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trunk/libf/phylmd/suphec.f90 revision 38 by guez, Thu Jan 6 17:52:19 2011 UTC trunk/phylmd/suphec.f90 revision 328 by guez, Thu Jun 13 14:40:06 2019 UTC
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1  module suphec_m  module suphec_m
2    
3      use nr_util, only: pi, twoPI
4    
5    implicit none    implicit none
6    
7    ! A1.0 Fundamental constants    ! A1.0 Fundamental constants
8    REAL RPI    real, parameter:: RCLUM = 299792458. ! speed of light, m s-1
9    real, parameter::    RCLUM=299792458.    real, parameter:: RHPLA = 6.6260755E-34 ! Planck constant, J s
10    real, parameter::    RHPLA=6.6260755E-34    real, parameter:: KBOL = 1.380658E-23 ! Boltzmann constant, in J K-1
11    real, parameter::    RKBOL=1.380658E-23    real, parameter:: NAVO = 6.0221367E23 ! Avogadro number, in mol-1
   real, parameter::    RNAVO=6.0221367E+23  
12    
13    ! A1.1 Astronomical constants    ! A1.1 Astronomical constants
14    REAL RSIYEA,RSIDAY,ROMEGA  
15    real, parameter::    RDAY=86400.    real, parameter:: RDAY = 86400.
16    real, parameter::    REA=149597870000.  
17    real, parameter::    REPSM=0.409093    REAL, parameter:: RSIYEA = 365.25 * RDAY * 2. * PI / 6.283076
18      ! sideral year, in s
19    
20      REAL, parameter:: RSIDAY = RDAY / (1. + RDAY / RSIYEA) ! sideral day, in s
21      REAL, parameter:: ROMEGA = twoPI / RSIDAY
22    
23    ! A1.2 Geoide    ! A1.2 Geoide
24    REAL R1SA    real, parameter:: RG = 9.80665 ! acceleration of gravity, in m s-2
25    real, parameter::    RG=9.80665    real, parameter:: RA = 6371229.
   real, parameter::    RA=6371229.  
26    
27    ! A1.3 Radiation    ! A1.3 Radiation
28    REAL RSIGMA    REAL, parameter:: rsigma = 2. * pi**5 * (kbol / rhpla)**3 * kbol / rclum**2 &
29           / 15.
30    
31    ! A1.4 Thermodynamic gas phase    ! A1.4 Thermodynamic gas phase
32    REAL R,RD,RV,RCPD,RCPV,RCVD,RCVV    REAL, parameter:: R = NAVO * KBOL ! ideal gas constant, in J K-1 mol-1
33    real, parameter::    RMD=28.9644    real, parameter:: MV = 18.0153 ! molar mass of water, in g mol-1
34    real, parameter::    RMO3=47.9942  
35    real, parameter::    RMV=18.0153    real, parameter:: RV = 1e3 * R / MV
36    REAL RKAPPA,RETV    ! specific ideal gas constant for water vapor, in J K-1 kg-1
37      ! (factor 1e3: conversion from g to kg)
38    
39      real, parameter:: MD = 28.9644 ! molar mass of dry air, in g mol-1
40    
41      real, parameter:: RD = 1e3 * R / MD
42      ! specific ideal gas constant for dry air, in J K-1 kg-1
43      ! (factor 1e3: conversion from g to kg)
44    
45      real, parameter:: RCPV = 4. * RV
46      ! specific heat capacity at constant pressure of water vapor, in J K-1 kg-1
47    
48      real, parameter:: RCVV = RCPV - RV
49      ! specific heat capacity at constant volume of water vapor, in J K-1 kg-1
50    
51    ! A1.5,6 Thermodynamic liquid,solid phases    real, parameter:: RCPD = 7. / 2 * RD
52    REAL RCW,RCS    ! specific heat capacity at constant pressure of dry air, in J K-1 kg-1
53    
54      real, parameter:: RCVD = RCPD - RD
55      ! specific heat capacity at constant volume of dry air, in J K-1 kg-1
56      
57      real, parameter:: RMO3 = 47.9942
58      REAL, parameter:: RKAPPA = RD/RCPD
59      real, parameter:: RETV = RV / RD - 1.
60    
61      ! A1.5, 6 Thermodynamic liquid, solid phases
62    
63      REAL, parameter:: RCW = RCPV ! LIQUID PHASE Cw
64      real, save:: RCS
65    
66    ! A1.7 Thermodynamic transition of phase    ! A1.7 Thermodynamic transition of phase
67    REAL RLMLT    REAL, save:: RLMLT
68    real, parameter::    RTT=273.16    real, parameter:: RTT = 273.16
69    real, parameter::    RLVTT=2.5008E+6  
70    real, parameter::    RLSTT=2.8345E+6    real, parameter:: RLVTT = 2.5008E+6
71    real, parameter::    RATM=100000.    ! specific latent heat of vaporization of water at triple point, in J kg-1
72    
73      real, parameter:: RLSTT = 2.8345E+6
74      real, parameter:: RATM = 1e5
75    
76    ! A1.8 Curve of saturation    ! A1.8 Curve of saturation
77    REAL RALPW,RBETW,RGAMW,RALPS,RBETS,RGAMS    REAL, save:: RALPW, RBETW, RGAMW, RALPS, RBETS, RGAMS
78    real, parameter::    RESTT=611.14    real, parameter:: RESTT = 611.14
79    REAL RALPD,RBETD,RGAMD    REAL, save:: RALPD, RBETD, RGAMD
80    
81    save    private pi
82    
83  contains  contains
84    
85    SUBROUTINE suphec    SUBROUTINE suphec
86    
87      ! From phylmd/suphec.F,v 1.2 2005/06/06 13:16:33      ! From phylmd/suphec.F, version 1.2 2005/06/06 13:16:33
88      ! Initialise certaines constantes et parametres physiques.      ! Initialise certaines constantes et certains paramètres physiques.
89    
90      !------------------------------------------      !------------------------------------------
91    
92      PRINT *, 'Call sequence information: suphec'      PRINT *, 'Call sequence information: suphec'
93    
     ! 1. DEFINE FUNDAMENTAL CONSTANTS  
   
