| 1 | MODULE obcdyn |
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| 2 | #if defined key_obc |
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| 3 | !!================================================================================= |
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| 4 | !! *** MODULE obcdyn *** |
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| 5 | !! Ocean dynamics: Radiation of velocities on each open boundary |
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| 6 | !!================================================================================= |
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| 7 | |
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| 8 | !!--------------------------------------------------------------------------------- |
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| 9 | !! obc_dyn : call the subroutine for each open boundary |
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| 10 | !! obc_dyn_east : radiation of the east open boundary velocities |
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| 11 | !! obc_dyn_west : radiation of the west open boundary velocities |
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| 12 | !! obc_dyn_north : radiation of the north open boundary velocities |
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| 13 | !! obc_dyn_south : radiation of the south open boundary velocities |
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| 14 | !!---------------------------------------------------------------------------------- |
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| 15 | |
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| 16 | !!---------------------------------------------------------------------------------- |
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| 17 | !! * Modules used |
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| 18 | USE oce ! ocean dynamics and tracers |
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| 19 | USE dom_oce ! ocean space and time domain |
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| 20 | USE phycst ! physical constants |
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| 21 | USE obc_oce ! ocean open boundary conditions |
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| 22 | USE lbclnk ! ??? |
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| 23 | USE lib_mpp ! ??? |
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| 24 | USE obccli ! ocean open boundary conditions: climatology |
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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_dyn ! routine called in dynspg_fsc (free surface case) |
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| 32 | ! routine called in dynnxt.F90 (rigid lid case) |
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| 33 | |
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| 34 | !! * Module variables |
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| 35 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 36 | |
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| 37 | INTEGER :: & ! ... boundary space indices |
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| 38 | nib = 1, & ! nib = boundary point |
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| 39 | nibm = 2, & ! nibm = 1st interior point |
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| 40 | nibm2 = 3, & ! nibm2 = 2nd interior point |
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| 41 | ! ... boundary time indices |
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| 42 | nit = 1, & ! nit = now |
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| 43 | nitm = 2, & ! nitm = before |
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| 44 | nitm2 = 3 ! nitm2 = before-before |
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| 45 | |
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| 46 | REAL(wp) :: rtaue , rtauw , rtaun , rtaus , & |
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| 47 | rtauein, rtauwin, rtaunin, rtausin |
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| 48 | |
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| 49 | !!--------------------------------------------------------------------------------- |
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| 50 | |
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| 51 | CONTAINS |
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| 52 | |
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| 53 | SUBROUTINE obc_dyn ( kt ) |
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| 54 | !!------------------------------------------------------------------------------ |
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| 55 | !! SUBROUTINE obc_dyn |
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| 56 | !! ******************** |
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| 57 | !! ** Purpose : |
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| 58 | !! Compute dynamics (u,v) at the open boundaries. |
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| 59 | !! if defined key_dynspg_fsc: |
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| 60 | !! this routine is called by dynspg_fsc and updates |
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| 61 | !! ua, va which are the actual velocities (not trends) |
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| 62 | !! else (rigid lid case) , |
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| 63 | !! this routine is called in dynnxt.F routine and updates ua, va. |
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| 64 | !! |
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| 65 | !! The logical variable lpeastobc, and/or lpwestobc, and/or lpnorthobc, |
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| 66 | !! and/or lpsouthobc allow the user to determine which boundary is an |
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| 67 | !! open one (must be done in the param_obc.h90 file). |
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| 68 | !! |
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| 69 | !! ** Reference : |
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| 70 | !! Marchesiello P., 1995, these de l'universite J. Fourier, Grenoble, France. |
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| 71 | !! |
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| 72 | !! History : |
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| 73 | !! ! 95-03 (J.-M. Molines) Original, SPEM |
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| 74 | !! ! 97-07 (G. Madec, J.-M. Molines) addition |
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| 75 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
