| 1 | Subroutine WAKE (p,ph,ppi,dtime,sigd_con |
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| 2 | : ,te0,qe0,omgb |
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| 3 | : ,dtdwn,dqdwn,amdwn,amup,dta,dqa |
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| 4 | : ,wdtPBL,wdqPBL,udtPBL,udqPBL |
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| 5 | o ,deltatw,deltaqw,dth,hw,sigmaw,wape,fip,gfl |
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| 6 | o ,dtls,dqls |
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| 7 | o ,ktopw,omgbdth,dp_omgb,wdens |
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| 8 | o ,tu,qu |
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| 9 | o ,dtKE,dqKE |
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| 10 | o ,dtPBL,dqPBL |
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| 11 | o ,omg,dp_deltomg,spread |
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| 12 | o ,Cstar,d_deltat_gw |
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| 13 | o ,d_deltatw2,d_deltaqw2) |
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| 14 | |
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| 15 | *************************************************************** |
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| 16 | * * |
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| 17 | * WAKE * |
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| 18 | * retour a un Pupper fixe * |
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| 19 | * * |
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| 20 | * written by : GRANDPEIX Jean-Yves 09/03/2000 * |
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| 21 | * modified by : ROEHRIG Romain 01/29/2007 * |
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| 22 | *************************************************************** |
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| 23 | c |
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| 24 | USE dimphy |
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| 25 | IMPLICIT none |
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| 26 | c============================================================================ |
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| 27 | C |
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| 28 | C |
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| 29 | C But : Decrire le comportement des poches froides apparaissant dans les |
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| 30 | C grands systemes convectifs, et fournir l'energie disponible pour |
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| 31 | C le declenchement de nouvelles colonnes convectives. |
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| 32 | C |
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| 33 | C Variables d'etat : deltatw : ecart de temperature wake-undisturbed area |
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| 34 | C deltaqw : ecart d'humidite wake-undisturbed area |
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| 35 | C sigmaw : fraction d'aire occupee par la poche. |
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| 36 | C |
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| 37 | C Variable de sortie : |
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| 38 | c |
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| 39 | c wape : WAke Potential Energy |
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| 40 | c fip : Front Incident Power (W/m2) - ALP |
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| 41 | c gfl : Gust Front Length per unit area (m-1) |
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| 42 | C dtls : large scale temperature tendency due to wake |
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| 43 | C dqls : large scale humidity tendency due to wake |
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| 44 | C hw : hauteur de la poche |
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| 45 | C dp_omgb : vertical gradient of large scale omega |
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| 46 | C omgbdth: flux of Delta_Theta transported by LS omega |
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| 47 | C dtKE : differential heating (wake - unpertubed) |
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| 48 | C dqKE : differential moistening (wake - unpertubed) |
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| 49 | C omg : Delta_omg =vertical velocity diff. wake-undist. (Pa/s) |
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| 50 | C dp_deltomg : vertical gradient of omg (s-1) |
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| 51 | C spread : spreading term in dt_wake and dq_wake |
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| 52 | C deltatw : updated temperature difference (T_w-T_u). |
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| 53 | C deltaqw : updated humidity difference (q_w-q_u). |
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| 54 | C sigmaw : updated wake fractional area. |
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| 55 | C d_deltat_gw : delta T tendency due to GW |
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| 56 | c |
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| 57 | C Variables d'entree : |
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| 58 | c |
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| 59 | c aire : aire de la maille |
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| 60 | c te0 : temperature dans l'environnement (K) |
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| 61 | C qe0 : humidite dans l'environnement (kg/kg) |
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| 62 | C omgb : vitesse verticale moyenne sur la maille (Pa/s) |
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| 63 | C dtdwn: source de chaleur due aux descentes (K/s) |
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| 64 | C dqdwn: source d'humidite due aux descentes (kg/kg/s) |
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| 65 | C dta : source de chaleur due courants satures et detrain (K/s) |
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| 66 | C dqa : source d'humidite due aux courants satures et detra (kg/kg/s) |
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| 67 | C amdwn: flux de masse total des descentes, par unite de |
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| 68 | C surface de la maille (kg/m2/s) |
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| 69 | C amup : flux de masse total des ascendances, par unite de |
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| 70 | C surface de la maille (kg/m2/s) |
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| 71 | C p : pressions aux milieux des couches (Pa) |
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| 72 | C ph : pressions aux interfaces (Pa) |
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| 73 | C ppi : (p/p_0)**kapa (adim) |
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| 74 | C dtime: increment temporel (s) |
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| 75 | c |
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| 76 | C Variables internes : |
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| 77 | c |
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| 78 | c rhow : masse volumique de la poche froide |
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| 79 | C rho : environment density at P levels |