     print *, 'Constants of the ICM'  
     RPI=2.*ASIN(1.)  
     print *, 'Fundamental constants '  
     print '(''           PI = '',E13.7,'' -'')', RPI  
     print '(''            c = '',E13.7,''m s-1'')', RCLUM  
     print '(''            h = '',E13.7,''J s'')', RHPLA  
     print '(''            K = '',E13.7,''J K-1'')', RKBOL  
     print '(''            N = '',E13.7,''mol-1'')', RNAVO  
   
     ! 2. DEFINE ASTRONOMICAL CONSTANTS  
   
     RSIYEA=365.25*RDAY*2.*RPI/6.283076  
     RSIDAY=RDAY/(1.+RDAY/RSIYEA)  
     ROMEGA=2.*RPI/RSIDAY  
   
94      print *, 'Astronomical constants '      print *, 'Astronomical constants '
95      print '(''          day = '',E13.7,'' s'')', RDAY      print '('' omega = '', E13.7, '' s-1'')', ROMEGA
96      print '('' half g. axis = '',E13.7,'' m'')', REA  
97      print '('' mean anomaly = '',E13.7,'' -'')', REPSM      print *, 'Geoid:'
98      print '('' sideral year = '',E13.7,'' s'')', RSIYEA      print '('' Gravity = '', E13.7, '' m s-2'')', RG
99      print '(''  sideral day = '',E13.7,'' s'')', RSIDAY      print '('' Earth radius = '', E13.7, '' m'')', RA
100      print '(''        omega = '',E13.7,'' s-1'')', ROMEGA  
101        print *, 'Radiation constants:'
102      ! 3.    DEFINE GEOIDE.      print '('' Stefan-Bol. = '', E13.7, '' W m-2 K-4'')', RSIGMA
103    
104      R1SA=SNGL(1.D0/DBLE(RA))      print *, 'Thermodynamical constants, gas phase:'
105      print *, '        Geoide      '      print *, "rd = ", RD, "J K-1 kg-1"
106      print '(''      Gravity = '',E13.7,'' m s-2'')', RG      print *, "rv = ", RV, "J K-1 kg-1"
107      print '('' Earth radius = '',E13.7,'' m'')', RA      print '('' Cpd = '', e13.7)', RCPD
108      print '('' Inverse E.R. = '',E13.7,'' m'')', R1SA      print '('' Cvd = '', e13.7)', RCVD
109        print '('' Cvv = '', e13.7)', RCVV
110      ! 4.    DEFINE RADIATION CONSTANTS.      print '('' Rd/Cpd = '', e13.7)', RKAPPA
111        print '('' Rv / Rd - 1 = '', e13.7)', RETV
     rsigma = 2.*rpi**5 * (rkbol/rhpla)**3 * rkbol/rclum/rclum/15.  
     print *, '       Radiation    '  
     print '('' Stefan-Bol.  = '',E13.7,'' W m-2 K-4'')',   RSIGMA  
   
     ! 5.    DEFINE THERMODYNAMIC CONSTANTS, GAS PHASE.  
   
