| 1 | MODULE obcspg |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE obcspg *** |
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| 4 | !! Open Boundaries : Radiation of barotropic stream function on each |
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| 5 | !! open boundary |
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| 6 | !!====================================================================== |
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| 7 | #if defined key_obc && defined key_dynspg_rl |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | !! 'key_obc' and Open Boundary Condition |
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| 10 | !! 'key_dynspg_rl' Rigid-Lid |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! obc_spg : call the subroutine for each open boundary |
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| 13 | !! obc_spg_east : radiation of the east open boundary streamfunction |
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| 14 | !! obc_spg_west : radiation of the west open boundary streamfunction |
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| 15 | !! obc_spg_north : radiation of the north open boundary streamfunction |
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| 16 | !! obc_spg_south : radiation of the south open boundary streamfunction |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | !! * Modules used |
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| 19 | USE oce ! ocean dynamics and tracers variables |
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| 20 | USE dom_oce ! ocean space and time domain variables |
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| 21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 22 | USE phycst ! physical constants |
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| 23 | USE obc_oce ! ocean open boundary conditions |
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| 24 | USE lib_mpp ! for mppobc |
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| 25 | USE in_out_manager ! I/O manager |
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| 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | PRIVATE |
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| 29 | |
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| 30 | !! * Accessibility |
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| 31 | PUBLIC obc_spg ! routine called in step.F90 (rigid lid case) |
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| 32 | |
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| 33 | !! * Module variables |
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| 34 | INTEGER :: ji, jj, jk, jnic ! dummy loop indices |
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| 35 | |
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| 36 | INTEGER :: & ! ... boundary space indices |
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| 37 | nib = 1, & ! nib = boundary point |
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| 38 | nibm = 2, & ! nibm = 1st interior point |
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| 39 | nibm2 = 3, & ! nibm2 = 2nd interior point |
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| 40 | ! ! ... boundary time indices |
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| 41 | nit = 1, & ! nit = now |
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| 42 | nitm = 2, & ! nitm = before |
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| 43 | nitm2 = 3 ! nitm2 = before-before |
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| 44 | |
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| 45 | REAL(wp) :: rtaue , rtauw , rtaun , rtaus , & ! |
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| 46 | rtauein, rtauwin, rtaunin, rtausin ! |
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| 47 | |
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| 48 | !! * Substitutions |
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| 49 | # include "obc_vectopt_loop_substitute.h90" |
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| 50 | !!---------------------------------------------------------------------- |
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| 51 | !! OPA 9.0 , LODYC-IPSL (2003) |
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| 52 | !!---------------------------------------------------------------------- |
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| 53 | |
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| 54 | CONTAINS |
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| 55 | |
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| 56 | SUBROUTINE obc_spg ( kt ) |
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| 57 | !!---------------------------------------------------------------------- |
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| 58 | !! *** ROUTINE obc_spg *** |
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| 59 | !! |
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| 60 | !! ** Purpose : |
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| 61 | !! Compute now barotropic stream function at the open boundaries. |
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| 62 | !! (lpeastobc, and/or lpwestobc, and/or lpnorthobc, and/or lpsouthobc). |
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| 63 | !! Deduce the correct bsf trend on the open boundaries and isolated |
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| 64 | !! coastlines previous to the call to the barotropic solver. |
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| 65 | !! |
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| 66 | !! ** Method : |
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| 67 | !! In case of open boundaries, there can be a net barotropic flow |
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| 68 | !! through the boundaries, hence the potential on the coastlines |
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| 69 | !! on each side of the OBC is different. |
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| 70 | !! This routine: |
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| 71 | !! 1. compute the contribution of the isolated coastlines to the |
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| 72 | !! rhs of the barotropic equation |
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| 73 | !! 2. compute the contribution of the OBC to the rhs of the |
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| 74 | !! barotropic equation using a radiation equation as explained |
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| 75 | !! in the OBC routine. |
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| 76 | !! |
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| 77 | !! Reference : |
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| 78 | !! Marchesiello P., 1995, these de l'universite J. Fourier, Grenoble, France. |
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| 79 | !! History : |
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| 80 | !! ! 95-03 (J.-M. Molines) Original, SPEM |
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| 81 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