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| 80 | C rhoh : environment density at Ph levels |
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| 81 | C te : environment temperature | may change within |
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| 82 | C qe : environment humidity | sub-time-stepping |
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| 83 | C the : environment potential temperature |
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| 84 | C thu : potential temperature in undisturbed area |
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| 85 | C tu : temperature in undisturbed area |
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| 86 | C qu : humidity in undisturbed area |
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| 87 | C dp_omgb: vertical gradient og LS omega |
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| 88 | C omgbw : wake average vertical omega |
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| 89 | C dp_omgbw: vertical gradient of omgbw |
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| 90 | C omgbdq : flux of Delta_q transported by LS omega |
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| 91 | C dth : potential temperature diff. wake-undist. |
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| 92 | C th1 : first pot. temp. for vertical advection (=thu) |
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| 93 | C th2 : second pot. temp. for vertical advection (=thw) |
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| 94 | C q1 : first humidity for vertical advection |
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| 95 | C q2 : second humidity for vertical advection |
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| 96 | C d_deltatw : terme de redistribution pour deltatw |
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| 97 | C d_deltaqw : terme de redistribution pour deltaqw |
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| 98 | C deltatw0 : deltatw initial |
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| 99 | C deltaqw0 : deltaqw initial |
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| 100 | C hw0 : hw initial |
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| 101 | C sigmaw0: sigmaw initial |
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| 102 | C amflux : horizontal mass flux through wake boundary |
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| 103 | C wdens : number of wakes per unit area (3D) or per |
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| 104 | C unit length (2D) |
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| 105 | C Tgw : 1 sur la période de onde de gravité |
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| 106 | c Cgw : vitesse de propagation de onde de gravité |
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| 107 | c LL : distance entre 2 poches |
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| 108 | |
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| 109 | c------------------------------------------------------------------------- |
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| 110 | c Déclaration de variables |
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| 111 | c------------------------------------------------------------------------- |
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| 112 | |
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| 113 | #include "dimensions.h" |
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| 114 | cccc#include "dimphy.h" |
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| 115 | #include "YOMCST.h" |
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| 116 | #include "cvthermo.h" |
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| 117 | #include "iniprint.h" |
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| 118 | |
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| 119 | c Arguments en entree |
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| 120 | c-------------------- |
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| 121 | |
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| 122 | REAL p(klev),ph(klev+1),ppi(klev) |
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| 123 | REAL dtime |
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| 124 | REAL te0(klev),qe0(klev) |
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| 125 | REAL omgb(klev+1) |
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| 126 | REAL dtdwn(klev), dqdwn(klev) |
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| 127 | REAL wdtPBL(klev),wdqPBL(klev) |
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| 128 | REAL udtPBL(klev),udqPBL(klev) |
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| 129 | REAL amdwn(klev), amup(klev) |
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| 130 | REAL dta(klev), dqa(klev) |
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| 131 | REAL sigd_con |
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| 132 | |
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| 133 | c Sorties |
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| 134 | c-------- |
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| 135 | |
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| 136 | REAL deltatw(klev), deltaqw(klev), dth(klev) |
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| 137 | REAL tu(klev), qu(klev) |
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| 138 | REAL dtls(klev), dqls(klev) |
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| 139 | REAL dtKE(klev), dqKE(klev) |
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| 140 | REAL dtPBL(klev), dqPBL(klev) |
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| 141 | REAL spread(klev) |
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| 142 | REAL d_deltatgw(klev) |
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| 143 | REAL d_deltatw2(klev), d_deltaqw2(klev) |
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| 144 | REAL omgbdth(klev+1), omg(klev+1) |
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| 145 | REAL dp_omgb(klev), dp_deltomg(klev) |
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| 146 | REAL d_deltat_gw(klev) |
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| 147 | REAL hw, sigmaw, wape, fip, gfl, Cstar |
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| 148 | INTEGER ktopw |
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| 149 | |
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| 150 | c Variables internes |
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| 151 | c------------------- |
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| 152 | |
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| 153 | c Variables à fixer |
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| 154 | REAL ALON |
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| 155 | REAL coefgw |
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| 156 | REAL wdens0, wdens |
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| 157 | REAL stark |
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| 158 | REAL alpk |
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| 159 | REAL delta_t_min |
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| 160 | REAL Pupper |
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| 161 | INTEGER nsub |
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| 162 | REAL dtimesub |
