| 1 | MODULE eosbn2 |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE eosbn2 *** |
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| 4 | !! Ocean diagnostic variable : equation of state - in situ and potential density |
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| 5 | !! - Brunt-Vaisala frequency |
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| 6 | !!============================================================================== |
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| 7 | !! History : OPA ! 1989-03 (O. Marti) Original code |
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| 8 | !! 6.0 ! 1994-07 (G. Madec, M. Imbard) add bn2 |
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| 9 | !! 6.0 ! 1994-08 (G. Madec) Add Jackett & McDougall eos |
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| 10 | !! 7.0 ! 1996-01 (G. Madec) statement function for e3 |
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| 11 | !! 8.1 ! 1997-07 (G. Madec) density instead of volumic mass |
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| 12 | !! - ! 1999-02 (G. Madec, N. Grima) semi-implicit pressure gradient |
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| 13 | !! 8.2 ! 2001-09 (M. Ben Jelloul) bugfix on linear eos |
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| 14 | !! NEMO 1.0 ! 2002-10 (G. Madec) add eos_init |
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| 15 | !! - ! 2002-11 (G. Madec, A. Bozec) partial step, eos_insitu_2d |
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| 16 | !! - ! 2003-08 (G. Madec) F90, free form |
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| 17 | !! 3.0 ! 2006-08 (G. Madec) add tfreez function (now eos_fzp function) |
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| 18 | !! 3.3 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA |
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| 19 | !! - ! 2010-10 (G. Nurser, G. Madec) add alpha/beta used in ldfslp |
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| 20 | !! 3.7 ! 2012-03 (F. Roquet, G. Madec) add primitive of alpha and beta used in PE computation |
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| 21 | !! - ! 2012-05 (F. Roquet) add Vallis and original JM95 equation of state |
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| 22 | !! - ! 2013-04 (F. Roquet, G. Madec) add eos_rab, change bn2 computation and reorganize the module |
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| 23 | !! - ! 2014-09 (F. Roquet) add TEOS-10, S-EOS, and modify EOS-80 |
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| 24 | !! - ! 2015-06 (P.A. Bouttier) eos_fzp functions changed to subroutines for AGRIF |
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| 25 | !!---------------------------------------------------------------------- |
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| 26 | |
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| 27 | !!---------------------------------------------------------------------- |
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| 28 | !! eos : generic interface of the equation of state |
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| 29 | !! eos_insitu : Compute the in situ density |
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| 30 | !! eos_insitu_pot : Compute the insitu and surface referenced potential volumic mass |
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| 31 | !! eos_insitu_2d : Compute the in situ density for 2d fields |
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| 32 | !! bn2 : Compute the Brunt-Vaisala frequency |
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| 33 | !! eos_rab : generic interface of in situ thermal/haline expansion ratio |
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| 34 | !! eos_rab_3d : compute in situ thermal/haline expansion ratio |
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| 35 | !! eos_rab_2d : compute in situ thermal/haline expansion ratio for 2d fields |
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| 36 | !! eos_fzp_2d : freezing temperature for 2d fields |
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| 37 | !! eos_fzp_0d : freezing temperature for scalar |
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| 38 | !! eos_init : set eos parameters (namelist) |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | USE dom_oce ! ocean space and time domain |
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| 41 | USE phycst ! physical constants |
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| 42 | ! |
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| 43 | USE in_out_manager ! I/O manager |
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| 44 | USE lib_mpp ! MPP library |
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| 45 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| 46 | USE prtctl ! Print control |
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| 47 | USE wrk_nemo ! Memory Allocation |
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| 48 | USE lbclnk ! ocean lateral boundary conditions |
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| 49 | USE timing ! Timing |
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| 50 | USE stopar ! Stochastic T/S fluctuations |
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| 51 | USE stopts ! Stochastic T/S fluctuations |
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| 52 | |
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| 53 | IMPLICIT NONE |
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| 54 | PRIVATE |
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| 55 | |
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| 56 | ! !! * Interface |
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| 57 | INTERFACE eos |
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| 58 | MODULE PROCEDURE eos_insitu, eos_insitu_pot, eos_insitu_2d |
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| 59 | END INTERFACE |
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| 60 | ! |
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| 61 | INTERFACE eos_rab |
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| 62 | MODULE PROCEDURE rab_3d, rab_2d, rab_0d |
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| 63 | END INTERFACE |
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| 64 | ! |
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| 65 | INTERFACE eos_fzp |
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| 66 | MODULE PROCEDURE eos_fzp_2d, eos_fzp_0d |
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| 67 | END INTERFACE |
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| 68 | ! |
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| 69 | PUBLIC eos ! called by step, istate, tranpc and zpsgrd modules |
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| 70 | PUBLIC bn2 ! called by step module |
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| 71 | PUBLIC eos_rab ! called by ldfslp, zdfddm, trabbl |
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| 72 | PUBLIC eos_pt_from_ct ! called by sbcssm |
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| 73 | PUBLIC eos_fzp ! called by traadv_cen2 and sbcice_... modules |
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| 74 | PUBLIC eos_pen ! used for pe diagnostics in trdpen module |
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| 75 | PUBLIC eos_init ! called by istate module |
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| 76 | |
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| 77 | ! !!* Namelist (nameos) * |
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| 78 | INTEGER , PUBLIC :: nn_eos ! = 0/1/2 type of eq. of state and Brunt-Vaisala frequ. |
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| 79 | LOGICAL , PUBLIC :: ln_useCT ! determine if eos_pt_from_ct is used to compute sst_m |
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| 80 | |
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| 81 | ! !!! simplified eos coefficients |
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| 82 | ! default value: Vallis 2006 |
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| 83 | REAL(wp) :: rn_a0 = 1.6550e-1_wp ! thermal expansion coeff. |
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| 84 | REAL(wp) :: rn_b0 = 7.6554e-1_wp ! saline expansion coeff. |
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| 85 | REAL(wp) :: rn_lambda1 = 5.9520e-2_wp ! cabbeling coeff. in T^2 |
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| 86 | REAL(wp) :: rn_lambda2 = 5.4914e-4_wp ! cabbeling coeff. in S^2 |
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| 87 | REAL(wp) :: rn_mu1 = 1.4970e-4_wp ! thermobaric coeff. in T |
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| 88 | REAL(wp) :: rn_mu2 = 1.1090e-5_wp ! thermobaric coeff. in S |
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| 89 | REAL(wp) :: rn_nu = 2.4341e-3_wp ! cabbeling coeff. in theta*salt |
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| 90 | |
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| 91 | ! TEOS10/EOS80 parameters |
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| 92 | REAL(wp) :: r1_S0, r1_T0, r1_Z0, rdeltaS |
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| 93 | |
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| 94 | ! EOS parameters |
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| 95 | REAL(wp) :: EOS000 , EOS100 , EOS200 , EOS300 , EOS400 , EOS500 , EOS600 |
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| 96 | REAL(wp) :: EOS010 , EOS110 , EOS210 , EOS310 , EOS410 , EOS510 |
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| 97 | REAL(wp) :: EOS020 , EOS120 , EOS220 , EOS320 , EOS420 |
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| 98 | REAL(wp) :: EOS030 , EOS130 , EOS230 , EOS330 |
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| 99 | REAL(wp) :: EOS040 , EOS140 , EOS240 |
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| 100 | REAL(wp) :: EOS050 , EOS150 |
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| 101 | REAL(wp) :: EOS060 |
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| 102 | REAL(wp) :: EOS001 , EOS101 , EOS201 , EOS301 , EOS401 |
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| 103 | REAL(wp) :: EOS011 , EOS111 , EOS211 , EOS311 |
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| 104 | REAL(wp) :: EOS021 , EOS121 , EOS221 |
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| 105 | REAL(wp) :: EOS031 , EOS131 |
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| 106 | REAL(wp) :: EOS041 |
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| 107 | REAL(wp) :: EOS002 , EOS102 , EOS202 |
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| 108 | REAL(wp) :: EOS012 , EOS112 |
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| 109 | REAL(wp) :: EOS022 |
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| 110 | REAL(wp) :: EOS003 , EOS103 |
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| 111 | REAL(wp) :: EOS013 |
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| 112 | |
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| 113 | ! ALPHA parameters |
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| 114 | REAL(wp) :: ALP000 , ALP100 , ALP200 , ALP300 , ALP400 , ALP500 |
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| 115 | REAL(wp) :: ALP010 , ALP110 , ALP210 , ALP310 , ALP410 |
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| 116 | REAL(wp) :: ALP020 , ALP120 , ALP220 , ALP320 |
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| 117 | REAL(wp) :: ALP030 , ALP130 , ALP230 |
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| 118 | REAL(wp) :: ALP040 , ALP140 |
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| 119 | REAL(wp) :: ALP050 |
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| 120 | REAL(wp) :: ALP001 , ALP101 , ALP201 , ALP301 |
