| 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 : ! 89-03 (O. Marti) Original code |
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| 8 | !! 6.0 ! 94-07 (G. Madec, M. Imbard) add bn2 |
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| 9 | !! 6.0 ! 94-08 (G. Madec) Add Jackett & McDougall eos |
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| 10 | !! 7.0 ! 96-01 (G. Madec) statement function for e3 |
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| 11 | !! 8.1 ! 97-07 (G. Madec) introduction of neos, OPA8.1 |
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| 12 | !! 8.1 ! 97-07 (G. Madec) density instead of volumic mass |
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| 13 | !! ! 99-02 (G. Madec, N. Grima) semi-implicit pressure gradient |
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| 14 | !! ! 01-09 (M. Ben Jelloul) bugfix onlinear eos |
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| 15 | !! 8.5 ! 02-10 (G. Madec) add eos_init |
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| 16 | !! 8.5 ! 02-11 (G. Madec, A. Bozec) partial step, eos_insitu_2d |
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| 17 | !! 9.0 ! 03-08 (G. Madec) F90, free form |
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| 18 | !! 9.0 ! 06-08 (G. Madec) add tfreez function |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | |
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| 21 | !!---------------------------------------------------------------------- |
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| 22 | !! eos : generic interface of the equation of state |
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| 23 | !! eos_insitu : Compute the in situ density |
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| 24 | !! eos_insitu_pot : Compute the insitu and surface referenced potential |
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| 25 | !! volumic mass |
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| 26 | !! eos_insitu_2d : Compute the in situ density for 2d fields |
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| 27 | !! eos_bn2 : Compute the Brunt-Vaisala frequency |
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| 28 | !! tfreez : Compute the surface freezing temperature |
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| 29 | !! eos_init : set eos parameters (namelist) |
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| 30 | !!---------------------------------------------------------------------- |
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| 31 | USE dom_oce ! ocean space and time domain |
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| 32 | USE phycst ! physical constants |
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| 33 | USE in_out_manager ! I/O manager |
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| 34 | USE zdfddm ! vertical physics: double diffusion |
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| 35 | USE prtctl ! Print control |
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| 36 | |
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| 37 | IMPLICIT NONE |
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| 38 | PRIVATE |
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| 39 | |
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| 40 | !! * Interface |
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| 41 | INTERFACE eos |
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| 42 | MODULE PROCEDURE eos_insitu, eos_insitu_pot, eos_insitu_2d |
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| 43 | END INTERFACE |
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| 44 | INTERFACE bn2 |
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| 45 | MODULE PROCEDURE eos_bn2 |
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| 46 | END INTERFACE |
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| 47 | |
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| 48 | PUBLIC eos ! called by step, istate, tranpc and zpsgrd modules |
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| 49 | PUBLIC eos_init ! called by istate module |
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| 50 | PUBLIC bn2 ! called by step module |
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| 51 | PUBLIC tfreez ! called by sbcice_... modules |
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| 52 | |
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| 53 | !!* Namelist (nameos) |
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| 54 | INTEGER , PUBLIC :: neos = 0 !: = 0/1/2 type of eq. of state and Brunt-Vaisala frequ. |
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| 55 | REAL(wp), PUBLIC :: ralpha = 2.0e-4 !: thermal expension coeff. (linear equation of state) |
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| 56 | REAL(wp), PUBLIC :: rbeta = 7.7e-4 !: saline expension coeff. (linear equation of state) |
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| 57 | |
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| 58 | INTEGER, PUBLIC :: neos_init = 0 !: control flag for initialization |
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| 59 | |
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| 60 | !! * Substitutions |
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| 61 | # include "domzgr_substitute.h90" |
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| 62 | # include "vectopt_loop_substitute.h90" |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | !! OPA 9.0 , LOCEAN-IPSL (2006) |
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| 65 | !! $Id$ |
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| 66 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 67 | !!---------------------------------------------------------------------- |
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| 68 | |
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| 69 | CONTAINS |
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| 70 | |
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| 71 | SUBROUTINE eos_insitu( ptem, psal, prd ) |
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| 72 | !!---------------------------------------------------------------------- |
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| 73 | !! *** ROUTINE eos_insitu *** |
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| 74 | !! |
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| 75 | !! ** Purpose : Compute the in situ density (ratio rho/rau0) from |
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| 76 | !! potential temperature and salinity using an equation of state |
