1 | MODULE tide_mod |
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2 | !!====================================================================== |
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3 | !! *** MODULE tide_mod *** |
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4 | !! Compute nodal modulations corrections and pulsations |
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5 | !!====================================================================== |
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6 | !! History : 1.0 ! 2007 (O. Le Galloudec) Original code |
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7 | !!---------------------------------------------------------------------- |
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8 | USE oce ! ocean dynamics and tracers variables |
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9 | USE dom_oce ! ocean space and time domain |
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10 | USE phycst ! physical constant |
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11 | USE daymod ! calendar |
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12 | ! |
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13 | USE in_out_manager ! I/O units |
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14 | USE iom ! xIOs server |
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15 | USE ioipsl ! NetCDF IPSL library |
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16 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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17 | |
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18 | IMPLICIT NONE |
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19 | PRIVATE |
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20 | |
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21 | PUBLIC tide_init |
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22 | PUBLIC tide_harmo ! called by tideini and diaharm modules |
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23 | PUBLIC tide_init_Wave ! called by tideini and diaharm modules |
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24 | PUBLIC tide_init_load |
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25 | PUBLIC tide_init_potential |
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26 | PUBLIC upd_tide ! called in dynspg_... modules |
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27 | |
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28 | INTEGER, PUBLIC, PARAMETER :: jpmax_harmo = 19 !: maximum number of harmonic |
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29 | |
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30 | TYPE, PUBLIC :: tide |
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31 | CHARACTER(LEN=4) :: cname_tide |
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32 | REAL(wp) :: equitide |
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33 | INTEGER :: nutide |
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34 | INTEGER :: nt, ns, nh, np, np1, shift |
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35 | INTEGER :: nksi, nnu0, nnu1, nnu2, R |
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36 | INTEGER :: nformula |
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37 | END TYPE tide |
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38 | |
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39 | TYPE(tide), PUBLIC, DIMENSION(jpmax_harmo) :: Wave !: |
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40 | |
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41 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:) :: omega_tide !: |
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42 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:) :: v0tide !: |
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43 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:) :: utide !: |
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44 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:) :: ftide !: |
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45 | |
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46 | LOGICAL , PUBLIC :: ln_tide !: |
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47 | LOGICAL , PUBLIC :: ln_tide_pot !: |
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48 | LOGICAL , PUBLIC :: ln_read_load !: |
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49 | LOGICAL , PUBLIC :: ln_scal_load !: |
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50 | LOGICAL , PUBLIC :: ln_tide_ramp !: |
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51 | INTEGER , PUBLIC :: nb_harmo !: |
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52 | INTEGER , PUBLIC :: kt_tide !: |
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53 | REAL(wp), PUBLIC :: rdttideramp !: |
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54 | REAL(wp), PUBLIC :: rn_scal_load !: |
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55 | CHARACTER(lc), PUBLIC :: cn_tide_load !: |
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56 | |
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57 | INTEGER , PUBLIC, ALLOCATABLE, DIMENSION(:) :: ntide !: |
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58 | |
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59 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: pot_astro !: tidal potential |
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60 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:,:) :: amp_pot, phi_pot |
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61 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:,:) :: amp_load, phi_load |
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62 | |
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63 | |
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64 | REAL(wp) :: sh_T, sh_s, sh_h, sh_p, sh_p1 ! astronomic angles |
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65 | REAL(wp) :: sh_xi, sh_nu, sh_nuprim, sh_nusec, sh_R ! |
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66 | REAL(wp) :: sh_I, sh_x1ra, sh_N ! |
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67 | |
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68 | !!---------------------------------------------------------------------- |
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69 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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70 | !! $Id$ |
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71 | !! Software governed by the CeCILL license (see ./LICENSE) |
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72 | !!---------------------------------------------------------------------- |
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73 | CONTAINS |
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74 | |
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75 | SUBROUTINE tide_init |
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76 | !!---------------------------------------------------------------------- |