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| 82 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) F90 |
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| 83 | !!---------------------------------------------------------------------- |
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| 84 | !! * Arguments |
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| 85 | INTEGER, INTENT( in ) :: kt |
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| 86 | !!---------------------------------------------------------------------- |
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| 87 | |
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| 88 | ! 0. Local constant initialization |
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| 89 | ! -------------------------------- |
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| 90 | |
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| 91 | IF( kt == nit000 .OR. ln_rstart ) THEN |
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| 92 | ! ... Boundary restoring coefficient |
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| 93 | rtaue = 2. * rdt / rdpeob |
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| 94 | rtauw = 2. * rdt / rdpwob |
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| 95 | rtaun = 2. * rdt / rdpnob |
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| 96 | rtaus = 2. * rdt / rdpsob |
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| 97 | ! ... Boundary restoring coefficient for inflow ( all boundaries) |
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| 98 | rtauein = 2. * rdt / rdpein |
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| 99 | rtauwin = 2. * rdt / rdpwin |
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| 100 | rtaunin = 2. * rdt / rdpnin |
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| 101 | rtausin = 2. * rdt / rdpsin |
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| 102 | END IF |
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| 103 | |
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| 104 | ! ... right hand side of the barotropic elliptic equation |
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| 105 | gcbob(:,:) = 0.e0 |
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| 106 | |
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| 107 | ! 1. Isolated coastline contribution to the RHS of the barotropic Eq. |
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| 108 | ! ------------------------------------------------------------------- |
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| 109 | DO jnic = 1, nbobc-1 |
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| 110 | DO jj = 1, jpj |
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| 111 | DO ji = 1, jpi |
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| 112 | gcbob(ji,jj) = gcbob(ji,jj) + gcfobc(ji,jj,jnic) * gcbic(jnic) |
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| 113 | END DO |
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| 114 | END DO |
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| 115 | END DO |
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| 116 | |
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| 117 | ! 2. East open boundary |
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| 118 | ! --------------------- |
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| 119 | |
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| 120 | IF( lpeastobc ) THEN |
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| 121 | CALL obc_spg_east( kt ) |
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| 122 | END IF |
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| 123 | |
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| 124 | ! 3. West open boundary |
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| 125 | ! --------------------- |
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| 126 | |
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| 127 | IF( lpwestobc ) THEN |
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| 128 | CALL obc_spg_west( kt ) |
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| 129 | END IF |
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| 130 | |
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| 131 | ! 4. North open boundary |
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| 132 | ! ---------------------- |
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| 133 | |
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| 134 | IF( lpnorthobc ) THEN |
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| 135 | CALL obc_spg_north( kt ) |
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| 136 | END IF |
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| 137 | |
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| 138 | ! 5. South open boundary |
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| 139 | ! ---------------------- |
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| 140 | |
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| 141 | IF( lpsouthobc ) THEN |
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| 142 | CALL obc_spg_south( kt ) |
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| 143 | END IF |
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| 144 | |
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| 145 | # if defined key_mpp |
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| 146 | CALL mpp_lnk_2d( gcbob, 'G', 1. ) |
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| 147 | # endif |
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| 148 | |
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| 149 | END SUBROUTINE obc_spg |
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| 150 | |
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| 151 | SUBROUTINE obc_spg_east ( kt ) |
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| 152 | !!------------------------------------------------------------------------------ |
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| 153 | !! SUBROUTINE obc_spg_east |
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| 154 | !! ************************* |
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| 155 | !! ** Purpose : |
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| 156 | !! Apply the radiation algorithm on east OBC stream function. |
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| 157 | !! If the logical lfbceast is .TRUE., there is no radiation but only fixed OBC |
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| 158 | !! |
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| 159 | !! History : |
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| 160 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
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| 161 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
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| 162 | !! ! 97-12 (M. Imbard) Mpp adaptation |
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| 163 | !! ! 00-06 (J.-M. Molines) |
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| 164 | !! 8.5 ! 02-10 (C. Talandier, A-M Treguier) F90 |