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| 77 | !! defined through the namelist parameter neos. |
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| 78 | !! |
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| 79 | !! ** Method : 3 cases: |
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| 80 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
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| 81 | !! the in situ density is computed directly as a function of |
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| 82 | !! potential temperature relative to the surface (the opa t |
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| 83 | !! variable), salt and pressure (assuming no pressure variation |
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| 84 | !! along geopotential surfaces, i.e. the pressure p in decibars |
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| 85 | !! is approximated by the depth in meters. |
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| 86 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
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| 87 | !! with pressure p decibars |
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| 88 | !! potential temperature t deg celsius |
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| 89 | !! salinity s psu |
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| 90 | !! reference volumic mass rau0 kg/m**3 |
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| 91 | !! in situ volumic mass rho kg/m**3 |
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| 92 | !! in situ density anomalie prd no units |
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| 93 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
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| 94 | !! t = 40 deg celcius, s=40 psu |
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| 95 | !! neos = 1 : linear equation of state function of temperature only |
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| 96 | !! prd(t) = 0.0285 - ralpha * t |
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| 97 | !! neos = 2 : linear equation of state function of temperature and |
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| 98 | !! salinity |
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| 99 | !! prd(t,s) = rbeta * s - ralpha * tn - 1. |
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| 100 | !! Note that no boundary condition problem occurs in this routine |
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| 101 | !! as (ptem,psal) are defined over the whole domain. |
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| 102 | !! |
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| 103 | !! ** Action : compute prd , the in situ density (no units) |
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| 104 | !! |
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| 105 | !! References : Jackett and McDougall, J. Atmos. Ocean. Tech., 1994 |
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| 106 | !!---------------------------------------------------------------------- |
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| 107 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: ptem ! potential temperature [Celcius] |
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| 108 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: psal ! salinity [psu] |
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| 109 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out) :: prd ! in situ density |
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| 110 | !! |
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| 111 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 112 | REAL(wp) :: & |
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| 113 | zt , zs , zh , zsr, & ! temporary scalars |
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| 114 | zr1, zr2, zr3, zr4, & ! " " |
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| 115 | zrhop, ze, zbw, zb, & ! " " |
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| 116 | zd , zc , zaw, za , & ! " " |
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| 117 | zb1, za1, zkw, zk0 ! " " |
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| 118 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws ! temporary workspace |
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| 119 | !!---------------------------------------------------------------------- |
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| 120 | |
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| 121 | IF( neos_init == 0 ) CALL eos_init ! initialization (in not already done) |
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| 122 | |
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| 123 | SELECT CASE ( neos ) |
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| 124 | ! |
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| 125 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
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| 126 | ! |
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| 127 | !CDIR NOVERRCHK |
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| 128 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
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| 129 | ! ! =============== |
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| 130 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 131 | ! ! =============== |
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| 132 | DO jj = 1, jpj |
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| 133 | DO ji = 1, jpi |
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| 134 | zt = ptem(ji,jj,jk) |
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| 135 | zs = psal(ji,jj,jk) |
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| 136 | ! depth |
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| 137 | zh = fsdept(ji,jj,jk) |
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| 138 | ! square root salinity |
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| 139 | zsr= zws(ji,jj,jk) |
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| 140 | ! compute volumic mass pure water at atm pressure |
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| 141 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
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| 142 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
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| 143 | ! seawater volumic mass atm pressure |
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| 144 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