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77 | !! *** ROUTINE tide_init *** |
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78 | !!---------------------------------------------------------------------- |
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79 | INTEGER :: ji, jk |
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80 | CHARACTER(LEN=4), DIMENSION(jpmax_harmo) :: clname |
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81 | INTEGER :: ios ! Local integer output status for namelist read |
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82 | ! |
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83 | NAMELIST/nam_tide/ln_tide, ln_tide_pot, ln_scal_load, ln_read_load, cn_tide_load, & |
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84 | & ln_tide_ramp, rn_scal_load, rdttideramp, clname |
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85 | !!---------------------------------------------------------------------- |
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86 | ! |
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87 | ! Read Namelist nam_tide |
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88 | REWIND( numnam_ref ) ! Namelist nam_tide in reference namelist : Tides |
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89 | READ ( numnam_ref, nam_tide, IOSTAT = ios, ERR = 901) |
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90 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_tide in reference namelist', lwp ) |
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91 | ! |
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92 | REWIND( numnam_cfg ) ! Namelist nam_tide in configuration namelist : Tides |
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93 | READ ( numnam_cfg, nam_tide, IOSTAT = ios, ERR = 902 ) |
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94 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'nam_tide in configuration namelist', lwp ) |
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95 | IF(lwm) WRITE ( numond, nam_tide ) |
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96 | ! |
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97 | IF( ln_tide ) THEN |
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98 | IF (lwp) THEN |
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99 | WRITE(numout,*) |
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100 | WRITE(numout,*) 'tide_init : Initialization of the tidal components' |
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101 | WRITE(numout,*) '~~~~~~~~~ ' |
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102 | WRITE(numout,*) ' Namelist nam_tide' |
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103 | WRITE(numout,*) ' Use tidal components ln_tide = ', ln_tide |
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104 | WRITE(numout,*) ' Apply astronomical potential ln_tide_pot = ', ln_tide_pot |
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105 | WRITE(numout,*) ' Use scalar approx. for load potential ln_scal_load = ', ln_scal_load |
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106 | WRITE(numout,*) ' Read load potential from file ln_read_load = ', ln_read_load |
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107 | WRITE(numout,*) ' Apply ramp on tides at startup ln_tide_ramp = ', ln_tide_ramp |
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108 | WRITE(numout,*) ' Fraction of SSH used in scal. approx. rn_scal_load = ', rn_scal_load |
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109 | WRITE(numout,*) ' Duration (days) of ramp rdttideramp = ', rdttideramp |
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110 | ENDIF |
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111 | ELSE |
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112 | rn_scal_load = 0._wp |
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113 | |
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114 | IF(lwp) WRITE(numout,*) |
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115 | IF(lwp) WRITE(numout,*) 'tide_init : tidal components not used (ln_tide = F)' |
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116 | IF(lwp) WRITE(numout,*) '~~~~~~~~~ ' |
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117 | RETURN |
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118 | ENDIF |
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119 | ! |
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120 | CALL tide_init_Wave |
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121 | ! |
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122 | nb_harmo=0 |
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123 | DO jk = 1, jpmax_harmo |
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124 | DO ji = 1,jpmax_harmo |
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125 | IF( TRIM(clname(jk)) == Wave(ji)%cname_tide ) nb_harmo = nb_harmo + 1 |
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126 | END DO |
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127 | END DO |
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128 | ! |
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129 | ! Ensure that tidal components have been set in namelist_cfg |
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130 | IF( nb_harmo == 0 ) CALL ctl_stop( 'tide_init : No tidal components set in nam_tide' ) |
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131 | ! |
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132 | IF( ln_read_load.AND.(.NOT.ln_tide_pot) ) & |
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133 | & CALL ctl_stop('ln_read_load requires ln_tide_pot') |
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134 | IF( ln_scal_load.AND.(.NOT.ln_tide_pot) ) & |
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135 | & CALL ctl_stop('ln_scal_load requires ln_tide_pot') |
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136 | IF( ln_scal_load.AND.ln_read_load ) & |
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137 | & CALL ctl_stop('Choose between ln_scal_load and ln_read_load') |
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138 | IF( ln_tide_ramp.AND.((nitend-nit000+1)*rdt/rday < rdttideramp) ) & |
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139 | & CALL ctl_stop('rdttideramp must be lower than run duration') |
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140 | IF( ln_tide_ramp.AND.(rdttideramp<0.) ) & |
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141 | & CALL ctl_stop('rdttideramp must be positive') |
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142 | ! |
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143 | ALLOCATE( ntide(nb_harmo) ) |
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144 | DO jk = 1, nb_harmo |
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145 | DO ji = 1, jpmax_harmo |
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146 | IF( TRIM(clname(jk)) == Wave(ji)%cname_tide ) THEN |
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147 | ntide(jk) = ji |