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| 165 | !!------------------------------------------------------------------------------ |
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| 166 | !! * Arguments |
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| 167 | INTEGER, INTENT( in ) :: kt |
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| 168 | |
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| 169 | !! * Local declarations |
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| 170 | INTEGER :: ij |
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| 171 | |
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| 172 | REAL(wp) :: z2dtr, ztau, zin |
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| 173 | REAL(wp) :: z05cx, zdt, z4nor2, z2dx, z2dy |
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| 174 | |
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| 175 | !!------------------------------------------------------------------------------ |
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| 176 | !! OPA 8.5, LODYC-IPSL (2002) |
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| 177 | !!------------------------------------------------------------------------------ |
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| 178 | |
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| 179 | ! 1. First three time steps and more if lfbceast is .TRUE. |
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| 180 | ! In that case open boundary conditions are FIXED. |
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| 181 | ! -------------------------------------------------------- |
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| 182 | |
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| 183 | IF( ( kt < nit000 + 3 .AND. .NOT.ln_rstart) .OR. lfbceast ) THEN |
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| 184 | |
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| 185 | ! 1.1 Fixed barotropic stream function |
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| 186 | ! ------------------------------------ |
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| 187 | DO jj = nje0m1, nje1 |
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| 188 | ij = jj -1 + njmpp |
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| 189 | bsfeob(jj)=bfoe(ij) |
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| 190 | END DO |
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| 191 | |
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| 192 | ELSE |
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| 193 | |
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| 194 | ! 2. Beyond the fourth time step if lfbceast is .FALSE. |
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| 195 | ! ----------------------------------------------------- |
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| 196 | |
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| 197 | ! 2.1. Barotropic stream function radiation |
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| 198 | ! ---------------------------------------- |
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| 199 | ! |
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| 200 | ! nibm2 nibm nib |
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| 201 | ! | nibm | nib |/// |
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| 202 | ! | | | | |/// |
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| 203 | ! jj-line --f----v----f----v----f--- |
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| 204 | ! | | |/// |
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| 205 | ! | | | | |/// |
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| 206 | ! jpieob-2 jpieob-1 jpieob |
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| 207 | ! | | |
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| 208 | ! jpieob-1 jpieob |
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| 209 | ! |
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| 210 | ! ... radiative conditions plus restoring term toward climatology |
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| 211 | ! ... Initialize bsfeob to clim in any case, at the first step |
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| 212 | ! to ensure proper values at the ends of the open line. |
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| 213 | ! ... Take care that the j indices starts at nje0 (jpjed) and finish |
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| 214 | ! at nje1 (jpjef) to be sure that jpjefm1 and jpjef are set OK. |
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| 215 | DO ji = fs_nie0-1, fs_nie1-1 ! Vector opt. |
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| 216 | DO jj = nje0p1, nje1m2 |
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| 217 | ij = jj -1 + njmpp |
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| 218 | ! ... 2* gradi(bsf) (v-point i=nibm, time mean) |
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| 219 | z2dx = ( bebnd(jj,nibm ,nit) + bebnd(jj,nibm ,nitm2) - 2.*bebnd(jj,nibm2,nitm) ) & |
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| 220 | / e1v(ji,jj) |
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| 221 | ! ... 2* gradj(bsf) (f-point i=nibm, time nitm) |
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| 222 | z2dy = ( bebnd(jj+1,nibm,nitm) - bebnd(jj-1,nibm,nitm) ) / e2f(ji,jj) |
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| 223 | ! ... square of the norm of grad(bsf) |
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| 224 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
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| 225 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
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| 226 | zdt = bebnd(jj,nibm,nitm2) - bebnd(jj,nibm,nit) |
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| 227 | ! ... i-phase speed ratio (bounded by 1) and MASKED! |
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| 228 | IF( z4nor2 == 0 ) THEN |
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| 229 | IF(lwp) WRITE(numout,*)' PB dans obc_spg_east au pt ',jj,' : z4nor=0' |
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| 230 | z4nor2 = 0.001 |
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| 231 | END IF |
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| 232 | z05cx = zdt * z2dx / z4nor2 * bmask(ji,jj) |
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| 233 | z05cx = z05cx / e1v(ji+1,jj) |
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| 234 | z05cx = min( z05cx, 1. ) |
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| 235 | ! ... z05cx < 0, inflow zin=0, ztau=1 |
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| 236 | ! => 0, outflow zin=1, ztau=rtaue |
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| 237 | zin = sign( 1., z05cx ) |
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| 238 | zin = 0.5*( zin + abs(zin) ) |
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| 239 | ! ... Modification JM: We maintain a restoring term toward |
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| 240 | ! bsfb even in case of inflow |