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| 76 | !!---------------------------------------------------------------------- |
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| 77 | !! * Arguments |
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| 78 | INTEGER, INTENT( in ) :: kt |
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| 79 | |
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| 80 | !!---------------------------------------------------------------------- |
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| 81 | !! OPA 8.5, LODYC-IPSL (2002) |
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| 82 | !!---------------------------------------------------------------------- |
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| 83 | |
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| 84 | ! 0. Local constant initialization |
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| 85 | ! -------------------------------- |
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| 86 | |
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| 87 | IF( kt == nit000 .OR. ln_rstart) THEN |
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| 88 | ! ... Boundary restoring coefficient |
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| 89 | rtaue = 2. * rdt / rdpeob |
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| 90 | rtauw = 2. * rdt / rdpwob |
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| 91 | rtaun = 2. * rdt / rdpnob |
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| 92 | rtaus = 2. * rdt / rdpsob |
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| 93 | ! ... Boundary restoring coefficient for inflow ( all boundaries) |
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| 94 | rtauein = 2. * rdt / rdpein |
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| 95 | rtauwin = 2. * rdt / rdpwin |
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| 96 | rtaunin = 2. * rdt / rdpnin |
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| 97 | rtausin = 2. * rdt / rdpsin |
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| 98 | END IF |
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| 99 | |
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| 100 | ! 1. East open boundary |
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| 101 | ! --------------------- |
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| 102 | |
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| 103 | IF( lpeastobc )THEN |
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| 104 | CALL obc_dyn_east( kt ) |
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| 105 | END IF |
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| 106 | |
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| 107 | ! 2. West open boundary |
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| 108 | ! --------------------- |
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| 109 | |
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| 110 | IF( lpwestobc )THEN |
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| 111 | CALL obc_dyn_west( kt ) |
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| 112 | END IF |
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| 113 | |
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| 114 | ! 3. North open boundary |
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| 115 | ! ---------------------- |
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| 116 | |
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| 117 | IF( lpnorthobc )THEN |
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| 118 | CALL obc_dyn_north( kt ) |
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| 119 | END IF |
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| 120 | |
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| 121 | ! 4. South open boundary |
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| 122 | ! ---------------------- |
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| 123 | |
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| 124 | IF( lpsouthobc )THEN |
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| 125 | CALL obc_dyn_south( kt ) |
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| 126 | END IF |
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| 127 | |
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| 128 | IF( lk_mpp ) THEN |
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| 129 | IF( kt >= nit000+3 .AND. ln_rstart ) THEN |
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| 130 | CALL lbc_lnk( ub, 'U', -1. ) |
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| 131 | CALL lbc_lnk( vb, 'V', -1. ) |
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| 132 | END IF |
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| 133 | CALL lbc_lnk( ua, 'U', -1. ) |
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| 134 | CALL lbc_lnk( va, 'V', -1. ) |
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| 135 | ENDIF |
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| 136 | |
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| 137 | END SUBROUTINE obc_dyn |
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| 138 | |
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| 139 | |
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| 140 | SUBROUTINE obc_dyn_east ( kt ) |
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| 141 | !!------------------------------------------------------------------------------ |
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| 142 | !! *** SUBROUTINE obc_dyn_east *** |
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| 143 | !! |
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| 144 | !! ** Purpose : |
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| 145 | !! Apply the radiation algorithm on east OBC velocities ua, va using the |
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| 146 | !! phase velocities calculated in obc_rad_east subroutine in obcrad.F90 module |
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| 147 | !! If the logical lfbceast is .TRUE., there is no radiation but only fixed OBC |
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| 148 | !! |
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| 149 | !! History : |
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| 150 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
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| 151 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
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| 152 | !! ! 97-12 (M. Imbard) Mpp adaptation |
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| 153 | !! ! 00-06 (J.-M. Molines) |
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| 154 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