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| 163 | REAL sigmad, hwmin |
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| 164 | |
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| 165 | c Variables de sauvegarde |
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| 166 | REAL deltatw0(klev) |
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| 167 | REAL deltaqw0(klev) |
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| 168 | REAL te(klev), qe(klev) |
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| 169 | REAL sigmaw0, sigmaw1 |
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| 170 | |
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| 171 | c Variables pour les GW |
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| 172 | REAL LL |
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| 173 | REAL N2(klev) |
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| 174 | REAL Cgw(klev) |
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| 175 | REAL Tgw(klev) |
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| 176 | |
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| 177 | c Variables liées au calcul de hw |
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| 178 | REAL ptop_provis, ptop, ptop_new |
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| 179 | REAL sum_dth |
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| 180 | REAL dthmin |
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| 181 | REAL z, dz, hw0 |
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| 182 | INTEGER ktop, kupper |
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| 183 | |
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| 184 | c Autres variables internes |
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| 185 | INTEGER isubstep, k |
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| 186 | |
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| 187 | REAL sum_thu, sum_tu, sum_qu,sum_thvu |
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| 188 | REAL sum_dq, sum_rho |
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| 189 | REAL sum_dtdwn, sum_dqdwn |
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| 190 | REAL av_thu, av_tu, av_qu, av_thvu |
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| 191 | REAL av_dth, av_dq, av_rho |
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| 192 | REAL av_dtdwn, av_dqdwn |
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| 193 | |
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| 194 | REAL rho(klev), rhoh(klev+1), rhow(klev) |
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| 195 | REAL rhow_moyen(klev) |
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| 196 | REAL zh(klev), zhh(klev+1) |
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| 197 | REAL epaisseur1(klev), epaisseur2(klev) |
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| 198 | |
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| 199 | REAL the(klev), thu(klev) |
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| 200 | |
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| 201 | REAL d_deltatw(klev), d_deltaqw(klev) |
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| 202 | |
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| 203 | REAL omgbw(klev+1), omgtop |
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| 204 | REAL dp_omgbw(klev) |
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| 205 | REAL ztop, dztop |
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| 206 | REAL alpha_up(klev) |
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| 207 | |
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| 208 | REAL RRe1, RRe2, RRd1, RRd2 |
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| 209 | REAL Th1(klev), Th2(klev), q1(klev), q2(klev) |
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| 210 | REAL D_Th1(klev), D_Th2(klev), D_dth(klev) |
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| 211 | REAL D_q1(klev), D_q2(klev), D_dq(klev) |
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| 212 | REAL omgbdq(klev) |
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| 213 | |
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| 214 | REAL ff, gg |
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| 215 | REAL wape2, Cstar2, heff |
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| 216 | |
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| 217 | REAL Crep(klev) |
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| 218 | REAL Crep_upper, Crep_sol |
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| 219 | |
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| 220 | C------------------------------------------------------------------------- |
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| 221 | c Initialisations |
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| 222 | c------------------------------------------------------------------------- |
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| 223 | |
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| 224 | c print*, 'wake initialisations' |
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| 225 | |
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| 226 | c Essais d'initialisation avec sigmaw = 0.02 et hw = 10. |
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| 227 | c------------------------------------------------------------------------- |
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| 228 | |
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| 229 | DATA sigmad, hwmin /.02,10./ |
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| 230 | |
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| 231 | C Longueur de maille (en m) |
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| 232 | c------------------------------------------------------------------------- |
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| 233 | |
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| 234 | c ALON = 3.e5 |
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| 235 | ALON = 1.e6 |
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| 236 | |
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| 237 | |
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| 238 | C Configuration de coefgw,stark,wdens (22/02/06 by YU Jingmei) |
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| 239 | c |
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| 240 | c coefgw : Coefficient pour les ondes de gravité |
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| 241 | c stark : Coefficient k dans Cstar=k*sqrt(2*WAPE) |
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| 242 | c wdens : Densité de poche froide par maille |
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| 243 | c------------------------------------------------------------------------- |
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| 244 | |
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| 245 | coefgw=10 |
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| 246 | c coefgw=1 |
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| 247 | c wdens0 = 1.0/(alon**2) |
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| 248 | wdens = 1.0/(alon**2) |
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| 249 | stark = 0.50 |
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| 250 | cCRtest |
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| 251 | alpk=0.1 |
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| 252 | c alpk = 1.0 |