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| 121 | REAL(wp) :: ALP011 , ALP111 , ALP211 |
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| 122 | REAL(wp) :: ALP021 , ALP121 |
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| 123 | REAL(wp) :: ALP031 |
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| 124 | REAL(wp) :: ALP002 , ALP102 |
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| 125 | REAL(wp) :: ALP012 |
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| 126 | REAL(wp) :: ALP003 |
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| 127 | |
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| 128 | ! BETA parameters |
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| 129 | REAL(wp) :: BET000 , BET100 , BET200 , BET300 , BET400 , BET500 |
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| 130 | REAL(wp) :: BET010 , BET110 , BET210 , BET310 , BET410 |
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| 131 | REAL(wp) :: BET020 , BET120 , BET220 , BET320 |
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| 132 | REAL(wp) :: BET030 , BET130 , BET230 |
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| 133 | REAL(wp) :: BET040 , BET140 |
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| 134 | REAL(wp) :: BET050 |
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| 135 | REAL(wp) :: BET001 , BET101 , BET201 , BET301 |
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| 136 | REAL(wp) :: BET011 , BET111 , BET211 |
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| 137 | REAL(wp) :: BET021 , BET121 |
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| 138 | REAL(wp) :: BET031 |
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| 139 | REAL(wp) :: BET002 , BET102 |
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| 140 | REAL(wp) :: BET012 |
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| 141 | REAL(wp) :: BET003 |
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| 142 | |
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| 143 | ! PEN parameters |
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| 144 | REAL(wp) :: PEN000 , PEN100 , PEN200 , PEN300 , PEN400 |
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| 145 | REAL(wp) :: PEN010 , PEN110 , PEN210 , PEN310 |
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| 146 | REAL(wp) :: PEN020 , PEN120 , PEN220 |
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| 147 | REAL(wp) :: PEN030 , PEN130 |
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| 148 | REAL(wp) :: PEN040 |
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| 149 | REAL(wp) :: PEN001 , PEN101 , PEN201 |
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| 150 | REAL(wp) :: PEN011 , PEN111 |
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| 151 | REAL(wp) :: PEN021 |
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| 152 | REAL(wp) :: PEN002 , PEN102 |
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| 153 | REAL(wp) :: PEN012 |
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| 154 | |
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| 155 | ! ALPHA_PEN parameters |
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| 156 | REAL(wp) :: APE000 , APE100 , APE200 , APE300 |
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| 157 | REAL(wp) :: APE010 , APE110 , APE210 |
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| 158 | REAL(wp) :: APE020 , APE120 |
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| 159 | REAL(wp) :: APE030 |
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| 160 | REAL(wp) :: APE001 , APE101 |
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| 161 | REAL(wp) :: APE011 |
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| 162 | REAL(wp) :: APE002 |
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| 163 | |
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| 164 | ! BETA_PEN parameters |
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| 165 | REAL(wp) :: BPE000 , BPE100 , BPE200 , BPE300 |
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| 166 | REAL(wp) :: BPE010 , BPE110 , BPE210 |
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| 167 | REAL(wp) :: BPE020 , BPE120 |
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| 168 | REAL(wp) :: BPE030 |
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| 169 | REAL(wp) :: BPE001 , BPE101 |
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| 170 | REAL(wp) :: BPE011 |
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| 171 | REAL(wp) :: BPE002 |
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| 172 | |
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| 173 | !! * Substitutions |
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| 174 | # include "domzgr_substitute.h90" |
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| 175 | # include "vectopt_loop_substitute.h90" |
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| 176 | !!---------------------------------------------------------------------- |
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| 177 | !! NEMO/OPA 3.7 , NEMO Consortium (2014) |
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| 178 | !! $Id$ |
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| 179 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 180 | !!---------------------------------------------------------------------- |
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| 181 | CONTAINS |
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| 182 | |
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| 183 | SUBROUTINE eos_insitu( pts, prd, pdep ) |
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| 184 | !!---------------------------------------------------------------------- |
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| 185 | !! *** ROUTINE eos_insitu *** |
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| 186 | !! |
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| 187 | !! ** Purpose : Compute the in situ density (ratio rho/rau0) from |
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| 188 | !! potential temperature and salinity using an equation of state |
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| 189 | !! defined through the namelist parameter nn_eos. |
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| 190 | !! |
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| 191 | !! ** Method : prd(t,s,z) = ( rho(t,s,z) - rau0 ) / rau0 |
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| 192 | !! with prd in situ density anomaly no units |
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| 193 | !! t TEOS10: CT or EOS80: PT Celsius |
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| 194 | !! s TEOS10: SA or EOS80: SP TEOS10: g/kg or EOS80: psu |
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| 195 | !! z depth meters |
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| 196 | !! rho in situ density kg/m^3 |
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| 197 | !! rau0 reference density kg/m^3 |
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| 198 | !! |
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| 199 | !! nn_eos = -1 : polynomial TEOS-10 equation of state is used for rho(t,s,z). |
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| 200 | !! Check value: rho = 1028.21993233072 kg/m^3 for z=3000 dbar, ct=3 Celcius, sa=35.5 g/kg |
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| 201 | !! |
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| 202 | !! nn_eos = 0 : polynomial EOS-80 equation of state is used for rho(t,s,z). |
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| 203 | !! Check value: rho = 1028.35011066567 kg/m^3 for z=3000 dbar, pt=3 Celcius, sp=35.5 psu |
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| 204 | !! |
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| 205 | !! nn_eos = 1 : simplified equation of state |
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| 206 | !! prd(t,s,z) = ( -a0*(1+lambda/2*(T-T0)+mu*z+nu*(S-S0))*(T-T0) + b0*(S-S0) ) / rau0 |
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| 207 | !! linear case function of T only: rn_alpha<>0, other coefficients = 0 |
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| 208 | !! linear eos function of T and S: rn_alpha and rn_beta<>0, other coefficients=0 |
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| 209 | !! Vallis like equation: use default values of coefficients |
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| 210 | !! |
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| 211 | !! ** Action : compute prd , the in situ density (no units) |
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| 212 | !! |
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| 213 | !! References : Roquet et al, Ocean Modelling, in preparation (2014) |
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| 214 | !! Vallis, Atmospheric and Oceanic Fluid Dynamics, 2006 |
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| 215 | !! TEOS-10 Manual, 2010 |
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| 216 | !!---------------------------------------------------------------------- |
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| 217 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in ) :: pts ! 1 : potential temperature [Celcius] |
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| 218 | ! ! 2 : salinity [psu] |
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| 219 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT( out) :: prd ! in situ density [-] |
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| 220 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pdep ! depth [m] |
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| 221 | ! |
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| 222 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 223 | REAL(wp) :: zt , zh , zs , ztm ! local scalars |
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| 224 | REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - |
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| 225 | !!---------------------------------------------------------------------- |
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| 226 | ! |
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| 227 | IF( nn_timing == 1 ) CALL timing_start('eos-insitu') |
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| 228 | ! |
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| 229 | SELECT CASE( nn_eos ) |
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| 230 | ! |
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| 231 | CASE( -1, 0 ) !== polynomial TEOS-10 / EOS-80 ==! |
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| 232 | ! |
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| 233 | DO jk = 1, jpkm1 |
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| 234 | DO jj = 1, jpj |
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| 235 | DO ji = 1, jpi |
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| 236 | ! |
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| 237 | zh = pdep(ji,jj,jk) * r1_Z0 ! depth |
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| 238 | zt = pts (ji,jj,jk,jp_tem) * r1_T0 ! temperature |
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| 239 | zs = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity |
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| 240 | ztm = tmask(ji,jj,jk) ! tmask |
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| 241 | ! |
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| 242 | zn3 = EOS013*zt & |
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| 243 | & + EOS103*zs+EOS003 |
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| 244 | ! |
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| 245 | zn2 = (EOS022*zt & |
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| 246 | & + EOS112*zs+EOS012)*zt & |
