/[MITgcm]/MITgcm/pkg/sbo/sbo_rho.F
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Contents of /MITgcm/pkg/sbo/sbo_rho.F

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Revision 1.2 - (show annotations) (download)
Tue Feb 18 05:33:55 2003 UTC (21 years, 4 months ago) by dimitri
Branch: MAIN
CVS Tags: checkpoint50c_post, checkpoint50c_pre, checkpoint48i_post, checkpoint50d_pre, checkpoint51, checkpoint50, checkpoint50d_post, checkpoint50b_pre, checkpoint51f_post, checkpoint51d_post, checkpoint51j_post, checkpoint48f_post, checkpoint48h_post, checkpoint51b_pre, checkpoint51h_pre, checkpoint50f_post, checkpoint50a_post, checkpoint50f_pre, branchpoint-genmake2, checkpoint51b_post, checkpoint51c_post, checkpoint50g_post, checkpoint50h_post, checkpoint50e_pre, checkpoint50i_post, checkpoint51i_pre, checkpoint50e_post, checkpoint51e_post, checkpoint49, checkpoint51f_pre, checkpoint48g_post, checkpoint51g_post, checkpoint50b_post, checkpoint51a_post
Branch point for: branch-genmake2, ecco-branch
Changes since 1.1: +120 -0 lines 
Merging from release1_p12:
o Modifications for using pkg/exf with pkg/seaice
  - improved description of the various forcing configurations
  - added basic radiation bulk formulae to pkg/exf
  - units/sign fix for evap computation in exf_getffields.F
  - updated verification/global_with_exf/results/output.txt
o Added pkg/sbo for computing IERS Special Bureau for the Oceans
  (SBO) core products, including oceanic mass, center-of-mass,
  angular, and bottom pressure (see pkg/sbo/README.sbo).
o Lower bound for viscosity/diffusivity in pkg/kpp/kpp_routines.F
  to avoid negative values in shallow regions.
  - updated verification/natl_box/results/output.txt
  - updated verification/lab_sea/results/output.txt
o MPI gather, scatter: eesupp/src/gather_2d.F and scatter_2d.F
o Added useSingleCpuIO option (see PARAMS.h).
o Updated useSingleCpuIO option in mdsio_writefield.F to
  work with multi-field files, e.g., for single-file pickup.
o pkg/seaice:
  - bug fix in growth.F: QNET for no shortwave case
  - added HeffFile for specifying initial sea-ice thickness
  - changed SEAICE_EXTERNAL_FLUXES wind stress implementation
o Added missing /* */ to CPP comments in pkg/seaice, pkg/exf,
  kpp_transport_t.F, forward_step.F, and the_main_loop.F
o pkg/seaice:
  - adjoint-friendly modifications
  - added a SEAICE_WRITE_PICKUP at end of the_model_main.F
1 C $Header:
2
3 #include "SBO_OPTIONS.h"
4
5 _RL FUNCTION SBO_RHO( DPT, LAT, S, T )