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| 253 | c alpk = 0.5 |
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| 254 | c alpk = 0.05 |
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| 255 | Crep_upper=0.9 |
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| 256 | Crep_sol=1.0 |
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| 257 | |
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| 258 | |
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| 259 | C Minimum value for |T_wake - T_undist|. Used for wake top definition |
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| 260 | c------------------------------------------------------------------------- |
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| 261 | |
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| 262 | delta_t_min = 0.2 |
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| 263 | |
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| 264 | |
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| 265 | C 1. - Save initial values and initialize tendencies |
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| 266 | C -------------------------------------------------- |
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| 267 | |
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| 268 | DO k=1,klev |
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| 269 | deltatw0(k) = deltatw(k) |
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| 270 | deltaqw0(k)= deltaqw(k) |
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| 271 | te(k) = te0(k) |
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| 272 | qe(k) = qe0(k) |
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| 273 | dtls(k) = 0. |
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| 274 | dqls(k) = 0. |
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| 275 | d_deltat_gw(k)=0. |
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| 276 | d_deltatw2(k)=0. |
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| 277 | d_deltaqw2(k)=0. |
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| 278 | ENDDO |
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| 279 | c sigmaw1=sigmaw |
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| 280 | c IF (sigd_con.GT.sigmaw1) THEN |
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| 281 | c print*, 'sigmaw,sigd_con', sigmaw, sigd_con |
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| 282 | c ENDIF |
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| 283 | sigmaw = max(sigmaw,sigd_con) |
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| 284 | sigmaw = max(sigmaw,sigmad) |
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| 285 | sigmaw = min(sigmaw,0.99) |
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| 286 | sigmaw0 = sigmaw |
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| 287 | c wdens=wdens0/(10.*sigmaw) |
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| 288 | c IF (sigd_con.GT.sigmaw1) THEN |
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| 289 | c print*, 'sigmaw1,sigd1', sigmaw, sigd_con |
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| 290 | c ENDIF |
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| 291 | |
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| 292 | C 2. - Prognostic part |
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| 293 | C ========================================================= |
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| 294 | |
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| 295 | c print *, 'prognostic wake computation' |
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| 296 | |
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| 297 | |
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| 298 | C 2.1 - Undisturbed area and Wake integrals |
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| 299 | C --------------------------------------------------------- |
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| 300 | |
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| 301 | z = 0. |
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| 302 | ktop=0 |
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| 303 | kupper = 0 |
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| 304 | sum_thu = 0. |
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| 305 | sum_tu = 0. |
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| 306 | sum_qu = 0. |
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| 307 | sum_thvu = 0. |
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| 308 | sum_dth = 0. |
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| 309 | sum_dq = 0. |
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| 310 | sum_rho = 0. |
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| 311 | sum_dtdwn = 0. |
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| 312 | sum_dqdwn = 0. |
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| 313 | |
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| 314 | av_thu = 0. |
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| 315 | av_tu =0. |
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| 316 | av_qu =0. |
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| 317 | av_thvu = 0. |
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| 318 | av_dth = 0. |
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| 319 | av_dq = 0. |
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| 320 | av_rho =0. |
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| 321 | av_dtdwn =0. |
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| 322 | av_dqdwn = 0. |
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| 323 | |
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| 324 | C Potential temperatures and humidity |
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| 325 | c---------------------------------------------------------- |
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| 326 | |
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| 327 | DO k =1,klev |
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| 328 | rho(k) = p(k)/(rd*te(k)) |
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| 329 | IF(k .eq. 1) THEN |
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| 330 | rhoh(k) = ph(k)/(rd*te(k)) |
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| 331 | zhh(k)=0 |
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| 332 | ELSE |
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| 333 | rhoh(k) = ph(k)*2./(rd*(te(k)+te(k-1))) |
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| 334 | zhh(k)=(ph(k)-ph(k-1))/(-rhoh(k)*RG)+zhh(k-1) |
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| 335 | ENDIF |
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| 336 | the(k) = te(k)/ppi(k) |
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| 337 | thu(k) = (te(k) - deltatw(k)*sigmaw)/ppi(k) |
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| 338 | tu(k) = te(k) - deltatw(k)*sigmaw |
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| 339 | qu(k) = qe(k) - deltaqw(k)*sigmaw |
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| 340 | rhow(k) = p(k)/(rd*(te(k)+deltatw(k))) |
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| 341 | dth(k) = deltatw(k)/ppi(k) |
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| 342 | LL = (1-sqrt(sigmaw))/sqrt(wdens) |
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| 343 | ENDDO |