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| 247 | & + (EOS202*zs+EOS102)*zs+EOS002 |
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| 248 | ! |
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| 249 | zn1 = (((EOS041*zt & |
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| 250 | & + EOS131*zs+EOS031)*zt & |
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| 251 | & + (EOS221*zs+EOS121)*zs+EOS021)*zt & |
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| 252 | & + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt & |
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| 253 | & + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001 |
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| 254 | ! |
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| 255 | zn0 = (((((EOS060*zt & |
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| 256 | & + EOS150*zs+EOS050)*zt & |
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| 257 | & + (EOS240*zs+EOS140)*zs+EOS040)*zt & |
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| 258 | & + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt & |
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| 259 | & + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt & |
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| 260 | & + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt & |
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| 261 | & + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000 |
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| 262 | ! |
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| 263 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
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| 264 | ! |
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| 265 | prd(ji,jj,jk) = ( zn * r1_rau0 - 1._wp ) * ztm ! density anomaly (masked) |
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| 266 | ! |
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| 267 | END DO |
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| 268 | END DO |
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| 269 | END DO |
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| 270 | ! |
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| 271 | CASE( 1 ) !== simplified EOS ==! |
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| 272 | ! |
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| 273 | DO jk = 1, jpkm1 |
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| 274 | DO jj = 1, jpj |
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| 275 | DO ji = 1, jpi |
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| 276 | zt = pts (ji,jj,jk,jp_tem) - 10._wp |
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| 277 | zs = pts (ji,jj,jk,jp_sal) - 35._wp |
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| 278 | zh = pdep (ji,jj,jk) |
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| 279 | ztm = tmask(ji,jj,jk) |
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| 280 | ! |
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| 281 | zn = - rn_a0 * ( 1._wp + 0.5_wp*rn_lambda1*zt + rn_mu1*zh ) * zt & |
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| 282 | & + rn_b0 * ( 1._wp - 0.5_wp*rn_lambda2*zs - rn_mu2*zh ) * zs & |
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| 283 | & - rn_nu * zt * zs |
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| 284 | ! |
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| 285 | prd(ji,jj,jk) = zn * r1_rau0 * ztm ! density anomaly (masked) |
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| 286 | END DO |
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| 287 | END DO |
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| 288 | END DO |
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| 289 | ! |
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| 290 | END SELECT |
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| 291 | ! |
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| 292 | IF(ln_ctl) CALL prt_ctl( tab3d_1=prd, clinfo1=' eos-insitu : ', ovlap=1, kdim=jpk ) |
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| 293 | ! |
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| 294 | IF( nn_timing == 1 ) CALL timing_stop('eos-insitu') |
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| 295 | ! |
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| 296 | END SUBROUTINE eos_insitu |
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| 297 | |
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| 298 | |
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| 299 | SUBROUTINE eos_insitu_pot( pts, prd, prhop, pdep ) |
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| 300 | !!---------------------------------------------------------------------- |
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| 301 | !! *** ROUTINE eos_insitu_pot *** |
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| 302 | !! |
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| 303 | !! ** Purpose : Compute the in situ density (ratio rho/rau0) and the |
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| 304 | !! potential volumic mass (Kg/m3) from potential temperature and |
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| 305 | !! salinity fields using an equation of state defined through the |
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| 306 | !! namelist parameter nn_eos. |
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| 307 | !! |
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| 308 | !! ** Action : - prd , the in situ density (no units) |
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| 309 | !! - prhop, the potential volumic mass (Kg/m3) |
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| 310 | !! |
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| 311 | !!---------------------------------------------------------------------- |
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| 312 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in ) :: pts ! 1 : potential temperature [Celcius] |
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| 313 | ! ! 2 : salinity [psu] |
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| 314 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT( out) :: prd ! in situ density [-] |
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| 315 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT( out) :: prhop ! potential density (surface referenced) |
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| 316 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pdep ! depth [m] |
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| 317 | ! |
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| 318 | INTEGER :: ji, jj, jk, jsmp ! dummy loop indices |
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| 319 | INTEGER :: jdof |
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| 320 | REAL(wp) :: zt , zh , zstemp, zs , ztm ! local scalars |
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| 321 | REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - |
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| 322 | REAL(wp), DIMENSION(:), ALLOCATABLE :: zn0_sto, zn_sto, zsign ! local vectors |
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| 323 | !!---------------------------------------------------------------------- |
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| 324 | ! |
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| 325 | IF( nn_timing == 1 ) CALL timing_start('eos-pot') |
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| 326 | ! |
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| 327 | SELECT CASE ( nn_eos ) |
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| 328 | ! |
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| 329 | CASE( -1, 0 ) !== polynomial TEOS-10 / EOS-80 ==! |
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| 330 | ! |
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| 331 | ! Stochastic equation of state |
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| 332 | IF ( ln_sto_eos ) THEN |
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| 333 | ALLOCATE(zn0_sto(1:2*nn_sto_eos)) |
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| 334 | ALLOCATE(zn_sto(1:2*nn_sto_eos)) |
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| 335 | ALLOCATE(zsign(1:2*nn_sto_eos)) |
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| 336 | DO jsmp = 1, 2*nn_sto_eos, 2 |
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| 337 | zsign(jsmp) = 1._wp |
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| 338 | zsign(jsmp+1) = -1._wp |
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| 339 | END DO |
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| 340 | ! |
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| 341 | DO jk = 1, jpkm1 |
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| 342 | DO jj = 1, jpj |
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| 343 | DO ji = 1, jpi |
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| 344 | ! |
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| 345 | ! compute density (2*nn_sto_eos) times: |
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| 346 | ! (1) for t+dt, s+ds (with the random TS fluctutation computed in sto_pts) |
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| 347 | ! (2) for t-dt, s-ds (with the opposite fluctuation) |
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| 348 | DO jsmp = 1, nn_sto_eos*2 |
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| 349 | jdof = (jsmp + 1) / 2 |
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| 350 | zh = pdep(ji,jj,jk) * r1_Z0 ! depth |
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| 351 | zt = (pts (ji,jj,jk,jp_tem) + pts_ran(ji,jj,jk,jp_tem,jdof) * zsign(jsmp)) * r1_T0 ! temperature |
|---|
| 352 | zstemp = pts (ji,jj,jk,jp_sal) + pts_ran(ji,jj,jk,jp_sal,jdof) * zsign(jsmp) |
|---|
| 353 | zs = SQRT( ABS( zstemp + rdeltaS ) * r1_S0 ) ! square root salinity |
|---|
| 354 | ztm = tmask(ji,jj,jk) ! tmask |
|---|
| 355 | ! |
|---|
| 356 | zn3 = EOS013*zt & |
|---|
| 357 | & + EOS103*zs+EOS003 |
|---|
| 358 | ! |
|---|
| 359 | zn2 = (EOS022*zt & |
|---|
| 360 | & + EOS112*zs+EOS012)*zt & |
|---|
| 361 | & + (EOS202*zs+EOS102)*zs+EOS002 |
|---|
| 362 | ! |
|---|
| 363 | zn1 = (((EOS041*zt & |
|---|
| 364 | & + EOS131*zs+EOS031)*zt & |
|---|
| 365 | & + (EOS221*zs+EOS121)*zs+EOS021)*zt & |
|---|
| 366 | & + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt & |
|---|
| 367 | & + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001 |
|---|
| 368 | ! |
|---|
| 369 | zn0_sto(jsmp) = (((((EOS060*zt & |
|---|
| 370 | & + EOS150*zs+EOS050)*zt & |
|---|
| 371 | & + (EOS240*zs+EOS140)*zs+EOS040)*zt & |
|---|
| 372 | & + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt & |
|---|
| 373 | & + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt & |
|---|
| 374 | & + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt & |
|---|
| 375 | & + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000 |
|---|
| 376 | ! |
|---|
| 377 | zn_sto(jsmp) = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0_sto(jsmp) |
|---|
| 378 | END DO |
|---|
| 379 | ! |
|---|
| 380 | ! compute stochastic density as the mean of the (2*nn_sto_eos) densities |
|---|
| 381 | prhop(ji,jj,jk) = 0._wp ; prd(ji,jj,jk) = 0._wp |
|---|
| 382 | DO jsmp = 1, nn_sto_eos*2 |
|---|
| 383 | prhop(ji,jj,jk) = prhop(ji,jj,jk) + zn0_sto(jsmp) ! potential density referenced at the surface |
|---|
| 384 | ! |
|---|
| 385 | prd(ji,jj,jk) = prd(ji,jj,jk) + ( zn_sto(jsmp) * r1_rau0 - 1._wp ) ! density anomaly (masked) |
|---|
| 386 | END DO |
|---|
| 387 | prhop(ji,jj,jk) = 0.5_wp * prhop(ji,jj,jk) * ztm / nn_sto_eos |
|---|
| 388 | prd (ji,jj,jk) = 0.5_wp * prd (ji,jj,jk) * ztm / nn_sto_eos |
|---|
| 389 | END DO |
|---|
| 390 | END DO |
|---|
| 391 | END DO |
|---|
