = nf90_inq_dimid(ncida, 'lev', varid) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get lev dimid aircraft_phy.nc file', 1) iret = nf90_inquire_dimension(ncida, varid, len = nleva) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get lev dimlen aircraft_phy.nc file', 1) IF (klona /= klon_glo) THEN WRITE(lunout, *) 'klona & klon_glo =', klona, klon_glo CALL abort_physic(modname, 'problem klon in aircraft_phy.nc file', 1) ENDIF IF (ntimea /= 12) THEN WRITE(lunout, *) 'ntimea=', ntimea CALL abort_physic(modname, 'problem ntime<>12 in aircraft_phy.nc file', 1) ENDIF ALLOCATE(zmida(nleva), STAT = error) IF (error /= 0) CALL abort_physic(modname, 'problem to allocate zmida', 1) ALLOCATE(pkm_airpl_glo(klona, nleva, ntimea), STAT = error) IF (error /= 0) CALL abort_physic(modname, 'problem to allocate pkm_airpl_glo', 1) ALLOCATE(ph2o_airpl_glo(klona, nleva, ntimea), STAT = error) IF (error /= 0) CALL abort_physic(modname, 'problem to allocate ph2o_airpl_glo', 1) iret = nf90_inq_varid(ncida, 'lev', varid) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get lev dimid aircraft_phy.nc file', 1) iret = nf90_get_var(ncida, varid, zmida) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to read zmida file', 1) iret = nf90_inq_varid(ncida, 'emi_co2_aircraft', varid) !--CO2 as a proxy for m flown - IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get emi_distance dimid aircraft_phy.nc file', 1) iret = nf90_get_var(ncida, varid, pkm_airpl_glo) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to read pkm_airpl file', 1) iret = nf90_inq_varid(ncida, 'emi_h2o_aircraft', varid) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to get emi_h2o_aircraft dimid aircraft_phy.nc file', 1) iret = nf90_get_var(ncida, varid, ph2o_airpl_glo) IF (iret /= nf90_noerr) CALL abort_physic(modname, 'problem to read ph2o_airpl file', 1) ENDIF !--is_mpi_root and is_omp_root CALL bcast(nleva) CALL bcast(ntimea) IF (.NOT.ALLOCATED(zmida)) ALLOCATE(zmida(nleva), STAT = error) IF (.NOT.ALLOCATED(zinta)) ALLOCATE(zinta(nleva + 1), STAT = error) ALLOCATE(pkm_airpl(klon, nleva, ntimea)) ALLOCATE(ph2o_airpl(klon, nleva, ntimea)) ALLOCATE(flight_m(klon, klev)) ALLOCATE(flight_h2o(klon, klev)) CALL bcast(zmida) zinta(1) = 0.0 !--surface DO k = 2, nleva zinta(k) = (zmida(k - 1) + zmida(k)) / 2.0 * 1000.0 !--conversion from km to m ENDDO zinta(nleva + 1) = zinta(nleva) + (zmida(nleva) - zmida(nleva - 1)) * 1000.0 !--extrapolation for last interface !PRINT *,'zinta=', zinta CALL scatter(pkm_airpl_glo, pkm_airpl) CALL scatter(ph2o_airpl_glo, ph2o_airpl) !$OMP MASTER IF (is_mpi_root .AND. is_omp_root) THEN DEALLOCATE(pkm_airpl_glo) DEALLOCATE(ph2o_airpl_glo) ENDIF !--is_mpi_root !$OMP END MASTER ENDIF !--debut !--compute altitude of model level interfaces DO i = 1, klon zalt(i, 1) = pphis(i) / RG !--in m ENDDO DO k = 1, klev DO i = 1, klon zrho = pplay(i, k) / t_seri(i, k) / RD zdz(i, k) = (paprs(i, k) - paprs(i, k + 1)) / zrho / RG zalt(i, k + 1) = zalt(i, k) + zdz(i, k) !