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| 145 | -4.0899e-3 ) *zt+0.824493 |
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| 146 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
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| 147 | zr4= 4.8314e-4 |
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| 148 | |
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| 149 | ! potential volumic mass (reference to the surface) |
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| 150 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
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| 151 | |
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| 152 | ! add the compression terms |
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| 153 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
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| 154 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
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| 155 | zb = zbw + ze * zs |
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| 156 | |
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| 157 | zd = -2.042967e-2 |
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| 158 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
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| 159 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
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| 160 | za = ( zd*zsr + zc ) *zs + zaw |
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| 161 | |
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| 162 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
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| 163 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
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| 164 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
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| 165 | zk0= ( zb1*zsr + za1 )*zs + zkw |
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| 166 | |
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| 167 | ! masked in situ density anomaly |
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| 168 | prd(ji,jj,jk) = ( zrhop / ( 1.0 - zh / ( zk0 - zh * ( za - zh * zb ) ) ) & |
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| 169 | - rau0 ) / rau0 * tmask(ji,jj,jk) |
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| 170 | END DO |
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| 171 | END DO |
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| 172 | ! ! =============== |
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| 173 | END DO ! End of slab |
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| 174 | ! ! =============== |
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| 175 | ! |
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| 176 | CASE ( 1 ) ! Linear formulation function of temperature only |
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| 177 | ! |
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| 178 | ! ! =============== |
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| 179 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 180 | ! ! =============== |
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| 181 | DO jj = 1, jpj |
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| 182 | DO ji = 1, jpi |
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| 183 | zt = ptem(ji,jj,jk) |
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| 184 | zs = psal(ji,jj,jk) |
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| 185 | ! ... density and potential volumic mass |
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| 186 | prd(ji,jj,jk) = ( 0.0285 - ralpha * zt ) * tmask(ji,jj,jk) |
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| 187 | END DO |
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| 188 | END DO |
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| 189 | ! ! =============== |
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| 190 | END DO ! End of slab |
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| 191 | ! ! =============== |
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| 192 | ! |
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| 193 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
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| 194 | ! |
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| 195 | ! ! =============== |
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| 196 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 197 | ! ! =============== |
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| 198 | DO jj = 1, jpj |
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| 199 | DO ji = 1, jpi |
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| 200 | zt = ptem(ji,jj,jk) |
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| 201 | zs = psal(ji,jj,jk) |
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| 202 | ! ... density and potential volumic mass |
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| 203 | prd(ji,jj,jk) = ( rbeta * zs - ralpha * zt ) * tmask(ji,jj,jk) |
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| 204 | END DO |
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| 205 | END DO |
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| 206 | ! ! =============== |
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| 207 | END DO ! End of slab |
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| 208 | ! ! =============== |
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| 209 | ! |
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| 210 | CASE DEFAULT |
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| 211 | ! |
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| 212 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
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| 213 | CALL ctl_stop( ctmp1 ) |
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| 214 | ! |
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| 215 | END SELECT |
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| 216 | ! |
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| 217 | IF(ln_ctl) CALL prt_ctl(tab3d_1=prd, clinfo1=' eos : ', ovlap=1, kdim=jpk) |
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| 218 | ! |
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| 219 | END SUBROUTINE eos_insitu |
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| 220 | |
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| 221 | |
