| 1 | !WRF:MODEL_LAYER:DYNAMICS |
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| 2 | ! |
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| 3 | |
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| 4 | ! SMALL_STEP code for the geometric height coordinate model |
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| 5 | ! |
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| 6 | !--------------------------------------------------------------------------- |
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| 7 | |
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| 8 | MODULE module_small_step_em |
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| 9 | |
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| 10 | USE module_configure |
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| 11 | USE module_model_constants |
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| 12 | |
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| 13 | CONTAINS |
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| 14 | |
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| 15 | !---------------------------------------------------------------------- |
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| 16 | |
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| 17 | SUBROUTINE small_step_prep( u_1, u_2, v_1, v_2, w_1, w_2, & |
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| 18 | t_1, t_2, ph_1, ph_2, & |
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| 19 | mub, mu_1, mu_2, & |
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| 20 | muu, muus, muv, muvs, & |
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| 21 | mut, muts, mudf, & |
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| 22 | u_save, v_save, w_save, & |
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| 23 | t_save, ph_save, mu_save, & |
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| 24 | ww, ww_save, & |
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| 25 | dnw, c2a, pb, p, alt, & |
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| 26 | msfu, msfv, msft, & |
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| 27 | rk_step, & |
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| 28 | ids,ide, jds,jde, kds,kde, & |
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| 29 | ims,ime, jms,jme, kms,kme, & |
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| 30 | its,ite, jts,jte, kts,kte ) |
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| 31 | |
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| 32 | IMPLICIT NONE ! religion first |
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| 33 | |
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| 34 | ! declarations for the stuff coming in |
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| 35 | |
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| 36 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde |
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| 37 | INTEGER, INTENT(IN ) :: ims,ime, jms,jme, kms,kme |
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| 38 | INTEGER, INTENT(IN ) :: its,ite, jts,jte, kts,kte |
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| 39 | |
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| 40 | INTEGER, INTENT(IN ) :: rk_step |
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| 41 | |
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| 42 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(INOUT) :: u_1, & |
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| 43 | v_1, & |
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| 44 | w_1, & |
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| 45 | t_1, & |
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| 46 | ph_1 |
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| 47 | |
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| 48 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme),INTENT( OUT) :: u_save, & |
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| 49 | v_save, & |
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| 50 | w_save, & |
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| 51 | t_save, & |
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| 52 | ph_save |
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| 53 | |
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| 54 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(INOUT) :: u_2, & |
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| 55 | v_2, & |
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| 56 | w_2, & |
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| 57 | t_2, & |
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| 58 | ph_2 |
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| 59 | |
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| 60 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT( OUT) :: c2a, & |
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| 61 | ww_save |
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| 62 | |
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| 63 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(IN ) :: pb, & |
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| 64 | p, & |
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| 65 | alt, & |
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| 66 | ww |
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| 67 | |
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| 68 | ! pjj/cray |
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| 69 | ! REAL, DIMENSION(ims:ime, jms:jme) , INTENT(INOUT) :: mu_1 |
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| 70 | REAL, DIMENSION(ims:ime, jms:jme) , INTENT(INOUT) :: mu_1,mu_2 |
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| 71 | |
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| 72 | REAL, DIMENSION(ims:ime, jms:jme) , INTENT(INout) :: mub, & |
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| 73 | muu, & |
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| 74 | muv, & |
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| 75 | mut, & |
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| 76 | msfu, & |
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| 77 | msfv, & |
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| 78 | msft |
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| 79 | |
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| 80 | REAL, DIMENSION(ims:ime, jms:jme) , INTENT( OUT) :: muus, & |
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| 81 | muvs, & |
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| 82 | muts, & |
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| 83 | !pjj/cray |
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| 84 | ! mu_2, & |
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| 85 | mudf |
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| 86 | |
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| 87 | REAL, DIMENSION(ims:ime, jms:jme) , INTENT( OUT) :: mu_save |
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| 88 | |
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| 89 | REAL, DIMENSION(kms:kme, jms:jme) , INTENT(IN ) :: dnw |
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| 90 | |
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| 91 | ! local variables |
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| 92 | |
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| 93 | INTEGER :: i, j, k |
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| 94 | INTEGER :: i_start, i_end, j_start, j_end, k_start, k_end |
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| 95 | INTEGER :: i_endu, j_endv |
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| 96 | |
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| 97 | |
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| 98 | !<DESCRIPTION> |
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| 99 | ! |
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| 100 | ! small_step_prep prepares the prognostic variables for the small timestep. |
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| 101 | ! This includes switching time-levels in the arrays and computing coupled |
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| 102 | ! perturbation variables for the small timestep |
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| 103 | ! (i.e. mu*u" = mu(t)*u(t)-mu(*)*u(*); mu*u" is advanced during the small |
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| 104 | ! timesteps |
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| 105 | ! |
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| 106 | !</DESCRIPTION> |
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| 107 | |
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| 108 | i_start = its |
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| 109 | i_end = ite |
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| 110 | j_start = jts |
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| 111 | j_end = jte |
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| 112 | k_start = kts |
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| 113 | k_end = min(kte,kde-1) |
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| 114 | |
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| 115 | i_endu = i_end |
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| 116 | j_endv = j_end |
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| 117 | |
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| 118 | IF(i_end == ide) i_end = i_end - 1 |
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| 119 | IF(j_end == jde) j_end = j_end - 1 |
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| 120 | |