| 392 | DEALLOCATE(zn0_sto,zn_sto,zsign) |
|---|
| 393 | ! Non-stochastic equation of state |
|---|
| 394 | ELSE |
|---|
| 395 | DO jk = 1, jpkm1 |
|---|
| 396 | DO jj = 1, jpj |
|---|
| 397 | DO ji = 1, jpi |
|---|
| 398 | ! |
|---|
| 399 | zh = pdep(ji,jj,jk) * r1_Z0 ! depth |
|---|
| 400 | zt = pts (ji,jj,jk,jp_tem) * r1_T0 ! temperature |
|---|
| 401 | zs = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity |
|---|
| 402 | ztm = tmask(ji,jj,jk) ! tmask |
|---|
| 403 | ! |
|---|
| 404 | zn3 = EOS013*zt & |
|---|
| 405 | & + EOS103*zs+EOS003 |
|---|
| 406 | ! |
|---|
| 407 | zn2 = (EOS022*zt & |
|---|
| 408 | & + EOS112*zs+EOS012)*zt & |
|---|
| 409 | & + (EOS202*zs+EOS102)*zs+EOS002 |
|---|
| 410 | ! |
|---|
| 411 | zn1 = (((EOS041*zt & |
|---|
| 412 | & + EOS131*zs+EOS031)*zt & |
|---|
| 413 | & + (EOS221*zs+EOS121)*zs+EOS021)*zt & |
|---|
| 414 | & + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt & |
|---|
| 415 | & + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001 |
|---|
| 416 | ! |
|---|
| 417 | zn0 = (((((EOS060*zt & |
|---|
| 418 | & + EOS150*zs+EOS050)*zt & |
|---|
| 419 | & + (EOS240*zs+EOS140)*zs+EOS040)*zt & |
|---|
| 420 | & + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt & |
|---|
| 421 | & + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt & |
|---|
| 422 | & + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt & |
|---|
| 423 | & + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000 |
|---|
| 424 | ! |
|---|
| 425 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
|---|
| 426 | ! |
|---|
| 427 | prhop(ji,jj,jk) = zn0 * ztm ! potential density referenced at the surface |
|---|
| 428 | ! |
|---|
| 429 | prd(ji,jj,jk) = ( zn * r1_rau0 - 1._wp ) * ztm ! density anomaly (masked) |
|---|
| 430 | END DO |
|---|
| 431 | END DO |
|---|
| 432 | END DO |
|---|
| 433 | ENDIF |
|---|
| 434 | |
|---|
| 435 | CASE( 1 ) !== simplified EOS ==! |
|---|
| 436 | ! |
|---|
| 437 | DO jk = 1, jpkm1 |
|---|
| 438 | DO jj = 1, jpj |
|---|
| 439 | DO ji = 1, jpi |
|---|
| 440 | zt = pts (ji,jj,jk,jp_tem) - 10._wp |
|---|
| 441 | zs = pts (ji,jj,jk,jp_sal) - 35._wp |
|---|
| 442 | zh = pdep (ji,jj,jk) |
|---|
| 443 | ztm = tmask(ji,jj,jk) |
|---|
| 444 | ! ! potential density referenced at the surface |
|---|
| 445 | zn = - rn_a0 * ( 1._wp + 0.5_wp*rn_lambda1*zt ) * zt & |
|---|
| 446 | & + rn_b0 * ( 1._wp - 0.5_wp*rn_lambda2*zs ) * zs & |
|---|
| 447 | & - rn_nu * zt * zs |
|---|
| 448 | prhop(ji,jj,jk) = ( rau0 + zn ) * ztm |
|---|
| 449 | ! ! density anomaly (masked) |
|---|
| 450 | zn = zn - ( rn_a0 * rn_mu1 * zt + rn_b0 * rn_mu2 * zs ) * zh |
|---|
| 451 | prd(ji,jj,jk) = zn * r1_rau0 * ztm |
|---|
| 452 | ! |
|---|
| 453 | END DO |
|---|
| 454 | END DO |
|---|
| 455 | END DO |
|---|
| 456 | ! |
|---|
| 457 | END SELECT |
|---|
| 458 | ! |
|---|
| 459 | IF(ln_ctl) CALL prt_ctl( tab3d_1=prd, clinfo1=' eos-pot: ', tab3d_2=prhop, clinfo2=' pot : ', ovlap=1, kdim=jpk ) |
|---|
| 460 | ! |
|---|
| 461 | IF( nn_timing == 1 ) CALL timing_stop('eos-pot') |
|---|
| 462 | ! |
|---|
| 463 | END SUBROUTINE eos_insitu_pot |
|---|
| 464 | |
|---|
| 465 | |
|---|
| 466 | SUBROUTINE eos_insitu_2d( pts, pdep, prd ) |
|---|
| 467 | !!---------------------------------------------------------------------- |
|---|
| 468 | !! *** ROUTINE eos_insitu_2d *** |
|---|
| 469 | !! |
|---|
| 470 | !! ** Purpose : Compute the in situ density (ratio rho/rau0) from |
|---|
| 471 | !! potential temperature and salinity using an equation of state |
|---|
| 472 | !! defined through the namelist parameter nn_eos. * 2D field case |
|---|
| 473 | !! |
|---|
| 474 | !! ** Action : - prd , the in situ density (no units) (unmasked) |
|---|
| 475 | !! |
|---|
| 476 | !!---------------------------------------------------------------------- |
|---|
| 477 | REAL(wp), DIMENSION(jpi,jpj,jpts), INTENT(in ) :: pts ! 1 : potential temperature [Celcius] |
|---|
| 478 | ! ! 2 : salinity [psu] |
|---|
| 479 | REAL(wp), DIMENSION(jpi,jpj) , INTENT(in ) :: pdep ! depth [m] |
|---|
| 480 | REAL(wp), DIMENSION(jpi,jpj) , INTENT( out) :: prd ! in situ density |
|---|
| 481 | ! |
|---|
| 482 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 483 | REAL(wp) :: zt , zh , zs ! local scalars |
|---|
| 484 | REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - |
|---|
| 485 | !!---------------------------------------------------------------------- |
|---|
| 486 | ! |
|---|
| 487 | IF( nn_timing == 1 ) CALL timing_start('eos2d') |
|---|
| 488 | ! |
|---|
| 489 | prd(:,:) = 0._wp |
|---|
| 490 | ! |
|---|
| 491 | SELECT CASE( nn_eos ) |
|---|
| 492 | ! |
|---|
| 493 | CASE( -1, 0 ) !== polynomial TEOS-10 / EOS-80 ==! |
|---|
| 494 | ! |
|---|
| 495 | DO jj = 1, jpjm1 |
|---|
| 496 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 497 | ! |
|---|
| 498 | zh = pdep(ji,jj) * r1_Z0 ! depth |
|---|
| 499 | zt = pts (ji,jj,jp_tem) * r1_T0 ! temperature |
|---|
| 500 | zs = SQRT( ABS( pts(ji,jj,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity |
|---|
| 501 | ! |
|---|
| 502 | zn3 = EOS013*zt & |
|---|
| 503 | & + EOS103*zs+EOS003 |
|---|
| 504 | ! |
|---|
| 505 | zn2 = (EOS022*zt & |
|---|
| 506 | & + EOS112*zs+EOS012)*zt & |
|---|
| 507 | & + (EOS202*zs+EOS102)*zs+EOS002 |
|---|
| 508 | ! |
|---|
| 509 | zn1 = (((EOS041*zt & |
|---|
| 510 | & + EOS131*zs+EOS031)*zt & |
|---|
| 511 | & + (EOS221*zs+EOS121)*zs+EOS021)*zt & |
|---|
| 512 | & + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt & |
|---|
| 513 | & + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001 |
|---|
| 514 | ! |
|---|
| 515 | zn0 = (((((EOS060*zt & |
|---|
| 516 | & + EOS150*zs+EOS050)*zt & |
|---|
| 517 | & + (EOS240*zs+EOS140)*zs+EOS040)*zt & |
|---|
| 518 | & + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt & |
|---|
| 519 | & + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt & |
|---|
| 520 | & + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt & |
|---|
| 521 | & + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000 |
|---|
| 522 | ! |
|---|
| 523 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
|---|
| 524 | ! |
|---|
| 525 | prd(ji,jj) = zn * r1_rau0 - 1._wp ! unmasked in situ density anomaly |
|---|
| 526 | ! |
|---|
| 527 | END DO |
|---|
| 528 | END DO |
|---|
| 529 | ! |
|---|
| 530 | CALL lbc_lnk( prd, 'T', 1. ) ! Lateral boundary conditions |
|---|
| 531 | ! |
|---|
| 532 | CASE( 1 ) !== simplified EOS ==! |
|---|
| 533 | ! |
|---|
| 534 | DO jj = 1, jpjm1 |
|---|
| 535 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 536 | ! |
|---|
| 537 | zt = pts (ji,jj,jp_tem) - 10._wp |
|---|
| 538 | zs = pts (ji,jj,jp_sal) - 35._wp |
|---|
| 539 | zh = pdep (ji,jj) ! depth at the partial step level |
|---|
| 540 | ! |
|---|
| 541 | zn = - rn_a0 * ( 1._wp + 0.5_wp*rn_lambda1*zt + rn_mu1*zh ) * zt & |
|---|
| 542 | & + rn_b0 * ( 1._wp - 0.5_wp*rn_lambda2*zs - rn_mu2*zh ) * zs & |
|---|
| 543 | & - rn_nu * zt * zs |
|---|
| 544 | ! |
|---|
| 545 | prd(ji,jj) = zn * r1_rau0 ! unmasked in situ density anomaly |
|---|
| 546 | ! |
|---|
| 547 | END DO |
|---|
| 548 | END DO |
|---|
| 549 | ! |
|---|
| 550 | CALL lbc_lnk( prd, 'T', 1. ) ! Lateral boundary conditions |
|---|
| 551 | ! |
|---|
| 552 | END SELECT |
|---|
| 553 | ! |
|---|
| 554 | IF(ln_ctl) CALL prt_ctl( tab2d_1=prd, clinfo1=' eos2d: ' ) |
|---|
| 555 | ! |
|---|
| 556 | IF( nn_timing == 1 ) CALL timing_stop('eos2d') |
|---|
| 557 | ! |
|---|
| 558 | END SUBROUTINE eos_insitu_2d |
|---|
| 559 | |
|---|
| 560 | |
|---|
| 561 | SUBROUTINE rab_3d( pts, pab ) |
|---|
| 562 | !!---------------------------------------------------------------------- |
|---|
| 563 | !! *** ROUTINE rab_3d *** |
|---|
| 564 | !! |
|---|
| 565 | !! ** Purpose : Calculates thermal/haline expansion ratio at T-points |
|---|
| 566 | !! |
|---|
| 567 | !! ** Method : calculates alpha / beta at T-points |
|---|
| 568 | !! |
|---|
| 569 | !! ** Action : - pab : thermal/haline expansion ratio at T-points |
|---|
| 570 | !!---------------------------------------------------------------------- |
|---|
| 571 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in ) :: pts ! pot. temperature & salinity |
|---|
| 572 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT( out) :: pab ! thermal/haline expansion ratio |
|---|
| 573 | ! |
|---|
| 574 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 575 | REAL(wp) :: zt , zh , zs , ztm ! local scalars |
|---|
| 576 | REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - |
|---|
| 577 | !!---------------------------------------------------------------------- |
|---|
| 578 | ! |
|---|
| 579 | IF( nn_timing == 1 ) CALL timing_start('rab_3d') |
|---|
| 580 | ! |
|---|
| 581 | SELECT CASE ( nn_eos ) |
|---|
| 582 | ! |
|---|
| 583 | CASE( -1, 0 ) !== polynomial TEOS-10 / EOS-80 ==! |
|---|
| 584 | ! |
|---|
| 585 | DO jk = 1, jpkm1 |
|---|
| 586 | DO jj = 1, jpj |
|---|
| 587 | DO ji = 1, jpi |
|---|
| 588 | ! |
|---|
| 589 | zh = fsdept(ji,jj,jk) * r1_Z0 ! depth |
|---|
| 590 | zt = pts (ji,jj,jk,jp_tem) * r1_T0 ! temperature |
|---|
| 591 | zs = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity |
|---|
| 592 | ztm = tmask(ji,jj,jk) ! tmask |
|---|
| 593 | ! |
|---|
| 594 | ! alpha |
|---|
| 595 | zn3 = ALP003 |
|---|
| 596 | ! |
|---|
| 597 | zn2 = ALP012*zt + ALP102*zs+ALP002 |
|---|
| 598 | ! |
|---|
| 599 | zn1 = ((ALP031*zt & |
|---|
| 600 | & + ALP121*zs+ALP021)*zt & |
|---|
| 601 | & + (ALP211*zs+ALP111)*zs+ALP011)*zt & |
|---|
| 602 | & + ((ALP301*zs+ALP201)*zs+ALP101)*zs+ALP001 |
|---|
| 603 | ! |
|---|
| 604 | zn0 = ((((ALP050*zt & |
|---|
| 605 | & + ALP140*zs+ALP040)*zt & |
|---|
| 606 | & + (ALP230*zs+ALP130)*zs+ALP030)*zt & |
|---|
| 607 | & + ((ALP320*zs+ALP220)*zs+ALP120)*zs+ALP020)*zt & |
|---|
| 608 | & + (((ALP410*zs+ALP310)*zs+ALP210)*zs+ALP110)*zs+ALP010)*zt & |
|---|
| 609 | & + ((((ALP500*zs+ALP400)*zs+ALP300)*zs+ALP200)*zs+ALP100)*zs+ALP000 |
|---|
| 610 | ! |
|---|
| 611 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
|---|
| 612 | ! |
|---|
| 613 | pab(ji,jj,jk,jp_tem) = zn * r1_rau0 * ztm |
|---|
| 614 | ! |
|---|
| 615 | ! beta |
|---|
| 616 | zn3 = BET003 |
|---|
| 617 | ! |
|---|
| 618 | zn2 = BET012*zt + BET102*zs+BET002 |
|---|
| 619 | ! |
|---|
| 620 | zn1 = ((BET031*zt & |
|---|
| 621 | & + BET121*zs+BET021)*zt & |
|---|
| 622 | & + (BET211*zs+BET111)*zs+BET011)*zt & |
|---|
| 623 | & + ((BET301*zs+BET201)*zs+BET101)*zs+BET001 |
|---|
| 624 | ! |
|---|
| 625 | zn0 = ((((BET050*zt & |
|---|
| 626 | & + BET140*zs+BET040)*zt & |
|---|
| 627 | & + (BET230*zs+BET130)*zs+BET030)*zt & |
|---|
| 628 | & + ((BET320*zs+BET220)*zs+BET120)*zs+BET020)*zt & |
|---|
| 629 | & + (((BET410*zs+BET310)*zs+BET210)*zs+BET110)*zs+BET010)*zt & |
|---|
| 630 | & + ((((BET500*zs+BET400)*zs+BET300)*zs+BET200)*zs+BET100)*zs+BET000 |
|---|
| 631 | ! |
|---|
| 632 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
|---|
| 633 | ! |
|---|
| 634 | pab(ji,jj,jk,jp_sal) = zn / zs * r1_rau0 * ztm |
|---|
| 635 | ! |
|---|
| 636 | END DO |
|---|
| 637 | END DO |
|---|
| 638 | END DO |
|---|
| 639 | ! |
|---|
| 640 | CASE( 1 ) !== simplified EOS ==! |
|---|
| 641 | ! |
|---|
| 642 | DO jk = 1, jpkm1 |
|---|
| 643 | DO jj = 1, jpj |
|---|
| 644 | DO ji = 1, jpi |
|---|
| 645 | zt = pts (ji,jj,jk,jp_tem) - 10._wp ! pot. temperature anomaly (t-T0) |
|---|
| 646 | zs = pts (ji,jj,jk,jp_sal) - 35._wp ! abs. salinity anomaly (s-S0) |
|---|
| 647 | zh = fsdept(ji,jj,jk) ! depth in meters at t-point |
|---|
| 648 | ztm = tmask(ji,jj,jk) ! land/sea bottom mask = surf. mask |
|---|
| 649 | ! |
|---|
| 650 | zn = rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs |
|---|
| 651 | pab(ji,jj,jk,jp_tem) = zn * r1_rau0 * ztm ! alpha |
|---|
| 652 | ! |
|---|
| 653 | zn = rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt |
|---|
| 654 | pab(ji,jj,jk,jp_sal) = zn * r1_rau0 * ztm ! beta |
|---|
| 655 | ! |
|---|
| 656 | END DO |
|---|
| 657 | END DO |
|---|
| 658 | END DO |
|---|
| 659 | ! |
|---|
| 660 | CASE DEFAULT |
|---|
| 661 | IF(lwp) WRITE(numout,cform_err) |
|---|
| 662 | IF(lwp) WRITE(numout,*) ' bad flag value for nn_eos = ', nn_eos |
