1 | MODULE omega_mod |
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2 | |
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3 | USE icosa |
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4 | PRIVATE |
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5 | |
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6 | PUBLIC :: w_omega, compute_omega |
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7 | |
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8 | CONTAINS |
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9 | |
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10 | SUBROUTINE w_omega(f_ps, f_u, f_omega) ! Compute omega = Dp/Dt |
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11 | TYPE(t_field),POINTER :: f_ps(:), f_u(:), f_omega(:) |
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12 | INTEGER :: ind |
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13 | REAL(rstd),POINTER :: ps(:), u(:,:), om(:,:) |
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14 | DO ind=1,ndomain |
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15 | IF (.NOT. assigned_domain(ind)) CYCLE |
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16 | CALL swap_dimensions(ind) |
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17 | CALL swap_geometry(ind) |
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18 | ps=f_ps(ind) |
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19 | u=f_u(ind) |
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20 | om=f_omega(ind) |
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21 | CALL compute_omega(ps,u,om) |
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22 | END DO |
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23 | END SUBROUTINE W_omega |
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24 | |
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25 | |
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26 | |
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27 | SUBROUTINE compute_omega(ps,u, w) |
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28 | USE disvert_mod, ONLY : ap,bp |
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29 | USE omp_para |
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30 | IMPLICIT NONE |
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31 | REAL(rstd),INTENT(IN) :: u(iim*3*jjm,llm), ps(iim*jjm) |
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32 | REAL(rstd),INTENT(OUT):: w(iim*jjm,llm) |
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33 | REAL(rstd):: convm(iim*jjm,llm+1) |
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34 | REAL(rstd):: p(iim*jjm,llm+1), rhodz(iim*jjm,llm), Fe(iim*3*jjm,llm) |
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35 | REAL(rstd):: ugradps |
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36 | |
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37 | INTEGER :: i,j,l,ij |
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38 | |
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39 | !$OMP BARRIER |
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40 | IF (is_omp_level_master) THEN |
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41 | DO l = 1, llm+1 |
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42 | DO j=jj_begin-1,jj_end+1 |
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43 | DO i=ii_begin-1,ii_end+1 |
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44 | ij=(j-1)*iim+i |
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45 | p(ij,l) = ap(l) + bp(l) * ps(ij) |
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46 | ENDDO |
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47 | ENDDO |
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48 | ENDDO |
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49 | |
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50 | !!! Compute mass |
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51 | DO l = 1, llm |
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52 | DO j=jj_begin-1,jj_end+1 |
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53 | DO i=ii_begin-1,ii_end+1 |
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54 | ij=(j-1)*iim+i |
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55 | rhodz(ij,l) = ( p(ij,l) - p(ij,l+1) ) / g |
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56 | ENDDO |
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57 | ENDDO |
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58 | ENDDO |
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59 | |
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60 | !!! Compute mass flux |
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61 | DO l = 1, llm |
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62 | DO j=jj_begin-1,jj_end+1 |
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63 | DO i=ii_begin-1,ii_end+1 |
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64 | ij=(j-1)*iim+i |
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65 | Fe(ij+u_right,l)=0.5*(rhodz(ij,l)+rhodz(ij+t_right,l))*u(ij+u_right,l)*le(ij+u_right) |
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66 | Fe(ij+u_lup,l)=0.5*(rhodz(ij,l)+rhodz(ij+t_lup,l))*u(ij+u_lup,l)*le(ij+u_lup) |
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67 | Fe(ij+u_ldown,l)=0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))*u(ij+u_ldown,l)*le(ij+u_ldown) |
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68 | ENDDO |
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69 | ENDDO |
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70 | ENDDO |
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71 | |
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72 | !!! mass flux convergence computation |
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73 | |
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74 | ! horizontal convergence |
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75 | DO l = 1, llm |
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76 | DO j=jj_begin,jj_end |
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77 | DO i=ii_begin,ii_end |
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78 | ij=(j-1)*iim+i |
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79 | ! convm = +div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
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80 | convm(ij,l)= 1./Ai(ij)*(ne(ij,right)*Fe(ij+u_right,l) + & |
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81 | ne(ij,rup)*Fe(ij+u_rup,l) + & |
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82 | ne(ij,lup)*Fe(ij+u_lup,l) + & |