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| 121 | ! if this is the first RK step, reset *_1 to *_2 |
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| 122 | ! (we are replacing the t-dt fields with the time t fields) |
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| 123 | |
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| 124 | IF ((rk_step == 1) ) THEN |
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| 125 | |
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| 126 | ! 1 jun 2001 -> added boundary copy to 2D boundary condition routines, |
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| 127 | ! should be OK now without the following data copy |
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| 128 | !#if 0 |
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| 129 | ! DO j=j_start, j_end |
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| 130 | ! mu_2(0,j)=mu_2(1,j) |
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| 131 | ! mu_2(i_endu,j)=mu_2(i_end,j) |
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| 132 | ! mu_1(0,j)=mu_2(1,j) |
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| 133 | ! mu_1(i_endu,j)=mu_2(i_end,j) |
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| 134 | ! mub(0,j)=mub(1,j) |
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| 135 | ! mub(i_endu,j)=mub(i_end,j) |
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| 136 | ! ENDDO |
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| 137 | ! DO i=i_start, i_end |
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| 138 | ! mu_2(i,0)=mu_2(i,1) |
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| 139 | ! mu_2(i,j_endv)=mu_2(i,j_end) |
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| 140 | ! mu_1(i,0)=mu_2(i,1) |
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| 141 | ! mu_1(i,j_endv)=mu_2(i,j_end) |
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| 142 | ! mub(i,0)=mub(i,1) |
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| 143 | ! mub(i,j_endv)=mub(i,j_end) |
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| 144 | ! ENDDO |
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| 145 | !#endif |
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| 146 | |
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| 147 | DO j=j_start, j_end |
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| 148 | DO i=i_start, i_end |
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| 149 | mu_1(i,j)=mu_2(i,j) |
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| 150 | ww_save(i,kde,j) = 0. |
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| 151 | ww_save(i,1,j) = 0. |
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| 152 | mudf(i,j) = 0. ! initialize external mode div damp to zero |
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| 153 | ENDDO |
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| 154 | ENDDO |
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| 155 | |
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| 156 | DO j=j_start, j_end |
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| 157 | DO k=k_start, k_end |
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| 158 | DO i=i_start, i_endu |
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| 159 | u_1(i,k,j) = u_2(i,k,j) |
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| 160 | ENDDO |
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| 161 | ENDDO |
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| 162 | ENDDO |
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| 163 | |
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| 164 | DO j=j_start, j_endv |
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| 165 | DO k=k_start, k_end |
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| 166 | DO i=i_start, i_end |
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| 167 | v_1(i,k,j) = v_2(i,k,j) |
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| 168 | ENDDO |
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| 169 | ENDDO |
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| 170 | ENDDO |
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| 171 | |
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| 172 | DO j=j_start, j_end |
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| 173 | DO k=k_start, k_end |
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| 174 | DO i=i_start, i_end |
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| 175 | t_1(i,k,j) = t_2(i,k,j) |
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| 176 | ENDDO |
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| 177 | ENDDO |
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| 178 | ENDDO |
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| 179 | |
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| 180 | DO j=j_start, j_end |
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| 181 | DO k=k_start, min(kde,kte) |
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| 182 | DO i=i_start, i_end |
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| 183 | w_1(i,k,j) = w_2(i,k,j) |
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| 184 | ph_1(i,k,j) = ph_2(i,k,j) |
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| 185 | ENDDO |
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| 186 | ENDDO |
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| 187 | ENDDO |
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| 188 | |
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| 189 | DO j=j_start, j_end |
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| 190 | DO i=i_start, i_end |
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| 191 | muts(i,j)=mub(i,j)+mu_2(i,j) |
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| 192 | ENDDO |
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| 193 | DO i=i_start, i_endu |
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| 194 | ! rk_step==1, WCS fix for tiling |
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| 195 | ! muus(i,j)=0.5*(mub(i,j)+mu_2(i,j)+mub(i-1,j)+mu_2(i-1,j)) |
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| 196 | muus(i,j) = muu(i,j) |
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| 197 | ENDDO |
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| 198 | ENDDO |
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| 199 | |
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| 200 | DO j=j_start, j_endv |
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| 201 | DO i=i_start, i_end |
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| 202 | ! rk_step==1, WCS fix for tiling |
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| 203 | ! muvs(i,j)=0.5*(mub(i,j)+mu_2(i,j)+mub(i,j-1)+mu_2(i,j-1)) |
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| 204 | muvs(i,j) = muv(i,j) |
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| 205 | ENDDO |
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| 206 | ENDDO |
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| 207 | |
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| 208 | DO j=j_start, j_end |
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| 209 | DO i=i_start, i_end |
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| 210 | mu_save(i,j)=mu_2(i,j) |
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| 211 | mu_2(i,j)=mu_2(i,j)-mu_2(i,j) |
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| 212 | ENDDO |
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| 213 | ENDDO |
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| 214 | |
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| 215 | ELSE |
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| 216 | |
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| 217 | DO j=j_start, j_end |
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| 218 | DO i=i_start, i_end |
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| 219 | muts(i,j)=mub(i,j)+mu_1(i,j) |
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| 220 | ENDDO |
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| 221 | DO i=i_start, i_endu |
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| 222 | muus(i,j)=0.5*(mub(i,j)+mu_1(i,j)+mub(i-1,j)+mu_1(i-1,j)) |
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| 223 | ENDDO |
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| 224 | ENDDO |
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| 225 | |
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| 226 | DO j=j_start, j_endv |
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| 227 | DO i=i_start, i_end |
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| 228 | muvs(i,j)=0.5*(mub(i,j)+mu_1(i,j)+mub(i,j-1)+mu_1(i,j-1)) |
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| 229 | ENDDO |
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| 230 | ENDDO |
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| 231 | |
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| 232 | DO j=j_start, j_end |
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| 233 | DO i=i_start, i_end |
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| 234 | mu_save(i,j)=mu_2(i,j) |
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| 235 | mu_2(i,j)=mu_1(i,j)-mu_2(i,j) |
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| 236 | ENDDO |
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| 237 | ENDDO |
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| 238 | |
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| 239 | |
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| 240 | END IF |
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| 241 | |
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| 242 | ! set up the small timestep variables |
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| 243 | |