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148 | EXIT |
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149 | ENDIF |
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150 | END DO |
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151 | END DO |
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152 | ! |
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153 | ALLOCATE( omega_tide(nb_harmo), v0tide (nb_harmo), & |
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154 | & utide (nb_harmo), ftide (nb_harmo) ) |
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155 | kt_tide = nit000 |
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156 | ! |
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157 | IF (.NOT.ln_scal_load ) rn_scal_load = 0._wp |
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158 | ! |
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159 | ALLOCATE( amp_pot(jpi,jpj,nb_harmo), & |
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160 | & phi_pot(jpi,jpj,nb_harmo), pot_astro(jpi,jpj) ) |
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161 | IF( ln_read_load ) THEN |
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162 | ALLOCATE( amp_load(jpi,jpj,nb_harmo), phi_load(jpi,jpj,nb_harmo) ) |
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163 | ENDIF |
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164 | ! |
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165 | END SUBROUTINE tide_init |
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166 | |
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167 | |
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168 | SUBROUTINE tide_init_Wave |
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169 | # include "tide.h90" |
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170 | END SUBROUTINE tide_init_Wave |
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171 | |
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172 | |
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173 | SUBROUTINE tide_init_potential |
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174 | !!---------------------------------------------------------------------- |
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175 | !! *** ROUTINE tide_init_potential *** |
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176 | !!---------------------------------------------------------------------- |
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177 | INTEGER :: ji, jj, jk ! dummy loop indices |
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178 | REAL(wp) :: zcons, ztmp1, ztmp2, zlat, zlon, ztmp, zamp, zcs ! local scalar |
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179 | !!---------------------------------------------------------------------- |
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180 | |
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181 | DO jk = 1, nb_harmo |
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182 | zcons = 0.7_wp * Wave(ntide(jk))%equitide * ftide(jk) |
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183 | DO ji = 1, jpi |
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184 | DO jj = 1, jpj |
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185 | ztmp1 = ftide(jk) * amp_pot(ji,jj,jk) * COS( phi_pot(ji,jj,jk) + v0tide(jk) + utide(jk) ) |
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186 | ztmp2 = -ftide(jk) * amp_pot(ji,jj,jk) * SIN( phi_pot(ji,jj,jk) + v0tide(jk) + utide(jk) ) |
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187 | zlat = gphit(ji,jj)*rad !! latitude en radian |
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188 | zlon = glamt(ji,jj)*rad !! longitude en radian |
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189 | ztmp = v0tide(jk) + utide(jk) + Wave(ntide(jk))%nutide * zlon |
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190 | ! le potentiel est composé des effets des astres: |
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191 | IF ( Wave(ntide(jk))%nutide == 1 ) THEN ; zcs = zcons * SIN( 2._wp*zlat ) |
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192 | ELSEIF( Wave(ntide(jk))%nutide == 2 ) THEN ; zcs = zcons * COS( zlat )**2 |
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193 | ELSE ; zcs = 0._wp |
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194 | ENDIF |
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195 | ztmp1 = ztmp1 + zcs * COS( ztmp ) |
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196 | ztmp2 = ztmp2 - zcs * SIN( ztmp ) |
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197 | zamp = SQRT( ztmp1*ztmp1 + ztmp2*ztmp2 ) |
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198 | amp_pot(ji,jj,jk) = zamp |
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199 | phi_pot(ji,jj,jk) = ATAN2( -ztmp2 / MAX( 1.e-10_wp , zamp ) , & |
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200 | & ztmp1 / MAX( 1.e-10_wp, zamp ) ) |
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201 | END DO |
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202 | END DO |
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203 | END DO |
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204 | ! |
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205 | END SUBROUTINE tide_init_potential |
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206 | |
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207 | |
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208 | SUBROUTINE tide_init_load |
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209 | !!---------------------------------------------------------------------- |
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210 | !! *** ROUTINE tide_init_load *** |
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211 | !!---------------------------------------------------------------------- |
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212 | INTEGER :: inum ! Logical unit of input file |
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213 | INTEGER :: ji, jj, itide ! dummy loop indices |
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214 | REAL(wp), DIMENSION(jpi,jpj) :: ztr, zti !: workspace to read in tidal harmonics data |
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215 | !!---------------------------------------------------------------------- |
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216 | IF(lwp) THEN |
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217 | WRITE(numout,*) |
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218 | WRITE(numout,*) 'tide_init_load : Initialization of load potential from file' |
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219 | WRITE(numout,*) '~~~~~~~~~~~~~~ ' |
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220 | ENDIF |
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221 | ! |
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222 | CALL iom_open ( cn_tide_load , inum ) |
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223 | ! |