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| 155 | !!------------------------------------------------------------------------------ |
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| 156 | !! * Arguments |
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| 157 | INTEGER, INTENT( in ) :: kt |
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| 158 | |
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| 159 | !! * Local declaration |
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| 160 | REAL(wp) :: z05cx, ztau, zin |
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| 161 | !!------------------------------------------------------------------------------ |
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| 162 | |
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| 163 | ! 1. First three time steps and more if lfbceast is .TRUE. |
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| 164 | ! In that case open boundary conditions are FIXED. |
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| 165 | ! -------------------------------------------------------- |
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| 166 | |
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| 167 | IF( ( kt < nit000+3 .AND. .NOT.ln_rstart ) .OR. lfbceast ) THEN |
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| 168 | |
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| 169 | ! 1.1 U zonal velocity |
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| 170 | ! -------------------- |
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| 171 | DO ji = nie0, nie1 |
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| 172 | DO jk = 1, jpkm1 |
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| 173 | DO jj = 1, jpj |
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| 174 | # if defined key_dynspg_fsc |
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| 175 | ua(ji,jj,jk) = ua(ji,jj,jk) * (1.-uemsk(jj,jk)) + & |
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| 176 | uemsk(jj,jk)*ufoe(jj,jk) |
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| 177 | # else |
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| 178 | ua(ji,jj,jk) = ua(ji,jj,jk) * (1.-uemsk(jj,jk)) + & |
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| 179 | uemsk(jj,jk)*( ufoe(jj,jk) - hur (ji,jj) / e2u (ji,jj) & |
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| 180 | * ( bsfn(ji,jj) - bsfn(ji,jj-1) ) ) |
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| 181 | # endif |
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| 182 | END DO |
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| 183 | END DO |
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| 184 | END DO |
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| 185 | |
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| 186 | ! 1.2 V meridional velocity |
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| 187 | ! ------------------------- |
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| 188 | DO ji = nie0+1, nie1+1 |
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| 189 | DO jk = 1, jpkm1 |
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| 190 | DO jj = 1, jpj |
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| 191 | va(ji,jj,jk) = va(ji,jj,jk) * (1.-vemsk(jj,jk)) + & |
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| 192 | vfoe(jj,jk)*vemsk(jj,jk) |
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| 193 | END DO |
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| 194 | END DO |
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| 195 | END DO |
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| 196 | |
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| 197 | ELSE |
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| 198 | |
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| 199 | ! 2. Beyond the fourth time step if lfbceast is .FALSE. |
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| 200 | ! ----------------------------------------------------- |
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| 201 | |
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| 202 | ! 2.1. u-component of the velocity |
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| 203 | ! --------------------------------- |
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| 204 | ! |
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| 205 | ! nibm2 nibm nib |
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| 206 | ! | nibm | nib |/// |
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| 207 | ! | | | | |/// |
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| 208 | ! jj-line --f----v----f----v----f--- |
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| 209 | ! | | | | |/// |
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| 210 | ! | | |/// |
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| 211 | ! jj-line u T u T u/// |
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| 212 | ! | | |/// |
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| 213 | ! | | | | |/// |
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| 214 | ! jpieob-2 jpieob-1 jpieob |
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| 215 | ! | | |
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| 216 | ! jpieob-1 jpieob |
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| 217 | ! |
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| 218 | ! ... If free surface formulation: |
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| 219 | ! ... radiative conditions on the total part + relaxation toward climatology |
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| 220 | ! ... (jpjedp1, jpjefm1),jpieob |
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| 221 | DO ji = nie0, nie1 |
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| 222 | DO jk = 1, jpkm1 |
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| 223 | DO jj = 1, jpj |
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| 224 | z05cx = u_cxebnd(jj,jk) |
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| 225 | z05cx = z05cx / e1t(ji,jj) |
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| 226 | z05cx = min( z05cx, 1. ) |
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| 227 | ! ... z05cx=< 0, inflow zin=0, ztau=1 |
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| 228 | ! > 0, outflow zin=1, ztau=rtaue |
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| 229 | zin = sign( 1., z05cx ) |
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| 230 | zin = 0.5*( zin + abs(zin) ) |
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| 231 | ! ... for inflow rtauein is used for relaxation coefficient else rtaue |
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| 232 | ztau = (1.-zin ) * rtauein + zin * rtaue |