--in m ENDDO ENDDO !--vertical reprojection flight_m(:, :) = 0.0 flight_h2o(:, :) = 0.0 DO k = 1, klev DO kori = 1, nleva DO i = 1, klon !--fraction of layer kori included in layer k zfrac = max(0.0, min(zalt(i, k + 1), zinta(kori + 1)) - max(zalt(i, k), zinta(kori))) / (zinta(kori + 1) - zinta(kori)) !--reproject flight_m(i, k) = flight_m(i, k) + pkm_airpl(i, kori, mth_cur) * zfrac !--reproject flight_h2o(i, k) = flight_h2o(i, k) + ph2o_airpl(i, kori, mth_cur) * zfrac ENDDO ENDDO ENDDO DO k = 1, klev DO i = 1, klon !--molec.cm-3.s-1 / (molec/mol) * kg CO2/mol * m2 * m * cm3/m3 / (kg CO2/m) => m s-1 per cell flight_m(i, k) = flight_m(i, k) / RNAVO * 44.e-3 * cell_area(i) * zdz(i, k) * 1.e6 / 16.37e-3 flight_m(i, k) = flight_m(i, k) * 100.0 !--x100 to augment signal to noise !--molec.cm-3.s-1 / (molec/mol) * kg H2O/mol * m2 * m * cm3/m3 => kg H2O s-1 per cell flight_h2o(i, k) = flight_h2o(i, k) / RNAVO * 18.e-3 * cell_area(i) * zdz(i, k) * 1.e6 ENDDO ENDDO END SUBROUTINE airplane !******************************************************************** ! simple routine to initialise flight_m and test a flight corridor !--Olivier Boucher - 2021 SUBROUTINE flight_init() USE dimphy USE lmdz_geometry, ONLY: cell_area, latitude_deg, longitude_deg IMPLICIT NONE INTEGER :: i ALLOCATE(flight_m(klon, klev)) ALLOCATE(flight_h2o(klon, klev)) flight_m(:, :) = 0.0 !--initialisation flight_h2o(:, :) = 0.0 !--initialisation DO i = 1, klon IF (latitude_deg(i)>=42.0.AND.latitude_deg(i)<=48.0) THEN flight_m(i, 38) = 50000.0 !--5000 m of flight/second in grid cell x 10 scaling ENDIF ENDDO END SUBROUTINE flight_init !******************************************************************* !--Routine to deal with ice supersaturation !--Determines the respective fractions of unsaturated clear sky, ice supersaturated clear sky and cloudy sky !--Diagnoses regions prone for non-persistent and persistent contrail formation !--Audran Borella - 2021 SUBROUTINE ice_sursat(pplay, dpaprs, dtime, i, k, t, q, gamma_ss, & qsat, t_actuel, rneb_seri, ratqs, rneb, qincld, & rnebss, qss, Tcontr, qcontr, qcontr2, fcontrN, fcontrP) USE dimphy USE lmdz_print_control, ONLY: prt_level, lunout USE phys_state_var_mod, ONLY: pbl_tke, t_ancien USE phys_local_var_mod, ONLY: N1_ss, N2_ss USE phys_local_var_mod, ONLY: drneb_sub, drneb_con, drneb_tur, drneb_avi !! USE phys_local_var_mod, ONLY: Tcontr, qcontr, fcontrN, fcontrP USE indice_sol_mod, ONLY: is_ave USE lmdz_geometry, ONLY: cell_area USE lmdz_clesphys USE lmdz_yoethf USE lmdz_yomcst IMPLICIT NONE INCLUDE "FCTTRE.h" ! Input ! Beware: this routine works on a gridpoint! REAL, INTENT(IN) :: pplay ! layer pressure (Pa) REAL, INTENT(IN) :: dpaprs ! layer delta pressure (Pa) REAL, INTENT(IN) :: dtime ! intervalle du temps (s) REAL, INTENT(IN) :: t ! température advectée (K) REAL, INTENT(IN) :: qsat ! vapeur de saturation REAL, INTENT(IN) :: t_actuel ! temperature actuelle de la maille (K) REAL, INTENT(IN) :: rneb_seri ! fraction nuageuse en memoire INTEGER, INTENT(IN) :: i, k ! Input/output REAL, INTENT(INOUT) :: q ! vapeur de la maille (=zq) REAL, INTENT(INOUT) :: ratqs ! determine la largeur de distribution de vapeur REAL, INTENT(INOUT) :: Tcontr, qcontr, qcontr2, fcontrN, fcontrP ! Output REAL, INTENT(OUT) :: gamma_ss ! REAL, INTENT(OUT) :: rneb ! cloud fraction REAL, INTENT(OUT) :: qincld ! in-cloud total water REAL, INTENT(OUT) :: rnebss ! ISSR fraction REAL, INTENT(OUT) :: qss ! in-ISSR total water ! Local REAL PI PARAMETER (PI = 4. * ATAN(1.)) REAL rnebclr, gamma_prec REAL qclr, qvc, qcld, qi REAL zrho, zdz, zrhodz REAL pdf_N, pdf_N1, pdf_N2 REAL pdf_a, pdf_b REAL pdf_e1, pdf_e2, pdf_k REAL drnebss, drnebclr, dqss, dqclr, sum_rneb_rnebss, dqss_avi REAL V_cell !--volume of the cell REAL M_cell !--dry mass of the cell REAL tke, sig, L_tur, b_tur, q_eq REAL V_env, V_cld, V_ss, V_clr REAL zcor !--more local variables for diagnostics !--imported from YOMCST.h !--eps_w = 0.622 = ratio of molecular masses of water and dry air (kg H2O kg air -1) !--RCPD = 1004 J kg air−1 K−1 = the isobaric heat capacity of air !--values from Schumann, Meteorol Zeitschrift, 1996 !--EiH2O = 1.25 / 2.24 / 8.94 kg H2O / kg fuel for kerosene / methane / dihydrogen !--Qheat = 43. / 50. / 120. MJ / kg fuel for kerosene / methane / dihydrogen REAL, PARAMETER :: EiH2O = 1.25 !--emission index of water vapour for kerosene (kg kg-1) REAL, PARAMETER :: Qheat = 43.E6 !--specific combustion heat for kerosene (J kg-1) REAL, PARAMETER :: eta = 0.3 !--average propulsion efficiency of the aircraft !--Gcontr is the slope of the mean phase trajectory in the turbulent exhaust field on an absolute !--temperature versus water vapor partial pressure diagram. G has the unit of Pa K−1. Rap et al JGR 2010. REAL :: Gcontr !--Tcontr = critical temperature for contrail formation (T_LM in Schumann 1996, Eq 31 in appendix 2) !--qsatliqcontr = e_L(T_LM) in Schumann 1996 but expressed in specific humidity (kg kg humid air-1) REAL :: qsatliqcontr ! Initialisations zrho = pplay / t / RD !--dry density kg m-3 zrhodz = dpaprs / RG !--dry air mass kg m-2 zdz = zrhodz / zrho !--cell thickness m V_cell = zdz * cell_area(i) !--cell volume m3 M_cell = zrhodz * cell_area(i) !--cell dry air mass kg ! Recuperation de la memoire sur la couverture nuageuse rneb = rneb_seri ! Ajout des émissions de H2O dues à l'aviation ! q is the specific humidity (kg/kg humid air) hence the complicated equation to update q ! qnew = ( m_humid_air * qold + dm_H2O ) / ( m_humid_air + dm_H2O ) ! = ( m_dry_air * qold + dm_h2O * (1-qold) ) / (m_dry_air + dm_H2O * (1-qold) ) ! The equation is derived by writing m_humid_air = m_dry_air + m_H2O = m_dry_air / (1-q) ! flight_h2O is in kg H2O / s / cell IF (ok_plane_h2o) THEN q = (M_cell * q + flight_h2o(i, k) * dtime * (1. - q)) / (M_cell + flight_h2o(i, k) * dtime * (1. - q)) ENDIF !--Estimating gamma gamma_ss = MAX(1.0, gamma0 - t_actuel / Tgamma) !gamma_prec = MAX(1.0, gamma0 - t_ancien(i,k)/Tgamma) !--formulation initiale d Audran gamma_prec = MAX(1.0, gamma0 - t / Tgamma) !