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| 244 | DO j=j_start, j_end |
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| 245 | DO i=i_start, i_end |
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| 246 | ww_save(i,kde,j) = 0. |
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| 247 | ww_save(i,1,j) = 0. |
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| 248 | ENDDO |
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| 249 | ENDDO |
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| 250 | |
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| 251 | DO j=j_start, j_end |
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| 252 | DO k=k_start, k_end |
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| 253 | DO i=i_start, i_end |
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| 254 | c2a(i,k,j) = cpovcv*(pb(i,k,j)+p(i,k,j))/alt(i,k,j) |
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| 255 | ENDDO |
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| 256 | ENDDO |
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| 257 | ENDDO |
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| 258 | |
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| 259 | DO j=j_start, j_end |
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| 260 | DO k=k_start, k_end |
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| 261 | DO i=i_start, i_endu |
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| 262 | u_save(i,k,j) = u_2(i,k,j) |
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| 263 | u_2(i,k,j) = (muus(i,j)*u_1(i,k,j)-muu(i,j)*u_2(i,k,j))/msfu(i,j) |
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| 264 | ENDDO |
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| 265 | ENDDO |
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| 266 | ENDDO |
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| 267 | |
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| 268 | DO j=j_start, j_endv |
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| 269 | DO k=k_start, k_end |
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| 270 | DO i=i_start, i_end |
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| 271 | v_save(i,k,j) = v_2(i,k,j) |
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| 272 | v_2(i,k,j) = (muvs(i,j)*v_1(i,k,j)-muv(i,j)*v_2(i,k,j))/msfv(i,j) |
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| 273 | ENDDO |
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| 274 | ENDDO |
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| 275 | ENDDO |
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| 276 | |
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| 277 | DO j=j_start, j_end |
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| 278 | DO k=k_start, k_end |
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| 279 | DO i=i_start, i_end |
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| 280 | t_save(i,k,j) = t_2(i,k,j) |
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| 281 | t_2(i,k,j) = muts(i,j)*t_1(i,k,j)-mut(i,j)*t_2(i,k,j) |
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| 282 | ENDDO |
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| 283 | ENDDO |
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| 284 | ENDDO |
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| 285 | |
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| 286 | DO j=j_start, j_end |
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| 287 | ! DO k=k_start, min(kde,kte) |
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| 288 | DO k=k_start, kde |
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| 289 | DO i=i_start, i_end |
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| 290 | w_save(i,k,j) = w_2(i,k,j) |
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| 291 | w_2(i,k,j) = (muts(i,j)* w_1(i,k,j)-mut(i,j)* w_2(i,k,j))/msft(i,j) |
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| 292 | ph_save(i,k,j) = ph_2(i,k,j) |
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| 293 | ph_2(i,k,j) = ph_1(i,k,j)-ph_2(i,k,j) |
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| 294 | ENDDO |
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| 295 | ENDDO |
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| 296 | ENDDO |
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| 297 | |
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| 298 | DO j=j_start, j_end |
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| 299 | ! DO k=k_start, min(kde,kte) |
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| 300 | DO k=k_start, kde |
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| 301 | DO i=i_start, i_end |
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| 302 | ww_save(i,k,j) = ww(i,k,j) |
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| 303 | ENDDO |
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| 304 | ENDDO |
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| 305 | ENDDO |
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| 306 | |
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| 307 | END SUBROUTINE small_step_prep |
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| 308 | |
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| 309 | !------------------------------------------------------------------------- |
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| 310 | |
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| 311 | |
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| 312 | SUBROUTINE small_step_finish( u_2, u_1, v_2, v_1, w_2, w_1, & |
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| 313 | t_2, t_1, ph_2, ph_1, ww, ww1, & |
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| 314 | mu_2, mu_1, & |
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| 315 | mut, muts, muu, muus, muv, muvs, & |
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| 316 | u_save, v_save, w_save, & |
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| 317 | t_save, ph_save, mu_save, & |
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| 318 | msfu, msfv, msft, & |
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| 319 | h_diabatic, & |
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| 320 | number_of_small_timesteps,dts, & |
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| 321 | rk_step, rk_order, & |
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| 322 | ids,ide, jds,jde, kds,kde, & |
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| 323 | ims,ime, jms,jme, kms,kme, & |
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| 324 | its,ite, jts,jte, kts,kte ) |
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| 325 | |
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| 326 | |
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| 327 | IMPLICIT NONE ! religion first |
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| 328 | |
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| 329 | ! stuff passed in |
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| 330 | |
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| 331 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde |
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| 332 | INTEGER, INTENT(IN ) :: ims,ime, jms,jme, kms,kme |
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| 333 | INTEGER, INTENT(IN ) :: its,ite, jts,jte, kts,kte |
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| 334 | INTEGER, INTENT(IN ) :: number_of_small_timesteps |
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| 335 | INTEGER, INTENT(IN ) :: rk_step, rk_order |
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| 336 | REAL, INTENT(IN ) :: dts |
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| 337 | |
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| 338 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(IN ) :: u_1, & |
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| 339 | v_1, & |
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| 340 | w_1, & |
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| 341 | t_1, & |
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| 342 | ww1, & |
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| 343 | ph_1 |
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| 344 | |
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| 345 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(INOUT) :: u_2, & |
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| 346 | v_2, & |
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| 347 | w_2, & |
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| 348 | t_2, & |
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| 349 | ww, & |
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| 350 | ph_2 |
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| 351 | |
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| 352 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(IN ) :: u_save, & |
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| 353 | v_save, & |
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| 354 | w_save, & |
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| 355 | t_save, & |
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| 356 | ph_save, & |
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| 357 | h_diabatic |
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| 358 | |
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| 359 | REAL, DIMENSION(ims:ime, jms:jme), INTENT(INOUT) :: muus, muvs |
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| 360 | REAL, DIMENSION(ims:ime, jms:jme), INTENT(INOUT) :: mu_2, mu_1 |
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| 361 | REAL, DIMENSION(ims:ime, jms:jme), INTENT(INOUT) :: mut, muts, & |
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| 362 | muu, muv, mu_save |