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| 233 | z05cx = z05cx * zin |
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| 234 | ! ... update ua with radiative or climatological velocity |
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| 235 | ua(ji,jj,jk) = ua(ji,jj,jk) * ( 1. - uemsk(jj,jk) ) + & |
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| 236 | uemsk(jj,jk) * ( ( 1. - z05cx - ztau ) & |
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| 237 | * uebnd(jj,jk,nib ,nitm) + 2.*z05cx & |
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| 238 | * uebnd(jj,jk,nibm,nit ) + ztau * ufoe (jj,jk) ) & |
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| 239 | / (1. + z05cx) |
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| 240 | END DO |
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| 241 | END DO |
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| 242 | END DO |
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| 243 | # if ! defined key_dynspg_fsc |
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| 244 | ! ... ua must be a baroclinic velocity uclie() |
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| 245 | CALL obc_cli( ua, uclie, nie0, nie1, 0, jpj ) |
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| 246 | |
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| 247 | ! ... add the correct barotropic radiative velocity (calculated from bsfn) to the |
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| 248 | ! baroclinc velocity uclie() to have the total velocity |
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| 249 | DO ji = nie0, nie1 |
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| 250 | DO jk = 1, jpkm1 |
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| 251 | DO jj = 1, jpj |
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| 252 | ua(ji,jj,jk) = ua(ji,jj,jk) * ( 1. - uemsk(jj,jk) ) + & |
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| 253 | uemsk(jj,jk) * ( uclie(jj,jk) - hur (ji,jj) / e2u (ji,jj) & |
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| 254 | * ( bsfn(ji,jj) - bsfn(ji,jj-1) ) ) |
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| 255 | END DO |
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| 256 | END DO |
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| 257 | END DO |
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| 258 | # endif |
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| 259 | ! 2.2 v-component of the velocity |
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| 260 | ! ------------------------------- |
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| 261 | ! |
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| 262 | ! nibm2 nibm nib |
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| 263 | ! | nibm | nib///|/// |
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| 264 | ! | | | |////|/// |
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| 265 | ! jj-line --v----f----v----f----v--- |
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| 266 | ! | | | |////|/// |
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| 267 | ! | | | |////|/// |
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| 268 | ! | jpieob-1 | jpieob /|/// |
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| 269 | ! | | | |
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| 270 | ! jpieob-1 jpieob jpieob+1 |
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| 271 | ! |
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| 272 | ! ... radiative condition |
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| 273 | ! ... (jpjedp1, jpjefm1), jpieob+1 |
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| 274 | DO ji = nie0+1, nie1+1 |
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| 275 | DO jk = 1, jpkm1 |
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| 276 | DO jj = 1, jpj |
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| 277 | z05cx = v_cxebnd(jj,jk) |
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| 278 | z05cx = z05cx / e1f(ji-1,jj) |
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| 279 | z05cx = min( z05cx, 1. ) |
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| 280 | ! ... z05cx=< 0, inflow zin=0, ztau=1 |
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| 281 | ! > 0, outflow zin=1, ztau=rtaue |
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| 282 | zin = sign( 1., z05cx ) |
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| 283 | zin = 0.5*( zin + abs(zin) ) |
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| 284 | ! ... for inflow rtauein is used for relaxation coefficient else rtaue |
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| 285 | ztau = (1.-zin ) * rtauein + zin * rtaue |
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| 286 | z05cx = z05cx * zin |
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| 287 | ! ... update va with radiative or climatological velocity |
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| 288 | va(ji,jj,jk) = va(ji,jj,jk) * (1. - vemsk(jj,jk) ) + & |
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| 289 | vemsk(jj,jk) * ( ( 1. - z05cx - ztau ) & |
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| 290 | * vebnd(jj,jk,nib ,nitm) + 2.*z05cx & |
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| 291 | * vebnd(jj,jk,nibm,nit ) + ztau * vfoe(jj,jk) ) & |
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| 292 | / (1. + z05cx) |
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| 293 | END DO |
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| 294 | END DO |
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| 295 | END DO |
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| 296 | |
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| 297 | END IF |
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| 298 | |
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| 299 | END SUBROUTINE obc_dyn_east |
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| 300 | |
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| 301 | SUBROUTINE obc_dyn_west ( kt ) |
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| 302 | !!------------------------------------------------------------------------------ |
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| 303 | !! SUBROUTINE obc_dyn_west |
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| 304 | !! ************************* |
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| 305 | !! ** Purpose : |
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| 306 | !! Apply the radiation algorithm on west OBC velocities ua, va using the |
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| 307 | !! phase velocities calculated in obc_rad_west subroutine in obcrad.F90 module |
