1 | subroutine gradients_kcm(profil_flag,rho_v,rho_n,T,dTdp,dPvdp,dPndp) |
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2 | |
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3 | use params_h |
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4 | use gases_h |
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5 | implicit none |
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6 | |
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7 | ! inputs |
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8 | integer profil_flag ! 0 = dry, 1 = moist, 2 = isothermal |
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9 | double precision rho_v,rho_n,T |
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10 | |
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11 | ! outputs |
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12 | double precision dTdp,dPndp,dPvdp |
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13 | double precision a_v |
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14 | |
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15 | ! internal |
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16 | double precision cp_n,cp_v |
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17 | |
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18 | double precision press, rho_plus, rho_minus, dVdT, rho_c |
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19 | double precision dlnr,dlna,dpsat,dsv |
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20 | double precision s_minus,s_plus |
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21 | double precision s_v,s_c,L |
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22 | double precision psat_plus,psat_minus,Pn |
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23 | double precision nul |
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24 | |
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25 | ! functions |
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26 | double precision cp_neutral |
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27 | |
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28 | cp_n = cp_neutral(T) |
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29 | |
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30 | |
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31 | select case(profil_flag) |
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32 | case(2) ! isothermal |
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33 | |
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34 | dTdp = 0. |
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35 | a_v = rho_v/rho_n ! constant here |
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36 | dPndp = 1/(1d0+m_n/m_v*a_v) |
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37 | dPvdp = 1 - dPndp |
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38 | |
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39 | case(1) ! moist |
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40 | |
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41 | Pn = rho_n*T*rmn |
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42 | |
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43 | if(ngasmx.eq.1)then |
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44 | print*,'Cannot have moist adiabat with one gas...' |
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45 | stop |
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46 | endif |
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47 | |
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48 | if(gnom(ngasmx).eq.'H2O')then |
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49 | |
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50 | call psat_H2O(T-2d-1,psat_minus) |
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51 | call psat_H2O(T+2d-1,psat_plus) |
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52 | call psat_H2O(T,press) |
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53 | |
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54 | rho_minus = m_v*psat_minus*1d6/(Rc*(T-2d-1)) |
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55 | rho_plus = m_v*psat_plus*1d6/(Rc*(T+2d-1)) |
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56 | |
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57 | call therm(T-2d-1,rho_minus*1d-3,nul,nul,nul,nul,nul,nul,nul,& |
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58 | nul,nul,press,s_minus,nul) |
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59 | call therm(T+2d-1,rho_plus*1d-3,nul,nul,nul,nul,nul,nul,nul,& |
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60 | nul,nul,press,s_plus,nul) |
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61 | s_c = 2.06 * log(T/273.15) |
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62 | |
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63 | s_plus = s_plus * 1d3 |
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64 | s_minus = s_minus * 1d3 |
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65 | s_c = s_c * 1d3 ! convert to SI |
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66 | |
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67 | if(T.lt.280.0)then |
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68 | dpsat = press*1d6 * ( 1730.63*log(10.) / (T-39.714)**2 ) |
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69 | else |
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70 | call tdpsdt(T,dpsat) |
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71 | dpsat = dpsat * 1d6 / T |
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72 | endif |
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73 | |
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74 | elseif(gnom(ngasmx).eq.'NH3')then |
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75 | |
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76 | call psat_NH3(T-2d-1,psat_minus) |
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77 | call psat_NH3(T+2d-1,psat_plus) |
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78 | call psat_NH3(T,press) |
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79 | |
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80 | rho_minus = m_v*psat_minus*1d6/(Rc*(T-2d-1)) |
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81 | rho_plus = m_v*psat_plus*1d6/(Rc*(T+2d-1)) |
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82 | |
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83 | call latheat_NH3(T-2d-1,nul,s_minus) |
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84 | call latheat_NH3(T+2d-1,nul,s_plus) |
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85 | call latheat_NH3(T,s_c,nul) |
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86 | |
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87 | dpsat = press*1d6 * (-2*1.5609d-4*T + 0.1236) |
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88 | |
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89 | endif |
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90 | |
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91 | dsv = (s_plus-s_minus)/4d-1 ! dsv*T = ds / d ln[T] |
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92 | s_v = (s_plus+s_minus)/2d0 |
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93 | dlnr = T/rho_v * (rho_plus-rho_minus)/4d-1 ! d ln[rho_v] / d ln[T] |
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94 | |
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95 | if(rho_n/rho_v.lt.1e-5)then |
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96 | dlna = -T*dsv/(s_v-s_c) |
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97 | else |
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98 | a_v = rho_v/rho_n |
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99 | dlna = (rmn*dlnr - cp_n + rmn - a_v*T*dsv)/(a_v*(s_v-s_c)+rmn) |
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100 | ! d ln[alpha_v] / d ln[T] |
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101 | ! note cp_n + rmn = cv_n, which is what's required |
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102 | endif |
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103 | |
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104 | dTdp = 1d0 / (dpsat + rho_n*rmn*(1d0 + dlnr - dlna)) ! c.f. Marcq S2.2.2 |
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105 | dPvdp = dTdp * dpsat |
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106 | dPndp = 1d0 - dPvdp ! from p = p_v + p_n |
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107 | |
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108 | case(0) ! dry |
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109 | |
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110 | cp_v=0.0 |
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111 | if(gnom(ngasmx).eq.'H2O')then |
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112 | cp_v = (32.24+1.923d-3*T+1.055d-5*T**2-3.511d-9*T**3)/m_v |
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113 | elseif(gnom(ngasmx).eq.'NH3')then |
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114 | cp_v = 2.058d3 |
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115 | elseif(gnom(ngasmx).eq.'CH4')then |
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116 | cp_v = 2.226d3 |
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117 | endif |
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118 | |
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119 | dTdp = 1/(rho_n*cp_n+rho_v*cp_v) |
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120 | dPndp = 1/(1d0+m_n/m_v*rho_v/rho_n) |
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121 | dPvdp = 1/(1d0+m_v/m_n*rho_n/rho_v) |
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122 | |
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123 | end select |
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124 | |
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125 | |
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126 | end subroutine gradients_kcm |
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