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| 222 | SUBROUTINE eos_insitu_pot( ptem, psal, prd, prhop ) |
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| 223 | !!---------------------------------------------------------------------- |
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| 224 | !! *** ROUTINE eos_insitu_pot *** |
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| 225 | !! |
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| 226 | !! ** Purpose : Compute the in situ density (ratio rho/rau0) and the |
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| 227 | !! potential volumic mass (Kg/m3) from potential temperature and |
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| 228 | !! salinity fields using an equation of state defined through the |
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| 229 | !! namelist parameter neos. |
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| 230 | !! |
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| 231 | !! ** Method : |
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| 232 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
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| 233 | !! the in situ density is computed directly as a function of |
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| 234 | !! potential temperature relative to the surface (the opa t |
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| 235 | !! variable), salt and pressure (assuming no pressure variation |
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| 236 | !! along geopotential surfaces, i.e. the pressure p in decibars |
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| 237 | !! is approximated by the depth in meters. |
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| 238 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
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| 239 | !! rhop(t,s) = rho(t,s,0) |
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| 240 | !! with pressure p decibars |
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| 241 | !! potential temperature t deg celsius |
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| 242 | !! salinity s psu |
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| 243 | !! reference volumic mass rau0 kg/m**3 |
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| 244 | !! in situ volumic mass rho kg/m**3 |
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| 245 | !! in situ density anomalie prd no units |
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| 246 | !! |
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| 247 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
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| 248 | !! t = 40 deg celcius, s=40 psu |
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| 249 | !! |
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| 250 | !! neos = 1 : linear equation of state function of temperature only |
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| 251 | !! prd(t) = ( rho(t) - rau0 ) / rau0 = 0.028 - ralpha * t |
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| 252 | !! rhop(t,s) = rho(t,s) |
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| 253 | !! |
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| 254 | !! neos = 2 : linear equation of state function of temperature and |
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| 255 | !! salinity |
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| 256 | !! prd(t,s) = ( rho(t,s) - rau0 ) / rau0 |
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| 257 | !! = rbeta * s - ralpha * tn - 1. |
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| 258 | !! rhop(t,s) = rho(t,s) |
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| 259 | !! Note that no boundary condition problem occurs in this routine |
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| 260 | !! as (tn,sn) or (ta,sa) are defined over the whole domain. |
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| 261 | !! |
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| 262 | !! ** Action : - prd , the in situ density (no units) |
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| 263 | !! - prhop, the potential volumic mass (Kg/m3) |
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| 264 | !! |
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| 265 | !! References : Jackett and McDougall, J. Atmos. Ocean. Tech., 1994 |
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| 266 | !! Brown and Campana, Mon. Weather Rev., 1978 |
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| 267 | !!---------------------------------------------------------------------- |
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| 268 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: ptem ! potential temperature [Celcius] |
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| 269 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: psal ! salinity [psu] |
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| 270 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out) :: prd ! in situ density |
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| 271 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out) :: prhop ! potential density (surface referenced) |
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| 272 | |
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| 273 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 274 | REAL(wp) :: & ! temporary scalars |
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| 275 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
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| 276 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0 |
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| 277 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
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| 278 | !!---------------------------------------------------------------------- |
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| 279 | |
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| 280 | IF( neos_init == 0 ) CALL eos_init ! initialization (in not already done) |
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| 281 | |
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| 282 | SELECT CASE ( neos ) |
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| 283 | ! |
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| 284 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
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| 285 | ! |
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| 286 | !CDIR NOVERRCHK |