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| 308 | !! If the logical lfbcwest is .TRUE., there is no radiation but only fixed OBC |
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| 309 | !! |
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| 310 | !! History : |
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| 311 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
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| 312 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
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| 313 | !! ! 97-12 (M. Imbard) Mpp adaptation |
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| 314 | !! ! 00-06 (J.-M. Molines) |
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| 315 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
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| 316 | !!------------------------------------------------------------------------------ |
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| 317 | !! * Arguments |
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| 318 | INTEGER, INTENT( in ) :: kt |
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| 319 | |
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| 320 | !! * Local declaration |
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| 321 | REAL(wp) :: z05cx, ztau, zin |
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| 322 | |
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| 323 | !!------------------------------------------------------------------------------ |
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| 324 | !! OPA 8.5, LODYC-IPSL (2002) |
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| 325 | !!------------------------------------------------------------------------------ |
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| 326 | |
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| 327 | ! 1. First three time steps and more if lfbcwest is .TRUE. |
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| 328 | ! In that case open boundary conditions are FIXED. |
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| 329 | ! -------------------------------------------------------- |
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| 330 | |
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| 331 | IF( ( kt < nit000+3 .AND. .NOT.ln_rstart ) .OR. lfbcwest ) THEN |
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| 332 | |
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| 333 | ! 1.1 U zonal velocity |
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| 334 | ! --------------------- |
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| 335 | DO ji = niw0, niw1 |
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| 336 | DO jk = 1, jpkm1 |
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| 337 | DO jj = 1, jpj |
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| 338 | # if defined key_dynspg_fsc |
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| 339 | ua(ji,jj,jk) = ua(ji,jj,jk) * (1.-uwmsk(jj,jk)) + & |
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| 340 | uwmsk(jj,jk)*ufow(jj,jk) |
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| 341 | # else |
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| 342 | ua(ji,jj,jk) = ua(ji,jj,jk) * (1.-uwmsk(jj,jk)) + & |
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| 343 | uwmsk(jj,jk)*( ufow(jj,jk) - hur (ji,jj) / e2u (ji,jj) & |
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| 344 | * ( bsfn(ji,jj) - bsfn(ji,jj-1) ) ) |
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| 345 | # endif |
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| 346 | END DO |
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| 347 | END DO |
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| 348 | END DO |
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| 349 | |
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| 350 | ! 1.2 V meridional velocity |
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| 351 | ! ------------------------- |
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| 352 | DO ji = niw0, niw1 |
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| 353 | DO jk = 1, jpkm1 |
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| 354 | DO jj = 1, jpj |
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| 355 | va(ji,jj,jk) = va(ji,jj,jk) * (1.-vwmsk(jj,jk)) + & |
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| 356 | vfow(jj,jk)*vwmsk(jj,jk) |
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| 357 | END DO |
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| 358 | END DO |
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| 359 | END DO |
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| 360 | |
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| 361 | ELSE |
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| 362 | |
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| 363 | ! 2. Beyond the fourth time step if lfbcwest is .FALSE. |
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| 364 | ! ----------------------------------------------------- |
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| 365 | |
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| 366 | ! 2.1. u-component of the velocity |
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| 367 | ! --------------------------------- |
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| 368 | ! |
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| 369 | ! nib nibm nibm2 |
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| 370 | ! ///| nib | nibm | |
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| 371 | ! ///| | | | | |
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| 372 | ! ---f----v----f----v----f-- jj-line |
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| 373 | ! ///| | | | | |
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| 374 | ! ///| | | |
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| 375 | ! ///u T u T u jj-line |
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| 376 | ! ///| | | |
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| 377 | ! ///| | | | | |
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| 378 | ! jpiwob jpiwob+1 jpiwob+2 |
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| 379 | ! | | |
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| 380 | ! jpiwob+1 jpiwob+2 |
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| 381 | ! |
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| 382 | ! ... If free surface formulation: |
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| 383 | ! ... radiative conditions on the total part + relaxation toward climatology |
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| 384 | ! ... (jpjwdp1, jpjwfm1), jpiwob |
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| 385 | DO ji = niw0, niw1 |