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224 | DO itide = 1, nb_harmo |
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225 | CALL iom_get ( inum, jpdom_data,TRIM(Wave(ntide(itide))%cname_tide)//'_z1', ztr(:,:) ) |
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226 | CALL iom_get ( inum, jpdom_data,TRIM(Wave(ntide(itide))%cname_tide)//'_z2', zti(:,:) ) |
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227 | ! |
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228 | DO ji=1,jpi |
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229 | DO jj=1,jpj |
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230 | amp_load(ji,jj,itide) = SQRT( ztr(ji,jj)**2. + zti(ji,jj)**2. ) |
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231 | phi_load(ji,jj,itide) = ATAN2(-zti(ji,jj), ztr(ji,jj) ) |
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232 | END DO |
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233 | END DO |
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234 | ! |
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235 | END DO |
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236 | CALL iom_close( inum ) |
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237 | ! |
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238 | END SUBROUTINE tide_init_load |
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239 | |
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240 | |
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241 | SUBROUTINE tide_harmo( pomega, pvt, put , pcor, ktide ,kc) |
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242 | !!---------------------------------------------------------------------- |
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243 | !!---------------------------------------------------------------------- |
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244 | INTEGER , DIMENSION(kc), INTENT(in ) :: ktide ! Indice of tidal constituents |
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245 | INTEGER , INTENT(in ) :: kc ! Total number of tidal constituents |
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246 | REAL(wp), DIMENSION(kc), INTENT(out) :: pomega ! pulsation in radians/s |
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247 | REAL(wp), DIMENSION(kc), INTENT(out) :: pvt, put, pcor ! |
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248 | !!---------------------------------------------------------------------- |
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249 | ! |
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250 | CALL astronomic_angle |
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251 | CALL tide_pulse( pomega, ktide ,kc ) |
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252 | CALL tide_vuf ( pvt, put, pcor, ktide ,kc ) |
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253 | ! |
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254 | END SUBROUTINE tide_harmo |
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255 | |
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256 | |
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257 | SUBROUTINE astronomic_angle |
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258 | !!---------------------------------------------------------------------- |
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259 | !! tj is time elapsed since 1st January 1900, 0 hour, counted in julian |
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260 | !! century (e.g. time in days divide by 36525) |
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261 | !!---------------------------------------------------------------------- |
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262 | REAL(wp) :: cosI, p, q, t2, t4, sin2I, s2, tgI2, P1, sh_tgn2, at1, at2 |
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263 | REAL(wp) :: zqy , zsy, zday, zdj, zhfrac |
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264 | !!---------------------------------------------------------------------- |
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265 | ! |
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266 | zqy = AINT( (nyear-1901.)/4. ) |
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267 | zsy = nyear - 1900. |
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268 | ! |
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269 | zdj = dayjul( nyear, nmonth, nday ) |
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270 | zday = zdj + zqy - 1. |
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271 | ! |
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272 | zhfrac = nsec_day / 3600. |
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273 | ! |
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274 | !---------------------------------------------------------------------- |
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275 | ! Sh_n Longitude of ascending lunar node |
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276 | !---------------------------------------------------------------------- |
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277 | sh_N=(259.1560564-19.328185764*zsy-.0529539336*zday-.0022064139*zhfrac)*rad |
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278 | !---------------------------------------------------------------------- |
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279 | ! T mean solar angle (Greenwhich time) |
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280 | !---------------------------------------------------------------------- |
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281 | sh_T=(180.+zhfrac*(360./24.))*rad |
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282 | !---------------------------------------------------------------------- |
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283 | ! h mean solar Longitude |
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284 | !---------------------------------------------------------------------- |
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285 | sh_h=(280.1895014-.238724988*zsy+.9856473288*zday+.0410686387*zhfrac)*rad |
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286 | !---------------------------------------------------------------------- |
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287 | ! s mean lunar Longitude |
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288 | !---------------------------------------------------------------------- |
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289 | sh_s=(277.0256206+129.38482032*zsy+13.176396768*zday+.549016532*zhfrac)*rad |
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290 | !---------------------------------------------------------------------- |
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291 | ! p1 Longitude of solar perigee |
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292 | !---------------------------------------------------------------------- |