|---|
| 663 | nstop = nstop + 1 |
|---|
| 664 | ! |
|---|
| 665 | END SELECT |
|---|
| 666 | ! |
|---|
| 667 | IF(ln_ctl) CALL prt_ctl( tab3d_1=pab(:,:,:,jp_tem), clinfo1=' rab_3d_t: ', & |
|---|
| 668 | & tab3d_2=pab(:,:,:,jp_sal), clinfo2=' rab_3d_s : ', ovlap=1, kdim=jpk ) |
|---|
| 669 | ! |
|---|
| 670 | IF( nn_timing == 1 ) CALL timing_stop('rab_3d') |
|---|
| 671 | ! |
|---|
| 672 | END SUBROUTINE rab_3d |
|---|
| 673 | |
|---|
| 674 | SUBROUTINE rab_2d( pts, pdep, pab ) |
|---|
| 675 | !!---------------------------------------------------------------------- |
|---|
| 676 | !! *** ROUTINE rab_2d *** |
|---|
| 677 | !! |
|---|
| 678 | !! ** Purpose : Calculates thermal/haline expansion ratio for a 2d field (unmasked) |
|---|
| 679 | !! |
|---|
| 680 | !! ** Action : - pab : thermal/haline expansion ratio at T-points |
|---|
| 681 | !!---------------------------------------------------------------------- |
|---|
| 682 | REAL(wp), DIMENSION(jpi,jpj,jpts) , INTENT(in ) :: pts ! pot. temperature & salinity |
|---|
| 683 | REAL(wp), DIMENSION(jpi,jpj) , INTENT(in ) :: pdep ! depth [m] |
|---|
| 684 | REAL(wp), DIMENSION(jpi,jpj,jpts) , INTENT( out) :: pab ! thermal/haline expansion ratio |
|---|
| 685 | ! |
|---|
| 686 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 687 | REAL(wp) :: zt , zh , zs ! local scalars |
|---|
| 688 | REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - |
|---|
| 689 | !!---------------------------------------------------------------------- |
|---|
| 690 | ! |
|---|
| 691 | IF( nn_timing == 1 ) CALL timing_start('rab_2d') |
|---|
| 692 | ! |
|---|
| 693 | pab(:,:,:) = 0._wp |
|---|
| 694 | ! |
|---|
| 695 | SELECT CASE ( nn_eos ) |
|---|
| 696 | ! |
|---|
| 697 | CASE( -1, 0 ) !== polynomial TEOS-10 / EOS-80 ==! |
|---|
| 698 | ! |
|---|
| 699 | DO jj = 1, jpjm1 |
|---|
| 700 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 701 | ! |
|---|
| 702 | zh = pdep(ji,jj) * r1_Z0 ! depth |
|---|
| 703 | zt = pts (ji,jj,jp_tem) * r1_T0 ! temperature |
|---|
| 704 | zs = SQRT( ABS( pts(ji,jj,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity |
|---|
| 705 | ! |
|---|
| 706 | ! alpha |
|---|
| 707 | zn3 = ALP003 |
|---|
| 708 | ! |
|---|
| 709 | zn2 = ALP012*zt + ALP102*zs+ALP002 |
|---|
| 710 | ! |
|---|
| 711 | zn1 = ((ALP031*zt & |
|---|
| 712 | & + ALP121*zs+ALP021)*zt & |
|---|
| 713 | & + (ALP211*zs+ALP111)*zs+ALP011)*zt & |
|---|
| 714 | & + ((ALP301*zs+ALP201)*zs+ALP101)*zs+ALP001 |
|---|
| 715 | ! |
|---|
| 716 | zn0 = ((((ALP050*zt & |
|---|
| 717 | & + ALP140*zs+ALP040)*zt & |
|---|
| 718 | & + (ALP230*zs+ALP130)*zs+ALP030)*zt & |
|---|
| 719 | & + ((ALP320*zs+ALP220)*zs+ALP120)*zs+ALP020)*zt & |
|---|
| 720 | & + (((ALP410*zs+ALP310)*zs+ALP210)*zs+ALP110)*zs+ALP010)*zt & |
|---|
| 721 | & + ((((ALP500*zs+ALP400)*zs+ALP300)*zs+ALP200)*zs+ALP100)*zs+ALP000 |
|---|
| 722 | ! |
|---|
| 723 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
|---|
| 724 | ! |
|---|
| 725 | pab(ji,jj,jp_tem) = zn * r1_rau0 |
|---|
| 726 | ! |
|---|
| 727 | ! beta |
|---|
| 728 | zn3 = BET003 |
|---|
| 729 | ! |
|---|
| 730 | zn2 = BET012*zt + BET102*zs+BET002 |
|---|
| 731 | ! |
|---|
| 732 | zn1 = ((BET031*zt & |
|---|
| 733 | & + BET121*zs+BET021)*zt & |
|---|
| 734 | & + (BET211*zs+BET111)*zs+BET011)*zt & |
|---|
| 735 | & + ((BET301*zs+BET201)*zs+BET101)*zs+BET001 |
|---|
| 736 | ! |
|---|
| 737 | zn0 = ((((BET050*zt & |
|---|
| 738 | & + BET140*zs+BET040)*zt & |
|---|
| 739 | & + (BET230*zs+BET130)*zs+BET030)*zt & |
|---|
| 740 | & + ((BET320*zs+BET220)*zs+BET120)*zs+BET020)*zt & |
|---|
| 741 | & + (((BET410*zs+BET310)*zs+BET210)*zs+BET110)*zs+BET010)*zt & |
|---|
| 742 | & + ((((BET500*zs+BET400)*zs+BET300)*zs+BET200)*zs+BET100)*zs+BET000 |
|---|
| 743 | ! |
|---|
| 744 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
|---|
| 745 | ! |
|---|
| 746 | pab(ji,jj,jp_sal) = zn / zs * r1_rau0 |
|---|
| 747 | ! |
|---|
| 748 | ! |
|---|
| 749 | END DO |
|---|
| 750 | END DO |
|---|
| 751 | ! |
|---|
| 752 | CALL lbc_lnk( pab(:,:,jp_tem), 'T', 1. ) ! Lateral boundary conditions |
|---|
| 753 | CALL lbc_lnk( pab(:,:,jp_sal), 'T', 1. ) |
|---|
| 754 | ! |
|---|
| 755 | CASE( 1 ) !== simplified EOS ==! |
|---|
| 756 | ! |
|---|
| 757 | DO jj = 1, jpjm1 |
|---|
| 758 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 759 | ! |
|---|
| 760 | zt = pts (ji,jj,jp_tem) - 10._wp ! pot. temperature anomaly (t-T0) |
|---|
| 761 | zs = pts (ji,jj,jp_sal) - 35._wp ! abs. salinity anomaly (s-S0) |
|---|
| 762 | zh = pdep (ji,jj) ! depth at the partial step level |
|---|
| 763 | ! |
|---|
| 764 | zn = rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs |
|---|
| 765 | pab(ji,jj,jp_tem) = zn * r1_rau0 ! alpha |
|---|
| 766 | ! |
|---|
| 767 | zn = rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt |
|---|
| 768 | pab(ji,jj,jp_sal) = zn * r1_rau0 ! beta |
|---|
| 769 | ! |
|---|
| 770 | END DO |
|---|
| 771 | END DO |
|---|
| 772 | ! |
|---|
| 773 | CALL lbc_lnk( pab(:,:,jp_tem), 'T', 1. ) ! Lateral boundary conditions |
|---|
| 774 | CALL lbc_lnk( pab(:,:,jp_sal), 'T', 1. ) |
|---|
| 775 | ! |
|---|
| 776 | CASE DEFAULT |
|---|
| 777 | IF(lwp) WRITE(numout,cform_err) |
|---|
| 778 | IF(lwp) WRITE(numout,*) ' bad flag value for nn_eos = ', nn_eos |
|---|
| 779 | nstop = nstop + 1 |
|---|
| 780 | ! |
|---|
| 781 | END SELECT |
|---|
| 782 | ! |
|---|
| 783 | IF(ln_ctl) CALL prt_ctl( tab2d_1=pab(:,:,jp_tem), clinfo1=' rab_2d_t: ', & |
|---|
| 784 | & tab2d_2=pab(:,:,jp_sal), clinfo2=' rab_2d_s : ' ) |
|---|
| 785 | ! |
|---|
| 786 | IF( nn_timing == 1 ) CALL timing_stop('rab_2d') |
|---|
| 787 | ! |
|---|
| 788 | END SUBROUTINE rab_2d |
|---|
| 789 | |
|---|
| 790 | |
|---|
| 791 | SUBROUTINE rab_0d( pts, pdep, pab ) |
|---|
| 792 | !!---------------------------------------------------------------------- |
|---|
| 793 | !! *** ROUTINE rab_0d *** |
|---|
| 794 | !! |
|---|
| 795 | !! ** Purpose : Calculates thermal/haline expansion ratio for a 2d field (unmasked) |
|---|
| 796 | !! |
|---|
| 797 | !! ** Action : - pab : thermal/haline expansion ratio at T-points |
|---|
| 798 | !!---------------------------------------------------------------------- |
|---|
| 799 | REAL(wp), DIMENSION(jpts) , INTENT(in ) :: pts ! pot. temperature & salinity |
|---|
| 800 | REAL(wp), INTENT(in ) :: pdep ! depth [m] |
|---|
| 801 | REAL(wp), DIMENSION(jpts) , INTENT( out) :: pab ! thermal/haline expansion ratio |
|---|
| 802 | ! |
|---|
| 803 | REAL(wp) :: zt , zh , zs ! local scalars |
|---|
| 804 | REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - |
|---|
| 805 | !!---------------------------------------------------------------------- |
|---|
| 806 | ! |
|---|
| 807 | IF( nn_timing == 1 ) CALL timing_start('rab_2d') |
|---|
| 808 | ! |
|---|
| 809 | pab(:) = 0._wp |
|---|
| 810 | ! |
|---|
| 811 | SELECT CASE ( nn_eos ) |
|---|
| 812 | ! |
|---|
| 813 | CASE( -1, 0 ) !== polynomial TEOS-10 / EOS-80 ==! |
|---|
| 814 | ! |
|---|
| 815 | ! |
|---|
| 816 | zh = pdep * r1_Z0 ! depth |
|---|
| 817 | zt = pts (jp_tem) * r1_T0 ! temperature |
|---|
| 818 | zs = SQRT( ABS( pts(jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity |
|---|
| 819 | ! |
|---|
| 820 | ! alpha |
|---|
| 821 | zn3 = ALP003 |
|---|
| 822 | ! |
|---|
| 823 | zn2 = ALP012*zt + ALP102*zs+ALP002 |
|---|
| 824 | ! |
|---|
| 825 | zn1 = ((ALP031*zt & |
|---|
| 826 | & + ALP121*zs+ALP021)*zt & |
|---|
| 827 | & + (ALP211*zs+ALP111)*zs+ALP011)*zt & |
|---|
| 828 | & + ((ALP301*zs+ALP201)*zs+ALP101)*zs+ALP001 |
|---|
| 829 | ! |
|---|
| 830 | zn0 = ((((ALP050*zt & |
|---|
| 831 | & + ALP140*zs+ALP040)*zt & |
|---|
| 832 | & + (ALP230*zs+ALP130)*zs+ALP030)*zt & |
|---|
| 833 | & + ((ALP320*zs+ALP220)*zs+ALP120)*zs+ALP020)*zt & |
|---|
| 834 | & + (((ALP410*zs+ALP310)*zs+ALP210)*zs+ALP110)*zs+ALP010)*zt & |
|---|
| 835 | & + ((((ALP500*zs+ALP400)*zs+ALP300)*zs+ALP200)*zs+ALP100)*zs+ALP000 |
|---|
| 836 | ! |
|---|
| 837 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
|---|
| 838 | ! |
|---|
| 839 | pab(jp_tem) = zn * r1_rau0 |
|---|
| 840 | ! |
|---|
| 841 | ! beta |
|---|
| 842 | zn3 = BET003 |
|---|
| 843 | ! |
|---|
| 844 | zn2 = BET012*zt + BET102*zs+BET002 |
|---|
| 845 | ! |
|---|
| 846 | zn1 = ((BET031*zt & |
|---|
| 847 | & + BET121*zs+BET021)*zt & |
|---|
| 848 | & + (BET211*zs+BET111)*zs+BET011)*zt & |
|---|
| 849 | & + ((BET301*zs+BET201)*zs+BET101)*zs+BET001 |
|---|
| 850 | ! |
|---|
| 851 | zn0 = ((((BET050*zt & |
|---|
| 852 | & + BET140*zs+BET040)*zt & |
|---|
| 853 | & + (BET230*zs+BET130)*zs+BET030)*zt & |
|---|
| 854 | & + ((BET320*zs+BET220)*zs+BET120)*zs+BET020)*zt & |
|---|
| 855 | & + (((BET410*zs+BET310)*zs+BET210)*zs+BET110)*zs+BET010)*zt & |
|---|
| 856 | & + ((((BET500*zs+BET400)*zs+BET300)*zs+BET200)*zs+BET100)*zs+BET000 |
|---|
| 857 | ! |
|---|
| 858 | zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 |
|---|
| 859 | ! |
|---|
| 860 | pab(jp_sal) = zn / zs * r1_rau0 |
|---|
| 861 | ! |
|---|
| 862 | ! |
|---|
| 863 | ! |
|---|
| 864 | CASE( 1 ) !== simplified EOS ==! |
|---|
| 865 | ! |
|---|
| 866 | zt = pts(jp_tem) - 10._wp ! pot. temperature anomaly (t-T0) |
|---|
| 867 | zs = pts(jp_sal) - 35._wp ! abs. salinity anomaly (s-S0) |
|---|
| 868 | zh = pdep ! depth at the partial step level |
|---|
| 869 | ! |
|---|
| 870 | zn = rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs |
|---|
| 871 | pab(jp_tem) = zn * r1_rau0 ! alpha |
|---|
| 872 | ! |
|---|
| 873 | zn = rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt |
|---|
| 874 | pab(jp_sal) = zn * r1_rau0 ! beta |
|---|
| 875 | ! |
|---|
| 876 | CASE DEFAULT |
|---|
| 877 | IF(lwp) WRITE(numout,cform_err) |
|---|
| 878 | IF(lwp) WRITE(numout,*) ' bad flag value for nn_eos = ', nn_eos |
|---|
| 879 | nstop = nstop + 1 |
|---|
| 880 | ! |
|---|
| 881 | END SELECT |
|---|
| 882 | ! |
|---|
| 883 | IF( nn_timing == 1 ) CALL timing_stop('rab_2d') |
|---|
| 884 | ! |
|---|
| 885 | END SUBROUTINE rab_0d |
|---|
| 886 | |
|---|
| 887 | |
|---|
| 888 | SUBROUTINE bn2( pts, pab, pn2 ) |
|---|
| 889 | !!---------------------------------------------------------------------- |
|---|
| 890 | !! *** ROUTINE bn2 *** |
|---|
| 891 | !! |
|---|
| 892 | !! ** Purpose : Compute the local Brunt-Vaisala frequency at the |
|---|
| 893 | !! time-step of the input arguments |
|---|
| 894 | !! |
|---|
| 895 | !! ** Method : pn2 = grav * (alpha dk[T] + beta dk[S] ) / e3w |
|---|
| 896 | !! where alpha and beta are given in pab, and computed on T-points. |
|---|
| 897 | !! N.B. N^2 is set one for all to zero at jk=1 in istate module. |
|---|
| 898 | !! |
|---|
| 899 | !! ** Action : pn2 : square of the brunt-vaisala frequency at w-point |
|---|
| 900 | !! |
|---|
| 901 | !!---------------------------------------------------------------------- |
|---|
| 902 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in ) :: pts ! pot. temperature and salinity [Celcius,psu] |
|---|
| 903 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in ) :: pab ! thermal/haline expansion coef. [Celcius-1,psu-1] |
|---|
| 904 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT( out) :: pn2 ! Brunt-Vaisala frequency squared [1/s^2] |
|---|
| 905 | ! |
|---|
| 906 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 907 | REAL(wp) :: zaw, zbw, zrw ! local scalars |
|---|
| 908 | !!---------------------------------------------------------------------- |
|---|
| 909 | ! |
|---|
| 910 | IF( nn_timing == 1 ) CALL timing_start('bn2') |
|---|
| 911 | ! |
|---|
| 912 | DO jk = 2, jpkm1 ! interior points only (2=< jk =< jpkm1 ) |
|---|
| 913 | DO jj = 1, jpj ! surface and bottom value set to zero one for all in istate.F90 |
|---|
| 914 | DO ji = 1, jpi |
|---|
| 915 | zrw = ( fsdepw(ji,jj,jk ) - fsdept(ji,jj,jk) ) & |
|---|
| 916 | & / ( fsdept(ji,jj,jk-1) - fsdept(ji,jj,jk) ) |
|---|
| 917 | ! |
|---|
| 918 | zaw = pab(ji,jj,jk,jp_tem) * (1. - zrw) + pab(ji,jj,jk-1,jp_tem) * zrw |
|---|
| 919 | zbw = pab(ji,jj,jk,jp_sal) * (1. - zrw) + pab(ji,jj,jk-1,jp_sal) * zrw |
|---|
| 920 | ! |
|---|