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| 287 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
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| 288 | ! ! =============== |
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| 289 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 290 | ! ! =============== |
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| 291 | DO jj = 1, jpj |
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| 292 | DO ji = 1, jpi |
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| 293 | zt = ptem(ji,jj,jk) |
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| 294 | zs = psal(ji,jj,jk) |
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| 295 | ! depth |
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| 296 | zh = fsdept(ji,jj,jk) |
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| 297 | ! square root salinity |
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| 298 | zsr= zws(ji,jj,jk) |
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| 299 | ! compute volumic mass pure water at atm pressure |
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| 300 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
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| 301 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
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| 302 | ! seawater volumic mass atm pressure |
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| 303 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
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| 304 | -4.0899e-3 ) *zt+0.824493 |
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| 305 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
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| 306 | zr4= 4.8314e-4 |
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| 307 | |
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| 308 | ! potential volumic mass (reference to the surface) |
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| 309 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
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| 310 | |
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| 311 | ! save potential volumic mass |
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| 312 | prhop(ji,jj,jk) = zrhop * tmask(ji,jj,jk) |
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| 313 | |
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| 314 | ! add the compression terms |
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| 315 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
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| 316 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
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| 317 | zb = zbw + ze * zs |
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| 318 | |
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| 319 | zd = -2.042967e-2 |
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| 320 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
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| 321 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
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| 322 | za = ( zd*zsr + zc ) *zs + zaw |
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| 323 | |
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| 324 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
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| 325 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
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| 326 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
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| 327 | zk0= ( zb1*zsr + za1 )*zs + zkw |
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| 328 | |
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| 329 | ! masked in situ density anomaly |
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| 330 | prd(ji,jj,jk) = ( zrhop / ( 1.0 - zh / ( zk0 - zh * ( za - zh * zb ) ) ) & |
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| 331 | - rau0 ) / rau0 * tmask(ji,jj,jk) |
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| 332 | END DO |
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| 333 | END DO |
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| 334 | ! ! =============== |
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| 335 | END DO ! End of slab |
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| 336 | ! ! =============== |
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| 337 | ! |
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| 338 | CASE ( 1 ) ! Linear formulation function of temperature only |
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| 339 | ! |
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| 340 | ! ! =============== |
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| 341 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 342 | ! ! =============== |
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| 343 | DO jj = 1, jpj |
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| 344 | DO ji = 1, jpi |
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| 345 | zt = ptem(ji,jj,jk) |
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| 346 | zs = psal(ji,jj,jk) |
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| 347 | ! ... density and potential volumic mass |
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| 348 | prd (ji,jj,jk) = ( 0.0285 - ralpha * zt ) * tmask(ji,jj,jk) |
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| 349 | prhop(ji,jj,jk) = ( rau0 * prd(ji,jj,jk) + rau0 ) * tmask(ji,jj,jk) |
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| 350 | END DO |
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| 351 | END DO |
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| 352 | ! ! =============== |
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| 353 | END DO ! End of slab |
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| 354 | ! ! =============== |
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| 355 | ! |
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| 356 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
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| 357 | ! |
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| 358 | ! ! =============== |
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| 359 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 360 | ! ! =============== |
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| 361 | DO jj = 1, jpj |
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| 362 | DO ji = 1, jpi |