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| 363 | REAL, DIMENSION(ims:ime, jms:jme), INTENT(IN ) :: msfu, msfv, msft |
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| 364 | |
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| 365 | |
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| 366 | ! local stuff |
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| 367 | |
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| 368 | INTEGER :: i,j,k |
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| 369 | INTEGER :: i_start, i_end, j_start, j_end, i_endu, j_endv |
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| 370 | |
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| 371 | !<DESCRIPTION> |
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| 372 | ! |
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| 373 | ! small_step_finish reconstructs the full uncoupled prognostic variables |
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| 374 | ! from the coupled perturbation variables used in the small timesteps. |
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| 375 | ! |
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| 376 | !</DESCRIPTION> |
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| 377 | |
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| 378 | i_start = its |
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| 379 | i_end = ite |
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| 380 | j_start = jts |
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| 381 | j_end = jte |
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| 382 | |
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| 383 | i_endu = i_end |
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| 384 | j_endv = j_end |
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| 385 | |
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| 386 | IF(i_end == ide) i_end = i_end - 1 |
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| 387 | IF(j_end == jde) j_end = j_end - 1 |
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| 388 | |
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| 389 | |
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| 390 | ! 1 jun 2001 -> added boundary copy to 2D boundary condition routines, |
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| 391 | ! should be OK now without the following data copy |
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| 392 | |
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| 393 | !#if 0 |
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| 394 | ! DO j=j_start, j_end |
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| 395 | ! muts(0,j)=muts(1,j) |
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| 396 | ! muts(i_endu,j)=muts(i_end,j) |
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| 397 | ! ENDDO |
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| 398 | ! DO i=i_start, i_end |
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| 399 | ! muts(i,0)=muts(i,1) |
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| 400 | ! muts(i,j_endv)=muts(i,j_end) |
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| 401 | ! ENDDO |
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| 402 | |
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| 403 | ! DO j = j_start, j_endv |
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| 404 | ! DO i = i_start, i_end |
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| 405 | ! muvs(i,j) = 0.5*(muts(i,j) + muts(i,j-1)) |
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| 406 | ! ENDDO |
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| 407 | ! ENDDO |
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| 408 | |
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| 409 | ! DO j = j_start, j_end |
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| 410 | ! DO i = i_start, i_endu |
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| 411 | ! muus(i,j) = 0.5*(muts(i,j) + muts(i-1,j)) |
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| 412 | ! ENDDO |
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| 413 | ! ENDDO |
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| 414 | !#endif |
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| 415 | |
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| 416 | ! addition of time level t back into variables |
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| 417 | |
|---|
| 418 | DO j = j_start, j_endv |
|---|
| 419 | DO k = kds, kde-1 |
|---|
| 420 | DO i = i_start, i_end |
|---|
| 421 | v_2(i,k,j) = (msfv(i,j)*v_2(i,k,j) + v_save(i,k,j)*muv(i,j))/muvs(i,j) |
|---|
| 422 | ENDDO |
|---|
| 423 | ENDDO |
|---|
| 424 | ENDDO |
|---|
| 425 | |
|---|
| 426 | DO j = j_start, j_end |
|---|
| 427 | DO k = kds, kde-1 |
|---|
| 428 | DO i = i_start, i_endu |
|---|
| 429 | u_2(i,k,j) = (msfu(i,j)*u_2(i,k,j) + u_save(i,k,j)*muu(i,j))/muus(i,j) |
|---|
| 430 | ENDDO |
|---|
| 431 | ENDDO |
|---|
| 432 | ENDDO |
|---|
| 433 | |
|---|
| 434 | DO j = j_start, j_end |
|---|
| 435 | DO k = kds, kde |
|---|
| 436 | DO i = i_start, i_end |
|---|
| 437 | w_2(i,k,j) = (msft(i,j)*w_2(i,k,j) + w_save(i,k,j)*mut(i,j))/muts(i,j) |
|---|
| 438 | ph_2(i,k,j) = ph_2(i,k,j) + ph_save(i,k,j) |
|---|
| 439 | ww(i,k,j) = ww(i,k,j) + ww1(i,k,j) |
|---|
| 440 | ENDDO |
|---|
| 441 | ENDDO |
|---|
| 442 | ENDDO |
|---|
| 443 | |
|---|
| 444 | #ifdef REVERT |
|---|
| 445 | DO j = j_start, j_end |
|---|
| 446 | DO k = kds, kde-1 |
|---|
| 447 | DO i = i_start, i_end |
|---|
| 448 | t_2(i,k,j) = (t_2(i,k,j) + t_save(i,k,j)*mut(i,j))/muts(i,j) |
|---|
| 449 | ENDDO |
|---|
| 450 | ENDDO |
|---|
| 451 | ENDDO |
|---|
| 452 | #else |
|---|
| 453 | IF ( rk_step < rk_order ) THEN |
|---|
| 454 | DO j = j_start, j_end |
|---|
| 455 | DO k = kds, kde-1 |
|---|
| 456 | DO i = i_start, i_end |
|---|
| 457 | t_2(i,k,j) = (t_2(i,k,j) + t_save(i,k,j)*mut(i,j))/muts(i,j) |
|---|
| 458 | ENDDO |
|---|
| 459 | ENDDO |
|---|
| 460 | ENDDO |
|---|
| 461 | ELSE |
|---|
| 462 | |
|---|
| 463 | DO j = j_start, j_end |
|---|
| 464 | DO k = kds, kde-1 |
|---|
| 465 | DO i = i_start, i_end |
|---|
| 466 | t_2(i,k,j) = (t_2(i,k,j) - dts*number_of_small_timesteps*mut(i,j)*h_diabatic(i,k,j) & |
|---|
| 467 | + t_save(i,k,j)*mut(i,j))/muts(i,j) |
|---|
| 468 | ENDDO |
|---|
| 469 | ENDDO |
|---|
| 470 | ENDDO |
|---|
| 471 | ENDIF |
|---|
| 472 | #endif |
|---|
| 473 | |
|---|
| 474 | DO j = j_start, j_end |
|---|
| 475 | DO i = i_start, i_end |
|---|
| 476 | mu_2(i,j) = mu_2(i,j) + mu_save(i,j) |
|---|
| 477 | ENDDO |
|---|
| 478 | ENDDO |
|---|
| 479 | |
|---|
| 480 | END SUBROUTINE small_step_finish |
|---|
| 481 | |
|---|
| 482 | !----------------------------------------------------------------------- |
|---|
| 483 | |
|---|
| 484 | SUBROUTINE calc_p_rho( al, p, ph, & |
|---|
| 485 | alt, t_2, t_1, c2a, pm1, & |
|---|
| 486 | mu, muts, znu, t0, & |
|---|
| 487 | rdnw, dnw, smdiv, & |
|---|
| 488 | non_hydrostatic, step, & |
|---|
| 489 | ids, ide, jds, jde, kds, kde, & |
|---|
| 490 | ims, ime, jms, jme, kms, kme, & |
|---|
| 491 | its,ite, jts,jte, kts,kte ) |
|---|
| 492 | |
|---|
| 493 | IMPLICIT NONE ! religion first |
|---|
| 494 | |
|---|
| 495 | ! declarations for the stuff coming in |
|---|
| 496 | |
|---|
| 497 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde |
|---|
| 498 | INTEGER, INTENT(IN ) :: ims,ime, jms,jme, kms,kme |
|---|
| 499 | INTEGER, INTENT(IN ) :: its,ite, jts,jte, kts,kte |
|---|
| 500 | |
|---|
| 501 | INTEGER, INTENT(IN ) :: step |
|---|
| 502 | |
|---|
| 503 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme),INTENT( OUT) :: al, & |
|---|
| 504 | p |
|---|
| 505 | ! pjj/cray |
|---|
| 506 | ! p, & |
|---|
| 507 | ! pm1 |
|---|
| 508 | |
|---|
| 509 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(IN ) :: alt, & |
|---|
| 510 | t_2, & |
|---|
| 511 | t_1, & |
|---|
| 512 | c2a |
|---|
| 513 | |
|---|
| 514 | ! pjj/cray |
|---|
| 515 | ! REAL, DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(INOUT) :: ph |
|---|
| 516 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(INOUT) :: ph, pm1 |
|---|
| 517 | |
|---|
| 518 | REAL, DIMENSION(ims:ime, jms:jme) , INTENT(IN ) :: mu, & |
|---|
| 519 | muts |
|---|
| 520 | |
|---|
| 521 | REAL, DIMENSION(kms:kme) , INTENT(IN ) :: dnw, & |
|---|
| 522 | rdnw, & |
|---|
| 523 | znu |
|---|
| 524 | |
|---|
| 525 | REAL, INTENT(IN ) :: t0, smdiv |
|---|
| 526 | |
|---|
| 527 | LOGICAL, INTENT(IN ) :: non_hydrostatic |
|---|
| 528 | |
|---|
| 529 | ! local variables |
|---|
| 530 | |
|---|
| 531 | INTEGER :: i, j, k |
|---|
| 532 | INTEGER :: i_start, i_end, j_start, j_end, k_start, k_end |
|---|
| 533 | REAL :: ptmp |
|---|
| 534 | |
|---|
| 535 | !<DESCRIPTION> |
|---|
| 536 | ! |
|---|
| 537 | ! For the nonhydrostatic option, |
|---|
| 538 | ! calc_p_rho computes the perturbation inverse density and |
|---|
| 539 | ! perturbation pressure from the hydrostatic relation and the |
|---|
| 540 | ! linearized equation of state, respectively. |
|---|
| 541 | ! |
|---|
| 542 | ! For the hydrostatic option, |
|---|
| 543 | ! calc_p_rho computes the perturbation pressure, perturbation density, |
|---|
| 544 | ! and perturbation geopotential |
|---|
| 545 | ! from the vertical coordinate definition, linearized equation of state |
|---|
| 546 | ! and the hydrostatic relation, respectively. |
|---|
| 547 | ! |
|---|
| 548 | ! forward weighting of the pressure (divergence damping) is also |
|---|
| 549 | ! computed here. |
|---|
| 550 | ! |
|---|
| 551 | !</DESCRIPTION> |
|---|
| 552 | |
|---|
| 553 | i_start = its |
|---|
| 554 | i_end = ite |
|---|
| 555 | j_start = jts |
|---|
| 556 | j_end = jte |
|---|
| 557 | k_start = kts |
|---|
| 558 | k_end = min(kte,kde-1) |
|---|
| 559 | |
|---|
| 560 | IF(i_end == ide) i_end = i_end - 1 |