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| 386 | DO jk = 1, jpkm1 |
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| 387 | DO jj = 1, jpj |
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| 388 | z05cx = u_cxwbnd(jj,jk) |
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| 389 | z05cx = z05cx / e1t(ji+1,jj) |
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| 390 | z05cx = max( z05cx, -1. ) |
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| 391 | ! ... z05c > 0, inflow zin=0, ztau=1 |
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| 392 | ! =< 0, outflow zin=1, ztau=rtauw |
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| 393 | zin = sign( 1., -1. * z05cx ) |
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| 394 | zin = 0.5*( zin + abs(zin) ) |
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| 395 | ztau = (1.-zin )* rtauwin + zin * rtauw |
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| 396 | z05cx = z05cx * zin |
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| 397 | ! ... update un with radiative or climatological velocity |
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| 398 | ua(ji,jj,jk) = ua(ji,jj,jk) * ( 1. - uwmsk(jj,jk) ) + & |
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| 399 | uwmsk(jj,jk) * ( ( 1. + z05cx - ztau ) & |
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| 400 | * uwbnd(jj,jk,nib ,nitm) - 2.*z05cx & |
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| 401 | * uwbnd(jj,jk,nibm,nit ) + ztau * ufow (jj,jk) ) & |
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| 402 | / (1. - z05cx) |
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| 403 | END DO |
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| 404 | END DO |
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| 405 | END DO |
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| 406 | # if ! defined key_dynspg_fsc |
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| 407 | ! ... ua must be a baroclinic velocity ucliw() |
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| 408 | CALL obc_cli( ua, ucliw, niw0, niw1, 0, jpj ) |
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| 409 | |
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| 410 | ! ... add the correct barotropic radiative velocity (calculated from bsfn) |
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| 411 | ! to the baroclinc velocity ucliw() to have the total velocity |
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| 412 | DO ji = niw0, niw1 |
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| 413 | DO jk = 1, jpkm1 |
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| 414 | DO jj = 1, jpj |
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| 415 | ua(ji,jj,jk) = ua(ji,jj,jk) * ( 1. - uwmsk(jj,jk) ) + & |
|---|
| 416 | uwmsk(jj,jk)*( ucliw(jj,jk) - hur (ji,jj) / e2u (ji,jj) & |
|---|
| 417 | * ( bsfn(ji,jj) - bsfn(ji,jj-1) ) ) |
|---|
| 418 | END DO |
|---|
| 419 | END DO |
|---|
| 420 | END DO |
|---|
| 421 | # endif |
|---|
| 422 | |
|---|
| 423 | ! 2.2 v-component of the velocity |
|---|
| 424 | ! ------------------------------- |
|---|
| 425 | ! |
|---|
| 426 | ! nib nibm nibm2 |
|---|
| 427 | ! ///|///nib | nibm | nibm2 |
|---|
| 428 | ! ///|////| | | | | | |
|---|
| 429 | ! ---v----f----v----f----v----f----v-- jj-line |
|---|
| 430 | ! ///|////| | | | | | |
|---|
| 431 | ! ///|////| | | | | | |
|---|
| 432 | ! jpiwob jpiwob+1 jpiwob+2 |
|---|
| 433 | ! | | | |
|---|
| 434 | ! jpiwob jpiwob+1 jpiwob+2 |
|---|
| 435 | ! |
|---|
| 436 | ! ... radiative condition plus Raymond-Kuo |
|---|
| 437 | ! ... (jpjwdp1, jpjwfm1),jpiwob |
|---|
| 438 | DO ji = niw0, niw1 |
|---|
| 439 | DO jk = 1, jpkm1 |
|---|
| 440 | DO jj = 1, jpj |
|---|
| 441 | z05cx = v_cxwbnd(jj,jk) |
|---|
| 442 | z05cx = z05cx / e1f(ji,jj) |
|---|
| 443 | z05cx = max( z05cx, -1. ) |
|---|
| 444 | ! ... z05cx > 0, inflow zin=0, ztau=1 |
|---|
| 445 | ! =< 0, outflow zin=1, ztau=rtauw |
|---|
| 446 | zin = sign( 1., -1. * z05cx ) |
|---|
| 447 | zin = 0.5*( zin + abs(zin) ) |
|---|
| 448 | ztau = (1.-zin )*rtauwin + zin * rtauw |
|---|
| 449 | z05cx = z05cx * zin |
|---|
| 450 | ! ... update va with radiative or climatological velocity |
|---|
| 451 | va(ji,jj,jk) = va(ji,jj,jk) * (1. - vwmsk(jj,jk) ) + & |
|---|
| 452 | vwmsk(jj,jk) * ( ( 1. + z05cx - ztau ) & |
|---|
| 453 | * vwbnd(jj,jk,nib ,nitm) - 2.*z05cx & |
|---|
| 454 | * vwbnd(jj,jk,nibm,nit ) + ztau * vfow (jj,jk) ) & |
|---|
| 455 | / (1. - z05cx) |
|---|
| 456 | END DO |
|---|
| 457 | END DO |
|---|
| 458 | END DO |
|---|
| 459 | |
|---|
| 460 | END IF |
|---|
| 461 | |
|---|
| 462 | END SUBROUTINE obc_dyn_west |
|---|
| 463 | |
|---|
| 464 | SUBROUTINE obc_dyn_north ( kt ) |
|---|
| 465 | !!------------------------------------------------------------------------------ |
|---|
| 466 | !! SUBROUTINE obc_dyn_north |
|---|
| 467 | !! ************************* |
|---|
| 468 | !! ** Purpose : |
|---|
| 469 | !! Apply the radiation algorithm on north OBC velocities ua, va using the |
|---|
| 470 | !! phase velocities calculated in obc_rad_north subroutine in obcrad.F90 module |
|---|
| 471 | !! If the logical lfbcnorth is .TRUE., there is no radiation but only fixed OBC |
|---|
| 472 | !! |
|---|
| 473 | !! History : |
|---|
| 474 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
|---|
| 475 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
|---|
| 476 | !! ! 97-12 (M. Imbard) Mpp adaptation |
|---|
| 477 | !! ! 00-06 (J.-M. Molines) |
|---|
| 478 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
|---|
| 479 | !!------------------------------------------------------------------------------ |
|---|
| 480 | !! * Arguments |
|---|
| 481 | INTEGER, INTENT( in ) :: kt |
|---|
| 482 | |
|---|
| 483 | !! * Local declaration |
|---|
| 484 | REAL(wp) :: z05cx, ztau, zin |
|---|
| 485 | !!------------------------------------------------------------------------------ |
|---|
| 486 | |
|---|
| 487 | ! 1. First three time steps and more if lfbcnorth is .TRUE. |
|---|
| 488 | ! In that case open boundary conditions are FIXED. |
|---|
| 489 | ! --------------------------------------------------------- |
|---|
| 490 | |
|---|
| 491 | IF( ( kt < nit000+3 .AND. .NOT.ln_rstart ) .OR. lfbcnorth ) THEN |
|---|
| 492 | |
|---|
| 493 | ! 1.1 U zonal velocity |
|---|
| 494 | ! -------------------- |
|---|
| 495 | DO jj = njn0+1, njn1+1 |
|---|
| 496 | DO jk = 1, jpkm1 |
|---|
| 497 | DO ji = 1, jpi |
|---|
| 498 | ua(ji,jj,jk)= ua(ji,jj,jk) * (1.-unmsk(ji,jk)) + & |
|---|
| 499 | ufon(ji,jk)*unmsk(ji,jk) |
|---|
| 500 | END DO |
|---|
| 501 | END DO |
|---|
| 502 | END DO |
|---|
| 503 | |
|---|
| 504 | ! 1.2 V meridional velocity |
|---|
| 505 | ! ------------------------- |
|---|
| 506 | DO jj = njn0, njn1 |
|---|
| 507 | DO jk = 1, jpkm1 |
|---|