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| 363 | zt = ptem(ji,jj,jk) |
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| 364 | zs = psal(ji,jj,jk) |
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| 365 | ! ... density and potential volumic mass |
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| 366 | prd (ji,jj,jk) = ( rbeta * zs - ralpha * zt ) * tmask(ji,jj,jk) |
|---|
| 367 | prhop(ji,jj,jk) = ( rau0 * prd(ji,jj,jk) + rau0 ) * tmask(ji,jj,jk) |
|---|
| 368 | END DO |
|---|
| 369 | END DO |
|---|
| 370 | ! ! =============== |
|---|
| 371 | END DO ! End of slab |
|---|
| 372 | ! ! =============== |
|---|
| 373 | ! |
|---|
| 374 | CASE DEFAULT |
|---|
| 375 | ! |
|---|
| 376 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
|---|
| 377 | CALL ctl_stop( ctmp1 ) |
|---|
| 378 | ! |
|---|
| 379 | END SELECT |
|---|
| 380 | ! |
|---|
| 381 | IF(ln_ctl) CALL prt_ctl( tab3d_1=prd, clinfo1=' eos-p: ', tab3d_2=prhop, clinfo2=' pot : ', ovlap=1, kdim=jpk ) |
|---|
| 382 | ! |
|---|
| 383 | END SUBROUTINE eos_insitu_pot |
|---|
| 384 | |
|---|
| 385 | |
|---|
| 386 | SUBROUTINE eos_insitu_2d( ptem, psal, pdep, prd ) |
|---|
| 387 | !!---------------------------------------------------------------------- |
|---|
| 388 | !! *** ROUTINE eos_insitu_2d *** |
|---|
| 389 | !! |
|---|
| 390 | !! ** Purpose : Compute the in situ density (ratio rho/rau0) from |
|---|
| 391 | !! potential temperature and salinity using an equation of state |
|---|
| 392 | !! defined through the namelist parameter neos. * 2D field case |
|---|
| 393 | !! |
|---|
| 394 | !! ** Method : |
|---|
| 395 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
|---|
| 396 | !! the in situ density is computed directly as a function of |
|---|
| 397 | !! potential temperature relative to the surface (the opa t |
|---|
| 398 | !! variable), salt and pressure (assuming no pressure variation |
|---|
| 399 | !! along geopotential surfaces, i.e. the pressure p in decibars |
|---|
| 400 | !! is approximated by the depth in meters. |
|---|
| 401 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
|---|
| 402 | !! with pressure p decibars |
|---|
| 403 | !! potential temperature t deg celsius |
|---|
| 404 | !! salinity s psu |
|---|
| 405 | !! reference volumic mass rau0 kg/m**3 |
|---|
| 406 | !! in situ volumic mass rho kg/m**3 |
|---|
| 407 | !! in situ density anomalie prd no units |
|---|
| 408 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
|---|
| 409 | !! t = 40 deg celcius, s=40 psu |
|---|
| 410 | !! neos = 1 : linear equation of state function of temperature only |
|---|
| 411 | !! prd(t) = 0.0285 - ralpha * t |
|---|
| 412 | !! neos = 2 : linear equation of state function of temperature and |
|---|
| 413 | !! salinity |
|---|
| 414 | !! prd(t,s) = rbeta * s - ralpha * tn - 1. |
|---|
| 415 | !! Note that no boundary condition problem occurs in this routine |
|---|
| 416 | !! as (ptem,psal) are defined over the whole domain. |
|---|
| 417 | !! |
|---|
| 418 | !! ** Action : - prd , the in situ density (no units) |
|---|
| 419 | !! |
|---|
| 420 | !! References : Jackett and McDougall, J. Atmos. Ocean. Tech., 1994 |
|---|
| 421 | !!---------------------------------------------------------------------- |
|---|
| 422 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptem ! potential temperature [Celcius] |
|---|
| 423 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: psal ! salinity [psu] |
|---|
| 424 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pdep ! depth [m] |
|---|
| 425 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: prd ! in situ density |
|---|
| 426 | !! |
|---|
| 427 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 428 | REAL(wp) :: & ! temporary scalars |
|---|
| 429 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
|---|
| 430 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
|---|
| 431 | zmask |
|---|
| 432 | REAL(wp), DIMENSION(jpi,jpj) :: zws |
|---|
| 433 | !!---------------------------------------------------------------------- |
|---|
| 434 | |
|---|
| 435 | IF( neos_init == 0 ) CALL eos_init ! initialization (in not already done) |
|---|
| 436 | |
|---|
| 437 | prd(:,:) = 0.e0 |
|---|
| 438 | |
|---|
| 439 | SELECT CASE ( neos ) |
|---|
| 440 | ! |
|---|
| 441 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
|---|
| 442 | ! |
|---|
| 443 | !CDIR NOVERRCHK |
|---|
| 444 | DO jj = 1, jpjm1 |
|---|
| 445 | !CDIR NOVERRCHK |
|---|
| 446 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 447 | zws(ji,jj) = SQRT( ABS( psal(ji,jj) ) ) |
|---|
| 448 | END DO |
|---|
| 449 | END DO |
|---|
| 450 | ! ! =============== |
|---|
| 451 | DO jj = 1, jpjm1 ! Horizontal slab |
|---|
| 452 | ! ! =============== |
|---|
| 453 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 454 | zmask = tmask(ji,jj,1) ! land/sea bottom mask = surf. mask |
|---|
| 455 | |
|---|
| 456 | zt = ptem (ji,jj) ! interpolated T |
|---|
| 457 | zs = psal (ji,jj) ! interpolated S |
|---|
| 458 | zsr= zws(ji,jj) ! square root of interpolated S |
|---|
| 459 | zh = pdep(ji,jj) ! depth at the partial step level |
|---|
| 460 | |
|---|
| 461 | ! compute volumic mass pure water at atm pressure |
|---|
| 462 | zr1 = ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
|---|
| 463 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
|---|
| 464 | ! seawater volumic mass atm pressure |
|---|
| 465 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 )*zt+7.6438e-5 ) *zt & |
|---|
| 466 | -4.0899e-3 ) *zt+0.824493 |
|---|
| 467 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
|---|
| 468 | zr4= 4.8314e-4 |
|---|
| 469 | |
|---|
| 470 | ! potential volumic mass (reference to the surface) |
|---|
| 471 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
|---|
| 472 | |
|---|
| 473 | ! add the compression terms |
|---|
| 474 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
|---|
| 475 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
|---|
| 476 | zb = zbw + ze * zs |
|---|
| 477 | |
|---|
| 478 | zd = -2.042967e-2 |
|---|
| 479 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
|---|
| 480 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt -4.721788 |
|---|
| 481 | za = ( zd*zsr + zc ) *zs + zaw |
|---|
| 482 | |
|---|
| 483 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
|---|
| 484 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
|---|
| 485 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt & |
|---|
| 486 | +2098.925 ) *zt+190925.6 |
|---|
| 487 | zk0= ( zb1*zsr + za1 )*zs + zkw |
|---|
| 488 | |
|---|
| 489 | ! masked in situ density anomaly |
|---|
| 490 | prd(ji,jj) = ( zrhop / ( 1.0 - zh / ( zk0 - zh * ( za - zh * zb ) ) ) - rau0 ) & |