|---|
| 561 | IF(j_end == jde) j_end = j_end - 1 |
|---|
| 562 | |
|---|
| 563 | IF (non_hydrostatic) THEN |
|---|
| 564 | DO j=j_start, j_end |
|---|
| 565 | DO k=k_start, k_end |
|---|
| 566 | DO i=i_start, i_end |
|---|
| 567 | |
|---|
| 568 | ! al computation is all dry, so ok with moisture |
|---|
| 569 | |
|---|
| 570 | al(i,k,j)=-1./muts(i,j)*(alt(i,k,j)*mu(i,j) & |
|---|
| 571 | +rdnw(k)*(ph(i,k+1,j)-ph(i,k,j))) |
|---|
| 572 | |
|---|
| 573 | ! this is temporally linearized p, no moisture correction needed |
|---|
| 574 | |
|---|
| 575 | p(i,k,j)=c2a(i,k,j)*(alt(i,k,j)*(t_2(i,k,j)-mu(i,j)*t_1(i,k,j)) & |
|---|
| 576 | /(muts(i,j)*(t0+t_1(i,k,j)))-al (i,k,j)) |
|---|
| 577 | |
|---|
| 578 | ENDDO |
|---|
| 579 | ENDDO |
|---|
| 580 | ENDDO |
|---|
| 581 | |
|---|
| 582 | ELSE ! hydrostatic calculation |
|---|
| 583 | |
|---|
| 584 | DO j=j_start, j_end |
|---|
| 585 | DO k=k_start, k_end |
|---|
| 586 | DO i=i_start, i_end |
|---|
| 587 | p(i,k,j)=mu(i,j)*znu(k) |
|---|
| 588 | al(i,k,j)=alt(i,k,j)*(t_2(i,k,j)-mu(i,j)*t_1(i,k,j)) & |
|---|
| 589 | /(muts(i,j)*(t0+t_1(i,k,j)))-p(i,k,j)/c2a(i,k,j) |
|---|
| 590 | ph(i,k+1,j)=ph(i,k,j)-dnw(k)*(muts(i,j)*al (i,k,j) & |
|---|
| 591 | +mu(i,j)*alt(i,k,j)) |
|---|
| 592 | ENDDO |
|---|
| 593 | ENDDO |
|---|
| 594 | ENDDO |
|---|
| 595 | |
|---|
| 596 | END IF |
|---|
| 597 | |
|---|
| 598 | ! divergence damping setup |
|---|
| 599 | |
|---|
| 600 | IF (step == 0) then ! we're initializing small timesteps |
|---|
| 601 | DO j=j_start, j_end |
|---|
| 602 | DO k=k_start, k_end |
|---|
| 603 | DO i=i_start, i_end |
|---|
| 604 | pm1(i,k,j)=p(i,k,j) |
|---|
| 605 | ENDDO |
|---|
| 606 | ENDDO |
|---|
| 607 | ENDDO |
|---|
| 608 | ELSE ! we're in the small timesteps |
|---|
| 609 | DO j=j_start, j_end ! and adding div damping component |
|---|
| 610 | DO k=k_start, k_end |
|---|
| 611 | DO i=i_start, i_end |
|---|
| 612 | ptmp = p(i,k,j) |
|---|
| 613 | p(i,k,j) = p(i,k,j) + smdiv*(p(i,k,j)-pm1(i,k,j)) |
|---|
| 614 | pm1(i,k,j) = ptmp |
|---|
| 615 | ENDDO |
|---|
| 616 | ENDDO |
|---|
| 617 | ENDDO |
|---|
| 618 | END IF |
|---|
| 619 | |
|---|
| 620 | END SUBROUTINE calc_p_rho |
|---|
| 621 | |
|---|
| 622 | !---------------------------------------------------------------------- |
|---|
| 623 | |
|---|
| 624 | SUBROUTINE calc_coef_w( a,alpha,gamma, & |
|---|
| 625 | mut, cqw, & |
|---|
| 626 | rdn, rdnw, c2a, & |
|---|
| 627 | dts, g, epssm, & |
|---|
| 628 | ids,ide, jds,jde, kds,kde, & ! domain dims |
|---|
| 629 | ims,ime, jms,jme, kms,kme, & ! memory dims |
|---|
| 630 | its,ite, jts,jte, kts,kte ) ! tile dims |
|---|
| 631 | |
|---|
| 632 | IMPLICIT NONE ! religion first |
|---|
| 633 | |
|---|
| 634 | ! passed in through the call |
|---|
| 635 | |
|---|
| 636 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde |
|---|
| 637 | INTEGER, INTENT(IN ) :: ims,ime, jms,jme, kms,kme |
|---|
| 638 | INTEGER, INTENT(IN ) :: its,ite, jts,jte, kts,kte |
|---|
| 639 | |
|---|
| 640 | |
|---|
| 641 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(IN ) :: c2a, & |
|---|
| 642 | cqw |
|---|
| 643 | |
|---|
| 644 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(INOUT) :: alpha, & |
|---|
| 645 | gamma, & |
|---|
| 646 | a |
|---|
| 647 | |
|---|
| 648 | REAL, DIMENSION(ims:ime, jms:jme), INTENT(IN ) :: mut |
|---|
| 649 | |
|---|
| 650 | REAL, DIMENSION(kms:kme), INTENT(IN ) :: rdn, & |
|---|
| 651 | rdnw |
|---|
| 652 | |
|---|
| 653 | REAL, INTENT(IN ) :: epssm, & |
|---|
| 654 | dts, & |
|---|
| 655 | g |
|---|
| 656 | |
|---|
| 657 | ! Local stack data. |
|---|
| 658 | |
|---|
| 659 | REAL, DIMENSION(ims:ime) :: cof |
|---|
| 660 | REAL :: b, c |
|---|
| 661 | |
|---|
| 662 | INTEGER :: i, j, k, i_start, i_end, j_start, j_end, k_start, k_end |
|---|
| 663 | INTEGER :: ij, ijp, ijm |
|---|
| 664 | |
|---|
| 665 | !<DESCRIPTION> |
|---|
| 666 | ! |
|---|
| 667 | ! calc_coef_w calculates the coefficients needed for the |
|---|
| 668 | ! implicit solution of the vertical momentum and geopotential equations. |
|---|
| 669 | ! This requires solution of a tri-diagonal equation. |
|---|
| 670 | ! |
|---|
| 671 | !</DESCRIPTION> |
|---|
| 672 | |
|---|
| 673 | |
|---|
| 674 | i_start = its |
|---|
| 675 | i_end = ite |
|---|
| 676 | j_start = jts |
|---|
| 677 | j_end = jte |
|---|
| 678 | k_start = kts |
|---|
| 679 | k_end = kte-1 |
|---|
| 680 | |
|---|
| 681 | IF(j_end == jde) j_end = j_end - 1 |
|---|
| 682 | IF(i_end == ide) i_end = i_end - 1 |
|---|
| 683 | |
|---|
| 684 | outer_j_loop: DO j = j_start, j_end |
|---|
| 685 | |
|---|
| 686 | DO i = i_start, i_end |
|---|
| 687 | cof(i) = (.5*dts*g*(1.+epssm)/mut(i,j))**2 |
|---|
| 688 | a(i, 2 ,j) = 0. |
|---|
| 689 | a(i,kde,j) =-2.*cof(i)*rdnw(kde-1)**2*c2a(i,kde-1,j) |
|---|
| 690 | gamma(i,1 ,j) = 0. |
|---|
| 691 | ENDDO |
|---|
| 692 | |
|---|
| 693 | DO k=3,kde-1 |
|---|
| 694 | DO i=i_start, i_end |
|---|
| 695 | a(i,k,j) = -cqw(i,k,j)*cof(i)*rdn(k)* rdnw(k-1)*c2a(i,k-1,j) |
|---|
| 696 | ENDDO |
|---|
| 697 | ENDDO |
|---|
| 698 | |
|---|
| 699 | |
|---|
| 700 | DO k=2,kde-1 |
|---|
| 701 | DO i=i_start, i_end |
|---|
| 702 | b = 1.+cqw(i,k,j)*cof(i)*rdn(k)*(rdnw(k )*c2a(i,k,j ) & |
|---|
| 703 | +rdnw(k-1)*c2a(i,k-1,j)) |
|---|
| 704 | c = -cqw(i,k,j)*cof(i)*rdn(k)*rdnw(k )*c2a(i,k,j ) |
|---|
| 705 | alpha(i,k,j) = 1./(b-a(i,k,j)*gamma(i,k-1,j)) |
|---|
| 706 | gamma(i,k,j) = c*alpha(i,k,j) |
|---|
| 707 | ENDDO |
|---|
| 708 | ENDDO |
|---|
| 709 | |
|---|
| 710 | DO i=i_start, i_end |
|---|
| 711 | b = 1.+2.*cof(i)*rdnw(kde-1)**2*c2a(i,kde-1,j) |
|---|
| 712 | c = 0. |
|---|
| 713 | alpha(i,kde,j) = 1./(b-a(i,kde,j)*gamma(i,kde-1,j)) |
|---|
| 714 | gamma(i,kde,j) = c*alpha(i,kde,j) |
|---|
| 715 | ENDDO |
|---|
| 716 | |
|---|
| 717 | ENDDO outer_j_loop |
|---|
| 718 | |
|---|
| 719 | END SUBROUTINE calc_coef_w |
|---|
| 720 | |
|---|
| 721 | !---------------------------------------------------------------------- |
|---|
| 722 | |
|---|
| 723 | SUBROUTINE advance_uv ( u, ru_tend, v, rv_tend, & |
|---|
| 724 | p, pb, & |
|---|
| 725 | ph, php, alt, al, mu, & |
|---|
| 726 | muu, cqu, muv, cqv, mudf, & |
|---|
| 727 | rdx, rdy, dts, & |
|---|
| 728 | cf1, cf2, cf3, fnm, fnp, & |
|---|
| 729 | emdiv, & |
|---|
| 730 | rdnw, config_flags, spec_zone, & |
|---|
| 731 | non_hydrostatic, & |
|---|
| 732 | ids, ide, jds, jde, kds, kde, & |
|---|
| 733 | ims, ime, jms, jme, kms, kme, & |
|---|
| 734 | its, ite, jts, jte, kts, kte ) |
|---|
| 735 | |
|---|
| 736 | |
|---|
| 737 | |
|---|
| 738 | IMPLICIT NONE ! religion first |
|---|
| 739 | |
|---|
| 740 | ! stuff coming in |
|---|
| 741 | |
|---|
| 742 | TYPE(grid_config_rec_type), INTENT(IN ) :: config_flags |
|---|
| 743 | |
|---|
| 744 | LOGICAL, INTENT(IN ) :: non_hydrostatic |
|---|
| 745 | |
|---|
| 746 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde |
|---|
| 747 | INTEGER, INTENT(IN ) :: ims,ime, jms,jme, kms,kme |
|---|
| 748 | INTEGER, INTENT(IN ) :: its,ite, jts,jte, kts,kte |
|---|
| 749 | INTEGER, INTENT(IN ) :: spec_zone |
|---|
| 750 | |
|---|
| 751 | REAL, DIMENSION( ims:ime , kms:kme, jms:jme ), & |
|---|
| 752 | INTENT(INOUT) :: & |
|---|
| 753 | u, & |
|---|
| 754 | v |
|---|
| 755 | |
|---|
| 756 | REAL, DIMENSION( ims:ime , kms:kme, jms:jme ), & |
|---|
| 757 | INTENT(IN ) :: & |
|---|
| 758 | ru_tend, & |
|---|
| 759 | rv_tend, & |
|---|
| 760 | ph, & |
|---|
| 761 | php, & |
|---|
| 762 | p, & |
|---|
| 763 | pb, & |
|---|
| 764 | alt, & |
|---|
| 765 | al, & |
|---|
| 766 | cqu, & |
|---|
| 767 | cqv |
|---|
| 768 | |
|---|
| 769 | |
|---|
| 770 | REAL, DIMENSION( ims:ime , jms:jme ), INTENT(IN ) :: muu, & |
|---|
| 771 | muv, & |
|---|
| 772 | mu, & |
|---|
| 773 | mudf |
|---|
| 774 | |
|---|
| 775 | |
|---|
| 776 | REAL, DIMENSION( kms:kme ), INTENT(IN ) :: fnm, & |
|---|
| 777 | fnp , & |
|---|
| 778 | rdnw |
|---|
| 779 | |
|---|
| 780 | REAL, INTENT(IN ) :: rdx, & |
|---|
| 781 | rdy, & |
|---|
| 782 | dts, & |
|---|
| 783 | cf1, & |
|---|
| 784 | cf2, & |
|---|
| 785 | cf3, & |
|---|
| 786 | emdiv |
|---|
| 787 | |
|---|
| 788 | |
|---|
| 789 | ! Local 3d array from the stack (note tile size) |
|---|
| 790 | |
|---|
| 791 | REAL, DIMENSION (its:ite, kts:kte) :: dpn, dpxy |
|---|
| 792 | REAL, DIMENSION (its:ite) :: mudf_xy |
|---|
| 793 | REAL :: dx, dy |
|---|
| 794 | |
|---|
| 795 | INTEGER :: i,j,k, i_start, i_end, j_start, j_end, k_start, k_end |
|---|
| 796 | INTEGER :: i_endu, j_endv, k_endw |
|---|
| 797 | INTEGER :: i_start_up, i_end_up, j_start_up, j_end_up |
|---|
| 798 | INTEGER :: i_start_vp, i_end_vp, j_start_vp, j_end_vp |
|---|
| 799 | |
|---|
| 800 | INTEGER :: i_start_u_tend, i_end_u_tend, j_start_v_tend, j_end_v_tend |
|---|
| 801 | |
|---|
| 802 | !<DESCRIPTION> |
|---|
| 803 | ! |
|---|
| 804 | ! advance_uv advances the explicit perturbation horizontal momentum |
|---|
| 805 | ! equations (u,v) by adding in the large-timestep tendency along with |
|---|
| 806 | ! the small timestep pressure gradient tendency. |
|---|
| 807 | ! |
|---|
| 808 | !</DESCRIPTION> |
|---|
| 809 | |
|---|
| 810 | ! now, the real work. |
|---|
| 811 | ! set the loop bounds taking into account boundary conditions. |
|---|
| 812 | |
|---|
| 813 | IF( config_flags%nested .or. config_flags%specified ) THEN |
|---|
| 814 | i_start = max( its,ids+spec_zone ) |
|---|
| 815 | i_end = min( ite,ide-spec_zone-1 ) |
|---|
| 816 | j_start = max( jts,jds+spec_zone ) |
|---|
| 817 | j_end = min( jte,jde-spec_zone-1 ) |
|---|
| 818 | k_start = kts |
|---|
| 819 | k_end = min( kte, kde-1 ) |
|---|
| 820 | |
|---|
| 821 | i_endu = min( ite,ide-spec_zone ) |
|---|
| 822 | j_endv = min( jte,jde-spec_zone ) |
|---|
| 823 | k_endw = k_end |
|---|
| 824 | |
|---|
| 825 | IF( config_flags%periodic_x) THEN |
|---|
| 826 | i_start = its |
|---|
| 827 | i_end = ite |
|---|
| 828 | i_endu = i_end |
|---|
| 829 | IF(i_end == ide) i_end = i_end - 1 |
|---|