| 921 | pn2(ji,jj,jk) = grav * ( zaw * ( pts(ji,jj,jk-1,jp_tem) - pts(ji,jj,jk,jp_tem) ) & |
|---|
| 922 | & - zbw * ( pts(ji,jj,jk-1,jp_sal) - pts(ji,jj,jk,jp_sal) ) ) & |
|---|
| 923 | & / fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 924 | END DO |
|---|
| 925 | END DO |
|---|
| 926 | END DO |
|---|
| 927 | ! |
|---|
| 928 | IF(ln_ctl) CALL prt_ctl( tab3d_1=pn2, clinfo1=' bn2 : ', ovlap=1, kdim=jpk ) |
|---|
| 929 | ! |
|---|
| 930 | IF( nn_timing == 1 ) CALL timing_stop('bn2') |
|---|
| 931 | ! |
|---|
| 932 | END SUBROUTINE bn2 |
|---|
| 933 | |
|---|
| 934 | |
|---|
| 935 | FUNCTION eos_pt_from_ct( ctmp, psal ) RESULT( ptmp ) |
|---|
| 936 | !!---------------------------------------------------------------------- |
|---|
| 937 | !! *** ROUTINE eos_pt_from_ct *** |
|---|
| 938 | !! |
|---|
| 939 | !! ** Purpose : Compute pot.temp. from cons. temp. [Celcius] |
|---|
| 940 | !! |
|---|
| 941 | !! ** Method : rational approximation (5/3th order) of TEOS-10 algorithm |
|---|
| 942 | !! checkvalue: pt=20.02391895 Celsius for sa=35.7g/kg, ct=20degC |
|---|
| 943 | !! |
|---|
| 944 | !! Reference : TEOS-10, UNESCO |
|---|
| 945 | !! Rational approximation to TEOS10 algorithm (rms error on WOA13 values: 4.0e-5 degC) |
|---|
| 946 | !!---------------------------------------------------------------------- |
|---|
| 947 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ctmp ! Cons. Temp [Celcius] |
|---|
| 948 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: psal ! salinity [psu] |
|---|
| 949 | ! Leave result array automatic rather than making explicitly allocated |
|---|
| 950 | REAL(wp), DIMENSION(jpi,jpj) :: ptmp ! potential temperature [Celcius] |
|---|
| 951 | ! |
|---|
| 952 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 953 | REAL(wp) :: zt , zs , ztm ! local scalars |
|---|
| 954 | REAL(wp) :: zn , zd ! local scalars |
|---|
| 955 | REAL(wp) :: zdeltaS , z1_S0 , z1_T0 |
|---|
| 956 | !!---------------------------------------------------------------------- |
|---|
| 957 | ! |
|---|
| 958 | IF ( nn_timing == 1 ) CALL timing_start('eos_pt_from_ct') |
|---|
| 959 | ! |
|---|
| 960 | zdeltaS = 5._wp |
|---|
| 961 | z1_S0 = 0.875_wp/35.16504_wp |
|---|
| 962 | z1_T0 = 1._wp/40._wp |
|---|
| 963 | ! |
|---|
| 964 | DO jj = 1, jpj |
|---|
| 965 | DO ji = 1, jpi |
|---|
| 966 | ! |
|---|
| 967 | zt = ctmp (ji,jj) * z1_T0 |
|---|
| 968 | zs = SQRT( ABS( psal(ji,jj) + zdeltaS ) * r1_S0 ) |
|---|
| 969 | ztm = tmask(ji,jj,1) |
|---|
| 970 | ! |
|---|
| 971 | zn = ((((-2.1385727895e-01_wp*zt & |
|---|
| 972 | & - 2.7674419971e-01_wp*zs+1.0728094330_wp)*zt & |
|---|
| 973 | & + (2.6366564313_wp*zs+3.3546960647_wp)*zs-7.8012209473_wp)*zt & |
|---|
| 974 | & + ((1.8835586562_wp*zs+7.3949191679_wp)*zs-3.3937395875_wp)*zs-5.6414948432_wp)*zt & |
|---|
| 975 | & + (((3.5737370589_wp*zs-1.5512427389e+01_wp)*zs+2.4625741105e+01_wp)*zs & |
|---|
| 976 | & +1.9912291000e+01_wp)*zs-3.2191146312e+01_wp)*zt & |
|---|
| 977 | & + ((((5.7153204649e-01_wp*zs-3.0943149543_wp)*zs+9.3052495181_wp)*zs & |
|---|
| 978 | & -9.4528934807_wp)*zs+3.1066408996_wp)*zs-4.3504021262e-01_wp |
|---|
| 979 | ! |
|---|
| 980 | zd = (2.0035003456_wp*zt & |
|---|
| 981 | & -3.4570358592e-01_wp*zs+5.6471810638_wp)*zt & |
|---|
| 982 | & + (1.5393993508_wp*zs-6.9394762624_wp)*zs+1.2750522650e+01_wp |
|---|
| 983 | ! |
|---|
| 984 | ptmp(ji,jj) = ( zt / z1_T0 + zn / zd ) * ztm |
|---|
| 985 | ! |
|---|
| 986 | END DO |
|---|
| 987 | END DO |
|---|
| 988 | ! |
|---|
| 989 | IF( nn_timing == 1 ) CALL timing_stop('eos_pt_from_ct') |
|---|
| 990 | ! |
|---|
| 991 | END FUNCTION eos_pt_from_ct |
|---|
| 992 | |
|---|
| 993 | |
|---|
| 994 | SUBROUTINE eos_fzp_2d( psal, ptf, pdep ) |
|---|
| 995 | !!---------------------------------------------------------------------- |
|---|
| 996 | !! *** ROUTINE eos_fzp *** |
|---|
| 997 | !! |
|---|
| 998 | !! ** Purpose : Compute the freezing point temperature [Celcius] |
|---|
| 999 | !! |
|---|
| 1000 | !! ** Method : UNESCO freezing point (ptf) in Celcius is given by |
|---|
| 1001 | !! ptf(t,z) = (-.0575+1.710523e-3*sqrt(abs(s))-2.154996e-4*s)*s - 7.53e-4*z |
|---|
| 1002 | !! checkvalue: tf=-2.588567 Celsius for s=40psu, z=500m |
|---|
| 1003 | !! |
|---|
| 1004 | !! Reference : UNESCO tech. papers in the marine science no. 28. 1978 |
|---|
| 1005 | !!---------------------------------------------------------------------- |
|---|
| 1006 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: psal ! salinity [psu] |
|---|
| 1007 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ), OPTIONAL :: pdep ! depth [m] |
|---|
| 1008 | REAL(wp), DIMENSION(jpi,jpj), INTENT(out ) :: ptf ! freezing temperature [Celcius] |
|---|
| 1009 | ! |
|---|
| 1010 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 1011 | REAL(wp) :: zt, zs ! local scalars |
|---|
| 1012 | !!---------------------------------------------------------------------- |
|---|
| 1013 | ! |
|---|
| 1014 | SELECT CASE ( nn_eos ) |
|---|
| 1015 | ! |
|---|
| 1016 | CASE ( -1, 1 ) !== CT,SA (TEOS-10 formulation) ==! |
|---|
| 1017 | ! |
|---|
| 1018 | DO jj = 1, jpj |
|---|
| 1019 | DO ji = 1, jpi |
|---|
| 1020 | zs= SQRT( ABS( psal(ji,jj) ) / 35.16504_wp ) ! square root salinity |
|---|
| 1021 | ptf(ji,jj) = ((((1.46873e-03_wp*zs-9.64972e-03_wp)*zs+2.28348e-02_wp)*zs & |
|---|
| 1022 | & - 3.12775e-02_wp)*zs+2.07679e-02_wp)*zs-5.87701e-02_wp |
|---|
| 1023 | END DO |
|---|
| 1024 | END DO |
|---|
| 1025 | ptf(:,:) = ptf(:,:) * psal(:,:) |
|---|
| 1026 | ! |
|---|
| 1027 | IF( PRESENT( pdep ) ) ptf(:,:) = ptf(:,:) - 7.53e-4 * pdep(:,:) |
|---|
| 1028 | ! |
|---|
| 1029 | CASE ( 0 ) !== PT,SP (UNESCO formulation) ==! |
|---|
| 1030 | ! |
|---|
| 1031 | ptf(:,:) = ( - 0.0575_wp + 1.710523e-3_wp * SQRT( psal(:,:) ) & |
|---|
| 1032 | & - 2.154996e-4_wp * psal(:,:) ) * psal(:,:) |
|---|
| 1033 | ! |
|---|
| 1034 | IF( PRESENT( pdep ) ) ptf(:,:) = ptf(:,:) - 7.53e-4 * pdep(:,:) |
|---|
| 1035 | ! |
|---|
| 1036 | CASE DEFAULT |
|---|
| 1037 | IF(lwp) WRITE(numout,cform_err) |
|---|
| 1038 | IF(lwp) WRITE(numout,*) ' bad flag value for nn_eos = ', nn_eos |
|---|
| 1039 | nstop = nstop + 1 |
|---|
| 1040 | ! |
|---|
| 1041 | END SELECT |
|---|
| 1042 | ! |
|---|
| 1043 | END SUBROUTINE eos_fzp_2d |
|---|
| 1044 | |
|---|
| 1045 | SUBROUTINE eos_fzp_0d( psal, ptf, pdep ) |
|---|
| 1046 | !!---------------------------------------------------------------------- |
|---|
| 1047 | !! *** ROUTINE eos_fzp *** |
|---|
| 1048 | !! |
|---|
| 1049 | !! ** Purpose : Compute the freezing point temperature [Celcius] |
|---|
| 1050 | !! |
|---|
| 1051 | !! ** Method : UNESCO freezing point (ptf) in Celcius is given by |
|---|
| 1052 | !! ptf(t,z) = (-.0575+1.710523e-3*sqrt(abs(s))-2.154996e-4*s)*s - 7.53e-4*z |
|---|
| 1053 | !! checkvalue: tf=-2.588567 Celsius for s=40psu, z=500m |
|---|
| 1054 | !! |
|---|
| 1055 | !! Reference : UNESCO tech. papers in the marine science no. 28. 1978 |
|---|
| 1056 | !!---------------------------------------------------------------------- |
|---|
| 1057 | REAL(wp), INTENT(in ) :: psal ! salinity [psu] |
|---|
| 1058 | REAL(wp), INTENT(in ), OPTIONAL :: pdep ! depth [m] |
|---|
| 1059 | REAL(wp), INTENT(out) :: ptf ! freezing temperature [Celcius] |
|---|
| 1060 | ! |
|---|
| 1061 | REAL(wp) :: zs ! local scalars |
|---|
| 1062 | !!---------------------------------------------------------------------- |
|---|
| 1063 | ! |
|---|
| 1064 | SELECT CASE ( nn_eos ) |
|---|
| 1065 | ! |
|---|
| 1066 | CASE ( -1, 1 ) !== CT,SA (TEOS-10 formulation) ==! |
|---|
| 1067 | ! |
|---|
| 1068 | zs = SQRT( ABS( psal ) / 35.16504_wp ) ! square root salinity |
|---|
| 1069 | ptf = ((((1.46873e-03_wp*zs-9.64972e-03_wp)*zs+2.28348e-02_wp)*zs & |
|---|
| 1070 | & - 3.12775e-02_wp)*zs+2.07679e-02_wp)*zs-5.87701e-02_wp |
|---|
| 1071 | ptf = ptf * psal |
|---|
| 1072 | ! |
|---|
| 1073 | IF( PRESENT( pdep ) ) ptf = ptf - 7.53e-4 * pdep |
|---|
| 1074 | ! |
|---|
| 1075 | CASE ( 0 ) !== PT,SP (UNESCO formulation) ==! |
|---|
| 1076 | ! |
|---|
| 1077 | ptf = ( - 0.0575_wp + 1.710523e-3_wp * SQRT( psal ) & |
|---|
| 1078 | & - 2.154996e-4_wp * psal ) * psal |
|---|
| 1079 | ! |
|---|
| 1080 | IF( PRESENT( pdep ) ) ptf = ptf - 7.53e-4 * pdep |
|---|
| 1081 | ! |
|---|
| 1082 | CASE DEFAULT |
|---|
| 1083 | IF(lwp) WRITE(numout,cform_err) |
|---|
| 1084 | IF(lwp) WRITE(numout,*) ' bad flag value for nn_eos = ', nn_eos |
|---|
| 1085 | nstop = nstop + 1 |
|---|
| 1086 | ! |
|---|
| 1087 | END SELECT |
|---|
| 1088 | ! |
|---|
| 1089 | END SUBROUTINE eos_fzp_0d |
|---|
| 1090 | |
|---|
| 1091 | |
|---|
| 1092 | SUBROUTINE eos_pen( pts, pab_pe, ppen ) |
|---|
| 1093 | !!---------------------------------------------------------------------- |
|---|
| 1094 | !! *** ROUTINE eos_pen *** |
|---|
| 1095 | !! |
|---|
| 1096 | !! ** Purpose : Calculates nonlinear anomalies of alpha_PE, beta_PE and PE at T-points |
|---|
| 1097 | !! |
|---|
| 1098 | !! ** Method : PE is defined analytically as the vertical |
|---|
| 1099 | !! primitive of EOS times -g integrated between 0 and z>0. |
|---|
| 1100 | !! pen is the nonlinear bsq-PE anomaly: pen = ( PE - rau0 gz ) / rau0 gz - rd |
|---|
| 1101 | !! = 1/z * /int_0^z rd dz - rd |
|---|
| 1102 | !! where rd is the density anomaly (see eos_rhd function) |
|---|
| 1103 | !! ab_pe are partial derivatives of PE anomaly with respect to T and S: |
|---|
| 1104 | !! ab_pe(1) = - 1/(rau0 gz) * dPE/dT + drd/dT = - d(pen)/dT |
|---|
| 1105 | !! ab_pe(2) = 1/(rau0 gz) * dPE/dS + drd/dS = d(pen)/dS |
|---|
| 1106 | !! |
|---|
| 1107 | !! ** Action : - pen : PE anomaly given at T-points |
|---|
| 1108 | !! : - pab_pe : given at T-points |
|---|
| 1109 | !! pab_pe(:,:,:,jp_tem) is alpha_pe |
|---|
| 1110 | !! pab_pe(:,:,:,jp_sal) is beta_pe |
|---|
| 1111 | !!---------------------------------------------------------------------- |
|---|
| 1112 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in ) :: pts ! pot. temperature & salinity |
|---|
| 1113 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT( out) :: pab_pe ! alpha_pe and beta_pe |
|---|
| 1114 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT( out) :: ppen ! potential energy anomaly |
|---|
| 1115 | ! |
|---|
| 1116 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 1117 | REAL(wp) :: zt , zh , zs , ztm ! local scalars |
|---|
| 1118 | REAL(wp) :: zn , zn0, zn1, zn2 ! - - |
|---|
| 1119 | !!---------------------------------------------------------------------- |
|---|
| 1120 | ! |
|---|
| 1121 | IF( nn_timing == 1 ) CALL timing_start('eos_pen') |
|---|
| 1122 | ! |
|---|
| 1123 | SELECT CASE ( nn_eos ) |
|---|
| 1124 | ! |
|---|
| 1125 | CASE( -1, 0 ) !== polynomial TEOS-10 / EOS-80 ==! |
|---|
| 1126 | ! |
|---|
| 1127 | DO jk = 1, jpkm1 |
|---|
| 1128 | DO jj = 1, jpj |
|---|
| 1129 | DO ji = 1, jpi |
|---|
| 1130 | ! |
|---|
| 1131 | zh = fsdept(ji,jj,jk) * r1_Z0 ! depth |
|---|
| 1132 | zt = pts (ji,jj,jk,jp_tem) * r1_T0 ! temperature |
|---|
| 1133 | zs = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity |
|---|
| 1134 | ztm = tmask(ji,jj,jk) ! tmask |
|---|
| 1135 | ! |
|---|
| 1136 | ! potential energy non-linear anomaly |
|---|
| 1137 | zn2 = (PEN012)*zt & |
|---|
| 1138 | & + PEN102*zs+PEN002 |
|---|
| 1139 | ! |
|---|
| 1140 | zn1 = ((PEN021)*zt & |
|---|
| 1141 | & + PEN111*zs+PEN011)*zt & |
|---|
| 1142 | & + (PEN201*zs+PEN101)*zs+PEN001 |
|---|
| 1143 | ! |
|---|
| 1144 | zn0 = ((((PEN040)*zt & |
|---|
| 1145 | & + PEN130*zs+PEN030)*zt & |
|---|
| 1146 | & + (PEN220*zs+PEN120)*zs+PEN020)*zt & |
|---|
| 1147 | & + ((PEN310*zs+PEN210)*zs+PEN110)*zs+PEN010)*zt & |
|---|
| 1148 | & + (((PEN400*zs+PEN300)*zs+PEN200)*zs+PEN100)*zs+PEN000 |
|---|
| 1149 | ! |
|---|
| 1150 | zn = ( zn2 * zh + zn1 ) * zh + zn0 |
|---|
| 1151 | ! |
|---|
| 1152 | ppen(ji,jj,jk) = zn * zh * r1_rau0 * ztm |
|---|
| 1153 | ! |
|---|
| 1154 | ! alphaPE non-linear anomaly |
|---|
| 1155 | zn2 = APE002 |
|---|
| 1156 | ! |
|---|
| 1157 | zn1 = (APE011)*zt & |
|---|
| 1158 | & + APE101*zs+APE001 |
|---|
| 1159 | ! |
|---|
| 1160 | zn0 = (((APE030)*zt & |
|---|