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293 | sh_p1=(281.2208569+.01717836*zsy+.000047064*zday+.000001961*zhfrac)*rad |
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294 | !---------------------------------------------------------------------- |
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295 | ! p Longitude of lunar perigee |
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296 | !---------------------------------------------------------------------- |
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297 | sh_p=(334.3837214+40.66246584*zsy+.111404016*zday+.004641834*zhfrac)*rad |
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298 | |
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299 | sh_N = MOD( sh_N ,2*rpi ) |
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300 | sh_s = MOD( sh_s ,2*rpi ) |
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301 | sh_h = MOD( sh_h, 2*rpi ) |
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302 | sh_p = MOD( sh_p, 2*rpi ) |
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303 | sh_p1= MOD( sh_p1,2*rpi ) |
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304 | |
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305 | cosI = 0.913694997 -0.035692561 *cos(sh_N) |
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306 | |
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307 | sh_I = ACOS( cosI ) |
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308 | |
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309 | sin2I = sin(sh_I) |
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310 | sh_tgn2 = tan(sh_N/2.0) |
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311 | |
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312 | at1=atan(1.01883*sh_tgn2) |
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313 | at2=atan(0.64412*sh_tgn2) |
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314 | |
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315 | sh_xi=-at1-at2+sh_N |
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316 | |
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317 | IF( sh_N > rpi ) sh_xi=sh_xi-2.0*rpi |
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318 | |
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319 | sh_nu = at1 - at2 |
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320 | |
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321 | !---------------------------------------------------------------------- |
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322 | ! For constituents l2 k1 k2 |
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323 | !---------------------------------------------------------------------- |
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324 | |
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325 | tgI2 = tan(sh_I/2.0) |
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326 | P1 = sh_p-sh_xi |
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327 | |
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328 | t2 = tgI2*tgI2 |
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329 | t4 = t2*t2 |
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330 | sh_x1ra = sqrt( 1.0-12.0*t2*cos(2.0*P1)+36.0*t4 ) |
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331 | |
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332 | p = sin(2.0*P1) |
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333 | q = 1.0/(6.0*t2)-cos(2.0*P1) |
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334 | sh_R = atan(p/q) |
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335 | |
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336 | p = sin(2.0*sh_I)*sin(sh_nu) |
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337 | q = sin(2.0*sh_I)*cos(sh_nu)+0.3347 |
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338 | sh_nuprim = atan(p/q) |
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339 | |
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340 | s2 = sin(sh_I)*sin(sh_I) |
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341 | p = s2*sin(2.0*sh_nu) |
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342 | q = s2*cos(2.0*sh_nu)+0.0727 |
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343 | sh_nusec = 0.5*atan(p/q) |
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344 | ! |
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345 | END SUBROUTINE astronomic_angle |
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346 | |
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347 | |
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348 | SUBROUTINE tide_pulse( pomega, ktide ,kc ) |
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349 | !!---------------------------------------------------------------------- |
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350 | !! *** ROUTINE tide_pulse *** |
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351 | !! |
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352 | !! ** Purpose : Compute tidal frequencies |
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353 | !!---------------------------------------------------------------------- |
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354 | INTEGER , INTENT(in ) :: kc ! Total number of tidal constituents |
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355 | INTEGER , DIMENSION(kc), INTENT(in ) :: ktide ! Indice of tidal constituents |
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356 | REAL(wp), DIMENSION(kc), INTENT(out) :: pomega ! pulsation in radians/s |
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357 | ! |
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358 | INTEGER :: jh |
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359 | REAL(wp) :: zscale |
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360 | REAL(wp) :: zomega_T = 13149000.0_wp |
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361 | REAL(wp) :: zomega_s = 481267.892_wp |
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362 | REAL(wp) :: zomega_h = 36000.76892_wp |
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363 | REAL(wp) :: zomega_p = 4069.0322056_wp |
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364 | REAL(wp) :: zomega_n = 1934.1423972_wp |
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365 | REAL(wp) :: zomega_p1= 1.719175_wp |
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366 | !!---------------------------------------------------------------------- |
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367 | ! |
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368 | zscale = rad / ( 36525._wp * 86400._wp ) |
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369 | ! |
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370 | DO jh = 1, kc |
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371 | pomega(jh) = ( zomega_T * Wave( ktide(jh) )%nT & |
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372 | & + zomega_s * Wave( ktide(jh) )%ns & |
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373 | & + zomega_h * Wave( ktide(jh) )%nh & |