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| 344 | |
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| 345 | DO k = 1, klev-1 |
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| 346 | IF(k.eq.1) THEN |
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| 347 | N2(k)=0 |
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| 348 | ELSE |
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| 349 | N2(k)=max(0.,-RG**2/the(k)*rho(k)*(the(k+1)-the(k-1)) |
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| 350 | $ /(p(k+1)-p(k-1))) |
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| 351 | ENDIF |
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| 352 | ZH(k)=(zhh(k)+zhh(k+1))/2 |
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| 353 | |
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| 354 | Cgw(k)=sqrt(N2(k))*ZH(k) |
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| 355 | Tgw(k)=coefgw*Cgw(k)/LL |
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| 356 | ENDDO |
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| 357 | |
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| 358 | N2(klev)=0 |
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| 359 | ZH(klev)=0 |
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| 360 | Cgw(klev)=0 |
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| 361 | Tgw(klev)=0 |
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| 362 | |
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| 363 | c Calcul de la masse volumique moyenne de la colonne |
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| 364 | c----------------------------------------------------------------- |
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| 365 | |
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| 366 | DO k=1,klev |
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| 367 | epaisseur1(k)=0. |
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| 368 | epaisseur2(k)=0. |
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| 369 | ENDDO |
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| 370 | |
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| 371 | epaisseur1(1)= -(Ph(2)-Ph(1))/(rho(1)*rg)+1. |
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| 372 | epaisseur2(1)= -(Ph(2)-Ph(1))/(rho(1)*rg)+1. |
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| 373 | rhow_moyen(1) = rhow(1) |
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| 374 | |
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| 375 | DO k = 2, klev |
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| 376 | epaisseur1(k)= -(Ph(k+1)-Ph(k))/(rho(k)*rg) +1. |
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| 377 | epaisseur2(k)=epaisseur2(k-1)+epaisseur1(k) |
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| 378 | rhow_moyen(k) = (rhow_moyen(k-1)*epaisseur2(k-1)+ |
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| 379 | $ rhow(k)*epaisseur1(k))/epaisseur2(k) |
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| 380 | ENDDO |
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| 381 | |
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| 382 | |
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| 383 | C Choose an integration bound well above wake top |
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| 384 | c----------------------------------------------------------------- |
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| 385 | |
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| 386 | c Pupper = 50000. ! melting level |
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| 387 | Pupper = 60000. |
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| 388 | c Pupper = 70000. |
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| 389 | |
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| 390 | |
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| 391 | C Determine Wake top pressure (Ptop) from buoyancy integral |
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| 392 | C----------------------------------------------------------------- |
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| 393 | |
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| 394 | c-1/ Pressure of the level where dth becomes less than delta_t_min. |
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| 395 | |
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| 396 | Ptop_provis=ph(1) |
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| 397 | DO k= 2,klev |
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| 398 | IF (dth(k) .GT. -delta_t_min .and. |
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| 399 | $ dth(k-1).LT. -delta_t_min) THEN |
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| 400 | Ptop_provis = ((dth(k)+delta_t_min)*p(k-1) |
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| 401 | $ - (dth(k-1)+delta_t_min)*p(k)) /(dth(k) - dth(k-1)) |
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| 402 | GO TO 25 |
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| 403 | ENDIF |
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| 404 | ENDDO |
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| 405 | 25 CONTINUE |
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| 406 | |
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| 407 | c-2/ dth integral |
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| 408 | |
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| 409 | sum_dth = 0. |
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| 410 | dthmin = -delta_t_min |
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| 411 | z = 0. |
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| 412 | |
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| 413 | DO k = 1,klev |
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| 414 | dz = -(max(ph(k+1),Ptop_provis)-Ph(k))/(rho(k)*rg) |
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| 415 | IF (dz .le. 0) GO TO 40 |
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| 416 | z = z+dz |
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| 417 | sum_dth = sum_dth + dth(k)*dz |
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| 418 | dthmin = min(dthmin,dth(k)) |
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| 419 | ENDDO |
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| 420 | 40 CONTINUE |
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| 421 | |
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| 422 | c-3/ height of triangle with area= sum_dth and base = dthmin |
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| 423 | |
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| 424 | hw0 = 2.*sum_dth/min(dthmin,-0.5) |
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| 425 | hw0 = max(hwmin,hw0) |
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| 426 | |
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| 427 | c-4/ now, get Ptop |
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| 428 | |
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| 429 | z = 0. |
|---|
| 430 | ptop = ph(1) |
|---|
| 431 | |
|---|
| 432 | DO k = 1,klev |
|---|
| 433 | dz = min(-(ph(k+1)-Ph(k))/(rho(k)*rg),hw0-z) |
|---|
| 434 | IF (dz .le. 0) GO TO 45 |
|---|
| 435 | z = z+dz |
|---|
| 436 | Ptop = Ph(k)-rho(k)*rg*dz |
|---|
| 437 | ENDDO |
|---|
| 438 | 45 CONTINUE |
|---|
| 439 | |
|---|
| 440 | |
|---|
| 441 | C-5/ Determination de ktop et kupper |
|---|
| 442 | |
|---|
| 443 | DO k=klev,1,-1 |
|---|
| 444 | IF (ph(k+1) .lt. ptop) ktop=k |
|---|