--autre formulation possible basée sur le T du pas de temps ! Initialisation de qvc : q_sat du pas de temps precedent !qvc = R2ES*FOEEW(t_ancien(i,k),1.)/pplay !--formulation initiale d Audran qvc = R2ES * FOEEW(t, 1.) / pplay !--autre formulation possible basée sur le T du pas de temps qvc = min(0.5, qvc) zcor = 1. / (1. - RETV * qvc) qvc = qvc * zcor ! Modification de ratqs selon formule proposee : ksi_new = ksi_old/(1+beta*alpha_cld) ratqs = ratqs / (tun_ratqs * rneb_seri + 1.) ! Calcul de N pdf_k = -sqrt(log(1. + ratqs**2.)) pdf_a = log(qvc / q) / (pdf_k * sqrt(2.)) pdf_b = pdf_k / (2. * sqrt(2.)) pdf_e1 = pdf_a + pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) pdf_N = max(0., sign(rneb, pdf_e1)) ELSE pdf_e1 = erf(pdf_e1) pdf_e1 = 0.5 * (1. + pdf_e1) pdf_N = max(0., rneb / pdf_e1) ENDIF ! On calcule ensuite N1 et N2. Il y a deux cas : N > 1 et N <= 1 ! Cas 1 : N > 1. N'arrive en theorie jamais, c'est une barriere ! On perd la memoire sur la temperature (sur qvc) pour garder ! celle sur alpha_cld IF (pdf_N>1.) THEN ! On inverse alpha_cld = int_qvc^infty P(q) dq ! pour determiner qvc = f(alpha_cld) ! On approxime en serie entiere erf-1(x) qvc = 2. * rneb - 1. qvc = qvc + PI / 12. * qvc**3 + 7. * PI**2 / 480. * qvc**5 & + 127. * PI**3 / 40320. * qvc**7 + 4369. * PI**4 / 5806080. * qvc**9 & + 34807. * PI**5 / 182476800. * qvc**11 qvc = sqrt(PI) / 2. * qvc qvc = (qvc - pdf_b) * pdf_k * sqrt(2.) qvc = q * exp(qvc) ! On met a jour rneb avec la nouvelle valeur de qvc ! La maj est necessaire a cause de la serie entiere approximative pdf_a = log(qvc / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a + pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF pdf_e1 = 0.5 * (1. + pdf_e1) rneb = pdf_e1 ! Si N > 1, N1 et N2 = 1 pdf_N1 = 1. pdf_N2 = 1. ! Cas 2 : N <= 1 ELSE ! D'abord on calcule N2 avec le tuning pdf_N2 = min(1., pdf_N * tun_N) ! Puis N1 pour assurer la conservation de alpha_cld pdf_a = log(qvc * gamma_prec / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a + pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF pdf_e2 = 0.5 * (1. + pdf_e2) ! integrale sous P pour q > gamma qsat IF (abs(pdf_e1 - pdf_e2)eps) THEN pdf_N2 = rneb / pdf_e2 ELSE pdf_N2 = 0. ENDIF ENDIF ENDIF ! Physique 1 ! Sublimation IF (qvc=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF pdf_a = log(qsat / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a + pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF pdf_e1 = 0.5 * pdf_N1 * (pdf_e1 - pdf_e2) ! Calcul et ajout de la tendance drneb_sub(i, k) = - pdf_e1 / dtime !--unit [s-1] rneb = rneb + drneb_sub(i, k) * dtime ELSE drneb_sub(i, k) = 0. ENDIF ! NOTE : verifier si ca marche bien pour gamma proche de 1. ! Condensation IF (gamma_ss * qsat=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF pdf_a = log(gamma_prec * qvc / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a + pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF pdf_e1 = 0.5 * (1. - pdf_N1) * (pdf_e1 - pdf_e2) pdf_e2 = 0.5 * (1. - pdf_N2) * (1. + pdf_e2) ! Calcul et ajout de la tendance drneb_con(i, k) = (pdf_e1 + pdf_e2) / dtime !