| 830 | ENDIF |
|---|
| 831 | ELSE |
|---|
| 832 | i_start = its |
|---|
| 833 | i_end = ite |
|---|
| 834 | j_start = jts |
|---|
| 835 | j_end = jte |
|---|
| 836 | k_start = kts |
|---|
| 837 | k_end = kte-1 |
|---|
| 838 | |
|---|
| 839 | i_endu = i_end |
|---|
| 840 | j_endv = j_end |
|---|
| 841 | k_endw = k_end |
|---|
| 842 | |
|---|
| 843 | IF(j_end == jde) j_end = j_end - 1 |
|---|
| 844 | IF(i_end == ide) i_end = i_end - 1 |
|---|
| 845 | ENDIF |
|---|
| 846 | |
|---|
| 847 | i_start_up = i_start |
|---|
| 848 | i_end_up = i_endu |
|---|
| 849 | j_start_up = j_start |
|---|
| 850 | j_end_up = j_end |
|---|
| 851 | |
|---|
| 852 | i_start_vp = i_start |
|---|
| 853 | i_end_vp = i_end |
|---|
| 854 | j_start_vp = j_start |
|---|
| 855 | j_end_vp = j_endv |
|---|
| 856 | |
|---|
| 857 | IF ( (config_flags%open_xs .or. & |
|---|
| 858 | config_flags%symmetric_xs ) & |
|---|
| 859 | .and. (its == ids) ) & |
|---|
| 860 | i_start_up = i_start_up + 1 |
|---|
| 861 | |
|---|
| 862 | IF ( (config_flags%open_xe .or. & |
|---|
| 863 | config_flags%symmetric_xe ) & |
|---|
| 864 | .and. (ite == ide) ) & |
|---|
| 865 | i_end_up = i_end_up - 1 |
|---|
| 866 | |
|---|
| 867 | IF ( (config_flags%open_ys .or. & |
|---|
| 868 | config_flags%symmetric_ys ) & |
|---|
| 869 | .and. (jts == jds) ) & |
|---|
| 870 | j_start_vp = j_start_vp + 1 |
|---|
| 871 | |
|---|
| 872 | IF ( (config_flags%open_ye .or. & |
|---|
| 873 | config_flags%symmetric_ye ) & |
|---|
| 874 | .and. (jte == jde) ) & |
|---|
| 875 | j_end_vp = j_end_vp - 1 |
|---|
| 876 | |
|---|
| 877 | i_start_u_tend = i_start |
|---|
| 878 | i_end_u_tend = i_endu |
|---|
| 879 | j_start_v_tend = j_start |
|---|
| 880 | j_end_v_tend = j_endv |
|---|
| 881 | |
|---|
| 882 | IF ( config_flags%symmetric_xs .and. (its == ids) ) & |
|---|
| 883 | i_start_u_tend = i_start_u_tend+1 |
|---|
| 884 | IF ( config_flags%symmetric_xe .and. (ite == ide) ) & |
|---|
| 885 | i_end_u_tend = i_end_u_tend-1 |
|---|
| 886 | IF ( config_flags%symmetric_ys .and. (jts == jds) ) & |
|---|
| 887 | j_start_v_tend = j_start_v_tend+1 |
|---|
| 888 | IF ( config_flags%symmetric_ye .and. (jte == jde) ) & |
|---|
| 889 | j_end_v_tend = j_end_v_tend-1 |
|---|
| 890 | |
|---|
| 891 | dx = 1./rdx |
|---|
| 892 | dy = 1./rdy |
|---|
| 893 | |
|---|
| 894 | ! start real calculations. |
|---|
| 895 | ! first, u |
|---|
| 896 | |
|---|
| 897 | u_outer_j_loop: DO j = j_start, j_end |
|---|
| 898 | |
|---|
| 899 | DO k = k_start, k_end |
|---|
| 900 | DO i = i_start_u_tend, i_end_u_tend |
|---|
| 901 | u(i,k,j) = u(i,k,j) + dts*ru_tend(i,k,j) |
|---|
| 902 | ENDDO |
|---|
| 903 | ENDDO |
|---|
| 904 | |
|---|
| 905 | DO i = i_start_up, i_end_up |
|---|
| 906 | mudf_xy(i)= -emdiv*dx*(mudf(i,j)-mudf(i-1,j)) |
|---|
| 907 | ENDDO |
|---|
| 908 | |
|---|
| 909 | DO k = k_start, k_end |
|---|
| 910 | DO i = i_start_up, i_end_up |
|---|
| 911 | |
|---|
| 912 | dpxy(i,k)= .5*rdx*muu(i,j)*( & |
|---|
| 913 | ((ph (i,k+1,j)-ph (i-1,k+1,j))+(ph (i,k,j)-ph (i-1,k,j))) & |
|---|
| 914 | +(alt(i,k ,j)+alt(i-1,k ,j))*(p (i,k,j)-p (i-1,k,j)) & |
|---|
| 915 | +(al (i,k ,j)+al (i-1,k ,j))*(pb (i,k,j)-pb (i-1,k,j)) ) |
|---|
| 916 | |
|---|
| 917 | ENDDO |
|---|
| 918 | ENDDO |
|---|
| 919 | |
|---|
| 920 | IF (non_hydrostatic) THEN |
|---|
| 921 | |
|---|
| 922 | DO i = i_start_up, i_end_up |
|---|
| 923 | dpn(i,1) = .5*( cf1*(p(i,1,j)+p(i-1,1,j)) & |
|---|
| 924 | +cf2*(p(i,2,j)+p(i-1,2,j)) & |
|---|
| 925 | +cf3*(p(i,3,j)+p(i-1,3,j)) ) |
|---|
| 926 | dpn(i,kde) = 0. |
|---|
| 927 | ENDDO |
|---|
| 928 | |
|---|
| 929 | |
|---|
| 930 | DO k = k_start+1, k_end |
|---|
| 931 | DO i = i_start_up, i_end_up |
|---|
| 932 | dpn(i,k) = .5*( fnm(k)*(p(i,k ,j)+p(i-1,k ,j)) & |
|---|
| 933 | +fnp(k)*(p(i,k-1,j)+p(i-1,k-1,j)) ) |
|---|
| 934 | ENDDO |
|---|
| 935 | ENDDO |
|---|
| 936 | |
|---|
| 937 | DO k = k_start, k_end |
|---|
| 938 | DO i = i_start_up, i_end_up |
|---|
| 939 | dpxy(i,k)=dpxy(i,k) + rdx*(php(i,k,j)-php(i-1,k,j))* & |
|---|
| 940 | (rdnw(k)*(dpn(i,k+1)-dpn(i,k))-.5*(mu(i-1,j)+mu(i,j))) |
|---|
| 941 | ENDDO |
|---|
| 942 | ENDDO |
|---|
| 943 | |
|---|
| 944 | |
|---|
| 945 | END IF |
|---|
| 946 | |
|---|
| 947 | |
|---|
| 948 | DO k = k_start, k_end |
|---|
| 949 | DO i = i_start_up, i_end_up |
|---|
| 950 | u(i,k,j)=u(i,k,j)-dts*cqu(i,k,j)*dpxy(i,k)+mudf_xy(i) |
|---|
| 951 | ENDDO |
|---|
| 952 | ENDDO |
|---|
| 953 | |
|---|
| 954 | ENDDO u_outer_j_loop |
|---|
| 955 | |
|---|
| 956 | ! now v |
|---|
| 957 | |
|---|
| 958 | v_outer_j_loop: DO j = j_start_v_tend, j_end_v_tend |
|---|
| 959 | |
|---|
| 960 | |
|---|
| 961 | DO k = k_start, k_end |
|---|
| 962 | DO i = i_start, i_end |
|---|
| 963 | v(i,k,j) = v(i,k,j) + dts*rv_tend(i,k,j) |
|---|
| 964 | ENDDO |
|---|
| 965 | ENDDO |
|---|
| 966 | |
|---|
| 967 | DO i = i_start, i_end |
|---|
| 968 | mudf_xy(i)= -emdiv*dy*(mudf(i,j)-mudf(i,j-1)) |
|---|
| 969 | ENDDO |
|---|
| 970 | |
|---|
| 971 | IF ( ( j >= j_start_vp) & |
|---|
| 972 | .and.( j <= j_end_vp ) ) THEN |
|---|
| 973 | |
|---|
| 974 | DO k = k_start, k_end |
|---|
| 975 | DO i = i_start, i_end |
|---|
| 976 | |
|---|
| 977 | dpxy(i,k)= .5*rdy*muv(i,j)*( & |
|---|
| 978 | ((ph(i,k+1,j)-ph(i,k+1,j-1))+(ph (i,k,j)-ph (i,k,j-1))) & |
|---|
| 979 | +(alt(i,k ,j)+alt(i,k ,j-1))*(p (i,k,j)-p (i,k,j-1)) & |
|---|
| 980 | +(al (i,k ,j)+al (i,k ,j-1))*(pb (i,k,j)-pb (i,k,j-1)) ) |
|---|
| 981 | |
|---|
| 982 | ENDDO |
|---|
| 983 | ENDDO |
|---|
| 984 | |
|---|
| 985 | |
|---|
| 986 | IF (non_hydrostatic) THEN |
|---|
| 987 | |
|---|
| 988 | DO i = i_start, i_end |
|---|
| 989 | dpn(i,1) = .5*( cf1*(p(i,1,j)+p(i,1,j-1)) & |
|---|
| 990 | +cf2*(p(i,2,j)+p(i,2,j-1)) & |
|---|
| 991 | +cf3*(p(i,3,j)+p(i,3,j-1)) ) |
|---|
| 992 | dpn(i,kde) = 0. |
|---|
| 993 | ENDDO |
|---|
| 994 | |
|---|
| 995 | |
|---|
| 996 | DO k = k_start+1, k_end |
|---|
| 997 | DO i = i_start, i_end |
|---|
| 998 | dpn(i,k) = .5*( fnm(k)*(p(i,k ,j)+p(i,k ,j-1)) & |
|---|
| 999 | +fnp(k)*(p(i,k-1,j)+p(i,k-1,j-1)) ) |
|---|
| 1000 | ENDDO |
|---|
| 1001 | ENDDO |
|---|
| 1002 | |
|---|
| 1003 | DO k = k_start, k_end |
|---|
| 1004 | DO i = i_start, i_end |
|---|
| 1005 | dpxy(i,k)=dpxy(i,k) + rdy*(php(i,k,j)-php(i,k,j-1))* & |
|---|
| 1006 | (rdnw(k)*(dpn(i,k+1)-dpn(i,k))-.5*(mu(i,j-1)+mu(i,j))) |
|---|
| 1007 | ENDDO |
|---|
| 1008 | ENDDO |
|---|
| 1009 | |
|---|
| 1010 | |
|---|
| 1011 | END IF |
|---|
| 1012 | |
|---|
| 1013 | |
|---|
| 1014 | DO k = k_start, k_end |
|---|
| 1015 | DO i = i_start, i_end |
|---|
| 1016 | v(i,k,j)=v(i,k,j)-dts*cqv(i,k,j)*dpxy(i,k)+mudf_xy(i) |
|---|
| 1017 | ENDDO |
|---|
| 1018 | ENDDO |
|---|
| 1019 | END IF |
|---|
| 1020 | |
|---|
| 1021 | ENDDO v_outer_j_loop |
|---|
| 1022 | |
|---|
| 1023 | END SUBROUTINE advance_uv |
|---|
| 1024 | |
|---|
| 1025 | !--------------------------------------------------------------------- |
|---|
| 1026 | |
|---|
| 1027 | SUBROUTINE advance_mu_t( ww, ww_1, u, u_1, v, v_1, & |
|---|
| 1028 | mu, mut, muave, muts, muu, muv, & |
|---|
| 1029 | mudf, uam, vam, wwam, t, t_1, & |
|---|
| 1030 | t_ave, ft, mu_tend, & |
|---|
| 1031 | rdx, rdy, dts, epssm, & |
|---|
| 1032 | dnw, fnm, fnp, rdnw, & |
|---|
| 1033 | msfu, msfv, msft, & |
|---|
| 1034 | step, config_flags, & |
|---|
| 1035 | ids, ide, jds, jde, kds, kde, & |
|---|
| 1036 | ims, ime, jms, jme, kms, kme, & |
|---|
| 1037 | its, ite, jts, jte, kts, kte ) |
|---|
| 1038 | |
|---|
| 1039 | IMPLICIT NONE ! religion first |
|---|
| 1040 | |
|---|
| 1041 | ! stuff coming in |
|---|
| 1042 | |
|---|
| 1043 | TYPE(grid_config_rec_type), INTENT(IN ) :: config_flags |
|---|
| 1044 | |
|---|
| 1045 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde |
|---|
| 1046 | INTEGER, INTENT(IN ) :: ims,ime, jms,jme, kms,kme |
|---|
| 1047 | INTEGER, INTENT(IN ) :: its,ite, jts,jte, kts,kte |
|---|
| 1048 | |
|---|
| 1049 | INTEGER, INTENT(IN ) :: step |
|---|
| 1050 | |
|---|
| 1051 | REAL, DIMENSION( ims:ime , kms:kme, jms:jme ), & |
|---|
| 1052 | INTENT(IN ) :: & |
|---|
| 1053 | u, & |
|---|
| 1054 | v, & |
|---|
| 1055 | u_1, & |
|---|
| 1056 | v_1, & |
|---|
| 1057 | t_1, & |
|---|
| 1058 | ft |
|---|
| 1059 | |
|---|
| 1060 | REAL, DIMENSION( ims:ime , kms:kme, jms:jme ), & |
|---|
| 1061 | INTENT(INOUT) :: & |
|---|
| 1062 | ww, & |
|---|
| 1063 | ww_1, & |
|---|
| 1064 | t, & |
|---|
| 1065 | t_ave, & |
|---|
| 1066 | uam, & |
|---|
| 1067 | vam, & |
|---|
| 1068 | wwam |
|---|
| 1069 | |
|---|
| 1070 | REAL, DIMENSION( ims:ime , jms:jme ), INTENT(IN ) :: muu, & |
|---|
| 1071 | muv, & |
|---|
| 1072 | mut, & |
|---|
| 1073 | msfu, & |
|---|
| 1074 | msfv, & |
|---|
| 1075 | msft, & |
|---|
| 1076 | mu_tend |
|---|
| 1077 | |
|---|
| 1078 | REAL, DIMENSION( ims:ime , jms:jme ), INTENT( OUT) :: muave, & |
|---|
| 1079 | muts, & |
|---|
| 1080 | mudf |
|---|
| 1081 | |
|---|
| 1082 | REAL, DIMENSION( ims:ime , jms:jme ), INTENT(INOUT) :: mu |
|---|
| 1083 | |
|---|
| 1084 | REAL, DIMENSION( kms:kme ), INTENT(IN ) :: fnm, & |
|---|
| 1085 | fnp, & |
|---|
| 1086 | dnw, & |
|---|
| 1087 | rdnw |
|---|
| 1088 | |
|---|
| 1089 | |
|---|
| 1090 | REAL, INTENT(IN ) :: rdx, & |
|---|
| 1091 | rdy, & |
|---|
| 1092 | dts, & |
|---|
| 1093 | epssm |
|---|
| 1094 | |
|---|
| 1095 | ! Local 3d array from the stack (note tile size) |
|---|
| 1096 | |
|---|
| 1097 | REAL, DIMENSION (its:ite, kts:kte) :: wdtn, dvdxi |
|---|
| 1098 | REAL, DIMENSION (its:ite) :: dmdt |
|---|
| 1099 | |
|---|
| 1100 | INTEGER :: i,j,k, i_start, i_end, j_start, j_end, k_start, k_end |
|---|
| 1101 | INTEGER :: i_endu, j_endv |
|---|
| 1102 | REAL :: acc |
|---|
| 1103 | |
|---|
| 1104 | !<DESCRIPTION> |
|---|
| 1105 | ! |
|---|
| 1106 | ! advance_mu_t advances the explicit perturbation theta equation and the mass |
|---|
| 1107 | ! conservation equation. In addition, the small timestep omega is updated, |
|---|
| 1108 | ! and some quantities needed in other places are squirrelled away. |