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| 241 | ! But restoring is stronger when in flow (10 days) (ztau in set in obcspg.F) |
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| 242 | ztau = (1.-zin ) * rtauein + zin * rtaue |
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| 243 | z05cx = z05cx * zin |
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| 244 | ! ... update bsfn with radiative or climatological bsf (not mask!) |
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| 245 | bsfeob(jj) = ( ( 1. - z05cx - ztau ) * bebnd(jj,nib ,nitm) + 2.*z05cx & |
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| 246 | * bebnd(jj,nibm,nit) + ztau * bfoe (ij) ) & |
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| 247 | / (1. + z05cx) |
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| 248 | END DO |
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| 249 | END DO |
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| 250 | |
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| 251 | END IF |
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| 252 | # if defined key_mpp |
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| 253 | CALL mppobc(bsfeob,jpjed,jpjef,jpieob-1,1,2,jpj) |
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| 254 | # endif |
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| 255 | |
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| 256 | ! 3. right hand side of the barotropic elliptic equation |
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| 257 | ! ------------------------------------------------------ |
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| 258 | |
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| 259 | IF( ( neuler == 0 ) .AND. ( kt == nit000 ) ) THEN |
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| 260 | z2dtr=1./rdt |
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| 261 | ELSE |
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| 262 | z2dtr=1./2./rdt |
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| 263 | END IF |
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| 264 | DO ji = fs_nie0-1, fs_nie1-1 ! Vector opt. |
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| 265 | DO jj = nje0m1, nje1 |
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| 266 | gcbob(ji,jj) = gcbob(ji,jj) - hvr(ji+1,jj) * e2v(ji+1,jj) / e1v(ji+1,jj) & |
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| 267 | * ( bsfeob(jj) - bsfb(ji+1,jj) ) * z2dtr * bmask(ji,jj) |
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| 268 | END DO |
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| 269 | END DO |
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| 270 | |
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| 271 | END SUBROUTINE obc_spg_east |
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| 272 | |
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| 273 | SUBROUTINE obc_spg_west ( kt ) |
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| 274 | !!------------------------------------------------------------------------------ |
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| 275 | !! SUBROUTINE obc_spg_west |
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| 276 | !! ************************* |
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| 277 | !! ** Purpose : |
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| 278 | !! Apply the radiation algorithm on west OBC stream function. |
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| 279 | !! If the logical lfbcwest is .TRUE., there is no radiation but only fixed OBC |
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| 280 | !! |
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| 281 | !! History : |
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| 282 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
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| 283 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
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| 284 | !! ! 97-12 (M. Imbard) Mpp adaptation |
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| 285 | !! ! 00-06 (J.-M. Molines) |
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| 286 | !! 8.5 ! 02-10 (C. Talandier, A-M Treguier) F90 |
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| 287 | !!------------------------------------------------------------------------------ |
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| 288 | !! * Arguments |
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| 289 | INTEGER, INTENT( in ) :: kt |
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| 290 | |
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| 291 | !! * Local declarations |
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| 292 | INTEGER :: ij |
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| 293 | |
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| 294 | REAL(wp) :: z2dtr, ztau, zin |
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| 295 | REAL(wp) :: z05cx, zdt, z4nor2, z2dx, z2dy |
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| 296 | |
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| 297 | !!------------------------------------------------------------------------------ |
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| 298 | !! OPA 8.5, LODYC-IPSL (2002) |
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| 299 | !!------------------------------------------------------------------------------ |
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| 300 | |
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| 301 | ! 1. First three time steps and more if lfbcwest is .TRUE. |
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| 302 | ! In that case open boundary conditions are FIXED. |
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| 303 | ! -------------------------------------------------------- |
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| 304 | |
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| 305 | IF( ( kt < nit000 + 3 .AND. .NOT.ln_rstart ) .OR. lfbcwest ) THEN |
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| 306 | |
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| 307 | ! 1.1 Fixed barotropic stream function |
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| 308 | ! ------------------------------------ |
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| 309 | DO jj = njw0m1, njw1 |
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| 310 | ij = jj -1 + njmpp |
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| 311 | bsfwob(jj)=bfow(ij) |
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| 312 | END DO |
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| 313 | |
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| 314 | ELSE |
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| 315 | |
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| 316 | ! 2. Beyond the fourth time step if lfbcwest is .FALSE. |
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| 317 | ! ----------------------------------------------------- |
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| 318 | |