| 508 | DO ji = 1, jpi |
|---|
| 509 | # if defined key_dynspg_fsc |
|---|
| 510 | va(ji,jj,jk)= va(ji,jj,jk) * (1.-vnmsk(ji,jk)) + & |
|---|
| 511 | vfon(ji,jk)*vnmsk(ji,jk) |
|---|
| 512 | # else |
|---|
| 513 | va(ji,jj,jk)= va(ji,jj,jk) * (1.-vnmsk(ji,jk)) + & |
|---|
| 514 | vnmsk(ji,jk) * ( vfon(ji,jk) + hvr (ji,jj) / e1v (ji,jj) & |
|---|
| 515 | * ( bsfn(ji,jj) - bsfn(ji-1,jj) ) ) |
|---|
| 516 | # endif |
|---|
| 517 | END DO |
|---|
| 518 | END DO |
|---|
| 519 | END DO |
|---|
| 520 | |
|---|
| 521 | ELSE |
|---|
| 522 | |
|---|
| 523 | ! 2. Beyond the fourth time step if lfbcnorth is .FALSE. |
|---|
| 524 | ! ------------------------------------------------------ |
|---|
| 525 | |
|---|
| 526 | ! 2.1. u-component of the velocity |
|---|
| 527 | ! -------------------------------- |
|---|
| 528 | ! |
|---|
| 529 | ! ji-row |
|---|
| 530 | ! | |
|---|
| 531 | ! nib ///u////// jpjnob + 1 |
|---|
| 532 | ! /////|////// |
|---|
| 533 | ! nib -----f----- jpjnob |
|---|
| 534 | ! | |
|---|
| 535 | ! nibm-- u ---- jpjnob |
|---|
| 536 | ! | |
|---|
| 537 | ! nibm -----f----- jpjnob-1 |
|---|
| 538 | ! | |
|---|
| 539 | ! nibm2-- u ---- jpjnob-1 |
|---|
| 540 | ! | |
|---|
| 541 | ! nibm2 -----f----- jpjnob-2 |
|---|
| 542 | ! | |
|---|
| 543 | ! |
|---|
| 544 | ! ... radiative condition |
|---|
| 545 | ! ... jpjnob+1,(jpindp1, jpinfm1) |
|---|
| 546 | DO jj = njn0+1, njn1+1 |
|---|
| 547 | DO jk = 1, jpkm1 |
|---|
| 548 | DO ji = 1, jpi |
|---|
| 549 | z05cx= u_cynbnd(ji,jk) |
|---|
| 550 | z05cx = z05cx / e2f(ji, jj-1) |
|---|
| 551 | z05cx = min( z05cx, 1. ) |
|---|
| 552 | ! ... z05cx=< 0, inflow zin=0, ztau=1 |
|---|
| 553 | ! > 0, outflow zin=1, ztau=rtaun |
|---|
| 554 | zin = sign( 1., z05cx ) |
|---|
| 555 | zin = 0.5*( zin + abs(zin) ) |
|---|
| 556 | ! ... for inflow rtaunin is used for relaxation coefficient else rtaun |
|---|
| 557 | ztau = (1.-zin ) * rtaunin + zin * rtaun |
|---|
| 558 | ! ... for u, when inflow, ufon is prescribed |
|---|
| 559 | z05cx = z05cx * zin |
|---|
| 560 | ! ... update un with radiative or climatological velocity |
|---|
| 561 | ua(ji,jj,jk) = ua(ji,jj,jk) * (1.-unmsk(ji,jk)) + & |
|---|
| 562 | unmsk(ji,jk) * ( ( 1. - z05cx - ztau ) & |
|---|
| 563 | * unbnd(ji,jk,nib ,nitm) + 2.*z05cx & |
|---|
| 564 | * unbnd(ji,jk,nibm,nit ) + ztau * ufon (ji,jk) ) & |
|---|
| 565 | / (1. + z05cx) |
|---|
| 566 | END DO |
|---|
| 567 | END DO |
|---|
| 568 | END DO |
|---|
| 569 | |
|---|
| 570 | ! 2.2 v-component of the velocity |
|---|
| 571 | ! ------------------------------- |
|---|
| 572 | ! |
|---|
| 573 | ! ji-row ji-row |
|---|
| 574 | ! | | |
|---|
| 575 | ! /////|///////////////// |
|---|
| 576 | ! nib -----f----v----f---- jpjnob |
|---|
| 577 | ! | | |
|---|
| 578 | ! nib - u -- T -- u ---- jpjnob |
|---|
| 579 | ! | | |
|---|
| 580 | ! nibm -----f----v----f---- jpjnob-1 |
|---|
| 581 | ! | | |
|---|
| 582 | ! nibm -- u -- T -- u --- jpjnob-1 |
|---|
| 583 | ! | | |
|---|
| 584 | ! nibm2 -----f----v----f---- jpjnob-2 |
|---|
| 585 | ! | | |
|---|
| 586 | ! |
|---|
| 587 | ! ... If rigidlid formulation: |
|---|
| 588 | ! ... radiative conditions on the baroclinic part only + relaxation toward climatology |
|---|
| 589 | ! ... If free surface formulation: |
|---|
| 590 | ! ... radiative conditions on the total part + relaxation toward climatology |
|---|
| 591 | ! ... jpjnob,(jpindp1, jpinfm1) |
|---|
| 592 | DO jj = njn0, njn1 |
|---|
| 593 | DO jk = 1, jpkm1 |
|---|
| 594 | DO ji = 1, jpi |
|---|
| 595 | ! ... 2* gradj(v) (T-point i=nibm, time mean) |
|---|
| 596 | z05cx = v_cynbnd(ji,jk) |
|---|
| 597 | z05cx = z05cx / e2t(ji,jj) |
|---|
| 598 | z05cx = min( z05cx, 1. ) |
|---|
| 599 | ! ... z05cx=< 0, inflow zin=0, ztau=1 |
|---|
| 600 | ! > 0, outflow zin=1, ztau=rtaun |
|---|
| 601 | zin = sign( 1., z05cx ) |
|---|
| 602 | zin = 0.5*( zin + abs(zin) ) |
|---|
| 603 | ! ... for inflow rtaunin is used for relaxation coefficient else rtaun |
|---|
| 604 | ztau = (1.-zin ) * rtaunin + zin * rtaun |
|---|
| 605 | z05cx = z05cx * zin |
|---|
| 606 | ! ... update va with radiative or climatological velocity |
|---|
| 607 | va(ji,jj,jk) = va(ji,jj,jk) * (1.-vnmsk(ji,jk)) + & |
|---|
| 608 | vnmsk(ji,jk) * ( ( 1. - z05cx - ztau ) & |
|---|
| 609 | * vnbnd(ji,jk,nib ,nitm) + 2.*z05cx & |
|---|
| 610 | * vnbnd(ji,jk,nibm,nit ) + ztau * vfon (ji,jk) ) & |
|---|
| 611 | / (1. + z05cx) |
|---|
| 612 | END DO |
|---|
| 613 | END DO |
|---|
| 614 | END DO |
|---|
| 615 | # if ! defined key_dynspg_fsc |
|---|
| 616 | ! ... va must be a baroclinic velocity vclin() |
|---|
| 617 | CALL obc_cli( va, vclin, njn0, njn1, 1, jpi ) |
|---|
| 618 | |
|---|
| 619 | ! ... add the correct barotropic radiative velocity (calculated from bsfn) |
|---|
| 620 | ! to the baroclinc velocity vclin() to have the total velocity |
|---|
| 621 | DO jj = njn0, njn1 |
|---|
| 622 | DO jk = 1, jpkm1 |
|---|
| 623 | DO ji = 1, jpi |
|---|
| 624 | va(ji,jj,jk) = va(ji,jj,jk) * (1.-vnmsk(ji,jk)) + & |
|---|
| 625 | vnmsk(ji,jk) * ( vclin(ji,jk) + hvr (ji,jj) / e1v (ji,jj) & |
|---|
| 626 | * ( bsfn(ji,jj) - bsfn(ji-1,jj) ) ) |
|---|
| 627 | END DO |
|---|
| 628 | END DO |
|---|
| 629 | END DO |
|---|
| 630 | # endif |
|---|
| 631 | END IF |
|---|
| 632 | |
|---|
| 633 | END SUBROUTINE obc_dyn_north |
|---|
| 634 | |
|---|
| 635 | SUBROUTINE obc_dyn_south ( kt ) |
|---|
| 636 | !!------------------------------------------------------------------------------ |
|---|
| 637 | !! SUBROUTINE obc_dyn_south |
|---|
| 638 | !! ************************* |
|---|
| 639 | !! ** Purpose : |
|---|
| 640 | !! Apply the radiation algorithm on south OBC velocities ua, va using the |
|---|
| 641 | !! phase velocities calculated in obc_rad_south subroutine in obcrad.F90 module |
|---|
| 642 | !! If the logical lfbcsouth is .TRUE., there is no radiation but only fixed OBC |
|---|
| 643 | !! |
|---|
| 644 | !! History : |
|---|
| 645 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
|---|
| 646 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
|---|
| 647 | !! ! 97-12 (M. Imbard) Mpp adaptation |
|---|
| 648 | !! ! 00-06 (J.-M. Molines) |
|---|
| 649 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
|---|
| 650 | !!------------------------------------------------------------------------------ |
|---|
| 651 | !! * Arguments |
|---|
| 652 | INTEGER, INTENT( in ) :: kt |
|---|
| 653 | |
|---|
| 654 | !! * Local declaration |
|---|
| 655 | REAL(wp) :: z05cx, ztau, zin |
|---|
| 656 | |
|---|
| 657 | !!------------------------------------------------------------------------------ |
|---|
| 658 | !! OPA 8.5, LODYC-IPSL (2002) |
|---|
| 659 | !!------------------------------------------------------------------------------ |
|---|
| 660 | |
|---|
| 661 | ! 1. First three time steps and more if lfbcsouth is .TRUE. |
|---|
| 662 | ! In that case open boundary conditions are FIXED. |
|---|