| 445 | IF (ph(k+1) .lt. pupper) kupper=k |
|---|
| 446 | ENDDO |
|---|
| 447 | |
|---|
| 448 | c-6/ Correct ktop and ptop |
|---|
| 449 | |
|---|
| 450 | Ptop_new=ptop |
|---|
| 451 | DO k= ktop,2,-1 |
|---|
| 452 | IF (dth(k) .GT. -delta_t_min .and. |
|---|
| 453 | $ dth(k-1).LT. -delta_t_min) THEN |
|---|
| 454 | Ptop_new = ((dth(k)+delta_t_min)*p(k-1) |
|---|
| 455 | $ - (dth(k-1)+delta_t_min)*p(k)) /(dth(k) - dth(k-1)) |
|---|
| 456 | GO TO 225 |
|---|
| 457 | ENDIF |
|---|
| 458 | ENDDO |
|---|
| 459 | 225 CONTINUE |
|---|
| 460 | |
|---|
| 461 | ptop = ptop_new |
|---|
| 462 | |
|---|
| 463 | DO k=klev,1,-1 |
|---|
| 464 | IF (ph(k+1) .lt. ptop) ktop=k |
|---|
| 465 | ENDDO |
|---|
| 466 | |
|---|
| 467 | c Set deltatw & deltaqw to 0 above kupper |
|---|
| 468 | c----------------------------------------------------------- |
|---|
| 469 | |
|---|
| 470 | DO k = kupper,klev |
|---|
| 471 | deltatw(k) = 0. |
|---|
| 472 | deltaqw(k) = 0. |
|---|
| 473 | ENDDO |
|---|
| 474 | |
|---|
| 475 | |
|---|
| 476 | C Vertical gradient of LS omega |
|---|
| 477 | C------------------------------------------------------------ |
|---|
| 478 | |
|---|
| 479 | DO k = 1,kupper |
|---|
| 480 | dp_omgb(k) = (omgb(k+1) - omgb(k))/(ph(k+1)-ph(k)) |
|---|
| 481 | ENDDO |
|---|
| 482 | |
|---|
| 483 | |
|---|
| 484 | C Integrals (and wake top level number) |
|---|
| 485 | C ----------------------------------------------------------- |
|---|
| 486 | |
|---|
| 487 | C Initialize sum_thvu to 1st level virt. pot. temp. |
|---|
| 488 | |
|---|
| 489 | z = 1. |
|---|
| 490 | dz = 1. |
|---|
| 491 | sum_thvu = thu(1)*(1.+eps*qu(1))*dz |
|---|
| 492 | sum_dth = 0. |
|---|
| 493 | |
|---|
| 494 | DO k = 1,klev |
|---|
| 495 | dz = -(max(ph(k+1),Ptop)-Ph(k))/(rho(k)*rg) |
|---|
| 496 | IF (dz .LE. 0) GO TO 50 |
|---|
| 497 | z = z+dz |
|---|
| 498 | sum_thu = sum_thu + thu(k)*dz |
|---|
| 499 | sum_tu = sum_tu + tu(k)*dz |
|---|
| 500 | sum_qu = sum_qu + qu(k)*dz |
|---|
| 501 | sum_thvu = sum_thvu + thu(k)*(1.+eps*qu(k))*dz |
|---|
| 502 | sum_dth = sum_dth + dth(k)*dz |
|---|
| 503 | sum_dq = sum_dq + deltaqw(k)*dz |
|---|
| 504 | sum_rho = sum_rho + rhow(k)*dz |
|---|
| 505 | sum_dtdwn = sum_dtdwn + dtdwn(k)*dz |
|---|
| 506 | sum_dqdwn = sum_dqdwn + dqdwn(k)*dz |
|---|
| 507 | ENDDO |
|---|
| 508 | 50 CONTINUE |
|---|
| 509 | |
|---|
| 510 | hw0 = z |
|---|
| 511 | |
|---|
| 512 | C 2.1 - WAPE and mean forcing computation |
|---|
| 513 | C------------------------------------------------------------- |
|---|
| 514 | |
|---|
| 515 | C Means |
|---|
| 516 | |
|---|
| 517 | av_thu = sum_thu/hw0 |
|---|
| 518 | av_tu = sum_tu/hw0 |
|---|
| 519 | av_qu = sum_qu/hw0 |
|---|
| 520 | av_thvu = sum_thvu/hw0 |
|---|
| 521 | c av_thve = sum_thve/hw0 |
|---|
| 522 | av_dth = sum_dth/hw0 |
|---|
| 523 | av_dq = sum_dq/hw0 |
|---|
| 524 | av_rho = sum_rho/hw0 |
|---|
| 525 | av_dtdwn = sum_dtdwn/hw0 |
|---|
| 526 | av_dqdwn = sum_dqdwn/hw0 |
|---|
| 527 | |
|---|
| 528 | wape = - rg*hw0*(av_dth |
|---|
| 529 | $ + eps*(av_thu*av_dq+av_dth*av_qu+av_dth*av_dq ))/av_thvu |
|---|
| 530 | |
|---|
| 531 | C 2.2 Prognostic variable update |
|---|
| 532 | C ------------------------------------------------------------ |
|---|
| 533 | |
|---|
| 534 | C Filter out bad wakes |
|---|
| 535 | |
|---|
| 536 | IF ( wape .LT. 0.) THEN |
|---|
| 537 | if(prt_level.ge.10) print*,'wape<0' |
|---|
| 538 | wape = 0. |
|---|
| 539 | hw = hwmin |
|---|
| 540 | sigmaw = max(sigmad,sigd_con) |
|---|
| 541 | fip = 0. |
|---|
| 542 | DO k = 1,klev |
|---|
| 543 | deltatw(k) = 0. |
|---|
| 544 | deltaqw(k) = 0. |
|---|
| 545 | dth(k) = 0. |
|---|
| 546 | ENDDO |
|---|
| 547 | ELSE |
|---|
| 548 | if(prt_level.ge.10) print*,'wape>0' |
|---|
| 549 | Cstar = stark*sqrt(2.*wape) |
|---|
| 550 | ENDIF |
|---|
| 551 | |
|---|
| 552 | C------------------------------------------------------------------ |
|---|
| 553 | C Sub-time-stepping |
|---|
| 554 | C------------------------------------------------------------------ |
|---|
| 555 | |
|---|
| 556 | c nsub=36 |
|---|
| 557 | nsub=10 |
|---|
| 558 | dtimesub=dtime/nsub |
|---|
| 559 | |
|---|
| 560 | c------------------------------------------------------------ |
|---|
| 561 | DO isubstep = 1,nsub |
|---|
| 562 | c------------------------------------------------------------ |
|---|
| 563 | |
|---|
| 564 | c print*,'---------------','substep=',isubstep,'-------------' |
|---|
| 565 | |
|---|
| 566 | c Evolution of sigmaw |
|---|
| 567 | |
|---|
| 568 | |
|---|
| 569 | gfl = 2.*sqrt(3.14*wdens*sigmaw) |
|---|
| 570 | |
|---|
| 571 | sigmaw =sigmaw + gfl*Cstar*dtimesub |
|---|
| 572 | sigmaw =min(sigmaw,0.99) !!!!!!!! |
|---|
| 573 | c wdens = wdens0/(10.*sigmaw) |
|---|
| 574 | c sigmaw =max(sigmaw,sigd_con) |
|---|
| 575 | c sigmaw =max(sigmaw,sigmad) |
|---|
| 576 | |
|---|
| 577 | c calcul de la difference de vitesse verticale poche - zone non perturbee |
|---|
| 578 | |
|---|
| 579 | z= 0. |
|---|
| 580 | dp_deltomg(1:klev)=0. |
|---|
| 581 | omg(1:klev+1)=0. |
|---|
| 582 | |
|---|
| 583 | omg(1) = 0. |
|---|
| 584 | dp_deltomg(1) = -(gfl*Cstar)/(sigmaw * (1-sigmaw)) |
|---|
| 585 | |
|---|
| 586 | DO k=2,ktop |
|---|
| 587 | dz = -(Ph(k)-Ph(k-1))/(rho(k-1)*rg) |
|---|
| 588 | z = z+dz |
|---|
| 589 | dp_deltomg(k)= dp_deltomg(1) |
|---|
| 590 | omg(k)= dp_deltomg(1)*z |
|---|
| 591 | ENDDO |
|---|
| 592 | |
|---|
| 593 | dztop=-(Ptop-Ph(ktop))/(rho(ktop)*rg) |
|---|
| 594 | ztop = z+dztop |
|---|
| 595 | omgtop=dp_deltomg(1)*ztop |
|---|
| 596 | |
|---|
| 597 | |
|---|
| 598 | c Conversion de la vitesse verticale de m/s a Pa/s |
|---|
| 599 | |
|---|
| 600 | omgtop = -rho(ktop)*rg*omgtop |
|---|
| 601 | dp_deltomg(1) = omgtop/(ptop-ph(1)) |
|---|
| 602 | |
|---|
| 603 | DO k = 1,ktop |
|---|
| 604 | omg(k) = - rho(k)*rg*omg(k) |
|---|
| 605 | dp_deltomg(k) = dp_deltomg(1) |
|---|
| 606 | ENDDO |
|---|
| 607 | |
|---|
| 608 | c raccordement lineaire de omg de ptop a pupper |
|---|
| 609 | |
|---|
| 610 | IF (kupper .GT. ktop) THEN |
|---|
| 611 | omg(kupper+1) = - Rg*amdwn(kupper+1)/sigmaw |
|---|
| 612 | $ + Rg*amup(kupper+1)/(1.-sigmaw) |
|---|
| 613 | dp_deltomg(kupper) = (omgtop-omg(kupper+1))/(Ptop-Pupper) |
|---|
| 614 | DO k=ktop+1,kupper |
|---|
| 615 | dp_deltomg(k) = dp_deltomg(kupper) |
|---|
| 616 | omg(k) = omgtop+(ph(k)-Ptop)*dp_deltomg(kupper) |
|---|
| 617 | ENDDO |
|---|
| 618 | ENDIF |
|---|
| 619 | |
|---|
| 620 | c Compute wake average vertical velocity omgbw |
|---|
| 621 | |
|---|
| 622 | DO k = 1,klev+1 |
|---|
| 623 | omgbw(k) = omgb(k)+(1.-sigmaw)*omg(k) |
|---|
| 624 | ENDDO |
|---|
| 625 | |
|---|
| 626 | c and its vertical gradient dp_omgbw |
|---|
| 627 | |
|---|
| 628 | DO k = 1,klev |
|---|
| 629 | dp_omgbw(k) = (omgbw(k+1)-omgbw(k))/(ph(k+1)-ph(k)) |
|---|
| 630 | ENDDO |
|---|
| 631 | |
|---|
| 632 | |
|---|
| 633 | c Upstream coefficients for omgb velocity |
|---|
| 634 | c-- (alpha_up(k) is the coefficient of the value at level k) |
|---|
| 635 | c-- (1-alpha_up(k) is the coefficient of the value at level k-1) |
|---|
| 636 | |
|---|
| 637 | DO k = 1,klev |
|---|
| 638 | alpha_up(k) = 0. |
|---|
| 639 | IF (omgb(k) .GT. 0.) alpha_up(k) = 1. |
|---|
| 640 | ENDDO |
|---|
| 641 | |
|---|
| 642 | c Matrix expressing [The,deltatw] from [Th1,Th2] |
|---|
| 643 | |
|---|
| 644 | RRe1 = 1.-sigmaw |
|---|
| 645 | RRe2 = sigmaw |
|---|
| 646 | RRd1 = -1. |
|---|
| 647 | RRd2 = 1. |
|---|
| 648 | |
|---|
| 649 | c Get [Th1,Th2], dth and [q1,q2] |
|---|
| 650 | |
|---|
| 651 | DO k = 1,kupper+1 |
|---|
| 652 | dth(k) = deltatw(k)/ppi(k) |
|---|