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| 319 | ! 2.1. Barotropic stream function radiation |
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| 320 | ! ---------------------------------------- |
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| 321 | ! |
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| 322 | ! nib nibm nibm2 |
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| 323 | ! ///| nib | nibm | |
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| 324 | ! ///| | | | | |
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| 325 | ! ---f----v----f----v----f-- jj-line |
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| 326 | ! ///| | | |
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| 327 | ! ///| | | | | |
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| 328 | ! jpiwob jpiwob+1 jpiwob+2 |
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| 329 | ! | | |
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| 330 | ! jpiwob+1 jpiwob+2 |
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| 331 | ! |
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| 332 | ! ... radiative conditions plus restoring term toward climatology |
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| 333 | ! ... Initialize bsfwob to clim in any case, at the first step |
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| 334 | ! to ensure proper values at the ends of the open line. |
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| 335 | ! ... Take care that the j indices starts at njw0 (jpjwd) and finish |
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| 336 | ! ... at njw1 (jpjwf) to be sure that jpjwfm1 and jpjwf are set OK. |
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| 337 | DO ji = fs_niw0+1, fs_niw1+1 ! Vector opt. |
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| 338 | DO jj = njw0p1, njw1m2 |
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| 339 | ij = jj -1 + njmpp |
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| 340 | ! ... 2* gradi(bsf) (v-point i=nibm, time mean) |
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| 341 | z2dx = ( - bwbnd(jj,nibm ,nit ) - bwbnd(jj,nibm ,nitm2) + 2.*bwbnd(jj,nibm2,nitm ) ) & |
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| 342 | / e1v(ji+1,jj) |
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| 343 | ! ... 2* gradj(bsf) (f-point i=nibm, time nitm) |
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| 344 | z2dy = ( bwbnd(jj+1,nibm,nitm) - bwbnd(jj-1,nibm,nitm) ) / e2f(ji,jj) |
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| 345 | ! ... square of the norm of grad(bsf) |
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| 346 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
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| 347 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
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| 348 | zdt = bwbnd(jj,nibm,nitm2) - bwbnd(jj,nibm,nit) |
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| 349 | ! ... i-phase speed ratio (bounded by 1) and MASKED! |
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| 350 | IF( z4nor2 == 0 ) THEN |
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| 351 | IF(lwp) WRITE(numout,*)' PB dans obc_spg_west au pt ',jj,' : z4nor =0' |
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| 352 | z4nor2=0.0001 |
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| 353 | END IF |
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| 354 | z05cx = zdt * z2dx / z4nor2 * bmask(ji,jj) |
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| 355 | z05cx = z05cx / e1v(ji,jj) |
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| 356 | z05cx = max( z05cx, -1. ) |
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| 357 | ! ... z05cx => 0, inflow zin=0, ztau=1 |
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| 358 | ! < 0, outflow zin=1, ztau=rtauw |
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| 359 | zin = sign( 1., -1. * z05cx ) |
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| 360 | zin = 0.5*( zin + abs(zin) ) |
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| 361 | ztau = (1.-zin )*rtauwin + zin * rtauw |
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| 362 | z05cx = z05cx * zin |
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| 363 | ! ... update bsfn with radiative or climatological bsf (not mask!) |
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| 364 | bsfwob(jj) = ( ( 1. + z05cx - ztau ) * bwbnd(jj,nib ,nitm) - 2.*z05cx & |
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| 365 | * bwbnd(jj,nibm,nit) + ztau * bfow (ij) ) & |
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| 366 | / (1. - z05cx) |
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| 367 | END DO |
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| 368 | END DO |
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| 369 | |
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| 370 | END IF |
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| 371 | # if defined key_mpp |
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| 372 | CALL mppobc(bsfwob,jpjwd,jpjwf,jpiwob+1,1,2,jpj) |
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| 373 | # endif |
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| 374 | |
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| 375 | ! 3. right hand side of the barotropic elliptic equation |
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| 376 | ! ------------------------------------------------------- |
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| 377 | |
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| 378 | IF( ( neuler == 0 ) .AND. ( kt == nit000 ) ) THEN |
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| 379 | z2dtr=1./rdt |
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| 380 | ELSE |
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| 381 | z2dtr=1./2./rdt |
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| 382 | END IF |
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| 383 | DO ji = fs_niw0+1, fs_niw1+1 ! Vector opt. |
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| 384 | DO jj = njw0m1, njw1 |
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| 385 | gcbob(ji,jj) = gcbob(ji,jj) - hvr(ji,jj) * e2v(ji,jj) / e1v(ji,jj) & |
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| 386 | * ( bsfwob(jj) - bsfb(ji-1,jj) ) * z2dtr * bmask(ji,jj) |
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| 387 | END DO |
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| 388 | END DO |
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| 389 | |
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| 390 | END SUBROUTINE obc_spg_west |
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| 391 | |
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| 392 | SUBROUTINE obc_spg_north ( kt ) |
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| 393 | !!------------------------------------------------------------------------------ |
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| 394 | !! SUBROUTINE obc_spg_north |
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| 395 | !! ************************* |