| 1161 | & + APE120*zs+APE020)*zt & |
|---|
| 1162 | & + (APE210*zs+APE110)*zs+APE010)*zt & |
|---|
| 1163 | & + ((APE300*zs+APE200)*zs+APE100)*zs+APE000 |
|---|
| 1164 | ! |
|---|
| 1165 | zn = ( zn2 * zh + zn1 ) * zh + zn0 |
|---|
| 1166 | ! |
|---|
| 1167 | pab_pe(ji,jj,jk,jp_tem) = zn * zh * r1_rau0 * ztm |
|---|
| 1168 | ! |
|---|
| 1169 | ! betaPE non-linear anomaly |
|---|
| 1170 | zn2 = BPE002 |
|---|
| 1171 | ! |
|---|
| 1172 | zn1 = (BPE011)*zt & |
|---|
| 1173 | & + BPE101*zs+BPE001 |
|---|
| 1174 | ! |
|---|
| 1175 | zn0 = (((BPE030)*zt & |
|---|
| 1176 | & + BPE120*zs+BPE020)*zt & |
|---|
| 1177 | & + (BPE210*zs+BPE110)*zs+BPE010)*zt & |
|---|
| 1178 | & + ((BPE300*zs+BPE200)*zs+BPE100)*zs+BPE000 |
|---|
| 1179 | ! |
|---|
| 1180 | zn = ( zn2 * zh + zn1 ) * zh + zn0 |
|---|
| 1181 | ! |
|---|
| 1182 | pab_pe(ji,jj,jk,jp_sal) = zn / zs * zh * r1_rau0 * ztm |
|---|
| 1183 | ! |
|---|
| 1184 | END DO |
|---|
| 1185 | END DO |
|---|
| 1186 | END DO |
|---|
| 1187 | ! |
|---|
| 1188 | CASE( 1 ) !== Vallis (2006) simplified EOS ==! |
|---|
| 1189 | ! |
|---|
| 1190 | DO jk = 1, jpkm1 |
|---|
| 1191 | DO jj = 1, jpj |
|---|
| 1192 | DO ji = 1, jpi |
|---|
| 1193 | zt = pts(ji,jj,jk,jp_tem) - 10._wp ! temperature anomaly (t-T0) |
|---|
| 1194 | zs = pts (ji,jj,jk,jp_sal) - 35._wp ! abs. salinity anomaly (s-S0) |
|---|
| 1195 | zh = fsdept(ji,jj,jk) ! depth in meters at t-point |
|---|
| 1196 | ztm = tmask(ji,jj,jk) ! tmask |
|---|
| 1197 | zn = 0.5_wp * zh * r1_rau0 * ztm |
|---|
| 1198 | ! ! Potential Energy |
|---|
| 1199 | ppen(ji,jj,jk) = ( rn_a0 * rn_mu1 * zt + rn_b0 * rn_mu2 * zs ) * zn |
|---|
| 1200 | ! ! alphaPE |
|---|
| 1201 | pab_pe(ji,jj,jk,jp_tem) = - rn_a0 * rn_mu1 * zn |
|---|
| 1202 | pab_pe(ji,jj,jk,jp_sal) = rn_b0 * rn_mu2 * zn |
|---|
| 1203 | ! |
|---|
| 1204 | END DO |
|---|
| 1205 | END DO |
|---|
| 1206 | END DO |
|---|
| 1207 | ! |
|---|
| 1208 | CASE DEFAULT |
|---|
| 1209 | IF(lwp) WRITE(numout,cform_err) |
|---|
| 1210 | IF(lwp) WRITE(numout,*) ' bad flag value for nn_eos = ', nn_eos |
|---|
| 1211 | nstop = nstop + 1 |
|---|
| 1212 | ! |
|---|
| 1213 | END SELECT |
|---|
| 1214 | ! |
|---|
| 1215 | IF( nn_timing == 1 ) CALL timing_stop('eos_pen') |
|---|
| 1216 | ! |
|---|
| 1217 | END SUBROUTINE eos_pen |
|---|
| 1218 | |
|---|
| 1219 | |
|---|
| 1220 | SUBROUTINE eos_init |
|---|
| 1221 | !!---------------------------------------------------------------------- |
|---|
| 1222 | !! *** ROUTINE eos_init *** |
|---|
| 1223 | !! |
|---|
| 1224 | !! ** Purpose : initializations for the equation of state |
|---|
| 1225 | !! |
|---|
| 1226 | !! ** Method : Read the namelist nameos and control the parameters |
|---|
| 1227 | !!---------------------------------------------------------------------- |
|---|
| 1228 | INTEGER :: ios ! local integer |
|---|
| 1229 | !! |
|---|
| 1230 | NAMELIST/nameos/ nn_eos, ln_useCT, rn_a0, rn_b0, rn_lambda1, rn_mu1, & |
|---|
| 1231 | & rn_lambda2, rn_mu2, rn_nu |
|---|
| 1232 | !!---------------------------------------------------------------------- |
|---|
| 1233 | ! |
|---|
| 1234 | REWIND( numnam_ref ) ! Namelist nameos in reference namelist : equation of state |
|---|
| 1235 | READ ( numnam_ref, nameos, IOSTAT = ios, ERR = 901 ) |
|---|
| 1236 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nameos in reference namelist', lwp ) |
|---|
| 1237 | ! |
|---|
| 1238 | REWIND( numnam_cfg ) ! Namelist nameos in configuration namelist : equation of state |
|---|
| 1239 | READ ( numnam_cfg, nameos, IOSTAT = ios, ERR = 902 ) |
|---|
| 1240 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nameos in configuration namelist', lwp ) |
|---|
| 1241 | IF(lwm) WRITE( numond, nameos ) |
|---|
| 1242 | ! |
|---|
| 1243 | rau0 = 1026._wp !: volumic mass of reference [kg/m3] |
|---|
| 1244 | rcp = 3991.86795711963_wp !: heat capacity [J/K] |
|---|
| 1245 | ! |
|---|
| 1246 | IF(lwp) THEN ! Control print |
|---|
| 1247 | WRITE(numout,*) |
|---|
| 1248 | WRITE(numout,*) 'eos_init : equation of state' |
|---|
| 1249 | WRITE(numout,*) '~~~~~~~~' |
|---|
| 1250 | WRITE(numout,*) ' Namelist nameos : set eos parameters' |
|---|
| 1251 | WRITE(numout,*) ' flag for eq. of state and N^2 nn_eos = ', nn_eos |
|---|
| 1252 | IF( ln_useCT ) THEN |
|---|
| 1253 | WRITE(numout,*) ' model uses Conservative Temperature' |
|---|
| 1254 | WRITE(numout,*) ' Important: model must be initialized with CT and SA fields' |
|---|
| 1255 | ELSE |
|---|
| 1256 | WRITE(numout,*) ' model does not use Conservative Temperature' |
|---|
| 1257 | ENDIF |
|---|
| 1258 | ENDIF |
|---|
| 1259 | ! |
|---|
| 1260 | ! Consistency check on ln_useCT and nn_eos |
|---|
| 1261 | IF ((nn_eos .EQ. -1) .AND. (.NOT. ln_useCT)) THEN |
|---|
| 1262 | CALL ctl_stop("ln_useCT should be set to True if using TEOS-10 (nn_eos=-1)") |
|---|
| 1263 | ELSE IF ((nn_eos .NE. -1) .AND. (ln_useCT)) THEN |
|---|
| 1264 | CALL ctl_stop("ln_useCT should be set to False if using TEOS-80 or simplified equation of state (nn_eos=0 or nn_eos=1)") |
|---|
| 1265 | ENDIF |
|---|
| 1266 | ! |
|---|
| 1267 | SELECT CASE( nn_eos ) ! check option |
|---|
| 1268 | ! |
|---|
| 1269 | CASE( -1 ) !== polynomial TEOS-10 ==! |
|---|
| 1270 | IF(lwp) WRITE(numout,*) |
|---|
| 1271 | IF(lwp) WRITE(numout,*) ' use of TEOS-10 equation of state (cons. temp. and abs. salinity)' |
|---|
| 1272 | ! |
|---|
| 1273 | rdeltaS = 32._wp |
|---|
| 1274 | r1_S0 = 0.875_wp/35.16504_wp |
|---|
| 1275 | r1_T0 = 1._wp/40._wp |
|---|
| 1276 | r1_Z0 = 1.e-4_wp |
|---|
| 1277 | ! |
|---|
| 1278 | EOS000 = 8.0189615746e+02_wp |
|---|
| 1279 | EOS100 = 8.6672408165e+02_wp |
|---|
| 1280 | EOS200 = -1.7864682637e+03_wp |
|---|
| 1281 | EOS300 = 2.0375295546e+03_wp |
|---|
| 1282 | EOS400 = -1.2849161071e+03_wp |
|---|
| 1283 | EOS500 = 4.3227585684e+02_wp |
|---|
| 1284 | EOS600 = -6.0579916612e+01_wp |
|---|
| 1285 | EOS010 = 2.6010145068e+01_wp |
|---|
| 1286 | EOS110 = -6.5281885265e+01_wp |
|---|
| 1287 | EOS210 = 8.1770425108e+01_wp |
|---|
| 1288 | EOS310 = -5.6888046321e+01_wp |
|---|
| 1289 | EOS410 = 1.7681814114e+01_wp |
|---|
| 1290 | EOS510 = -1.9193502195_wp |
|---|
| 1291 | EOS020 = -3.7074170417e+01_wp |
|---|
| 1292 | EOS120 = 6.1548258127e+01_wp |
|---|
| 1293 | EOS220 = -6.0362551501e+01_wp |
|---|
| 1294 | EOS320 = 2.9130021253e+01_wp |
|---|
| 1295 | EOS420 = -5.4723692739_wp |
|---|
| 1296 | EOS030 = 2.1661789529e+01_wp |
|---|
| 1297 | EOS130 = -3.3449108469e+01_wp |
|---|
| 1298 | EOS230 = 1.9717078466e+01_wp |
|---|
| 1299 | EOS330 = -3.1742946532_wp |
|---|
| 1300 | EOS040 = -8.3627885467_wp |
|---|
| 1301 | EOS140 = 1.1311538584e+01_wp |
|---|
| 1302 | EOS240 = -5.3563304045_wp |
|---|
| 1303 | EOS050 = 5.4048723791e-01_wp |
|---|
| 1304 | EOS150 = 4.8169980163e-01_wp |
|---|
| 1305 | EOS060 = -1.9083568888e-01_wp |
|---|
| 1306 | EOS001 = 1.9681925209e+01_wp |
|---|
| 1307 | EOS101 = -4.2549998214e+01_wp |
|---|
| 1308 | EOS201 = 5.0774768218e+01_wp |
|---|
| 1309 | EOS301 = -3.0938076334e+01_wp |
|---|
| 1310 | EOS401 = 6.6051753097_wp |
|---|
| 1311 | EOS011 = -1.3336301113e+01_wp |
|---|
| 1312 | EOS111 = -4.4870114575_wp |
|---|
| 1313 | EOS211 = 5.0042598061_wp |
|---|
| 1314 | EOS311 = -6.5399043664e-01_wp |
|---|
| 1315 | EOS021 = 6.7080479603_wp |
|---|
| 1316 | EOS121 = 3.5063081279_wp |
|---|
| 1317 | EOS221 = -1.8795372996_wp |
|---|
| 1318 | EOS031 = -2.4649669534_wp |
|---|
| 1319 | EOS131 = -5.5077101279e-01_wp |
|---|
| 1320 | EOS041 = 5.5927935970e-01_wp |
|---|
| 1321 | EOS002 = 2.0660924175_wp |
|---|
| 1322 | EOS102 = -4.9527603989_wp |
|---|
| 1323 | EOS202 = 2.5019633244_wp |
|---|
| 1324 | EOS012 = 2.0564311499_wp |
|---|
| 1325 | EOS112 = -2.1311365518e-01_wp |
|---|
| 1326 | EOS022 = -1.2419983026_wp |
|---|
| 1327 | EOS003 = -2.3342758797e-02_wp |
|---|
| 1328 | EOS103 = -1.8507636718e-02_wp |
|---|
| 1329 | EOS013 = 3.7969820455e-01_wp |
|---|
| 1330 | ! |
|---|
| 1331 | ALP000 = -6.5025362670e-01_wp |
|---|
| 1332 | ALP100 = 1.6320471316_wp |
|---|
| 1333 | ALP200 = -2.0442606277_wp |
|---|
| 1334 | ALP300 = 1.4222011580_wp |
|---|
| 1335 | ALP400 = -4.4204535284e-01_wp |
|---|
| 1336 | ALP500 = 4.7983755487e-02_wp |
|---|
| 1337 | ALP010 = 1.8537085209_wp |
|---|
| 1338 | ALP110 = -3.0774129064_wp |
|---|
| 1339 | ALP210 = 3.0181275751_wp |
|---|
| 1340 | ALP310 = -1.4565010626_wp |
|---|
| 1341 | ALP410 = 2.7361846370e-01_wp |
|---|
| 1342 | ALP020 = -1.6246342147_wp |
|---|
| 1343 | ALP120 = 2.5086831352_wp |
|---|
| 1344 | ALP220 = -1.4787808849_wp |
|---|
| 1345 | ALP320 = 2.3807209899e-01_wp |
|---|
| 1346 | ALP030 = 8.3627885467e-01_wp |
|---|
| 1347 | ALP130 = -1.1311538584_wp |
|---|
| 1348 | ALP230 = 5.3563304045e-01_wp |
|---|
| 1349 | ALP040 = -6.7560904739e-02_wp |
|---|
| 1350 | ALP140 = -6.0212475204e-02_wp |
|---|
| 1351 | ALP050 = 2.8625353333e-02_wp |
|---|
| 1352 | ALP001 = 3.3340752782e-01_wp |
|---|
| 1353 | ALP101 = 1.1217528644e-01_wp |
|---|
| 1354 | ALP201 = -1.2510649515e-01_wp |
|---|
| 1355 | ALP301 = 1.6349760916e-02_wp |
|---|
| 1356 | ALP011 = -3.3540239802e-01_wp |
|---|
| 1357 | ALP111 = -1.7531540640e-01_wp |
|---|
| 1358 | ALP211 = 9.3976864981e-02_wp |
|---|
| 1359 | ALP021 = 1.8487252150e-01_wp |
|---|
| 1360 | ALP121 = 4.1307825959e-02_wp |
|---|
| 1361 | ALP031 = -5.5927935970e-02_wp |
|---|
| 1362 | ALP002 = -5.1410778748e-02_wp |
|---|
| 1363 | ALP102 = 5.3278413794e-03_wp |
|---|
| 1364 | ALP012 = 6.2099915132e-02_wp |
|---|
| 1365 | ALP003 = -9.4924551138e-03_wp |
|---|
| 1366 | ! |
|---|
| 1367 | BET000 = 1.0783203594e+01_wp |
|---|
| 1368 | BET100 = -4.4452095908e+01_wp |
|---|
| 1369 | BET200 = 7.6048755820e+01_wp |
|---|
| 1370 | BET300 = -6.3944280668e+01_wp |
|---|
| 1371 | BET400 = 2.6890441098e+01_wp |
|---|
| 1372 | BET500 = -4.5221697773_wp |
|---|
| 1373 | BET010 = -8.1219372432e-01_wp |
|---|
| 1374 | BET110 = 2.0346663041_wp |
|---|
| 1375 | BET210 = -2.1232895170_wp |
|---|
| 1376 | BET310 = 8.7994140485e-01_wp |
|---|
| 1377 | BET410 = -1.1939638360e-01_wp |
|---|
| 1378 | BET020 = 7.6574242289e-01_wp |
|---|
| 1379 | BET120 = -1.5019813020_wp |
|---|
| 1380 | BET220 = 1.0872489522_wp |
|---|
| 1381 | BET320 = -2.7233429080e-01_wp |
|---|
| 1382 | BET030 = -4.1615152308e-01_wp |
|---|
| 1383 | BET130 = 4.9061350869e-01_wp |
|---|
| 1384 | BET230 = -1.1847737788e-01_wp |
|---|
| 1385 | BET040 = 1.4073062708e-01_wp |
|---|
| 1386 | BET140 = -1.3327978879e-01_wp |
|---|
| 1387 | BET050 = 5.9929880134e-03_wp |
|---|
| 1388 | BET001 = -5.2937873009e-01_wp |
|---|
| 1389 | BET101 = 1.2634116779_wp |
|---|
| 1390 | BET201 = -1.1547328025_wp |
|---|
| 1391 | BET301 = 3.2870876279e-01_wp |
|---|
| 1392 | BET011 = -5.5824407214e-02_wp |
|---|
| 1393 | BET111 = 1.2451933313e-01_wp |
|---|
| 1394 | BET211 = -2.4409539932e-02_wp |
|---|
| 1395 | BET021 = 4.3623149752e-02_wp |
|---|
| 1396 | BET121 = -4.6767901790e-02_wp |
|---|
| 1397 | BET031 = -6.8523260060e-03_wp |
|---|
| 1398 | BET002 = -6.1618945251e-02_wp |
|---|
| 1399 | BET102 = 6.2255521644e-02_wp |
|---|
| 1400 | BET012 = -2.6514181169e-03_wp |
|---|
| 1401 | BET003 = -2.3025968587e-04_wp |
|---|
| 1402 | ! |
|---|
| 1403 | PEN000 = -9.8409626043_wp |
|---|
| 1404 | PEN100 = 2.1274999107e+01_wp |
|---|
| 1405 | PEN200 = -2.5387384109e+01_wp |
|---|
| 1406 | PEN300 = 1.5469038167e+01_wp |
|---|
| 1407 | PEN400 = -3.3025876549_wp |
|---|
| 1408 | PEN010 = 6.6681505563_wp |
|---|
| 1409 | PEN110 = 2.2435057288_wp |
|---|
| 1410 | PEN210 = -2.5021299030_wp |
|---|
| 1411 | PEN310 = 3.2699521832e-01_wp |
|---|
| 1412 | PEN020 = -3.3540239802_wp |
|---|
| 1413 | PEN120 = -1.7531540640_wp |
|---|
| 1414 | PEN220 = 9.3976864981e-01_wp |
|---|
| 1415 | PEN030 = 1.2324834767_wp |
|---|
| 1416 | PEN130 = 2.7538550639e-01_wp |
|---|
| 1417 | PEN040 = -2.7963967985e-01_wp |
|---|
| 1418 | PEN001 = -1.3773949450_wp |
|---|
| 1419 | PEN101 = 3.3018402659_wp |
|---|
| 1420 | PEN201 = -1.6679755496_wp |
|---|
| 1421 | PEN011 = -1.3709540999_wp |
|---|
| 1422 | PEN111 = 1.4207577012e-01_wp |
|---|
| 1423 | PEN021 = 8.2799886843e-01_wp |
|---|
| 1424 | PEN002 = 1.7507069098e-02_wp |
|---|