| 653 | Th1(k) = the(k) - sigmaw *dth(k) ! undisturbed area |
|---|
| 654 | Th2(k) = the(k) + (1.-sigmaw)*dth(k) ! wake |
|---|
| 655 | q1(k) = qe(k) - sigmaw *deltaqw(k) ! undisturbed area |
|---|
| 656 | q2(k) = qe(k) + (1.-sigmaw)*deltaqw(k) ! wake |
|---|
| 657 | ENDDO |
|---|
| 658 | |
|---|
| 659 | D_Th1(1) = 0. |
|---|
| 660 | D_Th2(1) = 0. |
|---|
| 661 | D_dth(1) = 0. |
|---|
| 662 | D_q1(1) = 0. |
|---|
| 663 | D_q2(1) = 0. |
|---|
| 664 | D_dq(1) = 0. |
|---|
| 665 | |
|---|
| 666 | DO k = 2,kupper+1 ! loop on interfaces |
|---|
| 667 | D_Th1(k) = Th1(k-1)-Th1(k) |
|---|
| 668 | D_Th2(k) = Th2(k-1)-Th2(k) |
|---|
| 669 | D_dth(k) = dth(k-1)-dth(k) |
|---|
| 670 | D_q1(k) = q1(k-1)-q1(k) |
|---|
| 671 | D_q2(k) = q2(k-1)-q2(k) |
|---|
| 672 | D_dq(k) = deltaqw(k-1)-deltaqw(k) |
|---|
| 673 | ENDDO |
|---|
| 674 | |
|---|
| 675 | omgbdth(1) = 0. |
|---|
| 676 | omgbdq(1) = 0. |
|---|
| 677 | |
|---|
| 678 | DO k = 2,kupper+1 ! loop on interfaces |
|---|
| 679 | omgbdth(k) = omgb(k)*( dth(k-1) - dth(k)) |
|---|
| 680 | omgbdq(k) = omgb(k)*(deltaqw(k-1) - deltaqw(k)) |
|---|
| 681 | ENDDO |
|---|
| 682 | |
|---|
| 683 | |
|---|
| 684 | c----------------------------------------------------------------- |
|---|
| 685 | DO k=1,kupper-1 |
|---|
| 686 | c----------------------------------------------------------------- |
|---|
| 687 | c |
|---|
| 688 | c Compute redistribution (advective) term |
|---|
| 689 | c |
|---|
| 690 | d_deltatw(k) = |
|---|
| 691 | $ dtimesub/(Ph(k)-Ph(k+1))*( |
|---|
| 692 | $ RRd1*omg(k )*sigmaw *D_Th1(k) |
|---|
| 693 | $ -RRd2*omg(k+1)*(1.-sigmaw)*D_Th2(k+1) |
|---|
| 694 | $ -(1.-alpha_up(k))*omgbdth(k) - alpha_up(k+1)*omgbdth(k+1) |
|---|
| 695 | $ )*ppi(k) |
|---|
| 696 | c print*,'d_deltatw=',d_deltatw(k) |
|---|
| 697 | c |
|---|
| 698 | d_deltaqw(k) = |
|---|
| 699 | $ dtimesub/(Ph(k)-Ph(k+1))*( |
|---|
| 700 | $ RRd1*omg(k )*sigmaw *D_q1(k) |
|---|
| 701 | $ -RRd2*omg(k+1)*(1.-sigmaw)*D_q2(k+1) |
|---|
| 702 | $ -(1.-alpha_up(k))*omgbdq(k) - alpha_up(k+1)*omgbdq(k+1) |
|---|
| 703 | $ ) |
|---|
| 704 | c print*,'d_deltaqw=',d_deltaqw(k) |
|---|
| 705 | c |
|---|
| 706 | c and increment large scale tendencies |
|---|
| 707 | c |
|---|
| 708 | dtls(k) = dtls(k) + |
|---|
| 709 | $ dtimesub*( |
|---|
| 710 | $ ( RRe1*omg(k )*sigmaw *D_Th1(k) |
|---|
| 711 | $ -RRe2*omg(k+1)*(1.-sigmaw)*D_Th2(k+1) ) |
|---|
| 712 | $ /(Ph(k)-Ph(k+1)) |
|---|
| 713 | $ -sigmaw*(1.-sigmaw)*dth(k)*dp_deltomg(k) |
|---|
| 714 | $ )*ppi(k) |
|---|
| 715 | c print*,'dtls=',dtls(k) |
|---|
| 716 | c |
|---|
| 717 | dqls(k) = dqls(k) + |
|---|
| 718 | $ dtimesub*( |
|---|
| 719 | $ ( RRe1*omg(k )*sigmaw *D_q1(k) |
|---|
| 720 | $ -RRe2*omg(k+1)*(1.-sigmaw)*D_q2(k+1) ) |
|---|
| 721 | $ /(Ph(k)-Ph(k+1)) |
|---|
| 722 | $ -sigmaw*(1.-sigmaw)*deltaqw(k)*dp_deltomg(k) |
|---|
| 723 | $ ) |
|---|
| 724 | c print*,'dqls=',dqls(k) |
|---|
| 725 | |
|---|
| 726 | c------------------------------------------------------------------- |
|---|
| 727 | ENDDO |
|---|
| 728 | c------------------------------------------------------------------ |
|---|
| 729 | |
|---|
| 730 | C Increment state variables |
|---|
| 731 | |
|---|
| 732 | DO k = 1,kupper-1 |
|---|
| 733 | |
|---|
| 734 | c Coefficient de répartition |
|---|
| 735 | |
|---|
| 736 | Crep(k)=Crep_sol*(ph(kupper)-ph(k))/(ph(kupper)-ph(1)) |
|---|
| 737 | Crep(k)=Crep(k)+Crep_upper*(ph(1)-ph(k))/(p(1)-ph(kupper)) |
|---|
| 738 | |
|---|
| 739 | |
|---|
| 740 | c Reintroduce compensating subsidence term. |
|---|
| 741 | |
|---|
| 742 | c dtKE(k)=(dtdwn(k)*Crep(k))/sigmaw |
|---|
| 743 | c dtKE(k)=dtKE(k)-(dtdwn(k)*(1-Crep(k))+dta(k)) |
|---|
| 744 | c . /(1-sigmaw) |
|---|
| 745 | c dqKE(k)=(dqdwn(k)*Crep(k))/sigmaw |
|---|
| 746 | c dqKE(k)=dqKE(k)-(dqdwn(k)*(1-Crep(k))+dqa(k)) |
|---|
| 747 | c . /(1-sigmaw) |
|---|
| 748 | c |
|---|
| 749 | c dtKE(k)=(dtdwn(k)*Crep(k)+(1-Crep(k))*dta(k))/sigmaw |
|---|
| 750 | c dtKE(k)=dtKE(k)-(dtdwn(k)*(1-Crep(k))+dta(k)*Crep(k)) |
|---|
| 751 | c . /(1-sigmaw) |
|---|
| 752 | c dqKE(k)=(dqdwn(k)*Crep(k)+(1-Crep(k))*dqa(k))/sigmaw |
|---|
| 753 | c dqKE(k)=dqKE(k)-(dqdwn(k)*(1-Crep(k))+dqa(k)*Crep(k)) |
|---|
| 754 | c . /(1-sigmaw) |
|---|
| 755 | |
|---|
| 756 | dtKE(k)=(dtdwn(k)/sigmaw - dta(k)/(1.-sigmaw)) |
|---|
| 757 | dqKE(k)=(dqdwn(k)/sigmaw - dqa(k)/(1.-sigmaw)) |
|---|
| 758 | c print*,'dtKE=',dtKE(k) |
|---|
| 759 | c print*,'dqKE=',dqKE(k) |
|---|
| 760 | c |
|---|
| 761 | dtPBL(k)=(wdtPBL(k)/sigmaw - udtPBL(k)/(1.-sigmaw)) |
|---|
| 762 | dqPBL(k)=(wdqPBL(k)/sigmaw - udqPBL(k)/(1.-sigmaw)) |
|---|
| 763 | c |
|---|
| 764 | spread(k) = (1.-sigmaw)*dp_deltomg(k)+gfl*Cstar/sigmaw |
|---|
| 765 | c print*,'spread=',spread(k) |
|---|
| 766 | |
|---|
| 767 | |
|---|
| 768 | c ajout d'un effet onde de gravité -Tgw(k)*deltatw(k) 03/02/06 YU Jingmei |
|---|
| 769 | |
|---|
| 770 | d_deltat_gw(k)=d_deltat_gw(k)-Tgw(k)*deltatw(k)* dtimesub |
|---|
| 771 | c print*,'d_delta_gw=',d_deltat_gw(k) |
|---|
| 772 | ff=d_deltatw(k)/dtimesub |
|---|
| 773 | |
|---|
| 774 | c Sans GW |
|---|
| 775 | c |
|---|
| 776 | c deltatw(k)=deltatw(k)+dtimesub*(ff+dtKE(k)-spread(k)*deltatw(k)) |
|---|
| 777 | c |
|---|
| 778 | c GW formule 1 |
|---|
| 779 | c |
|---|
| 780 | c deltatw(k) = deltatw(k)+dtimesub* |
|---|
| 781 | c $ (ff+dtKE(k) - spread(k)*deltatw(k)-Tgw(k)*deltatw(k)) |
|---|
| 782 | c |
|---|
| 783 | c GW formule 2 |
|---|
| 784 | |
|---|
| 785 | IF (dtimesub*Tgw(k).lt.1.e-10) THEN |
|---|
| 786 | deltatw(k) = deltatw(k)+dtimesub* |
|---|
| 787 | $ (ff+dtKE(k)+dtPBL(k) |
|---|
| 788 | $ - spread(k)*deltatw(k)-Tgw(k)*deltatw(k)) |
|---|
| 789 | ELSE |
|---|
| 790 | deltatw(k) = deltatw(k)+1/Tgw(k)*(1-exp(-dtimesub*Tgw(k)))* |
|---|
| 791 | $ (ff+dtKE(k)+dtPBL(k) |
|---|
| 792 | $ - spread(k)*deltatw(k)-Tgw(k)*deltatw(k)) |
|---|
| 793 | ENDIF |
|---|
| 794 | |
|---|
| 795 | dth(k) = deltatw(k)/ppi(k) |
|---|
| 796 | |
|---|
| 797 | gg=d_deltaqw(k)/dtimesub |
|---|
| 798 | |
|---|
| 799 | deltaqw(k) = deltaqw(k) + |
|---|
| 800 | $ dtimesub*(gg+ dqKE(k)+dqPBL(k) - spread(k)*deltaqw(k)) |
|---|
| 801 | |
|---|
| 802 | d_deltatw2(k)=d_deltatw2(k)+d_deltatw(k) |
|---|
| 803 | d_deltaqw2(k)=d_deltaqw2(k)+d_deltaqw(k) |
|---|
| 804 | ENDDO |
|---|
| 805 | |
|---|
| 806 | C And update large scale variables |
|---|
| 807 | |
|---|
| 808 | DO k = 1,kupper |
|---|
| 809 | te(k) = te0(k) + dtls(k) |
|---|
| 810 | qe(k) = qe0(k) + dqls(k) |
|---|
| 811 | the(k) = te(k)/ppi(k) |
|---|
| 812 | ENDDO |
|---|
| 813 | |
|---|
| 814 | c Determine Ptop from buoyancy integral |
|---|
| 815 | c---------------------------------------------------------------------- |
|---|
| 816 | |
|---|
| 817 | c-1/ Pressure of the level where dth changes sign. |
|---|
| 818 | |
|---|
| 819 | Ptop_provis=ph(1) |
|---|
| 820 | |
|---|
| 821 | DO k= 2,klev |
|---|
| 822 | IF (dth(k) .GT. -delta_t_min .and. |
|---|
| 823 | $ dth(k-1).LT. -delta_t_min) THEN |
|---|
| 824 | Ptop_provis = ((dth(k)+delta_t_min)*p(k-1) |
|---|
| 825 | $ - (dth(k-1)+delta_t_min)*p(k)) /(dth(k) - dth(k-1)) |
|---|
| 826 | GO TO 65 |
|---|
| 827 | ENDIF |
|---|
| 828 | ENDDO |
|---|
| 829 | 65 CONTINUE |
|---|
| 830 | |
|---|
| 831 | c-2/ dth integral |
|---|
| 832 | |
|---|
| 833 | sum_dth = 0. |
|---|
| 834 | dthmin = -delta_t_min |
|---|
| 835 | z = 0. |
|---|
| 836 | |
|---|
| 837 | DO k = 1,klev |
|---|
| 838 | dz = -(max(ph(k+1),Ptop_provis)-Ph(k))/(rho(k)*rg) |
|---|
| 839 | IF (dz .le. 0) GO TO 70 |
|---|
| 840 | z = z+dz |
|---|
| 841 | sum_dth = sum_dth + dth(k)*dz |
|---|
| 842 | dthmin = min(dthmin,dth(k)) |
|---|
| 843 | ENDDO |
|---|