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374 | & + zomega_p * Wave( ktide(jh) )%np & |
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375 | & + zomega_p1* Wave( ktide(jh) )%np1 ) * zscale |
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376 | END DO |
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377 | ! |
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378 | END SUBROUTINE tide_pulse |
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379 | |
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380 | |
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381 | SUBROUTINE tide_vuf( pvt, put, pcor, ktide ,kc ) |
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382 | !!---------------------------------------------------------------------- |
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383 | !! *** ROUTINE tide_vuf *** |
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384 | !! |
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385 | !! ** Purpose : Compute nodal modulation corrections |
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386 | !! |
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387 | !! ** Outputs : vt: Phase of tidal potential relative to Greenwich (radians) |
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388 | !! ut: Phase correction u due to nodal motion (radians) |
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389 | !! ft: Nodal correction factor |
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390 | !!---------------------------------------------------------------------- |
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391 | INTEGER , INTENT(in ) :: kc ! Total number of tidal constituents |
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392 | INTEGER , DIMENSION(kc), INTENT(in ) :: ktide ! Indice of tidal constituents |
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393 | REAL(wp), DIMENSION(kc), INTENT(out) :: pvt, put, pcor ! |
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394 | ! |
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395 | INTEGER :: jh ! dummy loop index |
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396 | !!---------------------------------------------------------------------- |
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397 | ! |
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398 | DO jh = 1, kc |
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399 | ! Phase of the tidal potential relative to the Greenwhich |
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400 | ! meridian (e.g. the position of the fictuous celestial body). Units are radian: |
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401 | pvt(jh) = sh_T * Wave( ktide(jh) )%nT & |
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402 | & + sh_s * Wave( ktide(jh) )%ns & |
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403 | & + sh_h * Wave( ktide(jh) )%nh & |
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404 | & + sh_p * Wave( ktide(jh) )%np & |
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405 | & + sh_p1* Wave( ktide(jh) )%np1 & |
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406 | & + Wave( ktide(jh) )%shift * rad |
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407 | ! |
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408 | ! Phase correction u due to nodal motion. Units are radian: |
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409 | put(jh) = sh_xi * Wave( ktide(jh) )%nksi & |
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410 | & + sh_nu * Wave( ktide(jh) )%nnu0 & |
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411 | & + sh_nuprim * Wave( ktide(jh) )%nnu1 & |
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412 | & + sh_nusec * Wave( ktide(jh) )%nnu2 & |
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413 | & + sh_R * Wave( ktide(jh) )%R |
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414 | |
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415 | ! Nodal correction factor: |
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416 | pcor(jh) = nodal_factort( Wave( ktide(jh) )%nformula ) |
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417 | END DO |
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418 | ! |
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419 | END SUBROUTINE tide_vuf |
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420 | |
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421 | |
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422 | RECURSIVE FUNCTION nodal_factort( kformula ) RESULT( zf ) |
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423 | !!---------------------------------------------------------------------- |
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424 | !!---------------------------------------------------------------------- |
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425 | INTEGER, INTENT(in) :: kformula |
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426 | ! |
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427 | REAL(wp) :: zf |
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428 | REAL(wp) :: zs, zf1, zf2 |
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429 | !!---------------------------------------------------------------------- |
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430 | ! |
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431 | SELECT CASE( kformula ) |
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432 | ! |
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433 | CASE( 0 ) !== formule 0, solar waves |
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434 | zf = 1.0 |
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435 | ! |
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436 | CASE( 1 ) !== formule 1, compound waves (78 x 78) |
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437 | zf=nodal_factort(78) |
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438 | zf = zf * zf |
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439 | ! |
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440 | CASE ( 2 ) !== formule 2, compound waves (78 x 0) === (78) |
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441 | zf1= nodal_factort(78) |
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442 | zf = nodal_factort( 0) |
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443 | zf = zf1 * zf |
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444 | ! |
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445 | CASE ( 4 ) !== formule 4, compound waves (78 x 235) |
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446 | zf1 = nodal_factort( 78) |
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447 | zf = nodal_factort(235) |
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448 | zf = zf1 * zf |
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449 | ! |
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450 | CASE ( 5 ) !== formule 5, compound waves (78 *78 x 235) |