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| 396 | !! ** Purpose : |
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| 397 | !! Apply the radiation algorithm on north OBC stream function. |
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| 398 | !! If the logical lfbcnorth is .TRUE., there is no radiation but only fixed OBC |
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| 399 | !! |
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| 400 | !! History : |
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| 401 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
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| 402 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
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| 403 | !! ! 97-12 (M. Imbard) Mpp adaptation |
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| 404 | !! ! 00-06 (J.-M. Molines) |
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| 405 | !! 8.5 ! 02-10 (C. Talandier, A-M Treguier) F90 |
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| 406 | !!------------------------------------------------------------------------------ |
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| 407 | !! * Arguments |
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| 408 | INTEGER, INTENT( in ) :: kt |
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| 409 | |
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| 410 | !! * Local declarations |
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| 411 | INTEGER :: ii |
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| 412 | |
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| 413 | REAL(wp) :: z2dtr, ztau, zin |
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| 414 | REAL(wp) :: z05cx, zdt, z4nor2, z2dx, z2dy |
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| 415 | |
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| 416 | !!------------------------------------------------------------------------------ |
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| 417 | !! OPA 8.5, LODYC-IPSL (2002) |
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| 418 | !!------------------------------------------------------------------------------ |
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| 419 | |
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| 420 | ! 1. First three time steps and more if lfbcnorth is .TRUE. |
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| 421 | ! In that case open boundary conditions are FIXED. |
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| 422 | ! -------------------------------------------------------- |
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| 423 | |
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| 424 | IF( ( kt < nit000 + 3 .AND. .NOT.ln_rstart ) .OR. lfbcnorth ) THEN |
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| 425 | |
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| 426 | ! 1.1 Fixed barotropic stream function |
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| 427 | ! ------------------------------------ |
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| 428 | DO ji = nin0m1, nin1 |
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| 429 | ii = ji -1 + nimpp |
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| 430 | bsfnob(ji)=bfon(ii) |
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| 431 | END DO |
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| 432 | |
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| 433 | ELSE |
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| 434 | |
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| 435 | ! 2. Beyond the fourth time step if lfbcnorth is .FALSE. |
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| 436 | ! ----------------------------------------------------- |
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| 437 | |
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| 438 | ! 2.1. Barotropic stream function radiation |
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| 439 | ! ----------------------------------------- |
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| 440 | ! |
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| 441 | ! ji-row |
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| 442 | ! | |
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| 443 | ! //////////// |
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| 444 | ! //////////// |
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| 445 | ! nib -----f------ jpjnob |
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| 446 | ! | |
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| 447 | ! nib-- u ---- jpjnob |
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| 448 | ! | |
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| 449 | ! nibm -----f----- jpjnob-1 |
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| 450 | ! | |
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| 451 | ! nibm-- u ---- jpjnob-1 |
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| 452 | ! | |
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| 453 | ! nibm2 -----f----- jpjnob-2 |
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| 454 | ! | |
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| 455 | ! |
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| 456 | ! ... radiative conditions plus restoring term toward climatology |
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| 457 | ! ... z05cx is always the cross boundary phase velocity |
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| 458 | ! ... Initialize bsfnob to clim in any case, at the first step |
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| 459 | ! to ensure proper values at the ends of the open line. |
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| 460 | ! ... Take care that the i indices starts at nin0 (jpind) and finish |
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| 461 | ! ... at nin1 (jpinf) to be sure that jpinfm1 and jpinf are set OK. |
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| 462 | DO jj = fs_njn0-1, fs_njn1-1 ! Vector opt. |
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| 463 | DO ji = nin0p1, nin1m2 |
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| 464 | ii = ji -1 + nimpp |
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| 465 | ! ... 2* gradj(bsf) (u-point i=nibm, time mean) |
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| 466 | z2dx = ( bnbnd(ji,nibm ,nit) + bnbnd(ji,nibm ,nitm2) - 2.*bnbnd(ji,nibm2,nitm) ) & |
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| 467 | / e2u(ji,jj) |
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| 468 | ! ... 2* gradi(bsf) (f-point i=nibm, time nitm) |
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| 469 | z2dy = ( bnbnd(ji+1,nibm,nitm) - bnbnd(ji-1,nibm,nitm) ) / e1f(ji,jj) |
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| 470 | ! ... square of the norm of grad(bsf) |
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| 471 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
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| 472 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