| 844 | 70 CONTINUE |
|---|
| 845 | |
|---|
| 846 | c-3/ height of triangle with area= sum_dth and base = dthmin |
|---|
| 847 | |
|---|
| 848 | hw = 2.*sum_dth/min(dthmin,-0.5) |
|---|
| 849 | hw = max(hwmin,hw) |
|---|
| 850 | |
|---|
| 851 | c-4/ now, get Ptop |
|---|
| 852 | |
|---|
| 853 | ktop = 0 |
|---|
| 854 | z=0. |
|---|
| 855 | |
|---|
| 856 | DO k = 1,klev |
|---|
| 857 | dz = min(-(ph(k+1)-Ph(k))/(rho(k)*rg),hw-z) |
|---|
| 858 | IF (dz .le. 0) GO TO 75 |
|---|
| 859 | z = z+dz |
|---|
| 860 | Ptop = Ph(k)-rho(k)*rg*dz |
|---|
| 861 | ktop = k |
|---|
| 862 | ENDDO |
|---|
| 863 | 75 CONTINUE |
|---|
| 864 | |
|---|
| 865 | c-5/Correct ktop and ptop |
|---|
| 866 | |
|---|
| 867 | Ptop_new=ptop |
|---|
| 868 | |
|---|
| 869 | DO k= ktop,2,-1 |
|---|
| 870 | IF (dth(k) .GT. -delta_t_min .and. |
|---|
| 871 | $ dth(k-1).LT. -delta_t_min) THEN |
|---|
| 872 | Ptop_new = ((dth(k)+delta_t_min)*p(k-1) |
|---|
| 873 | $ - (dth(k-1)+delta_t_min)*p(k)) /(dth(k) - dth(k-1)) |
|---|
| 874 | GO TO 275 |
|---|
| 875 | ENDIF |
|---|
| 876 | ENDDO |
|---|
| 877 | 275 CONTINUE |
|---|
| 878 | |
|---|
| 879 | ptop = ptop_new |
|---|
| 880 | |
|---|
| 881 | DO k=klev,1,-1 |
|---|
| 882 | IF (ph(k+1) .LT. ptop) ktop=k |
|---|
| 883 | ENDDO |
|---|
| 884 | |
|---|
| 885 | c-6/ Set deltatw & deltaqw to 0 above kupper |
|---|
| 886 | |
|---|
| 887 | DO k = kupper,klev |
|---|
| 888 | deltatw(k) = 0. |
|---|
| 889 | deltaqw(k) = 0. |
|---|
| 890 | ENDDO |
|---|
| 891 | |
|---|
| 892 | c------------------------------------------------------------------ |
|---|
| 893 | ENDDO ! end sub-timestep loop |
|---|
| 894 | C ----------------------------------------------------------------- |
|---|
| 895 | |
|---|
| 896 | c Get back to tendencies per second |
|---|
| 897 | |
|---|
| 898 | DO k = 1,kupper-1 |
|---|
| 899 | dtls(k) = dtls(k)/dtime |
|---|
| 900 | dqls(k) = dqls(k)/dtime |
|---|
| 901 | d_deltatw2(k)=d_deltatw2(k)/dtime |
|---|
| 902 | d_deltaqw2(k)=d_deltaqw2(k)/dtime |
|---|
| 903 | d_deltat_gw(k) = d_deltat_gw(k)/dtime |
|---|
| 904 | ENDDO |
|---|
| 905 | |
|---|
| 906 | C 2.1 - Undisturbed area and Wake integrals |
|---|
| 907 | C --------------------------------------------------------- |
|---|
| 908 | |
|---|
| 909 | z = 0. |
|---|
| 910 | sum_thu = 0. |
|---|
| 911 | sum_tu = 0. |
|---|
| 912 | sum_qu = 0. |
|---|
| 913 | sum_thvu = 0. |
|---|
| 914 | sum_dth = 0. |
|---|
| 915 | sum_dq = 0. |
|---|
| 916 | sum_rho = 0. |
|---|
| 917 | sum_dtdwn = 0. |
|---|
| 918 | sum_dqdwn = 0. |
|---|
| 919 | |
|---|
| 920 | av_thu = 0. |
|---|
| 921 | av_tu =0. |
|---|
| 922 | av_qu =0. |
|---|
| 923 | av_thvu = 0. |
|---|
| 924 | av_dth = 0. |
|---|
| 925 | av_dq = 0. |
|---|
| 926 | av_rho =0. |
|---|
| 927 | av_dtdwn =0. |
|---|
| 928 | av_dqdwn = 0. |
|---|
| 929 | |
|---|
| 930 | C Potential temperatures and humidity |
|---|
| 931 | c---------------------------------------------------------- |
|---|
| 932 | |
|---|
| 933 | DO k =1,klev |
|---|
| 934 | rho(k) = p(k)/(rd*te(k)) |
|---|
| 935 | IF(k .eq. 1) THEN |
|---|
| 936 | rhoh(k) = ph(k)/(rd*te(k)) |
|---|
| 937 | zhh(k)=0 |
|---|
| 938 | ELSE |
|---|
| 939 | rhoh(k) = ph(k)*2./(rd*(te(k)+te(k-1))) |
|---|
| 940 | zhh(k)=(ph(k)-ph(k-1))/(-rhoh(k)*RG)+zhh(k-1) |
|---|
| 941 | ENDIF |
|---|
| 942 | the(k) = te(k)/ppi(k) |
|---|
| 943 | thu(k) = (te(k) - deltatw(k)*sigmaw)/ppi(k) |
|---|
| 944 | tu(k) = te(k) - deltatw(k)*sigmaw |
|---|
| 945 | qu(k) = qe(k) - deltaqw(k)*sigmaw |
|---|
| 946 | rhow(k) = p(k)/(rd*(te(k)+deltatw(k))) |
|---|
| 947 | dth(k) = deltatw(k)/ppi(k) |
|---|
| 948 | |
|---|
| 949 | ENDDO |
|---|
| 950 | |
|---|
| 951 | C Integrals (and wake top level number) |
|---|
| 952 | C ----------------------------------------------------------- |
|---|
| 953 | |
|---|
| 954 | C Initialize sum_thvu to 1st level virt. pot. temp. |
|---|
| 955 | |
|---|
| 956 | z = 1. |
|---|
| 957 | dz = 1. |
|---|
| 958 | sum_thvu = thu(1)*(1.+eps*qu(1))*dz |
|---|
| 959 | sum_dth = 0. |
|---|
| 960 | |
|---|
| 961 | DO k = 1,klev |
|---|
| 962 | dz = -(max(ph(k+1),Ptop)-Ph(k))/(rho(k)*rg) |
|---|
| 963 | |
|---|
| 964 | IF (dz .LE. 0) GO TO 51 |
|---|
| 965 | z = z+dz |
|---|
| 966 | sum_thu = sum_thu + thu(k)*dz |
|---|
| 967 | sum_tu = sum_tu + tu(k)*dz |
|---|
| 968 | sum_qu = sum_qu + qu(k)*dz |
|---|
| 969 | sum_thvu = sum_thvu + thu(k)*(1.+eps*qu(k))*dz |
|---|
| 970 | sum_dth = sum_dth + dth(k)*dz |
|---|
| 971 | sum_dq = sum_dq + deltaqw(k)*dz |
|---|
| 972 | sum_rho = sum_rho + rhow(k)*dz |
|---|
| 973 | sum_dtdwn = sum_dtdwn + dtdwn(k)*dz |
|---|
| 974 | sum_dqdwn = sum_dqdwn + dqdwn(k)*dz |
|---|
| 975 | ENDDO |
|---|
| 976 | 51 CONTINUE |
|---|
| 977 | |
|---|
| 978 | hw0 = z |
|---|
| 979 | |
|---|
| 980 | C 2.1 - WAPE and mean forcing computation |
|---|
| 981 | C------------------------------------------------------------- |
|---|
| 982 | |
|---|
| 983 | C Means |
|---|
| 984 | |
|---|
| 985 | av_thu = sum_thu/hw0 |
|---|
| 986 | av_tu = sum_tu/hw0 |
|---|
| 987 | av_qu = sum_qu/hw0 |
|---|
| 988 | av_thvu = sum_thvu/hw0 |
|---|
| 989 | av_dth = sum_dth/hw0 |
|---|
| 990 | av_dq = sum_dq/hw0 |
|---|
| 991 | av_rho = sum_rho/hw0 |
|---|
| 992 | av_dtdwn = sum_dtdwn/hw0 |
|---|
| 993 | av_dqdwn = sum_dqdwn/hw0 |
|---|
| 994 | |
|---|
| 995 | wape2 = - rg*hw0*(av_dth |
|---|
| 996 | $ + eps*(av_thu*av_dq+av_dth*av_qu+av_dth*av_dq ))/av_thvu |
|---|
| 997 | |
|---|
| 998 | |
|---|
| 999 | C 2.2 Prognostic variable update |
|---|
| 1000 | C ------------------------------------------------------------ |
|---|
| 1001 | |
|---|
| 1002 | C Filter out bad wakes |
|---|
| 1003 | |
|---|
| 1004 | IF ( wape2 .LT. 0.) THEN |
|---|
| 1005 | if(prt_level.ge.10) print*,'wape2<0' |
|---|
| 1006 | wape2 = 0. |
|---|
| 1007 | hw = hwmin |
|---|
| 1008 | sigmaw = max(sigmad,sigd_con) |
|---|
| 1009 | fip = 0. |
|---|
| 1010 | DO k = 1,klev |
|---|
| 1011 | deltatw(k) = 0. |
|---|
| 1012 | deltaqw(k) = 0. |
|---|
| 1013 | dth(k) = 0. |
|---|
| 1014 | ENDDO |
|---|
| 1015 | ELSE |
|---|
| 1016 | if(prt_level.ge.10) print*,'wape2>0' |
|---|
| 1017 | Cstar2 = stark*sqrt(2.*wape2) |
|---|
| 1018 | |
|---|
| 1019 | ENDIF |
|---|
| 1020 | |
|---|
| 1021 | ktopw = ktop |
|---|
| 1022 | |
|---|
| 1023 | IF (ktopw .gt. 0) then |
|---|
| 1024 | |
|---|
| 1025 | Cjyg1 Utilisation d'un h_efficace constant ( ~ feeding layer) |
|---|
| 1026 | ccc heff = 600. |
|---|
| 1027 | C Utilisation de la hauteur hw |
|---|
| 1028 | cc heff = 0.7*hw |
|---|
| 1029 | heff = hw |
|---|
| 1030 | |
|---|
| 1031 | FIP = 0.5*rho(ktopw)*Cstar2**3*heff*2*sqrt(sigmaw*wdens*3.14) |
|---|
| 1032 | FIP = alpk * FIP |
|---|
| 1033 | Cjyg2 |
|---|
| 1034 | ELSE |
|---|
| 1035 | FIP = 0. |
|---|
| 1036 | ENDIF |
|---|
| 1037 | |
|---|
| 1038 | |
|---|
| 1039 | C Limitation de sigmaw |
|---|
| 1040 | c |
|---|
| 1041 | C sécurité : si le wake occuppe plus de 90 % de la surface de la maille, |
|---|
| 1042 | C alors il disparait en se mélangeant à la partie undisturbed |
|---|
| 1043 | |
|---|
| 1044 | IF ((sigmaw.GT.0.9).or. |
|---|
| 1045 | . ((wape.ge.wape2).and.(wape2.le.1.0))) THEN |
|---|
| 1046 | c IF (sigmaw.GT.0.9) THEN |
|---|
| 1047 | DO k = 1,klev |
|---|
| 1048 | dtls(k) = 0. |
|---|
| 1049 | dqls(k) = 0. |
|---|
| 1050 | deltatw(k) = 0. |
|---|
| 1051 | deltaqw(k) = 0. |
|---|
| 1052 | ENDDO |
|---|
| 1053 | wape = 0. |
|---|
| 1054 | hw = hwmin |
|---|
| 1055 | sigmaw = sigmad |
|---|
| 1056 | fip = 0. |
|---|
| 1057 | ENDIF |
|---|
| 1058 | |
|---|
| 1059 | RETURN |
|---|
| 1060 | END |
|---|
| 1061 | |
|---|
| 1062 | |
|---|
| 1063 | |
|---|