|---|
| 1109 | ! |
|---|
| 1110 | !</DESCRIPTION> |
|---|
| 1111 | |
|---|
| 1112 | ! now, the real work. |
|---|
| 1113 | ! set the loop bounds taking into account boundary conditions. |
|---|
| 1114 | |
|---|
| 1115 | i_start = its |
|---|
| 1116 | i_end = ite |
|---|
| 1117 | j_start = jts |
|---|
| 1118 | j_end = jte |
|---|
| 1119 | k_start = kts |
|---|
| 1120 | k_end = kte-1 |
|---|
| 1121 | |
|---|
| 1122 | i_endu = i_end |
|---|
| 1123 | j_endv = j_end |
|---|
| 1124 | |
|---|
| 1125 | IF(j_end == jde) j_end = j_end - 1 |
|---|
| 1126 | IF(i_end == ide) i_end = i_end - 1 |
|---|
| 1127 | |
|---|
| 1128 | IF ( .NOT. config_flags%periodic_x )THEN |
|---|
| 1129 | IF ( (config_flags%specified .or. config_flags%nested) .and. (its == ids) ) & |
|---|
| 1130 | i_start = i_start + 1 |
|---|
| 1131 | |
|---|
| 1132 | IF ( (config_flags%specified .or. config_flags%nested) .and. (ite == ide) ) & |
|---|
| 1133 | i_end = i_end - 1 |
|---|
| 1134 | ENDIF |
|---|
| 1135 | |
|---|
| 1136 | IF ( (config_flags%specified .or. config_flags%nested) .and. (jts == jds) ) & |
|---|
| 1137 | j_start = j_start + 1 |
|---|
| 1138 | |
|---|
| 1139 | IF ( (config_flags%specified .or. config_flags%nested) .and. (jte == jde) ) & |
|---|
| 1140 | j_end = j_end - 1 |
|---|
| 1141 | |
|---|
| 1142 | |
|---|
| 1143 | ! CALCULATION OF WW (dETA/dt) |
|---|
| 1144 | DO j = j_start, j_end |
|---|
| 1145 | |
|---|
| 1146 | DO i=i_start, i_end |
|---|
| 1147 | dmdt(i) = 0. |
|---|
| 1148 | ENDDO |
|---|
| 1149 | ! NOTE: mu is not coupled with the map scale factor. |
|---|
| 1150 | ! ww (omega) IS coupled with the map scale factor. |
|---|
| 1151 | ! Being coupled with the map scale factor means |
|---|
| 1152 | ! multiplication by (1/msft) in this case. |
|---|
| 1153 | |
|---|
| 1154 | DO k=k_start, k_end |
|---|
| 1155 | DO i=i_start, i_end |
|---|
| 1156 | dvdxi(i,k) = msft(i,j)*msft(i,j)*( & |
|---|
| 1157 | rdy*( (v(i,k,j+1)+muv(i,j+1)*v_1(i,k,j+1)/msfv(i,j+1)) & |
|---|
| 1158 | -(v(i,k,j )+muv(i,j )*v_1(i,k,j )/msfv(i,j )) ) & |
|---|
| 1159 | +rdx*( (u(i+1,k,j)+muu(i+1,j)*u_1(i+1,k,j)/msfu(i+1,j)) & |
|---|
| 1160 | -(u(i,k,j )+muu(i ,j)*u_1(i,k,j )/msfu(i ,j)) ) ) |
|---|
| 1161 | dmdt(i) = dmdt(i) + dnw(k)*dvdxi(i,k) |
|---|
| 1162 | ENDDO |
|---|
| 1163 | ENDDO |
|---|
| 1164 | DO i=i_start, i_end |
|---|
| 1165 | muave(i,j) = mu(i,j) |
|---|
| 1166 | mu(i,j) = mu(i,j)+dts*(dmdt(i)+mu_tend(i,j)) |
|---|
| 1167 | mudf(i,j) = (dmdt(i)+mu_tend(i,j)) ! save tendency for div damp filter |
|---|
| 1168 | muts(i,j) = mut(i,j)+mu(i,j) |
|---|
| 1169 | muave(i,j) =.5*((1.+epssm)*mu(i,j)+(1.-epssm)*muave(i,j)) |
|---|
| 1170 | ENDDO |
|---|
| 1171 | |
|---|
| 1172 | DO k=2,k_end |
|---|
| 1173 | DO i=i_start, i_end |
|---|
| 1174 | ww(i,k,j)=ww(i,k-1,j)-dnw(k-1)*(dmdt(i)+dvdxi(i,k-1)+mu_tend(i,j))/msft(i,j) |
|---|
| 1175 | ENDDO |
|---|
| 1176 | END DO |
|---|
| 1177 | |
|---|
| 1178 | ! NOTE: ww_1 (large timestep ww) is already coupled with the |
|---|
| 1179 | ! map scale factor |
|---|
| 1180 | |
|---|
| 1181 | DO k=1,k_end |
|---|
| 1182 | DO i=i_start, i_end |
|---|
| 1183 | ww(i,k,j)=ww(i,k,j)-ww_1(i,k,j) |
|---|
| 1184 | END DO |
|---|
| 1185 | END DO |
|---|
| 1186 | |
|---|
| 1187 | ENDDO |
|---|
| 1188 | |
|---|
| 1189 | ! CALCULATION OF THETA |
|---|
| 1190 | |
|---|
| 1191 | ! NOTE: theta'' is not coupled with the map-scale factor, |
|---|
| 1192 | ! while the theta'' tendency is coupled (i.e., mult by 1/msft) |
|---|
| 1193 | |
|---|
| 1194 | DO j=j_start, j_end |
|---|
| 1195 | DO k=1,k_end |
|---|
| 1196 | DO i=i_start, i_end |
|---|
| 1197 | t_ave(i,k,j) = t(i,k,j) |
|---|
| 1198 | t (i,k,j) = t(i,k,j) + msft(i,j)*dts*ft(i,k,j) |
|---|
| 1199 | END DO |
|---|
| 1200 | END DO |
|---|
| 1201 | ENDDO |
|---|
| 1202 | |
|---|
| 1203 | DO j=j_start, j_end |
|---|
| 1204 | |
|---|
| 1205 | DO i=i_start, i_end |
|---|
| 1206 | wdtn(i,1 )=0. |
|---|
| 1207 | wdtn(i,kde)=0. |
|---|
| 1208 | ENDDO |
|---|
| 1209 | |
|---|
| 1210 | DO k=2,k_end |
|---|
| 1211 | DO i=i_start, i_end |
|---|
| 1212 | wdtn(i,k)= ww(i,k,j)*(fnm(k)*t_1(i,k ,j)+fnp(k)*t_1(i,k-1,j)) |
|---|
| 1213 | ENDDO |
|---|
| 1214 | ENDDO |
|---|
| 1215 | |
|---|
| 1216 | DO k=1,k_end |
|---|
| 1217 | DO i=i_start, i_end |
|---|
| 1218 | t(i,k,j) = t(i,k,j) - dts*msft(i,j)*( & |
|---|
| 1219 | msft(i,j)*( & |
|---|
| 1220 | .5*rdy* & |
|---|
| 1221 | ( v(i,k,j+1)*(t_1(i,k,j+1)+t_1(i,k, j )) & |
|---|
| 1222 | -v(i,k,j )*(t_1(i,k, j )+t_1(i,k,j-1)) ) & |
|---|
| 1223 | + .5*rdx* & |
|---|
| 1224 | ( u(i+1,k,j)*(t_1(i+1,k,j)+t_1(i ,k,j)) & |
|---|
| 1225 | -u(i ,k,j)*(t_1(i ,k,j)+t_1(i-1,k,j)) ) ) & |
|---|
| 1226 | + rdnw(k)*( wdtn(i,k+1)-wdtn(i,k) ) ) |
|---|
| 1227 | ENDDO |
|---|
| 1228 | ENDDO |
|---|
| 1229 | |
|---|
| 1230 | ENDDO |
|---|
| 1231 | |
|---|
| 1232 | END SUBROUTINE advance_mu_t |
|---|
| 1233 | |
|---|
| 1234 | |
|---|
| 1235 | |
|---|
| 1236 | !------------------------------------------------------------ |
|---|
| 1237 | |
|---|
| 1238 | SUBROUTINE advance_w( w, rw_tend, ww, u, v, & |
|---|
| 1239 | mu1, mut, muave, muts, & |
|---|
| 1240 | t_2ave, t_2, t_1, & |
|---|
| 1241 | ph, ph_1, phb, ph_tend, & |
|---|
| 1242 | ht, c2a, cqw, alt, alb, & |
|---|
| 1243 | a, alpha, gamma, & |
|---|
| 1244 | rdx, rdy, dts, t0, epssm, & |
|---|
| 1245 | dnw, fnm, fnp, rdnw, rdn, & |
|---|
| 1246 | cf1, cf2, cf3, msft, & |
|---|
| 1247 | config_flags, & |
|---|
| 1248 | ids,ide, jds,jde, kds,kde, & ! domain dims |
|---|
| 1249 | ims,ime, jms,jme, kms,kme, & ! memory dims |
|---|
| 1250 | its,ite, jts,jte, kts,kte ) ! tile dims |
|---|
| 1251 | |
|---|
| 1252 | IMPLICIT NONE ! religion first |
|---|
| 1253 | |
|---|
| 1254 | ! stuff coming in |
|---|
| 1255 | |
|---|
| 1256 | |
|---|
| 1257 | TYPE(grid_config_rec_type), INTENT(IN ) :: config_flags |
|---|
| 1258 | |
|---|
| 1259 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde |
|---|
| 1260 | INTEGER, INTENT(IN ) :: ims,ime, jms,jme, kms,kme |
|---|
| 1261 | INTEGER, INTENT(IN ) :: its,ite, jts,jte, kts,kte |
|---|
| 1262 | |
|---|
| 1263 | REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), & |
|---|
| 1264 | INTENT(INOUT) :: & |
|---|
| 1265 | t_2ave, & |
|---|
| 1266 | w, & |
|---|
| 1267 | ph |
|---|
| 1268 | |
|---|
| 1269 | |
|---|
| 1270 | REAL, DIMENSION( ims:ime , kms:kme, jms:jme ), & |
|---|
| 1271 | INTENT(IN ) :: & |
|---|
| 1272 | rw_tend, & |
|---|
| 1273 | ww, & |
|---|
| 1274 | u, & |
|---|
| 1275 | v, & |
|---|
| 1276 | t_2, & |
|---|
| 1277 | t_1, & |
|---|
| 1278 | ph_1, & |
|---|
| 1279 | phb, & |
|---|
| 1280 | ph_tend, & |
|---|
| 1281 | alpha, & |
|---|
| 1282 | gamma, & |
|---|
| 1283 | a, & |
|---|
| 1284 | c2a, & |
|---|
| 1285 | cqw, & |
|---|
| 1286 | alb, & |
|---|
| 1287 | alt |
|---|
| 1288 | |
|---|
| 1289 | REAL, DIMENSION( ims:ime , jms:jme ), & |
|---|
| 1290 | INTENT(IN ) :: & |
|---|
| 1291 | mu1, & |
|---|
| 1292 | mut, & |
|---|
| 1293 | muave, & |
|---|
| 1294 | muts, & |
|---|
| 1295 | ht, & |
|---|
| 1296 | msft |
|---|
| 1297 | |
|---|
| 1298 | REAL, DIMENSION( kms:kme ), INTENT(IN ) :: fnp, & |
|---|
| 1299 | fnm, & |
|---|
| 1300 | rdnw, & |
|---|
| 1301 | rdn, & |
|---|
| 1302 | dnw |
|---|
| 1303 | |
|---|
| 1304 | REAL, INTENT(IN ) :: rdx, & |
|---|
| 1305 | rdy, & |
|---|
| 1306 | dts, & |
|---|
| 1307 | cf1, & |
|---|
| 1308 | cf2, & |
|---|
| 1309 | cf3, & |
|---|
| 1310 | t0, & |
|---|
| 1311 | epssm |
|---|
| 1312 | |
|---|
| 1313 | ! Stack based 3d data, tile size. |
|---|
| 1314 | |
|---|
| 1315 | REAL, DIMENSION( its:ite ) :: mut_inv, msft_inv |
|---|
| 1316 | REAL, DIMENSION( its:ite, kts:kte ) :: rhs, wdwn |
|---|
| 1317 | INTEGER :: i,j,k, i_start, i_end, j_start, j_end, k_start, k_end |
|---|
| 1318 | |
|---|
| 1319 | !<DESCRIPTION> |
|---|
| 1320 | ! |
|---|
| 1321 | ! advance_w advances the implicit w and geopotential equations. |
|---|
| 1322 | ! |
|---|
| 1323 | !</DESCRIPTION> |
|---|
| 1324 | |
|---|
| 1325 | ! set loop limits. |
|---|
| 1326 | ! Currently set for periodic boundary conditions |
|---|
| 1327 | |
|---|
| 1328 | i_start = its |
|---|
| 1329 | i_end = ite |
|---|
| 1330 | j_start = jts |
|---|
| 1331 | j_end = jte |
|---|
| 1332 | k_start = kts |
|---|
| 1333 | k_end = kte-1 |
|---|
| 1334 | |
|---|
| 1335 | |
|---|
| 1336 | IF(j_end == jde) j_end = j_end - 1 |
|---|
| 1337 | IF(i_end == ide) i_end = i_end - 1 |
|---|
| 1338 | |
|---|
| 1339 | IF ( .NOT. config_flags%periodic_x )THEN |
|---|
| 1340 | IF ( (config_flags%specified .or. config_flags%nested) .and. (its == ids) ) & |
|---|
| 1341 | i_start = i_start + 1 |
|---|
| 1342 | |
|---|
| 1343 | IF ( (config_flags%specified .or. config_flags%nested) .and. (ite == ide) ) & |
|---|
| 1344 | i_end = i_end - 1 |
|---|
| 1345 | ENDIF |
|---|
| 1346 | |
|---|
| 1347 | IF ( (config_flags%specified .or. config_flags%nested) .and. (jts == jds) ) & |
|---|
| 1348 | j_start = j_start + 1 |
|---|
| 1349 | |
|---|
| 1350 | IF ( (config_flags%specified .or. config_flags%nested) .and. (jte == jde) ) & |
|---|
| 1351 | j_end = j_end - 1 |
|---|
| 1352 | |
|---|
| 1353 | |
|---|
| 1354 | ! calculation of phi and w equations |
|---|
| 1355 | |
|---|
| 1356 | DO i=i_start, i_end |
|---|
| 1357 | rhs(i,1) = 0. |
|---|
| 1358 | ENDDO |
|---|
| 1359 | |
|---|
| 1360 | j_loop_w: DO j = j_start, j_end |
|---|
| 1361 | DO i=i_start, i_end |
|---|
| 1362 | mut_inv(i) = 1./mut(i,j) |
|---|
| 1363 | msft_inv(i) = 1./msft(i,j) |
|---|
| 1364 | ENDDO |
|---|
| 1365 | |
|---|
| 1366 | DO k=1, k_end |
|---|
| 1367 | DO i=i_start, i_end |
|---|
| 1368 | t_2ave(i,k,j)=.5*((1.+epssm)*t_2(i,k,j) & |
|---|
| 1369 | +(1.-epssm)*t_2ave(i,k,j)) |
|---|
| 1370 | t_2ave(i,k,j)=(t_2ave(i,k,j)-mu1(i,j)*t_1(i,k,j)) & |
|---|
| 1371 | /(muts(i,j)*(t0+t_1(i,k,j))) |
|---|
| 1372 | wdwn(i,k+1)=.5*(ww(i,k+1,j)+ww(i,k,j))*rdnw(k) & |
|---|
| 1373 | *(ph_1(i,k+1,j)-ph_1(i,k,j)+phb(i,k+1,j)-phb(i,k,j)) |