|---|
| 491 | & / rau0 * zmask |
|---|
| 492 | END DO |
|---|
| 493 | ! ! =============== |
|---|
| 494 | END DO ! End of slab |
|---|
| 495 | ! ! =============== |
|---|
| 496 | ! |
|---|
| 497 | CASE ( 1 ) ! Linear formulation function of temperature only |
|---|
| 498 | ! |
|---|
| 499 | ! ! =============== |
|---|
| 500 | DO jj = 1, jpjm1 ! Horizontal slab |
|---|
| 501 | ! ! =============== |
|---|
| 502 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 503 | prd(ji,jj) = ( 0.0285 - ralpha * ptem(ji,jj) ) * tmask(ji,jj,1) |
|---|
| 504 | END DO |
|---|
| 505 | ! ! =============== |
|---|
| 506 | END DO ! End of slab |
|---|
| 507 | ! ! =============== |
|---|
| 508 | ! |
|---|
| 509 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
|---|
| 510 | ! |
|---|
| 511 | ! ! =============== |
|---|
| 512 | DO jj = 1, jpjm1 ! Horizontal slab |
|---|
| 513 | ! ! =============== |
|---|
| 514 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 515 | prd(ji,jj) = ( rbeta * psal(ji,jj) - ralpha * ptem(ji,jj) ) * tmask(ji,jj,1) |
|---|
| 516 | END DO |
|---|
| 517 | ! ! =============== |
|---|
| 518 | END DO ! End of slab |
|---|
| 519 | ! ! =============== |
|---|
| 520 | ! |
|---|
| 521 | CASE DEFAULT |
|---|
| 522 | ! |
|---|
| 523 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
|---|
| 524 | CALL ctl_stop( ctmp1 ) |
|---|
| 525 | ! |
|---|
| 526 | END SELECT |
|---|
| 527 | |
|---|
| 528 | IF(ln_ctl) CALL prt_ctl( tab2d_1=prd, clinfo1=' eos2d: ' ) |
|---|
| 529 | ! |
|---|
| 530 | END SUBROUTINE eos_insitu_2d |
|---|
| 531 | |
|---|
| 532 | |
|---|
| 533 | SUBROUTINE eos_bn2( ptem, psal, pn2 ) |
|---|
| 534 | !!---------------------------------------------------------------------- |
|---|
| 535 | !! *** ROUTINE eos_bn2 *** |
|---|
| 536 | !! |
|---|
| 537 | !! ** Purpose : Compute the local Brunt-Vaisala frequency at the time- |
|---|
| 538 | !! step of the input arguments |
|---|
| 539 | !! |
|---|
| 540 | !! ** Method : |
|---|
| 541 | !! * neos = 0 : UNESCO sea water properties |
|---|
| 542 | !! The brunt-vaisala frequency is computed using the polynomial |
|---|
| 543 | !! polynomial expression of McDougall (1987): |
|---|
| 544 | !! N^2 = grav * beta * ( alpha/beta*dk[ t ] - dk[ s ] )/e3w |
|---|
| 545 | !! If lk_zdfddm=T, the heat/salt buoyancy flux ratio Rrau is |
|---|
| 546 | !! computed and used in zdfddm module : |
|---|
| 547 | !! Rrau = alpha/beta * ( dk[ t ] / dk[ s ] ) |
|---|
| 548 | !! * neos = 1 : linear equation of state (temperature only) |
|---|
| 549 | !! N^2 = grav * ralpha * dk[ t ]/e3w |
|---|
| 550 | !! * neos = 2 : linear equation of state (temperature & salinity) |
|---|
| 551 | !! N^2 = grav * (ralpha * dk[ t ] - rbeta * dk[ s ] ) / e3w |
|---|
| 552 | !! The use of potential density to compute N^2 introduces e r r o r |
|---|
| 553 | !! in the sign of N^2 at great depths. We recommand the use of |
|---|
| 554 | !! neos = 0, except for academical studies. |
|---|
| 555 | !! Macro-tasked on horizontal slab (jk-loop) |
|---|
| 556 | !! N.B. N^2 is set to zero at the first level (JK=1) in inidtr |
|---|
| 557 | !! and is never used at this level. |
|---|
| 558 | !! |
|---|
| 559 | !! ** Action : - pn2 : the brunt-vaisala frequency |
|---|
| 560 | !! |
|---|
| 561 | !! References : McDougall, J. Phys. Oceanogr., 17, 1950-1964, 1987. |
|---|
| 562 | !!---------------------------------------------------------------------- |
|---|
| 563 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: ptem ! potential temperature [Celcius] |
|---|
| 564 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: psal ! salinity [psu] |
|---|
| 565 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out) :: pn2 ! Brunt-Vaisala frequency [s-1] |
|---|
| 566 | |
|---|
| 567 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 568 | REAL(wp) :: zgde3w, zt, zs, zh, & ! temporary scalars |
|---|
| 569 | & zalbet, zbeta ! " " |
|---|
| 570 | #if defined key_zdfddm |
|---|
| 571 | REAL(wp) :: zds ! temporary scalars |
|---|
| 572 | #endif |
|---|
| 573 | !!---------------------------------------------------------------------- |
|---|
| 574 | |
|---|
| 575 | ! pn2 : first and last levels |
|---|
| 576 | ! --------------------------- |
|---|
| 577 | ! bn^2=0. at jk=1 and jpk set in inidtr.F : no computation |
|---|
| 578 | |
|---|
| 579 | |
|---|
| 580 | ! pn2 : interior points only (2=< jk =< jpkm1 ) |
|---|
| 581 | ! -------------------------- |
|---|
| 582 | |
|---|
| 583 | SELECT CASE ( neos ) |
|---|
| 584 | ! |
|---|
| 585 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
|---|
| 586 | ! |
|---|
| 587 | ! ! =============== |
|---|
| 588 | DO jk = 2, jpkm1 ! Horizontal slab |
|---|
| 589 | ! ! =============== |
|---|
| 590 | DO jj = 1, jpj |
|---|
| 591 | DO ji = 1, jpi |
|---|
| 592 | zgde3w = grav / fse3w(ji,jj,jk) |
|---|
| 593 | zt = 0.5 * ( ptem(ji,jj,jk) + ptem(ji,jj,jk-1) ) ! potential temperature at w-point |
|---|
| 594 | zs = 0.5 * ( psal(ji,jj,jk) + psal(ji,jj,jk-1) ) - 35.0 ! salinity anomaly (s-35) at w-point |
|---|
| 595 | zh = fsdepw(ji,jj,jk) ! depth in meters at w-point |
|---|
| 596 | |
|---|
| 597 | zalbet = ( ( ( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & ! ratio alpha/beta |
|---|
| 598 | & - 0.203814e-03 ) * zt & |
|---|
| 599 | & + 0.170907e-01 ) * zt & |
|---|
| 600 | & + 0.665157e-01 & |
|---|
| 601 | & + ( - 0.678662e-05 * zs & |
|---|
| 602 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
|---|
| 603 | & + ( ( - 0.302285e-13 * zh & |
|---|
| 604 | & - 0.251520e-11 * zs & |
|---|
| 605 | & + 0.512857e-12 * zt * zt ) * zh & |
|---|
| 606 | & - 0.164759e-06 * zs & |
|---|
| 607 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
|---|
| 608 | & + 0.380374e-04 ) * zh |
|---|
| 609 | |
|---|
| 610 | zbeta = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & ! beta |
|---|
| 611 | & - 0.301985e-05 ) * zt & |
|---|
| 612 | & + 0.785567e-03 & |
|---|
| 613 | & + ( 0.515032e-08 * zs & |
|---|
| 614 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
|---|
| 615 | & +( ( 0.121551e-17 * zh & |
|---|
| 616 | & - 0.602281e-15 * zs & |
|---|
| 617 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
|---|
| 618 | & + 0.408195e-10 * zs & |
|---|
| 619 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
|---|
| 620 | & - 0.121555e-07 ) * zh |
|---|
| 621 | |
|---|
| 622 | pn2(ji,jj,jk) = zgde3w * zbeta * tmask(ji,jj,jk) & ! N^2 |
|---|
| 623 | & * ( zalbet * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) & |
|---|
| 624 | & - ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) ) |
|---|
| 625 | #if defined key_zdfddm |
|---|
| 626 | ! !!bug **** caution a traiter zds=dk[S]= 0 !!!! |
|---|