--unit [s-1] rneb = rneb + drneb_con(i, k) * dtime ELSE pdf_a = log(gamma_ss * qsat / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a + pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF pdf_e1 = 0.5 * (1. - pdf_N2) * (1. + pdf_e1) ! Calcul et ajout de la tendance drneb_con(i, k) = pdf_e1 / dtime !--unit [s-1] rneb = rneb + drneb_con(i, k) * dtime ENDIF ! Calcul des grandeurs diagnostiques ! Determination des grandeurs ciel clair pdf_a = log(qsat / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a + pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF pdf_e1 = 0.5 * (1. - pdf_e1) pdf_e2 = pdf_a - pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF pdf_e2 = 0.5 * q * (1. - pdf_e2) rnebclr = pdf_e1 qclr = pdf_e2 ! Determination de q_cld ! Partie 1 pdf_a = log(max(qsat, qvc) / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a - pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF pdf_a = log(min(gamma_ss * qsat, gamma_prec * qvc) / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a - pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF pdf_e1 = 0.5 * q * pdf_N1 * (pdf_e1 - pdf_e2) qcld = pdf_e1 ! Partie 2 (sous condition) IF (gamma_ss * qsat>gamma_prec * qvc) THEN pdf_a = log(gamma_ss * qsat / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a - pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF pdf_e2 = 0.5 * q * pdf_N2 * (pdf_e2 - pdf_e1) qcld = qcld + pdf_e2 pdf_e2 = pdf_e1 ENDIF ! Partie 3 pdf_e2 = 0.5 * q * (1. + pdf_e2) qcld = qcld + pdf_e2 ! Fin du calcul de q_cld ! Determination des grandeurs ISSR via les equations de conservation rneb = MIN(rneb, 1. - rnebclr - eps) !--ajout OB - barrière rnebss = MAX(0.0, 1. - rnebclr - rneb) !--ajout OB qss = MAX(0.0, q - qclr - qcld) !--ajout OB ! Physique 2 : Turbulence IF (rneb>eps.AND.rneb<1. - eps) THEN ! rneb != 0 and != 1 tke = pbl_tke(i, k, is_ave) ! A MODIFIER formule a revoir L_tur = min(l_turb, sqrt(tke) * dtime) ! On fait pour l'instant l'hypothese a = 3b. V = 4/3 pi a b**2 = alpha_cld ! donc b = alpha_cld/4pi **1/3. b_tur = (rneb * V_cell / 4. / PI / N_cld)**(1. / 3.) ! On verifie que la longeur de melange n'est pas trop grande IF (L_tur>b_tur) THEN L_tur = b_tur ENDIF V_env = N_cld * 4. * PI * (3. * (b_tur**2.) * L_tur + L_tur**3. + 3. * b_tur * (L_tur**2.)) V_cld = N_cld * 4. * PI * (3. * (b_tur**2.) * L_tur + L_tur**3. - 3. * b_tur * (L_tur**2.)) V_cld = abs(V_cld) ! Repartition statistique des zones de contact nuage-ISSR et nuage-ciel clair sig = rnebss / (chi * rnebclr + rnebss) V_ss = MIN(sig * V_env, rnebss * V_cell) V_clr = MIN((1. - sig) * V_env, rnebclr * V_cell) V_cld = MIN(V_cld, rneb * V_cell) V_env = V_ss + V_clr ! ISSR => rneb drnebss = -1. * V_ss / V_cell dqss = drnebss * qss / MAX(eps, rnebss) ! Clear sky <=> rneb q_eq = V_env * qclr / MAX(eps, rnebclr) + V_cld * qcld / MAX(eps, rneb) q_eq = q_eq / (V_env + V_cld) IF (q_eq>qsat) THEN drnebclr = - V_clr / V_cell dqclr = drnebclr * qclr / MAX(eps, rnebclr) ELSE drnebclr = V_cld / V_cell dqclr = drnebclr * qcld / MAX(eps, rneb) ENDIF ! Maj des variables avec les tendances rnebclr = MAX(0.0, rnebclr + drnebclr) !