|---|
| 1374 | rhs(i,k+1) = dts*(ph_tend(i,k+1,j) + .5*g*(1.-epssm)*w(i,k+1,j)) |
|---|
| 1375 | |
|---|
| 1376 | ENDDO |
|---|
| 1377 | ENDDO |
|---|
| 1378 | |
|---|
| 1379 | DO k=2,k_end |
|---|
| 1380 | DO i=i_start, i_end |
|---|
| 1381 | rhs(i,k) = rhs(i,k)-dts*( fnm(k)*wdwn(i,k+1) & |
|---|
| 1382 | +fnp(k)*wdwn(i,k ) ) |
|---|
| 1383 | ENDDO |
|---|
| 1384 | ENDDO |
|---|
| 1385 | |
|---|
| 1386 | ! NOTE: phi'' is not coupled with the map-scale factor (1/m), |
|---|
| 1387 | ! but it's tendency is, so must multiply by msft here |
|---|
| 1388 | |
|---|
| 1389 | DO k=2,k_end+1 |
|---|
| 1390 | DO i=i_start, i_end |
|---|
| 1391 | rhs(i,k) = ph(i,k,j) + msft(i,j)*rhs(i,k)*mut_inv(i) |
|---|
| 1392 | ENDDO |
|---|
| 1393 | ENDDO |
|---|
| 1394 | |
|---|
| 1395 | ! lower boundary condition on w |
|---|
| 1396 | |
|---|
| 1397 | DO i=i_start, i_end |
|---|
| 1398 | w(i,1,j)= & |
|---|
| 1399 | |
|---|
| 1400 | .5*rdy*( & |
|---|
| 1401 | (ht(i,j+1)-ht(i,j )) & |
|---|
| 1402 | *(cf1*v(i,1,j+1)+cf2*v(i,2,j+1)+cf3*v(i,3,j+1)) & |
|---|
| 1403 | +(ht(i,j )-ht(i,j-1)) & |
|---|
| 1404 | *(cf1*v(i,1,j )+cf2*v(i,2,j )+cf3*v(i,3,j )) ) & |
|---|
| 1405 | |
|---|
| 1406 | +.5*rdx*( & |
|---|
| 1407 | (ht(i+1,j)-ht(i,j )) & |
|---|
| 1408 | *(cf1*u(i+1,1,j)+cf2*u(i+1,2,j)+cf3*u(i+1,3,j)) & |
|---|
| 1409 | +(ht(i,j )-ht(i-1,j)) & |
|---|
| 1410 | *(cf1*u(i ,1,j)+cf2*u(i ,2,j)+cf3*u(i ,3,j)) ) |
|---|
| 1411 | |
|---|
| 1412 | ENDDO |
|---|
| 1413 | ! |
|---|
| 1414 | ! Jammed 3 doubly nested loops over k/i into 1 for slight improvement |
|---|
| 1415 | ! in efficiency. No change in results (bit-for-bit). JM 20040514 |
|---|
| 1416 | ! (left a blank line where the other two k/i-loops were) |
|---|
| 1417 | ! |
|---|
| 1418 | DO k=2,k_end |
|---|
| 1419 | DO i=i_start, i_end |
|---|
| 1420 | w(i,k,j)=w(i,k,j)+dts*rw_tend(i,k,j) & |
|---|
| 1421 | |
|---|
| 1422 | + msft_inv(i)*cqw(i,k,j)*( & |
|---|
| 1423 | +.5*dts*g*mut_inv(i)*rdn(k)* & |
|---|
| 1424 | (c2a(i,k ,j)*rdnw(k ) & |
|---|
| 1425 | *((1.+epssm)*(rhs(i,k+1 )-rhs(i,k )) & |
|---|
| 1426 | +(1.-epssm)*(ph(i,k+1,j)-ph(i,k ,j))) & |
|---|
| 1427 | -c2a(i,k-1,j)*rdnw(k-1) & |
|---|
| 1428 | *((1.+epssm)*(rhs(i,k )-rhs(i,k-1 )) & |
|---|
| 1429 | +(1.-epssm)*(ph(i,k ,j)-ph(i,k-1,j))))) & |
|---|
| 1430 | |
|---|
| 1431 | +dts*g*msft_inv(i)*(rdn(k)* & |
|---|
| 1432 | (c2a(i,k ,j)*alt(i,k ,j)*t_2ave(i,k ,j) & |
|---|
| 1433 | -c2a(i,k-1,j)*alt(i,k-1,j)*t_2ave(i,k-1,j)) & |
|---|
| 1434 | +(rdn(k)*(c2a(i,k ,j)*alb(i,k ,j) & |
|---|
| 1435 | -c2a(i,k-1,j)*alb(i,k-1,j))*mut_inv(i)-1.) & |
|---|
| 1436 | *muave(i,j)) |
|---|
| 1437 | ENDDO |
|---|
| 1438 | ENDDO |
|---|
| 1439 | |
|---|
| 1440 | K=k_end+1 |
|---|
| 1441 | |
|---|
| 1442 | DO i=i_start, i_end |
|---|
| 1443 | w(i,k,j)=w(i,k,j)+dts*rw_tend(i,k,j) & |
|---|
| 1444 | +msft_inv(i)*( & |
|---|
| 1445 | -.5*dts*g*mut_inv(i)*rdnw(k-1)**2*2.*c2a(i,k-1,j) & |
|---|
| 1446 | *((1.+epssm)*(rhs(i,k )-rhs(i,k-1 )) & |
|---|
| 1447 | +(1.-epssm)*(ph(i,k,j)-ph(i,k-1,j))) & |
|---|
| 1448 | -dts*g*(2.*rdnw(k-1)* & |
|---|
| 1449 | c2a(i,k-1,j)*alt(i,k-1,j)*t_2ave(i,k-1,j) & |
|---|
| 1450 | +(1.+2.*rdnw(k-1)*c2a(i,k-1,j)*alb(i,k-1,j)*mut_inv(i)) & |
|---|
| 1451 | *muave(i,j)) ) |
|---|
| 1452 | ENDDO |
|---|
| 1453 | |
|---|
| 1454 | DO k=2,k_end+1 |
|---|
| 1455 | DO i=i_start, i_end |
|---|
| 1456 | w(i,k,j)=(w(i,k,j)-a(i,k,j)*w(i,k-1,j))*alpha(i,k,j) |
|---|
| 1457 | ENDDO |
|---|
| 1458 | ENDDO |
|---|
| 1459 | |
|---|
| 1460 | DO k=k_end,2,-1 |
|---|
| 1461 | DO i=i_start, i_end |
|---|
| 1462 | w (i,k,j)=w (i,k,j)-gamma(i,k,j)*w(i,k+1,j) |
|---|
| 1463 | ph(i,k+1,j) = rhs(i,k+1)+msft(i,j)*.5*dts*g*(1.+epssm) & |
|---|
| 1464 | *w(i,k+1,j)/muts(i,j) |
|---|
| 1465 | ENDDO |
|---|
| 1466 | ENDDO |
|---|
| 1467 | |
|---|
| 1468 | DO i=i_start, i_end |
|---|
| 1469 | ph(i,2,j) = rhs(i,2)+msft(i,j)*.5*dts*g*(1.+epssm) & |
|---|
| 1470 | *w(i,2,j)/muts(i,j) |
|---|
| 1471 | ENDDO |
|---|
| 1472 | |
|---|
| 1473 | ENDDO j_loop_w |
|---|
| 1474 | |
|---|
| 1475 | END SUBROUTINE advance_w |
|---|
| 1476 | |
|---|
| 1477 | !--------------------------------------------------------------------- |
|---|
| 1478 | |
|---|
| 1479 | SUBROUTINE sumflux ( ru, rv, ww, & |
|---|
| 1480 | u_lin, v_lin, ww_lin, & |
|---|
| 1481 | muu, muv, & |
|---|
| 1482 | ru_m, rv_m, ww_m, epssm, & |
|---|
| 1483 | msfu, msfv, & |
|---|
| 1484 | iteration , number_of_small_timesteps, & |
|---|
| 1485 | ids,ide, jds,jde, kds,kde, & |
|---|
| 1486 | ims,ime, jms,jme, kms,kme, & |
|---|
| 1487 | its,ite, jts,jte, kts,kte ) |
|---|
| 1488 | |
|---|
| 1489 | |
|---|
| 1490 | IMPLICIT NONE ! religion first |
|---|
| 1491 | |
|---|
| 1492 | ! declarations for the stuff coming in |
|---|
| 1493 | |
|---|
| 1494 | INTEGER, INTENT(IN ) :: number_of_small_timesteps |
|---|
| 1495 | INTEGER, INTENT(IN ) :: iteration |
|---|
| 1496 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde |
|---|
| 1497 | INTEGER, INTENT(IN ) :: ims,ime, jms,jme, kms,kme |
|---|
| 1498 | INTEGER, INTENT(IN ) :: its,ite, jts,jte, kts,kte |
|---|
| 1499 | |
|---|
| 1500 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(IN ) :: ru, & |
|---|
| 1501 | rv, & |
|---|
| 1502 | ww, & |
|---|
| 1503 | u_lin, & |
|---|
| 1504 | v_lin, & |
|---|
| 1505 | ww_lin |
|---|
| 1506 | |
|---|
| 1507 | |
|---|
| 1508 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme) , INTENT(INOUT) :: ru_m, & |
|---|
| 1509 | rv_m, & |
|---|
| 1510 | ww_m |
|---|
| 1511 | REAL, DIMENSION(ims:ime, jms:jme) , INTENT(IN ) :: muu, muv, msfu, msfv |
|---|
| 1512 | |
|---|
| 1513 | INTEGER :: mini, minj, mink |
|---|
| 1514 | |
|---|
| 1515 | |
|---|
| 1516 | REAL, INTENT(IN ) :: epssm |
|---|
| 1517 | INTEGER :: i,j,k |
|---|
| 1518 | |
|---|
| 1519 | |
|---|
| 1520 | !<DESCRIPTION> |
|---|
| 1521 | ! |
|---|
| 1522 | ! update the small-timestep time-averaged mass fluxes; these |
|---|
| 1523 | ! are needed for consistent mass-conserving scalar advection. |
|---|
| 1524 | ! |
|---|
| 1525 | !</DESCRIPTION> |
|---|
| 1526 | |
|---|
| 1527 | IF (iteration == 1 )THEN |
|---|
| 1528 | DO j = jts, jte |
|---|
| 1529 | DO k = kts, kte |
|---|
| 1530 | DO i = its, ite |
|---|
| 1531 | ru_m(i,k,j) = 0. |
|---|
| 1532 | rv_m(i,k,j) = 0. |
|---|
| 1533 | ww_m(i,k,j) = 0. |
|---|
| 1534 | ENDDO |
|---|
| 1535 | ENDDO |
|---|
| 1536 | ENDDO |
|---|
| 1537 | ENDIF |
|---|
| 1538 | |
|---|
| 1539 | mini = min(ide-1,ite) |
|---|
| 1540 | minj = min(jde-1,jte) |
|---|
| 1541 | mink = min(kde-1,kte) |
|---|
| 1542 | |
|---|
| 1543 | |
|---|
| 1544 | DO j = jts, minj |
|---|
| 1545 | DO k = kts, mink |
|---|
| 1546 | DO i = its, mini |
|---|
| 1547 | ru_m(i,k,j) = ru_m(i,k,j) + ru(i,k,j) |
|---|
| 1548 | rv_m(i,k,j) = rv_m(i,k,j) + rv(i,k,j) |
|---|
| 1549 | ww_m(i,k,j) = ww_m(i,k,j) + ww(i,k,j) |
|---|
| 1550 | ENDDO |
|---|
| 1551 | ENDDO |
|---|
| 1552 | ENDDO |
|---|
| 1553 | |
|---|
| 1554 | IF (ite .GT. mini) THEN |
|---|
| 1555 | DO j = jts, minj |
|---|
| 1556 | DO k = kts, mink |
|---|
| 1557 | DO i = mini+1, ite |
|---|
| 1558 | ru_m(i,k,j) = ru_m(i,k,j) + ru(i,k,j) |
|---|
| 1559 | ENDDO |
|---|
| 1560 | ENDDO |
|---|
| 1561 | ENDDO |
|---|
| 1562 | END IF |
|---|
| 1563 | IF (jte .GT. minj) THEN |
|---|
| 1564 | DO j = minj+1, jte |
|---|
| 1565 | DO k = kts, mink |
|---|
| 1566 | DO i = its, mini |
|---|
| 1567 | rv_m(i,k,j) = rv_m(i,k,j) + rv(i,k,j) |
|---|
| 1568 | ENDDO |
|---|
| 1569 | ENDDO |
|---|
| 1570 | ENDDO |
|---|
| 1571 | END IF |
|---|
| 1572 | IF ( kte .GT. mink) THEN |
|---|
| 1573 | DO j = jts, minj |
|---|
| 1574 | DO k = mink+1, kte |
|---|
| 1575 | DO i = its, mini |
|---|
| 1576 | ww_m(i,k,j) = ww_m(i,k,j) + ww(i,k,j) |
|---|
| 1577 | ENDDO |
|---|
| 1578 | ENDDO |
|---|
| 1579 | ENDDO |
|---|
| 1580 | END IF |
|---|
| 1581 | |
|---|
| 1582 | IF (iteration == number_of_small_timesteps) THEN |
|---|
| 1583 | |
|---|
| 1584 | DO j = jts, minj |
|---|
| 1585 | DO k = kts, mink |
|---|
| 1586 | DO i = its, mini |
|---|
| 1587 | ru_m(i,k,j) = ru_m(i,k,j) / number_of_small_timesteps & |
|---|
| 1588 | + muu(i,j)*u_lin(i,k,j)/msfu(i,j) |
|---|
| 1589 | rv_m(i,k,j) = rv_m(i,k,j) / number_of_small_timesteps & |
|---|
| 1590 | + muv(i,j)*v_lin(i,k,j)/msfv(i,j) |
|---|
| 1591 | ww_m(i,k,j) = ww_m(i,k,j) / number_of_small_timesteps & |
|---|
| 1592 | + ww_lin(i,k,j) |
|---|
| 1593 | ENDDO |
|---|
| 1594 | ENDDO |
|---|
| 1595 | ENDDO |
|---|
| 1596 | |
|---|
| 1597 | |
|---|
| 1598 | IF (ite .GT. mini) THEN |
|---|
| 1599 | DO j = jts, minj |
|---|
| 1600 | DO k = kts, mink |
|---|
| 1601 | DO i = mini+1, ite |
|---|
| 1602 | ru_m(i,k,j) = ru_m(i,k,j) / number_of_small_timesteps & |
|---|
| 1603 | + muu(i,j)*u_lin(i,k,j)/msfu(i,j) |
|---|
| 1604 | ENDDO |
|---|
| 1605 | ENDDO |
|---|
| 1606 | ENDDO |
|---|
| 1607 | END IF |
|---|
| 1608 | IF (jte .GT. minj) THEN |
|---|
| 1609 | DO j = minj+1, jte |
|---|
| 1610 | DO k = kts, mink |
|---|
| 1611 | DO i = its, mini |
|---|
| 1612 | rv_m(i,k,j) = rv_m(i,k,j) / number_of_small_timesteps & |
|---|
| 1613 | + muv(i,j)*v_lin(i,k,j)/msfv(i,j) |
|---|
| 1614 | ENDDO |
|---|
| 1615 | ENDDO |
|---|
| 1616 | ENDDO |
|---|
| 1617 | END IF |
|---|
| 1618 | IF ( kte .GT. mink) THEN |
|---|
| 1619 | DO j = jts, minj |
|---|
| 1620 | DO k = mink+1, kte |
|---|
| 1621 | DO i = its, mini |
|---|
| 1622 | ww_m(i,k,j) = ww_m(i,k,j) / number_of_small_timesteps & |
|---|
| 1623 | + ww_lin(i,k,j) |
|---|
| 1624 | ENDDO |
|---|
| 1625 | ENDDO |
|---|
| 1626 | ENDDO |
|---|
| 1627 | END IF |
|---|
| 1628 | |
|---|
| 1629 | ENDIF |
|---|
| 1630 | |
|---|
| 1631 | |
|---|
| 1632 | END SUBROUTINE sumflux |
|---|
| 1633 | |
|---|
| 1634 | !--------------------------------------------------------------------- |
|---|
| 1635 | |
|---|
| 1636 | SUBROUTINE init_module_small_step |
|---|
| 1637 | END SUBROUTINE init_module_small_step |
|---|
| 1638 | |
|---|
| 1639 | END MODULE module_small_step_em |
|---|