6 C /==========================================================\
7 C | _RL FUNCTION SBO_RHO |
8 C | o Compute density for SBO package. |
9 C |==========================================================|
10 C | CHECK VALUE: |
11 C | DPT=5000; LAT=30; S=30; T=30; SBO_RHO=1038.298 |
12 C \==========================================================/
13 IMPLICIT NONE
14
15 C == Routine arguments ==
16 C SBO_RHO - density (kg/m^3)
17 C DPT - depth (m)
18 C LAT - latitude north (deg)
19 C S - salinity (PSU)
20 C T - potential temperature (deg C)
21
22 _RL DPT,LAT,S,T
23
24 _RL PLAT,D,C1,P,PR,Q,X,SR,V350P,B
25
26 Real*8 PI
27 PARAMETER ( PI = 3.14159265358979323844D0 )
28
29 C First convert depth to pressure
30 C Ref: Saunders, "Practical Conversion of Pressure to Depth",
31 C J. Phys. Oceanog., April 1981.
32 C CHECK VALUE: P80=7500.004 DBARS;FOR LAT=30 DEG., DEPTH=7321.45 METERS
33
34 PLAT=abs(LAT*pi/180.)
35 D=sin(PLAT)
36 C1=5.92E-3+(D*D)*5.25E-3
37 P=((1-C1)-sqrt(((1-C1)**2)-(8.84E-6*abs(DPT))))/4.42E-6
38
39 C Second convert temperature from potential to in situ
40 C REF: BRYDEN,H.,1973,DEEP-SEA RES.,20,401-408
41 C FOFONOFF,N.,1977,DEEP-SEA RES.,24,489-491
42 C CHECKVALUE: THETA= 36.89073 C,S=40 (IPSS-78),T0=40 DEG C,
43 C P0=10000 DECIBARS,PR=0 DECIBARS
44
45 PR = P
46 P = 0.
47 Q = PR*((((-2.1687E-16*T+1.8676E-14)*T-4.6206E-13)*P+
48 & ((2.7759E-12*T-1.1351E-10)*(S-35.0)+
49 & ((-5.4481E-14*T+8.733E-12)*T-6.7795E-10)*T+
50 & 1.8741E-8))*P+(-4.2393E-8*T+1.8932E-6)*(S-35.0)+
51 & ((6.6228E-10*T-6.836E-8)*T+8.5258E-6)*T+3.5803E-5)
52
53 T = T + 0.5*Q
54 P = P + 0.5*PR
55 x = PR*((((-2.1687E-16*T+1.8676E-14)*T-4.6206E-13)*P+
56 & ((2.7759E-12*T-1.1351E-10)*(S-35.0)+
57 & ((-5.4481E-14*T+8.733E-12)*T-6.7795E-10)*T+
58 & 1.8741E-8))*P+(-4.2393E-8*T+1.8932E-6)*(S-35.0)+
59 & ((6.6228E-10*T-6.836E-8)*T+8.5258E-6)*T+3.5803E-5)
60
61 T = T + 0.29289322*(x-Q)
62 Q = 0.58578644*x + 0.121320344*Q
63 x = PR*((((-2.1687E-16*T+1.8676E-14)*T-4.6206E-13)*P+
64 & ((2.7759E-12*T-1.1351E-10)*(S-35.0)+
65 & ((-5.4481E-14*T+8.733E-12)*T-6.7795E-10)*T+
66 & 1.8741E-8))*P+(-4.2393E-8*T+1.8932E-6)*(S-35.0)+
67 & ((6.6228E-10*T-6.836E-8)*T+8.5258E-6)*T+3.5803E-5)
68
69 T = T + 1.707106781*(x-Q)
70 Q = 3.414213562*x - 4.121320344*Q
71 P = P + 0.5*PR
72 x = PR*((((-2.1687E-16*T+1.8676E-14)*T-4.6206E-13)*P+
73 & ((2.7759E-12*T-1.1351E-10)*(S-35.0)+
74 & ((-5.4481E-14*T+8.733E-12)*T-6.7795E-10)*T+
75 & 1.8741E-8))*P+(-4.2393E-8*T+1.8932E-6)*(S-35.0)+
76 & ((6.6228E-10*T-6.836E-8)*T+8.5258E-6)*T+3.5803E-5)
77 T = T + (x-2.0*Q)/6.0
78
79 C Third compute density
80 C BASED ON 1980 EQUATION
81 C OF STATE FOR SEAWATER AND 1978 PRACTICAL SALINITY SCALE.
82 C REFERENCES
83 C MILLERO, ET AL (1980) DEEP-SEA RES.,27A,255-264
84 C MILLERO AND POISSON 1981,DEEP-SEA RES.,28A PP 625-629.
85 C BOTH ABOVE REFERENCES ARE ALSO FOUND IN UNESCO REPORT 38 (1981)
86 C CHECK VALUE: SIGMA = 59.82037 KG/M**3 FOR S = 40 (IPSS-78) ,
87 C T = 40 DEG C, P0= 10000 DECIBARS.
88
89 C CONVERT PRESSURE TO BARS AND TAKE SQUARE ROOT SALINITY.
90 P=P/10.
91 SR = sqrt(abs(S))
92
93 C INTERNATIONAL ONE-ATMOSPHERE EQUATION OF STATE OF SEAWATER
94 x = (4.8314E-4 * S +
95 & ((-1.6546E-6*T+1.0227E-4)*T-5.72466E-3) * SR +
96 & (((5.3875E-9*T-8.2467E-7)*T+7.6438E-5)*T-4.0899E-3)*T
97 & +8.24493E-1)*S + ((((6.536332E-9*T-1.120083E-6)
98 & *T+1.001685E-4)*T-9.095290E-3)*T+6.793952E-2)*T-28.263737
99
100 C SPECIFIC VOLUME AT ATMOSPHERIC PRESSURE
101 V350P = 1.0/1028.1063
102 x = -x*V350P/(1028.1063+x)
103
104 C COMPUTE COMPRESSION TERMS
105 SR = ((((9.1697E-10*T+2.0816E-8)*T-9.9348E-7) * S +
106 & (5.2787E-8*T-6.12293E-6)*T+3.47718E-5) *P +
107 & (1.91075E-4 * SR + (-1.6078E-6*T-1.0981E-5)*T+2.2838E-3) *
108 & S + ((-5.77905E-7*T+1.16092E-4)*T+1.43713E-3)*T-0.1194975)
109 & *P + (((-5.3009E-4*T+1.6483E-2)*T+7.944E-2) * SR +
110 & ((-6.1670E-5*T+1.09987E-2)*T-0.603459)*T+54.6746) * S +
111 & (((-5.155288E-5*T+1.360477E-2)*T-2.327105)*T+148.4206)*T-1930.06
112
113 C EVALUATE PRESSURE POLYNOMIAL
114 B = (5.03217E-5*P+3.359406)*P+21582.27
115 x = x*(1.0 - P/B) + (V350P+x)*P*SR/(B*(B+SR))
116 SR = V350P*(1.0 - P/B)
117 SBO_RHO = 1028.106331 + P/B/SR - x / (SR*(SR+x))
118
119 RETURN
120 END
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