| 1425 | PEN102 = 1.3880727538e-02_wp |
|---|
| 1426 | PEN012 = -2.8477365341e-01_wp |
|---|
| 1427 | ! |
|---|
| 1428 | APE000 = -1.6670376391e-01_wp |
|---|
| 1429 | APE100 = -5.6087643219e-02_wp |
|---|
| 1430 | APE200 = 6.2553247576e-02_wp |
|---|
| 1431 | APE300 = -8.1748804580e-03_wp |
|---|
| 1432 | APE010 = 1.6770119901e-01_wp |
|---|
| 1433 | APE110 = 8.7657703198e-02_wp |
|---|
| 1434 | APE210 = -4.6988432490e-02_wp |
|---|
| 1435 | APE020 = -9.2436260751e-02_wp |
|---|
| 1436 | APE120 = -2.0653912979e-02_wp |
|---|
| 1437 | APE030 = 2.7963967985e-02_wp |
|---|
| 1438 | APE001 = 3.4273852498e-02_wp |
|---|
| 1439 | APE101 = -3.5518942529e-03_wp |
|---|
| 1440 | APE011 = -4.1399943421e-02_wp |
|---|
| 1441 | APE002 = 7.1193413354e-03_wp |
|---|
| 1442 | ! |
|---|
| 1443 | BPE000 = 2.6468936504e-01_wp |
|---|
| 1444 | BPE100 = -6.3170583896e-01_wp |
|---|
| 1445 | BPE200 = 5.7736640125e-01_wp |
|---|
| 1446 | BPE300 = -1.6435438140e-01_wp |
|---|
| 1447 | BPE010 = 2.7912203607e-02_wp |
|---|
| 1448 | BPE110 = -6.2259666565e-02_wp |
|---|
| 1449 | BPE210 = 1.2204769966e-02_wp |
|---|
| 1450 | BPE020 = -2.1811574876e-02_wp |
|---|
| 1451 | BPE120 = 2.3383950895e-02_wp |
|---|
| 1452 | BPE030 = 3.4261630030e-03_wp |
|---|
| 1453 | BPE001 = 4.1079296834e-02_wp |
|---|
| 1454 | BPE101 = -4.1503681096e-02_wp |
|---|
| 1455 | BPE011 = 1.7676120780e-03_wp |
|---|
| 1456 | BPE002 = 1.7269476440e-04_wp |
|---|
| 1457 | ! |
|---|
| 1458 | CASE( 0 ) !== polynomial EOS-80 formulation ==! |
|---|
| 1459 | ! |
|---|
| 1460 | IF(lwp) WRITE(numout,*) |
|---|
| 1461 | IF(lwp) WRITE(numout,*) ' use of EOS-80 equation of state (pot. temp. and pract. salinity)' |
|---|
| 1462 | ! |
|---|
| 1463 | rdeltaS = 20._wp |
|---|
| 1464 | r1_S0 = 1._wp/40._wp |
|---|
| 1465 | r1_T0 = 1._wp/40._wp |
|---|
| 1466 | r1_Z0 = 1.e-4_wp |
|---|
| 1467 | ! |
|---|
| 1468 | EOS000 = 9.5356891948e+02_wp |
|---|
| 1469 | EOS100 = 1.7136499189e+02_wp |
|---|
| 1470 | EOS200 = -3.7501039454e+02_wp |
|---|
| 1471 | EOS300 = 5.1856810420e+02_wp |
|---|
| 1472 | EOS400 = -3.7264470465e+02_wp |
|---|
| 1473 | EOS500 = 1.4302533998e+02_wp |
|---|
| 1474 | EOS600 = -2.2856621162e+01_wp |
|---|
| 1475 | EOS010 = 1.0087518651e+01_wp |
|---|
| 1476 | EOS110 = -1.3647741861e+01_wp |
|---|
| 1477 | EOS210 = 8.8478359933_wp |
|---|
| 1478 | EOS310 = -7.2329388377_wp |
|---|
| 1479 | EOS410 = 1.4774410611_wp |
|---|
| 1480 | EOS510 = 2.0036720553e-01_wp |
|---|
| 1481 | EOS020 = -2.5579830599e+01_wp |
|---|
| 1482 | EOS120 = 2.4043512327e+01_wp |
|---|
| 1483 | EOS220 = -1.6807503990e+01_wp |
|---|
| 1484 | EOS320 = 8.3811577084_wp |
|---|
| 1485 | EOS420 = -1.9771060192_wp |
|---|
| 1486 | EOS030 = 1.6846451198e+01_wp |
|---|
| 1487 | EOS130 = -2.1482926901e+01_wp |
|---|
| 1488 | EOS230 = 1.0108954054e+01_wp |
|---|
| 1489 | EOS330 = -6.2675951440e-01_wp |
|---|
| 1490 | EOS040 = -8.0812310102_wp |
|---|
| 1491 | EOS140 = 1.0102374985e+01_wp |
|---|
| 1492 | EOS240 = -4.8340368631_wp |
|---|
| 1493 | EOS050 = 1.2079167803_wp |
|---|
| 1494 | EOS150 = 1.1515380987e-01_wp |
|---|
| 1495 | EOS060 = -2.4520288837e-01_wp |
|---|
| 1496 | EOS001 = 1.0748601068e+01_wp |
|---|
| 1497 | EOS101 = -1.7817043500e+01_wp |
|---|
| 1498 | EOS201 = 2.2181366768e+01_wp |
|---|
| 1499 | EOS301 = -1.6750916338e+01_wp |
|---|
| 1500 | EOS401 = 4.1202230403_wp |
|---|
| 1501 | EOS011 = -1.5852644587e+01_wp |
|---|
| 1502 | EOS111 = -7.6639383522e-01_wp |
|---|
| 1503 | EOS211 = 4.1144627302_wp |
|---|
| 1504 | EOS311 = -6.6955877448e-01_wp |
|---|
| 1505 | EOS021 = 9.9994861860_wp |
|---|
| 1506 | EOS121 = -1.9467067787e-01_wp |
|---|
| 1507 | EOS221 = -1.2177554330_wp |
|---|
| 1508 | EOS031 = -3.4866102017_wp |
|---|
| 1509 | EOS131 = 2.2229155620e-01_wp |
|---|
| 1510 | EOS041 = 5.9503008642e-01_wp |
|---|
| 1511 | EOS002 = 1.0375676547_wp |
|---|
| 1512 | EOS102 = -3.4249470629_wp |
|---|
| 1513 | EOS202 = 2.0542026429_wp |
|---|
| 1514 | EOS012 = 2.1836324814_wp |
|---|
| 1515 | EOS112 = -3.4453674320e-01_wp |
|---|
| 1516 | EOS022 = -1.2548163097_wp |
|---|
| 1517 | EOS003 = 1.8729078427e-02_wp |
|---|
| 1518 | EOS103 = -5.7238495240e-02_wp |
|---|
| 1519 | EOS013 = 3.8306136687e-01_wp |
|---|
| 1520 | ! |
|---|
| 1521 | ALP000 = -2.5218796628e-01_wp |
|---|
| 1522 | ALP100 = 3.4119354654e-01_wp |
|---|
| 1523 | ALP200 = -2.2119589983e-01_wp |
|---|
| 1524 | ALP300 = 1.8082347094e-01_wp |
|---|
| 1525 | ALP400 = -3.6936026529e-02_wp |
|---|
| 1526 | ALP500 = -5.0091801383e-03_wp |
|---|
| 1527 | ALP010 = 1.2789915300_wp |
|---|
| 1528 | ALP110 = -1.2021756164_wp |
|---|
| 1529 | ALP210 = 8.4037519952e-01_wp |
|---|
| 1530 | ALP310 = -4.1905788542e-01_wp |
|---|
| 1531 | ALP410 = 9.8855300959e-02_wp |
|---|
| 1532 | ALP020 = -1.2634838399_wp |
|---|
| 1533 | ALP120 = 1.6112195176_wp |
|---|
| 1534 | ALP220 = -7.5817155402e-01_wp |
|---|
| 1535 | ALP320 = 4.7006963580e-02_wp |
|---|
| 1536 | ALP030 = 8.0812310102e-01_wp |
|---|
| 1537 | ALP130 = -1.0102374985_wp |
|---|
| 1538 | ALP230 = 4.8340368631e-01_wp |
|---|
| 1539 | ALP040 = -1.5098959754e-01_wp |
|---|
| 1540 | ALP140 = -1.4394226233e-02_wp |
|---|
| 1541 | ALP050 = 3.6780433255e-02_wp |
|---|
| 1542 | ALP001 = 3.9631611467e-01_wp |
|---|
| 1543 | ALP101 = 1.9159845880e-02_wp |
|---|
| 1544 | ALP201 = -1.0286156825e-01_wp |
|---|
| 1545 | ALP301 = 1.6738969362e-02_wp |
|---|
| 1546 | ALP011 = -4.9997430930e-01_wp |
|---|
| 1547 | ALP111 = 9.7335338937e-03_wp |
|---|
| 1548 | ALP211 = 6.0887771651e-02_wp |
|---|
| 1549 | ALP021 = 2.6149576513e-01_wp |
|---|
| 1550 | ALP121 = -1.6671866715e-02_wp |
|---|
| 1551 | ALP031 = -5.9503008642e-02_wp |
|---|
| 1552 | ALP002 = -5.4590812035e-02_wp |
|---|
| 1553 | ALP102 = 8.6134185799e-03_wp |
|---|
| 1554 | ALP012 = 6.2740815484e-02_wp |
|---|
| 1555 | ALP003 = -9.5765341718e-03_wp |
|---|
| 1556 | ! |
|---|
| 1557 | BET000 = 2.1420623987_wp |
|---|
| 1558 | BET100 = -9.3752598635_wp |
|---|
| 1559 | BET200 = 1.9446303907e+01_wp |
|---|
| 1560 | BET300 = -1.8632235232e+01_wp |
|---|
| 1561 | BET400 = 8.9390837485_wp |
|---|
| 1562 | BET500 = -1.7142465871_wp |
|---|
| 1563 | BET010 = -1.7059677327e-01_wp |
|---|
| 1564 | BET110 = 2.2119589983e-01_wp |
|---|
| 1565 | BET210 = -2.7123520642e-01_wp |
|---|
| 1566 | BET310 = 7.3872053057e-02_wp |
|---|
| 1567 | BET410 = 1.2522950346e-02_wp |
|---|
| 1568 | BET020 = 3.0054390409e-01_wp |
|---|
| 1569 | BET120 = -4.2018759976e-01_wp |
|---|
| 1570 | BET220 = 3.1429341406e-01_wp |
|---|
| 1571 | BET320 = -9.8855300959e-02_wp |
|---|
| 1572 | BET030 = -2.6853658626e-01_wp |
|---|
| 1573 | BET130 = 2.5272385134e-01_wp |
|---|
| 1574 | BET230 = -2.3503481790e-02_wp |
|---|
| 1575 | BET040 = 1.2627968731e-01_wp |
|---|
| 1576 | BET140 = -1.2085092158e-01_wp |
|---|
| 1577 | BET050 = 1.4394226233e-03_wp |
|---|
| 1578 | BET001 = -2.2271304375e-01_wp |
|---|
| 1579 | BET101 = 5.5453416919e-01_wp |
|---|
| 1580 | BET201 = -6.2815936268e-01_wp |
|---|
| 1581 | BET301 = 2.0601115202e-01_wp |
|---|
| 1582 | BET011 = -9.5799229402e-03_wp |
|---|
| 1583 | BET111 = 1.0286156825e-01_wp |
|---|
| 1584 | BET211 = -2.5108454043e-02_wp |
|---|
| 1585 | BET021 = -2.4333834734e-03_wp |
|---|
| 1586 | BET121 = -3.0443885826e-02_wp |
|---|
| 1587 | BET031 = 2.7786444526e-03_wp |
|---|
| 1588 | BET002 = -4.2811838287e-02_wp |
|---|
| 1589 | BET102 = 5.1355066072e-02_wp |
|---|
| 1590 | BET012 = -4.3067092900e-03_wp |
|---|
| 1591 | BET003 = -7.1548119050e-04_wp |
|---|
| 1592 | ! |
|---|
| 1593 | PEN000 = -5.3743005340_wp |
|---|
| 1594 | PEN100 = 8.9085217499_wp |
|---|
| 1595 | PEN200 = -1.1090683384e+01_wp |
|---|
| 1596 | PEN300 = 8.3754581690_wp |
|---|
| 1597 | PEN400 = -2.0601115202_wp |
|---|
| 1598 | PEN010 = 7.9263222935_wp |
|---|
| 1599 | PEN110 = 3.8319691761e-01_wp |
|---|
| 1600 | PEN210 = -2.0572313651_wp |
|---|
| 1601 | PEN310 = 3.3477938724e-01_wp |
|---|
| 1602 | PEN020 = -4.9997430930_wp |
|---|
| 1603 | PEN120 = 9.7335338937e-02_wp |
|---|
| 1604 | PEN220 = 6.0887771651e-01_wp |
|---|
| 1605 | PEN030 = 1.7433051009_wp |
|---|
| 1606 | PEN130 = -1.1114577810e-01_wp |
|---|
| 1607 | PEN040 = -2.9751504321e-01_wp |
|---|
| 1608 | PEN001 = -6.9171176978e-01_wp |
|---|
| 1609 | PEN101 = 2.2832980419_wp |
|---|
| 1610 | PEN201 = -1.3694684286_wp |
|---|
| 1611 | PEN011 = -1.4557549876_wp |
|---|
| 1612 | PEN111 = 2.2969116213e-01_wp |
|---|
| 1613 | PEN021 = 8.3654420645e-01_wp |
|---|
| 1614 | PEN002 = -1.4046808820e-02_wp |
|---|
| 1615 | PEN102 = 4.2928871430e-02_wp |
|---|
| 1616 | PEN012 = -2.8729602515e-01_wp |
|---|
| 1617 | ! |
|---|
| 1618 | APE000 = -1.9815805734e-01_wp |
|---|
| 1619 | APE100 = -9.5799229402e-03_wp |
|---|
| 1620 | APE200 = 5.1430784127e-02_wp |
|---|
| 1621 | APE300 = -8.3694846809e-03_wp |
|---|
| 1622 | APE010 = 2.4998715465e-01_wp |
|---|
| 1623 | APE110 = -4.8667669469e-03_wp |
|---|
| 1624 | APE210 = -3.0443885826e-02_wp |
|---|
| 1625 | APE020 = -1.3074788257e-01_wp |
|---|
| 1626 | APE120 = 8.3359333577e-03_wp |
|---|
| 1627 | APE030 = 2.9751504321e-02_wp |
|---|
| 1628 | APE001 = 3.6393874690e-02_wp |
|---|
| 1629 | APE101 = -5.7422790533e-03_wp |
|---|
| 1630 | APE011 = -4.1827210323e-02_wp |
|---|
| 1631 | APE002 = 7.1824006288e-03_wp |
|---|
| 1632 | ! |
|---|
| 1633 | BPE000 = 1.1135652187e-01_wp |
|---|
| 1634 | BPE100 = -2.7726708459e-01_wp |
|---|
| 1635 | BPE200 = 3.1407968134e-01_wp |
|---|
| 1636 | BPE300 = -1.0300557601e-01_wp |
|---|
| 1637 | BPE010 = 4.7899614701e-03_wp |
|---|
| 1638 | BPE110 = -5.1430784127e-02_wp |
|---|
| 1639 | BPE210 = 1.2554227021e-02_wp |
|---|
| 1640 | BPE020 = 1.2166917367e-03_wp |
|---|
| 1641 | BPE120 = 1.5221942913e-02_wp |
|---|
| 1642 | BPE030 = -1.3893222263e-03_wp |
|---|
| 1643 | BPE001 = 2.8541225524e-02_wp |
|---|
| 1644 | BPE101 = -3.4236710714e-02_wp |
|---|
| 1645 | BPE011 = 2.8711395266e-03_wp |
|---|
| 1646 | BPE002 = 5.3661089288e-04_wp |
|---|
| 1647 | ! |
|---|
| 1648 | CASE( 1 ) !== Simplified EOS ==! |
|---|
| 1649 | IF(lwp) THEN |
|---|
| 1650 | WRITE(numout,*) |
|---|
| 1651 | WRITE(numout,*) ' use of simplified eos: rhd(dT=T-10,dS=S-35,Z) = ' |
|---|
| 1652 | WRITE(numout,*) ' [-a0*(1+lambda1/2*dT+mu1*Z)*dT + b0*(1+lambda2/2*dT+mu2*Z)*dS - nu*dT*dS]/rau0' |
|---|
| 1653 | WRITE(numout,*) |
|---|
| 1654 | WRITE(numout,*) ' thermal exp. coef. rn_a0 = ', rn_a0 |
|---|
| 1655 | WRITE(numout,*) ' saline cont. coef. rn_b0 = ', rn_b0 |
|---|
| 1656 | WRITE(numout,*) ' cabbeling coef. rn_lambda1 = ', rn_lambda1 |
|---|
| 1657 | WRITE(numout,*) ' cabbeling coef. rn_lambda2 = ', rn_lambda2 |
|---|
| 1658 | WRITE(numout,*) ' thermobar. coef. rn_mu1 = ', rn_mu1 |
|---|
| 1659 | WRITE(numout,*) ' thermobar. coef. rn_mu2 = ', rn_mu2 |
|---|
| 1660 | WRITE(numout,*) ' 2nd cabbel. coef. rn_nu = ', rn_nu |
|---|
| 1661 | WRITE(numout,*) ' Caution: rn_beta0=0 incompatible with ddm parameterization ' |
|---|
| 1662 | ENDIF |
|---|
| 1663 | ! |
|---|
| 1664 | CASE DEFAULT !== ERROR in nn_eos ==! |
|---|
| 1665 | WRITE(ctmp1,*) ' bad flag value for nn_eos = ', nn_eos |
|---|
| 1666 | CALL ctl_stop( ctmp1 ) |
|---|
| 1667 | ! |
|---|
| 1668 | END SELECT |
|---|
| 1669 | ! |
|---|
| 1670 | rau0_rcp = rau0 * rcp |
|---|
| 1671 | r1_rau0 = 1._wp / rau0 |
|---|
| 1672 | r1_rcp = 1._wp / rcp |
|---|
| 1673 | r1_rau0_rcp = 1._wp / rau0_rcp |
|---|
| 1674 | ! |
|---|
| 1675 | IF(lwp) WRITE(numout,*) |
|---|
| 1676 | IF(lwp) WRITE(numout,*) ' volumic mass of reference rau0 = ', rau0 , ' kg/m^3' |
|---|
| 1677 | IF(lwp) WRITE(numout,*) ' 1. / rau0 r1_rau0 = ', r1_rau0, ' m^3/kg' |
|---|
| 1678 | IF(lwp) WRITE(numout,*) ' ocean specific heat rcp = ', rcp , ' J/Kelvin' |
|---|
| 1679 | IF(lwp) WRITE(numout,*) ' rau0 * rcp rau0_rcp = ', rau0_rcp |
|---|
| 1680 | IF(lwp) WRITE(numout,*) ' 1. / ( rau0 * rcp ) r1_rau0_rcp = ', r1_rau0_rcp |
|---|
| 1681 | ! |
|---|
| 1682 | END SUBROUTINE eos_init |
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| 1683 | |
|---|
| 1684 | !!====================================================================== |
|---|
| 1685 | END MODULE eosbn2 |
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