     R=RNAVO*RKBOL  
     RD=1000.*R/RMD  
     RV=1000.*R/RMV  
     RCPD=3.5*RD  
     RCVD=RCPD-RD  
     RCPV=4. *RV  
     RCVV=RCPV-RV  
     RKAPPA=RD/RCPD  
     RETV=RV/RD-1.  
     print *, 'Thermodynamic, gas  '  
     print '('' Perfect gas  = '',e13.7)',  R  
     print '('' Dry air mass = '',e13.7)',  RMD  
     print '('' Ozone   mass = '',e13.7)',  RMO3  
     print '('' Vapour  mass = '',e13.7)',  RMV  
     print '('' Dry air cst. = '',e13.7)',  RD  
     print '('' Vapour  cst. = '',e13.7)',  RV  
     print '(''         Cpd  = '',e13.7)',  RCPD  
     print '(''         Cvd  = '',e13.7)',  RCVD  
     print '(''         Cpv  = '',e13.7)',  RCPV  
     print '(''         Cvv  = '',e13.7)',  RCVV  
     print '(''      Rd/Cpd  = '',e13.7)',  RKAPPA  
     print '(''     Rv/Rd-1  = '',e13.7)',  RETV  
   
     ! 6.    DEFINE THERMODYNAMIC CONSTANTS, LIQUID PHASE.  
   
     RCW=RCPV  
     print *, 'Thermodynamic, liquid  '  
     print '(''         Cw   = '',E13.7)',  RCW  
112    
113      ! 7.    DEFINE THERMODYNAMIC CONSTANTS, SOLID PHASE.      ! 7. DEFINE THERMODYNAMIC CONSTANTS, SOLID PHASE.
114    
115      RCS=RCPV      RCS = RCPV
116      print *, 'thermodynamic, solid'      print *, 'thermodynamic, solid'
117      print '(''         Cs   = '',E13.7)',  RCS      print '('' Cs = '', E13.7)', RCS
118    
119      ! 8.    DEFINE THERMODYNAMIC CONSTANTS, TRANSITION OF PHASE.      ! 8. DEFINE THERMODYNAMIC CONSTANTS, TRANSITION OF PHASE.
120    
121      RLMLT=RLSTT-RLVTT      RLMLT = RLSTT-RLVTT
122      print *, 'Thermodynamic, trans.  '      print *, 'Thermodynamic, transition of phase:'
123      print '('' Fusion point  = '',E13.7)',  RTT      print '('' Fusion point = '', E13.7)', RTT
124      print '(''        RLvTt  = '',E13.7)',  RLVTT      print '('' RLsTt = '', E13.7)', RLSTT
125      print '(''        RLsTt  = '',E13.7)',  RLSTT      print '('' RLMlt = '', E13.7)', RLMLT
126      print '(''        RLMlt  = '',E13.7)',  RLMLT      print '('' Normal pressure = '', E13.7)', RATM
127      print '('' Normal press. = '',E13.7)',  RATM  
128        ! 9. SATURATED VAPOUR PRESSURE.
129      ! 9.    SATURATED VAPOUR PRESSURE.  
130        RGAMW = (RCW-RCPV)/RV
131      RGAMW=(RCW-RCPV)/RV      RBETW = RLVTT/RV+RGAMW*RTT
132      RBETW=RLVTT/RV+RGAMW*RTT      RALPW = LOG(RESTT)+RBETW/RTT+RGAMW*LOG(RTT)
133      RALPW=LOG(RESTT)+RBETW/RTT+RGAMW*LOG(RTT)      RGAMS = (RCS-RCPV)/RV
134      RGAMS=(RCS-RCPV)/RV      RBETS = RLSTT/RV+RGAMS*RTT
135      RBETS=RLSTT/RV+RGAMS*RTT      RALPS = LOG(RESTT)+RBETS/RTT+RGAMS*LOG(RTT)
136      RALPS=LOG(RESTT)+RBETS/RTT+RGAMS*LOG(RTT)      RGAMD = RGAMS-RGAMW
137      RGAMD=RGAMS-RGAMW      RBETD = RBETS-RBETW
138      RBETD=RBETS-RBETW      RALPD = RALPS-RALPW
     RALPD=RALPS-RALPW  
139    
140    END SUBROUTINE suphec    END SUBROUTINE suphec
141    
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