| 663 | ! --------------------------------------------------------- |
|---|
| 664 | |
|---|
| 665 | IF( ( kt < nit000+3 .AND. .NOT.ln_rstart ) .OR. lfbcsouth ) THEN |
|---|
| 666 | |
|---|
| 667 | ! 1.1 U zonal velocity |
|---|
| 668 | ! -------------------- |
|---|
| 669 | DO jj = njs0, njs1 |
|---|
| 670 | DO jk = 1, jpkm1 |
|---|
| 671 | DO ji = 1, jpi |
|---|
| 672 | ua(ji,jj,jk)= ua(ji,jj,jk) * (1.-usmsk(ji,jk)) + & |
|---|
| 673 | usmsk(ji,jk) * ufos(ji,jk) |
|---|
| 674 | END DO |
|---|
| 675 | END DO |
|---|
| 676 | END DO |
|---|
| 677 | |
|---|
| 678 | ! 1.2 V meridional velocity |
|---|
| 679 | ! ------------------------- |
|---|
| 680 | DO jj = njs0, njs1 |
|---|
| 681 | DO jk = 1, jpkm1 |
|---|
| 682 | DO ji = 1, jpi |
|---|
| 683 | # if defined key_dynspg_fsc |
|---|
| 684 | va(ji,jj,jk)= va(ji,jj,jk) * (1.-vsmsk(ji,jk)) + & |
|---|
| 685 | vsmsk(ji,jk) * vfos(ji,jk) |
|---|
| 686 | # else |
|---|
| 687 | va(ji,jj,jk)= va(ji,jj,jk) * (1.-vsmsk(ji,jk)) + & |
|---|
| 688 | vsmsk(ji,jk) * (vfos(ji,jk) + hvr (ji,jj) / e1v (ji,jj) & |
|---|
| 689 | * ( bsfn(ji,jj) - bsfn(ji-1,jj) ) ) |
|---|
| 690 | # endif |
|---|
| 691 | END DO |
|---|
| 692 | END DO |
|---|
| 693 | END DO |
|---|
| 694 | |
|---|
| 695 | ELSE |
|---|
| 696 | |
|---|
| 697 | ! 2. Beyond the fourth time step if lfbcsouth is .FALSE. |
|---|
| 698 | ! ------------------------------------------------------ |
|---|
| 699 | |
|---|
| 700 | ! 2.1. u-component of the velocity |
|---|
| 701 | ! -------------------------------- |
|---|
| 702 | ! |
|---|
| 703 | ! ji-row |
|---|
| 704 | ! | |
|---|
| 705 | ! nibm2 -----f----- jpjsob +2 |
|---|
| 706 | ! | |
|---|
| 707 | ! nibm2 -- u ---- jpjsob +2 |
|---|
| 708 | ! | |
|---|
| 709 | ! nibm -----f----- jpjsob +1 |
|---|
| 710 | ! | |
|---|
| 711 | ! nibm -- u ---- jpjsob +1 |
|---|
| 712 | ! | |
|---|
| 713 | ! nib -----f----- jpjsob |
|---|
| 714 | ! /////|////// |
|---|
| 715 | ! nib ////u///// jpjsob |
|---|
| 716 | ! |
|---|
| 717 | ! ... radiative condition plus Raymond-Kuo |
|---|
| 718 | ! ... jpjsob,(jpisdp1, jpisfm1) |
|---|
| 719 | DO jj = njs0, njs1 |
|---|
| 720 | DO jk = 1, jpkm1 |
|---|
| 721 | DO ji = 1, jpi |
|---|
| 722 | z05cx= u_cysbnd(ji,jk) |
|---|
| 723 | z05cx = z05cx / e2f(ji, jj) |
|---|
| 724 | z05cx = max( z05cx, -1. ) |
|---|
| 725 | ! ... z05cx > 0, inflow zin=0, ztau=1 |
|---|
| 726 | ! =< 0, outflow zin=1, ztau=rtaus |
|---|
| 727 | zin = sign( 1., -1. * z05cx ) |
|---|
| 728 | zin = 0.5*( zin + abs(zin) ) |
|---|
| 729 | ztau = (1.-zin ) * rtausin + zin * rtaus |
|---|
| 730 | z05cx = z05cx * zin |
|---|
| 731 | ! ... update ua with radiative or climatological velocity |
|---|
| 732 | ua(ji,jj,jk) = ua(ji,jj,jk) * (1.-usmsk(ji,jk)) + & |
|---|
| 733 | usmsk(ji,jk) * ( ( 1. + z05cx - ztau ) & |
|---|
| 734 | * usbnd(ji,jk,nib ,nitm) - 2.*z05cx & |
|---|
| 735 | * usbnd(ji,jk,nibm,nit ) + ztau * ufos (ji,jk) ) & |
|---|
| 736 | / (1. - z05cx) |
|---|
| 737 | END DO |
|---|
| 738 | END DO |
|---|
| 739 | END DO |
|---|
| 740 | |
|---|
| 741 | ! 2.2 v-component of the velocity |
|---|
| 742 | ! ------------------------------- |
|---|
| 743 | ! |
|---|
| 744 | ! ji-row ji-row |
|---|
| 745 | ! | | |
|---|
| 746 | ! nibm2 -----f----v----f---- jpjsob+2 |
|---|
| 747 | ! | | |
|---|
| 748 | ! nibm - u -- T -- u ---- jpjsob+2 |
|---|
| 749 | ! | | |
|---|
| 750 | ! nibm -----f----v----f---- jpjsob+1 |
|---|
| 751 | ! | | |
|---|
| 752 | ! nib -- u -- T -- u --- jpjsob+1 |
|---|
| 753 | ! | | |
|---|
| 754 | ! nib -----f----v----f---- jpjsob |
|---|
| 755 | ! ///////////////////// |
|---|
| 756 | ! |
|---|
| 757 | ! ... If rigidlid formulation: |
|---|
| 758 | ! ... radiative conditions on the baroclinic part only + relaxation toward climatology |
|---|
| 759 | ! ... If free surface formulation: |
|---|
| 760 | ! ... radiative conditions on the total part + relaxation toward climatology |
|---|
| 761 | ! ... jpjsob,(jpisdp1,jpisfm1) |
|---|
| 762 | DO jj = njs0, njs1 |
|---|
| 763 | DO jk = 1, jpkm1 |
|---|
| 764 | DO ji = 1, jpi |
|---|
| 765 | z05cx = v_cysbnd(ji,jk) |
|---|
| 766 | z05cx = z05cx / e2t(ji,jj+1) |
|---|
| 767 | z05cx = max( z05cx, -1. ) |
|---|
| 768 | ! ... z05c > 0, inflow zin=0, ztau=1 |
|---|
| 769 | ! =< 0, outflow zin=1, ztau=rtaus |
|---|
| 770 | zin = sign( 1., -1. * z05cx ) |
|---|
| 771 | zin = 0.5*( zin + abs(zin) ) |
|---|
| 772 | ztau = (1.-zin )*rtausin + zin * rtaus |
|---|
| 773 | z05cx = z05cx * zin |
|---|
| 774 | ! ... update va with radiative or climatological velocity |
|---|
| 775 | va(ji,jj,jk) = va(ji,jj,jk) * (1.-vsmsk(ji,jk)) + & |
|---|
| 776 | vsmsk(ji,jk) * ( ( 1. + z05cx - ztau ) & |
|---|
| 777 | * vsbnd(ji,jk,nib ,nitm) - 2.*z05cx & |
|---|
| 778 | * vsbnd(ji,jk,nibm,nit ) + ztau * vfos (ji,jk) ) & |
|---|
| 779 | / (1. - z05cx) |
|---|
| 780 | END DO |
|---|
| 781 | END DO |
|---|
| 782 | END DO |
|---|
| 783 | # if ! defined key_dynspg_fsc |
|---|
| 784 | ! ... va must be a baroclinic velocity vclis() |
|---|
| 785 | CALL obc_cli( va, vclis, njs0, njs1, 1, jpi ) |
|---|
| 786 | |
|---|
| 787 | ! ... add the correct barotropic radiative velocity (calculated from bsfn) |
|---|
| 788 | ! to the baroclinic velocity vclis() to have the total velocity |
|---|
| 789 | DO jj = njs0, njs1 |
|---|
| 790 | DO jk = 1, jpkm1 |
|---|
| 791 | DO ji = 1, jpi |
|---|
| 792 | va(ji,jj,jk) = va(ji,jj,jk) * (1.-vsmsk(ji,jk)) + & |
|---|
| 793 | vsmsk(ji,jk) * ( vclis(ji,jk) + hvr (ji,jj) / e1v (ji,jj) & |
|---|
| 794 | * ( bsfn(ji,jj) - bsfn(ji-1,jj) ) ) |
|---|
| 795 | END DO |
|---|
| 796 | END DO |
|---|
| 797 | END DO |
|---|
| 798 | # endif |
|---|
| 799 | END IF |
|---|
| 800 | |
|---|
| 801 | END SUBROUTINE obc_dyn_south |
|---|
| 802 | #else |
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| 803 | !!================================================================================= |
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| 804 | !! *** MODULE obcdyn *** |
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| 805 | !! Ocean dynamics: Radiation of velocities on each open boundary |
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| 806 | !!================================================================================= |
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| 807 | CONTAINS |
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| 808 | |
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| 809 | SUBROUTINE obc_dyn |
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| 810 | ! No open boundaries ==> empty routine |
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| 811 | END SUBROUTINE obc_dyn |
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| 812 | #endif |
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| 813 | |
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| 814 | END MODULE obcdyn |
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