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451 | zf1 = nodal_factort( 78) |
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452 | zf = nodal_factort(235) |
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453 | zf = zf * zf1 * zf1 |
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454 | ! |
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455 | CASE ( 6 ) !== formule 6, compound waves (78 *78 x 0) |
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456 | zf1 = nodal_factort(78) |
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457 | zf = nodal_factort( 0) |
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458 | zf = zf * zf1 * zf1 |
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459 | ! |
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460 | CASE( 7 ) !== formule 7, compound waves (75 x 75) |
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461 | zf = nodal_factort(75) |
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462 | zf = zf * zf |
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463 | ! |
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464 | CASE( 8 ) !== formule 8, compound waves (78 x 0 x 235) |
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465 | zf = nodal_factort( 78) |
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466 | zf1 = nodal_factort( 0) |
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467 | zf2 = nodal_factort(235) |
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468 | zf = zf * zf1 * zf2 |
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469 | ! |
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470 | CASE( 9 ) !== formule 9, compound waves (78 x 0 x 227) |
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471 | zf = nodal_factort( 78) |
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472 | zf1 = nodal_factort( 0) |
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473 | zf2 = nodal_factort(227) |
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474 | zf = zf * zf1 * zf2 |
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475 | ! |
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476 | CASE( 10 ) !== formule 10, compound waves (78 x 227) |
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477 | zf = nodal_factort( 78) |
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478 | zf1 = nodal_factort(227) |
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479 | zf = zf * zf1 |
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480 | ! |
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481 | CASE( 11 ) !== formule 11, compound waves (75 x 0) |
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482 | !!gm bug???? zf 2 fois ! |
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483 | zf = nodal_factort(75) |
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484 | zf1 = nodal_factort( 0) |
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485 | zf = zf * zf1 |
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486 | ! |
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487 | CASE( 12 ) !== formule 12, compound waves (78 x 78 x 78 x 0) |
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488 | zf1 = nodal_factort(78) |
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489 | zf = nodal_factort( 0) |
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490 | zf = zf * zf1 * zf1 * zf1 |
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491 | ! |
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492 | CASE( 13 ) !== formule 13, compound waves (78 x 75) |
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493 | zf1 = nodal_factort(78) |
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494 | zf = nodal_factort(75) |
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495 | zf = zf * zf1 |
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496 | ! |
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497 | CASE( 14 ) !== formule 14, compound waves (235 x 0) === (235) |
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498 | zf = nodal_factort(235) |
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499 | zf1 = nodal_factort( 0) |
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500 | zf = zf * zf1 |
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501 | ! |
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502 | CASE( 15 ) !== formule 15, compound waves (235 x 75) |
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503 | zf = nodal_factort(235) |
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504 | zf1 = nodal_factort( 75) |
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505 | zf = zf * zf1 |
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506 | ! |
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507 | CASE( 16 ) !== formule 16, compound waves (78 x 0 x 0) === (78) |
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508 | zf = nodal_factort(78) |
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509 | zf1 = nodal_factort( 0) |
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510 | zf = zf * zf1 * zf1 |
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511 | ! |
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512 | CASE( 17 ) !== formule 17, compound waves (227 x 0) |
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513 | zf1 = nodal_factort(227) |
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514 | zf = nodal_factort( 0) |
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515 | zf = zf * zf1 |
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516 | ! |
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517 | CASE( 18 ) !== formule 18, compound waves (78 x 78 x 78 ) |
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518 | zf1 = nodal_factort(78) |
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519 | zf = zf1 * zf1 * zf1 |
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520 | ! |
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521 | CASE( 19 ) !== formule 19, compound waves (78 x 0 x 0 x 0) === (78) |
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522 | !!gm bug2 ==>>> here identical to formule 16, a third multiplication by zf1 is missing |
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523 | zf = nodal_factort(78) |
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524 | zf1 = nodal_factort( 0) |
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525 | zf = zf * zf1 * zf1 |
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526 | ! |
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527 | CASE( 73 ) !== formule 73 |
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528 | zs = sin(sh_I) |
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529 | zf = (2./3.-zs*zs)/0.5021 |
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530 | ! |
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531 | CASE( 74 ) !== formule 74 |
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532 | zs = sin(sh_I) |
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533 | zf = zs * zs / 0.1578 |
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534 | ! |