| 627 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) ! Rrau = (alpha / beta) (dk[t] / dk[s]) |
|---|
| 628 | IF ( ABS( zds) <= 1.e-20 ) zds = 1.e-20 |
|---|
| 629 | rrau(ji,jj,jk) = zalbet * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds |
|---|
| 630 | #endif |
|---|
| 631 | END DO |
|---|
| 632 | END DO |
|---|
| 633 | ! ! =============== |
|---|
| 634 | END DO ! End of slab |
|---|
| 635 | ! ! =============== |
|---|
| 636 | ! |
|---|
| 637 | CASE ( 1 ) ! Linear formulation function of temperature only |
|---|
| 638 | ! |
|---|
| 639 | ! ! =============== |
|---|
| 640 | DO jk = 2, jpkm1 ! Horizontal slab |
|---|
| 641 | ! ! =============== |
|---|
| 642 | DO jj = 1, jpj |
|---|
| 643 | DO ji = 1, jpi |
|---|
| 644 | zgde3w = grav / fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 645 | pn2(ji,jj,jk) = zgde3w * ralpha * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) |
|---|
| 646 | END DO |
|---|
| 647 | END DO |
|---|
| 648 | ! ! =============== |
|---|
| 649 | END DO ! End of slab |
|---|
| 650 | ! ! =============== |
|---|
| 651 | ! |
|---|
| 652 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
|---|
| 653 | ! |
|---|
| 654 | ! ! =============== |
|---|
| 655 | DO jk = 2, jpkm1 ! Horizontal slab |
|---|
| 656 | ! ! =============== |
|---|
| 657 | DO jj = 1, jpj |
|---|
| 658 | DO ji = 1, jpi |
|---|
| 659 | zgde3w = grav / fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 660 | pn2(ji,jj,jk) = zgde3w * ( ralpha * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) & |
|---|
| 661 | & - rbeta * ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) ) |
|---|
| 662 | END DO |
|---|
| 663 | END DO |
|---|
| 664 | #if defined key_zdfddm |
|---|
| 665 | ! ! Rrau = (alpha / beta) (dk[t] / dk[s]) |
|---|
| 666 | zalbet = ralpha / rbeta |
|---|
| 667 | DO jj = 1, jpj |
|---|
| 668 | DO ji = 1, jpi |
|---|
| 669 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
|---|
| 670 | IF ( ABS( zds ) <= 1.e-20 ) zds = 1.e-20 |
|---|
| 671 | rrau(ji,jj,jk) = zalbet * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds |
|---|
| 672 | END DO |
|---|
| 673 | END DO |
|---|
| 674 | #endif |
|---|
| 675 | ! ! =============== |
|---|
| 676 | END DO ! End of slab |
|---|
| 677 | ! ! =============== |
|---|
| 678 | ! |
|---|
| 679 | CASE DEFAULT |
|---|
| 680 | ! |
|---|
| 681 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
|---|
| 682 | CALL ctl_stop( ctmp1 ) |
|---|
| 683 | ! |
|---|
| 684 | END SELECT |
|---|
| 685 | |
|---|
| 686 | IF(ln_ctl) CALL prt_ctl(tab3d_1=pn2, clinfo1=' bn2 : ', ovlap=1, kdim=jpk) |
|---|
| 687 | #if defined key_zdfddm |
|---|
| 688 | IF(ln_ctl) CALL prt_ctl(tab3d_1=rrau, clinfo1=' rrau : ', ovlap=1, kdim=jpk) |
|---|
| 689 | #endif |
|---|
| 690 | ! |
|---|
| 691 | END SUBROUTINE eos_bn2 |
|---|
| 692 | |
|---|
| 693 | |
|---|
| 694 | FUNCTION tfreez( psal ) RESULT( ptf ) |
|---|
| 695 | !!---------------------------------------------------------------------- |
|---|
| 696 | !! *** ROUTINE eos_init *** |
|---|
| 697 | !! |
|---|
| 698 | !! ** Purpose : Compute the sea surface freezing temperature [Celcius] |
|---|
| 699 | !! |
|---|
| 700 | !! ** Method : UNESCO freezing point at the surface (pressure = 0???) |
|---|
| 701 | !! freezing point [Celcius]=(-.0575+1.710523e-3*sqrt(abs(s))-2.154996e-4*s)*s-7.53e-4*p |
|---|
| 702 | !! checkvalue: tf= -2.588567 Celsius for s=40.0psu, p=500. decibars |
|---|
| 703 | !! |
|---|
| 704 | !! Reference : UNESCO tech. papers in the marine science no. 28. 1978 |
|---|
| 705 | !!---------------------------------------------------------------------- |
|---|
| 706 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: psal ! salinity [psu] |
|---|
| 707 | REAL(wp), DIMENSION(jpi,jpj) :: ptf ! freezing temperature [Celcius] |
|---|
| 708 | !!---------------------------------------------------------------------- |
|---|
| 709 | ptf(:,:) = ( - 0.0575 + 1.710523e-3 * SQRT( psal(:,:) ) & |
|---|
| 710 | & - 2.154996e-4 * psal(:,:) ) * psal(:,:) |
|---|
| 711 | END FUNCTION tfreez |
|---|
| 712 | |
|---|
| 713 | |
|---|
| 714 | SUBROUTINE eos_init |
|---|
| 715 | !!---------------------------------------------------------------------- |
|---|
| 716 | !! *** ROUTINE eos_init *** |
|---|
| 717 | !! |
|---|
| 718 | !! ** Purpose : initializations for the equation of state |
|---|
| 719 | !! |
|---|
| 720 | !! ** Method : Read the namelist nameos and control the parameters |
|---|
| 721 | !!---------------------------------------------------------------------- |
|---|
| 722 | NAMELIST/nameos/ neos, ralpha, rbeta |
|---|
| 723 | |
|---|
| 724 | neos_init = 1 ! indicate that the initialization has been done |
|---|
| 725 | |
|---|
| 726 | REWIND( numnam ) ! Read Namelist nameos : equation of state |
|---|
| 727 | READ ( numnam, nameos ) |
|---|
| 728 | |
|---|
| 729 | ! Control print |
|---|
| 730 | IF(lwp) THEN |
|---|
| 731 | WRITE(numout,*) |
|---|
| 732 | WRITE(numout,*) 'eos_init : equation of state' |
|---|
| 733 | WRITE(numout,*) '~~~~~~~~' |
|---|
| 734 | WRITE(numout,*) ' Namelist nameos : set eos parameters' |
|---|
| 735 | WRITE(numout,*) ' flag for eq. of state and N^2 neos = ', neos |
|---|
| 736 | WRITE(numout,*) ' thermal exp. coef. (linear) ralpha = ', ralpha |
|---|
| 737 | WRITE(numout,*) ' saline exp. coef. (linear) rbeta = ', rbeta |
|---|
| 738 | ENDIF |
|---|
| 739 | |
|---|
| 740 | SELECT CASE ( neos ) |
|---|
| 741 | |
|---|
| 742 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
|---|
| 743 | IF(lwp) WRITE(numout,*) |
|---|
| 744 | IF(lwp) WRITE(numout,*) ' use of Jackett & McDougall (1994) equation of state and' |
|---|
| 745 | IF(lwp) WRITE(numout,*) ' McDougall (1987) Brunt-Vaisala frequency' |
|---|
| 746 | ! |
|---|
| 747 | CASE ( 1 ) ! Linear formulation function of temperature only |
|---|
| 748 | IF(lwp) WRITE(numout,*) |
|---|
| 749 | IF(lwp) WRITE(numout,*) ' use of linear eos rho(T) = rau0 * ( 1.0285 - ralpha * T )' |
|---|
| 750 | IF( lk_zdfddm ) CALL ctl_stop( ' double diffusive mixing parameterization requires', & |
|---|
| 751 | & ' that T and S are used as state variables' ) |
|---|
| 752 | ! |
|---|
| 753 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
|---|
| 754 | IF(lwp) WRITE(numout,*) |
|---|
| 755 | IF(lwp) WRITE(numout,*) ' use of linear eos rho(T,S) = rau0 * ( rbeta * S - ralpha * T )' |
|---|
| 756 | ! |
|---|
| 757 | CASE DEFAULT ! E R R O R in neos |
|---|
| 758 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
|---|
| 759 | CALL ctl_stop( ctmp1 ) |
|---|
| 760 | END SELECT |
|---|
| 761 | |
|---|
| 762 | END SUBROUTINE eos_init |
|---|
| 763 | |
|---|
| 764 | !!====================================================================== |
|---|
| 765 | END MODULE eosbn2 |
|---|