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| 473 | zdt = bnbnd(ji,nibm,nitm2) - bnbnd(ji,nibm,nit) |
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| 474 | ! ... j-phase speed ratio (bounded by 1) and MASKED! |
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| 475 | IF( z4nor2 == 0 ) THEN |
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| 476 | IF(lwp) WRITE(numout,*)' PB dans obc_spg_north au pt',ji,' : z4nor =0' |
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| 477 | END IF |
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| 478 | z05cx = zdt * z2dx / z4nor2 * bmask(ji,jj) |
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| 479 | z05cx = z05cx / e2u(ji,jj+1) |
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| 480 | z05cx = min( z05cx, 1. ) |
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| 481 | ! ... z05cx < 0, inflow zin=0, ztau=1 |
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| 482 | ! => 0, outflow zin=1, ztau=rtaun |
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| 483 | zin = sign( 1., z05cx ) |
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| 484 | zin = 0.5*( zin + abs(zin) ) |
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| 485 | ztau = (1.-zin ) * rtaunin + zin * rtaun |
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| 486 | z05cx = z05cx * zin |
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| 487 | ! ... update bsfn with radiative or climatological bsf (not mask!) |
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| 488 | bsfnob(ji) = ( ( 1. - z05cx - ztau ) * bnbnd(ji,nib ,nitm) + 2.*z05cx & |
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| 489 | * bnbnd(ji,nibm,nit) + ztau * bfon (ii) ) & |
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| 490 | / (1. + z05cx) |
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| 491 | END DO |
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| 492 | END DO |
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| 493 | |
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| 494 | END IF |
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| 495 | # if defined key_mpp |
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| 496 | call mppobc(bsfnob,jpind,jpinf,jpjnob-1,1,1,jpi) |
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| 497 | # endif |
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| 498 | |
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| 499 | ! 3. right hand side of the barotropic elliptic equation |
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| 500 | !------------------------------------------------------- |
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| 501 | |
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| 502 | IF( ( neuler == 0 ) .AND. ( kt == nit000 ) ) THEN |
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| 503 | z2dtr=1./rdt |
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| 504 | ELSE |
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| 505 | z2dtr=1./2./rdt |
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| 506 | END IF |
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| 507 | DO jj = fs_njn0-1, fs_njn1-1 ! Vector opt. |
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| 508 | DO ji = nin0m1, nin1 |
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| 509 | gcbob(ji,jj) = gcbob(ji,jj) - hur(ji,jj+1) * e1u(ji,jj+1) / e2u(ji,jj+1) & |
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| 510 | * ( bsfnob(ji) - bsfb(ji,jj+1) ) * z2dtr * bmask(ji,jj) |
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| 511 | END DO |
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| 512 | END DO |
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| 513 | |
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| 514 | END SUBROUTINE obc_spg_north |
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| 515 | |
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| 516 | SUBROUTINE obc_spg_south ( kt ) |
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| 517 | !!------------------------------------------------------------------------------ |
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| 518 | !! SUBROUTINE obc_spg_south |
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| 519 | !! ************************* |
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| 520 | !! ** Purpose : |
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| 521 | !! Apply the radiation algorithm on south OBC stream function. |
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| 522 | !! If the logical lfbcsouth is .TRUE., there is no radiation but only fixed OBC |
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| 523 | !! |
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| 524 | !! History : |
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| 525 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
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| 526 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
|---|
| 527 | !! ! 97-12 (M. Imbard) Mpp adaptation |
|---|
| 528 | !! ! 00-06 (J.-M. Molines) |
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| 529 | !! 8.5 ! 02-10 (C. Talandier, A-M Treguier) F90 |
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| 530 | !!------------------------------------------------------------------------------ |
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| 531 | !! * Arguments |
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| 532 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 533 | |
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| 534 | !! * Local declarations |
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| 535 | INTEGER :: ii ! temporary integers |
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| 536 | REAL(wp) :: & |
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| 537 | z2dtr, ztau, zin , & ! temporary scalars |
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| 538 | z05cx, zdt , z4nor2, & ! " " |
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| 539 | z2dx , z2dy ! " " |
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| 540 | !!------------------------------------------------------------------------------ |
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| 541 | |
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| 542 | ! 1. First three time steps and more if lfbcsouth is .TRUE. |
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| 543 | ! In that case open boundary conditions are FIXED. |
|---|
| 544 | ! -------------------------------------------------------- |
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| 545 | |
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| 546 | IF( ( kt < nit000 + 3 .AND. .NOT.ln_rstart ) .OR. lfbcsouth ) THEN |
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| 547 | |
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| 548 | ! 1.1 Fixed barotropic stream function |
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| 549 | ! ------------------------------------ |
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| 550 | DO ji = nis0m1, nis1 |