--OB ajout d'un max avec eps (il faudrait modified drnebclr pour le diag) qclr = MAX(0.0, qclr + dqclr) !--OB ajout d'un max avec 0 rneb = rneb - drnebclr - drnebss qcld = qcld - dqclr - dqss rnebss = MAX(0.0, rnebss + drnebss) !--OB ajout d'un max avec eps (il faudrait modifier drnebss pour le diag) qss = MAX(0.0, qss + dqss) !--OB ajout d'un max avec 0 ! Tendances pour le diagnostic drneb_tur(i, k) = (drnebclr + drnebss) / dtime !--unit [s-1] ENDIF ! rneb !--add a source of cirrus from aviation contrails IF (ok_plane_contrail) THEN drneb_avi(i, k) = rnebss * flight_m(i, k) * contrail_cross_section / V_cell !--tendency rneb due to aviation [s-1] drneb_avi(i, k) = MIN(drneb_avi(i, k), rnebss / dtime) !--majoration dqss_avi = qss * drneb_avi(i, k) / MAX(eps, rnebss) !--tendency q aviation [kg kg-1 s-1] rneb = rneb + drneb_avi(i, k) * dtime !--add tendency to rneb qcld = qcld + dqss_avi * dtime !--add tendency to qcld rnebss = rnebss - drneb_avi(i, k) * dtime !--add tendency to rnebss qss = qss - dqss_avi * dtime !--add tendency to qss ELSE drneb_avi(i, k) = 0.0 ENDIF ! Barrieres ! ISSR trop petite IF (rnebss 0.1) THEN Tcontr = 226.69 + 9.43 * log(Gcontr - 0.053) + 0.72 * (log(Gcontr - 0.053))**2 !--K !PRINT *,'Tcontr=',iter,i,k,eps_w,pplay,Gcontr,Tcontr(i,k) !--Psat with index 0 in FOEEW to get saturation wrt liquid water corresponding to Tcontr !qsatliqcontr = RESTT*FOEEW(Tcontr(i,k),0.) !--Pa qsatliqcontr = RESTT * FOEEW(Tcontr, 0.) !--Pa !--Critical water vapour above which there is contrail formation for ambiant temperature !qcontr(i,k) = Gcontr*(t-Tcontr(i,k)) + qsatliqcontr !--Pa qcontr = Gcontr * (t - Tcontr) + qsatliqcontr !--Pa !--Conversion of qcontr in specific humidity - method 1 !qcontr(i,k) = RD/RV*qcontr(i,k)/pplay !--so as to return to something similar to R2ES*FOEEW/pplay qcontr2 = RD / RV * qcontr / pplay !--so as to return to something similar to R2ES*FOEEW/pplay !qcontr(i,k) = min(0.5,qcontr(i,k)) !--and then we apply the same correction term as for qsat qcontr2 = min(0.5, qcontr2) !--and then we apply the same correction term as for qsat !zcor = 1./(1.-RETV*qcontr(i,k)) !--for consistency with qsat but is it correct at all? zcor = 1. / (1. - RETV * qcontr2) !--for consistency with qsat but is it correct at all as p is dry? !zcor = 1./(1.+qcontr2) !--for consistency with qsat !qcontr(i,k) = qcontr(i,k)*zcor qcontr2 = qcontr2 * zcor qcontr2 = MAX(1.e-10, qcontr2) !--eliminate negative values due to extrapolation on dilution curve !--Conversion of qcontr in specific humidity - method 2 !qcontr(i,k) = eps_w*qcontr(i,k) / (pplay+eps_w*qcontr(i,k)) !qcontr=MAX(1.E-10,qcontr) !qcontr2 = eps_w*qcontr / (pplay+eps_w*qcontr) IF (t < Tcontr) THEN !--contrail formation is possible !