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83 | ne(ij,left)*Fe(ij+u_left,l) + & |
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84 | ne(ij,ldown)*Fe(ij+u_ldown,l) + & |
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85 | ne(ij,rdown)*Fe(ij+u_rdown,l)) |
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86 | ENDDO |
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87 | ENDDO |
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88 | ENDDO |
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89 | |
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90 | ! vertical integration from up to down |
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91 | DO l = llm-1, 1, -1 |
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92 | DO j=jj_begin,jj_end |
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93 | DO i=ii_begin,ii_end |
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94 | ij=(j-1)*iim+i |
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95 | convm(ij,l) = convm(ij,l) + convm(ij,l+1) |
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96 | ENDDO |
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97 | ENDDO |
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98 | ENDDO |
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99 | convm(:,llm+1)=0. |
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100 | |
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101 | !!! Compute dps |
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102 | ! DO j=jj_begin,jj_end |
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103 | ! DO i=ii_begin,ii_end |
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104 | ! ij=(j-1)*iim+i |
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105 | ! ! dps/dt = -int(div flux)dz |
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106 | ! dps(ij)=-convm(ij,1) * g |
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107 | ! convm(ij,llm+1)=0. |
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108 | ! ENDDO |
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109 | ! ENDDO |
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110 | |
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111 | ! Compute Omega = Dp/Dt |
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112 | ! with p = A(eta)+B(eta)ps |
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113 | ! Dp/Dt = dp/deta.Deta/Dt + B(eta)Dps/Dt |
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114 | ! = -mg.Deta/Dt + B.Dps/Dt |
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115 | ! By definition the mass flux through model levels is W=m.Deta/Dt with m=-1/g dp/deta |
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116 | ! therefore |
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117 | ! Dp/Dt = -g.W + B.dps/dt + Bu.grad ps |
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118 | ! = B.u.grad ps - g*convm |
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119 | |
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120 | !!! Compute vertical flux through model layers |
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121 | ! DO l = 1,llm-1 |
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122 | ! DO j=jj_begin,jj_end |
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123 | ! DO i=ii_begin,ii_end |
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124 | ! ij=(j-1)*iim+i |
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125 | ! ! w = int(z,ztop,div(flux)dz) + B(eta)dps/dt |
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126 | ! ! => w>0 for upward transport |
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127 | ! w( ij, l+1 ) = convm( ij, l+1 ) - bp(l+1) * convm( ij, 1 ) ! g.W = g.convm + B dps/dt |
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128 | ! ENDDO |
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129 | ! ENDDO |
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130 | ! ENDDO |
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131 | |
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132 | |
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133 | !!! Compute omega |
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134 | ! -grad ps : ( ne(ij,ldown)*ps(ij,l) + ne(ij+t_ldown,rup)*ps(ij+t_ldown,l) ) ) / de(ij+u_ldown) |
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135 | |
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136 | DO l = 1,llm |
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137 | DO j=jj_begin,jj_end |
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138 | DO i=ii_begin,ii_end |
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139 | ij=(j-1)*iim+i |
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140 | ugradps = & |
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141 | le(ij+u_right)*u(ij+u_right,l)*( ne(ij,right)*ps(ij) + ne(ij+t_right,left)*ps(ij+t_right) ) & |
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142 | + le(ij+u_rup)*u(ij+u_rup,l)*( ne(ij,rup)*ps(ij) + ne(ij+t_rup,ldown)*ps(ij+t_rup) ) & |
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143 | + le(ij+u_lup)*u(ij+u_lup,l)*( ne(ij,lup)*ps(ij) + ne(ij+t_lup,rdown)*ps(ij+t_lup) ) & |
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144 | + le(ij+u_left)*u(ij+u_left,l)*( ne(ij,left)*ps(ij) + ne(ij+t_left,right)*ps(ij+t_left) ) & |
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145 | + le(ij+u_ldown)*u(ij+u_ldown,l)*( ne(ij,ldown)*ps(ij) + ne(ij+t_ldown,rup)*ps(ij+t_ldown) ) & |
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146 | + le(ij+u_rdown)*u(ij+u_rdown,l)*( ne(ij,rdown)*ps(ij) + ne(ij+t_rdown,lup)*ps(ij+t_rdown) ) |
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147 | ugradps = .5*(bp(l)+bp(l+1)) *ugradps/(-4*Ai(ij)) ! sign convention as in Ringler et al. 2010, Eq. 22 p.3072 |
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148 | w( ij, l) = ugradps - g*.5*(convm( ij,l+1)+convm(ij,l)) |
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149 | ENDDO |
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150 | ENDDO |
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151 | ENDDO |
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152 | ENDIF |
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153 | !$OMP BARRIER |
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154 | |
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155 | END SUBROUTINE compute_omega |
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156 | |
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157 | END MODULE omega_mod |
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