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| 551 | ii = ji -1 + nimpp |
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| 552 | bsfsob(ji)=bfos(ii) |
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| 553 | END DO |
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| 554 | |
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| 555 | ELSE |
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| 556 | |
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| 557 | ! 2. Beyond the fourth time step if lfbcsouth is .FALSE. |
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| 558 | ! ----------------------------------------------------- |
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| 559 | |
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| 560 | ! 2.1. Barotropic stream function radiation |
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| 561 | ! ----------------------------------------- |
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| 562 | ! |
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| 563 | ! ji-row |
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| 564 | ! | |
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| 565 | ! nibm2 -----f------ jpjsob + 2 |
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| 566 | ! | |
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| 567 | ! nibm -- u ----- jpjsob + 2 |
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| 568 | ! | |
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| 569 | ! nibm -----f----- jpjsob + 1 |
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| 570 | ! | |
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| 571 | ! nib -- u ----- jpjsob + 1 |
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| 572 | ! | |
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| 573 | ! nib -----f----- jpjsob |
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| 574 | ! /////////// |
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| 575 | ! /////////// |
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| 576 | ! |
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| 577 | ! ... radiative conditions plus restoring term toward climatology |
|---|
| 578 | ! ... z05cx is always the cross boundary phase velocity |
|---|
| 579 | ! ... Initialize bsfsob to clim in any case, at the first step |
|---|
| 580 | ! to ensure proper values at the ends of the open line. |
|---|
| 581 | ! ... Take care that the i indices starts at nis0 (jpisd) and finish |
|---|
| 582 | ! ... at nis1 (jpisf) to be sure that jpisfm1 and jpisf are set OK. |
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| 583 | DO jj = fs_njs0+1, fs_njs1+1 ! Vector opt. |
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| 584 | DO ji = nis0p1, nis1m2 |
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| 585 | ii = ji -1 + nimpp |
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| 586 | ! ... 2* gradj(bsf) (u-point i=nibm, time mean) |
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| 587 | z2dx = ( - bsbnd(ji,nibm ,nit) - bsbnd(ji,nibm ,nitm2) + 2.*bsbnd(ji,nibm2,nitm) ) & |
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| 588 | / e2u(ji,jj+1) |
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| 589 | ! ... 2* gradi(bsf) (f-point i=nibm, time nitm) |
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| 590 | z2dy = ( bsbnd(ji+1,nibm,nitm) - bsbnd(ji-1,nibm,nitm) ) / e1f(ji,jj) |
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| 591 | ! ... square of the norm of grad(bsf) |
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| 592 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
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| 593 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
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| 594 | zdt = bsbnd(ji,nibm,nitm2) - bsbnd(ji,nibm,nit) |
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| 595 | ! ... j-phase speed ratio (bounded by -1) and MASKED! |
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| 596 | IF( z4nor2 == 0 ) THEN |
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| 597 | IF(lwp) WRITE(numout,*)' PB dans obc_spg_south au pt ',ji,' : z4nor =0' |
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| 598 | END IF |
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| 599 | z05cx = zdt * z2dx / z4nor2 * bmask(ji,jj) |
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| 600 | z05cx = z05cx / e2u(ji,jj) |
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| 601 | z05cx = max( z05cx, -1. ) |
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| 602 | ! ... z05cx => 0, inflow zin=0, ztau=1 |
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| 603 | ! < 0, outflow zin=1, ztau=rtaus |
|---|
| 604 | zin = sign( 1., -1. * z05cx ) |
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| 605 | zin = 0.5*( zin + abs(zin) ) |
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| 606 | ztau = (1.-zin ) *rtausin + zin * rtaus |
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| 607 | z05cx = z05cx * zin |
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| 608 | ! ... update bsfn with radiative or climatological bsf (not mask!) |
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| 609 | bsfsob(ji) = ( ( 1. + z05cx - ztau ) * bsbnd(ji,nib ,nitm) - 2.*z05cx & |
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| 610 | * bsbnd(ji,nibm,nit) + ztau * bfos (ii) ) & |
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| 611 | / (1. - z05cx) |
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| 612 | END DO |
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| 613 | END DO |
|---|
| 614 | |
|---|
| 615 | END IF |
|---|
| 616 | # if defined key_mpp |
|---|
| 617 | CALL mppobc(bsfsob,jpisd,jpisf,jpjsob+1,1,1,jpi) |
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| 618 | # endif |
|---|
| 619 | |
|---|
| 620 | ! 3. right hand side of the barotropic elliptic equation |
|---|
| 621 | ! ------------------------------------------------------- |
|---|
| 622 | |
|---|
| 623 | IF( ( neuler == 0 ) .and. ( kt == nit000 ) ) THEN |
|---|
| 624 | z2dtr=1./rdt |
|---|
| 625 | ELSE |
|---|
| 626 | z2dtr=1./2./rdt |
|---|
| 627 | END IF |
|---|
| 628 | DO jj = fs_njs0+1, fs_njs1+1 ! Vector opt. |
|---|
| 629 | DO ji = nis0m1, nis1 |
|---|
| 630 | gcbob(ji,jj) = gcbob(ji,jj) - hur(ji,jj) * e1u(ji,jj) / e2u(ji,jj) & |
|---|
| 631 | * ( bsfsob(ji) - bsfb(ji,jj-1) ) * z2dtr * bmask(ji,jj) |
|---|
| 632 | END DO |
|---|
| 633 | END DO |
|---|
| 634 | |
|---|
| 635 | END SUBROUTINE obc_spg_south |
|---|
| 636 | |
|---|
| 637 | #else |
|---|
| 638 | !!---------------------------------------------------------------------- |
|---|
| 639 | !! Default case : Empty module |
|---|
| 640 | !!---------------------------------------------------------------------- |
|---|
| 641 | CONTAINS |
|---|
| 642 | SUBROUTINE obc_spg( kt ) ! Empty routine |
|---|
| 643 | INTEGER, INTENT( in ) :: kt |
|---|
| 644 | WRITE(*,*) kt |
|---|
| 645 | END SUBROUTINE obc_spg |
|---|
| 646 | #endif |
|---|
| 647 | |
|---|
| 648 | !!====================================================================== |
|---|
| 649 | END MODULE obcspg |
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