--compute fractions of persistent (P) and non-persistent(N) contrail potential regions !!IF (qcontr(i,k).GE.qsat) THEN IF (qcontr2>=qsat) THEN !--none of the unsaturated clear sky is prone for contrail formation !!fcontrN(i,k) = 0.0 fcontrN = 0.0 !--integral of P(q) from qsat to qcontr in ISSR pdf_a = log(qsat / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a + pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF !!pdf_a = log(MIN(qcontr(i,k),qvc)/q)/(pdf_k*sqrt(2.)) pdf_a = log(MIN(qcontr2, qvc) / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a + pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF !!fcontrP(i,k) = MAX(0., 0.5*(pdf_e1-pdf_e2)) fcontrP = MAX(0., 0.5 * (pdf_e1 - pdf_e2)) pdf_a = log(qsat / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a + pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF !!pdf_a = log(MIN(qcontr(i,k),qvc)/q)/(pdf_k*sqrt(2.)) pdf_a = log(MIN(qcontr2, qvc) / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a + pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF !!fcontrP(i,k) = MAX(0., 0.5*(pdf_e1-pdf_e2)) fcontrP = MAX(0., 0.5 * (pdf_e1 - pdf_e2)) pdf_a = log(MAX(qsat, qvc) / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a + pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF !!pdf_a = log(MIN(qcontr(i,k),MIN(gamma_prec*qvc,gamma_ss*qsat))/q)/(pdf_k*sqrt(2.)) pdf_a = log(MIN(qcontr2, MIN(gamma_prec * qvc, gamma_ss * qsat)) / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a + pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF !!fcontrP(i,k) = fcontrP(i,k) + MAX(0., 0.5*(1-pdf_N1)*(pdf_e1-pdf_e2)) fcontrP = fcontrP + MAX(0., 0.5 * (1 - pdf_N1) * (pdf_e1 - pdf_e2)) pdf_a = log(gamma_prec * qvc / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a + pdf_b IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF !!pdf_a = log(MIN(qcontr(i,k),gamma_ss*qsat)/q)/(pdf_k*sqrt(2.)) pdf_a = log(MIN(qcontr2, gamma_ss * qsat) / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a + pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF !!fcontrP(i,k) = fcontrP(i,k) + MAX(0., 0.5*(1-pdf_N2)*(pdf_e1-pdf_e2)) fcontrP = fcontrP + MAX(0., 0.5 * (1 - pdf_N2) * (pdf_e1 - pdf_e2)) ELSE !--qcontr LT qsat !--all of ISSR is prone for contrail formation !!fcontrP(i,k) = rnebss fcontrP = rnebss !--integral of zq from qcontr to qsat in unsaturated clear-sky region !!pdf_a = log(qcontr(i,k)/q)/(pdf_k*sqrt(2.)) pdf_a = log(qcontr2 / q) / (pdf_k * sqrt(2.)) pdf_e1 = pdf_a + pdf_b !--normalement pdf_b est deja defini IF (abs(pdf_e1)>=erf_lim) THEN pdf_e1 = sign(1., pdf_e1) ELSE pdf_e1 = erf(pdf_e1) ENDIF pdf_a = log(qsat / q) / (pdf_k * sqrt(2.)) pdf_e2 = pdf_a + pdf_b IF (abs(pdf_e2)>=erf_lim) THEN pdf_e2 = sign(1., pdf_e2) ELSE pdf_e2 = erf(pdf_e2) ENDIF !!fcontrN(i,k) = 0.5*(pdf_e1-pdf_e2) fcontrN = 0.5 * (pdf_e1 - pdf_e2) !!fcontrN=2.0 ENDIF ENDIF !-- t < Tcontr ENDIF !-- Gcontr > 0.1 END SUBROUTINE ice_sursat !******************************************************************* END MODULE ice_sursat_mod