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535 | CASE( 75 ) !== formule 75 |
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536 | zs = cos(sh_I/2) |
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537 | zf = sin(sh_I) * zs * zs / 0.3800 |
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538 | ! |
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539 | CASE( 76 ) !== formule 76 |
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540 | zf = sin(2*sh_I) / 0.7214 |
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541 | ! |
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542 | CASE( 77 ) !== formule 77 |
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543 | zs = sin(sh_I/2) |
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544 | zf = sin(sh_I) * zs * zs / 0.0164 |
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545 | ! |
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546 | CASE( 78 ) !== formule 78 |
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547 | zs = cos(sh_I/2) |
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548 | zf = zs * zs * zs * zs / 0.9154 |
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549 | ! |
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550 | CASE( 79 ) !== formule 79 |
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551 | zs = sin(sh_I) |
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552 | zf = zs * zs / 0.1565 |
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553 | ! |
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554 | CASE( 144 ) !== formule 144 |
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555 | zs = sin(sh_I/2) |
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556 | zf = ( 1-10*zs*zs+15*zs*zs*zs*zs ) * cos(sh_I/2) / 0.5873 |
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557 | ! |
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558 | CASE( 149 ) !== formule 149 |
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559 | zs = cos(sh_I/2) |
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560 | zf = zs*zs*zs*zs*zs*zs / 0.8758 |
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561 | ! |
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562 | CASE( 215 ) !== formule 215 |
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563 | zs = cos(sh_I/2) |
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564 | zf = zs*zs*zs*zs / 0.9154 * sh_x1ra |
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565 | ! |
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566 | CASE( 227 ) !== formule 227 |
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567 | zs = sin(2*sh_I) |
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568 | zf = sqrt( 0.8965*zs*zs+0.6001*zs*cos (sh_nu)+0.1006 ) |
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569 | ! |
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570 | CASE ( 235 ) !== formule 235 |
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571 | zs = sin(sh_I) |
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572 | zf = sqrt( 19.0444*zs*zs*zs*zs + 2.7702*zs*zs*cos(2*sh_nu) + .0981 ) |
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573 | ! |
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574 | END SELECT |
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575 | ! |
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576 | END FUNCTION nodal_factort |
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577 | |
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578 | |
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579 | FUNCTION dayjul( kyr, kmonth, kday ) |
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580 | !!---------------------------------------------------------------------- |
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581 | !! *** THIS ROUTINE COMPUTES THE JULIAN DAY (AS A REAL VARIABLE) |
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582 | !!---------------------------------------------------------------------- |
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583 | INTEGER,INTENT(in) :: kyr, kmonth, kday |
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584 | ! |
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585 | INTEGER,DIMENSION(12) :: idayt, idays |
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586 | INTEGER :: inc, ji |
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587 | REAL(wp) :: dayjul, zyq |
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588 | ! |
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589 | DATA idayt/0.,31.,59.,90.,120.,151.,181.,212.,243.,273.,304.,334./ |
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590 | !!---------------------------------------------------------------------- |
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591 | ! |
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592 | idays(1) = 0. |
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593 | idays(2) = 31. |
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594 | inc = 0. |
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595 | zyq = MOD( kyr-1900. , 4. ) |
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596 | IF( zyq == 0.) inc = 1. |
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597 | DO ji = 3, 12 |
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598 | idays(ji)=idayt(ji)+inc |
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599 | END DO |
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600 | dayjul = idays(kmonth) + kday |
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601 | ! |
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602 | END FUNCTION dayjul |
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603 | |
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604 | |
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605 | SUBROUTINE upd_tide( kt, kit, time_offset ) |
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606 | !!---------------------------------------------------------------------- |
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607 | !! *** ROUTINE upd_tide *** |
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608 | !! |
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609 | !! ** Purpose : provide at each time step the astronomical potential |
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610 | !! |
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611 | !! ** Method : computed from pulsation and amplitude of all tide components |
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612 | !! |
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613 | !! ** Action : pot_astro actronomical potential |
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614 | !!---------------------------------------------------------------------- |
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615 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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616 | INTEGER, INTENT(in), OPTIONAL :: kit ! external mode sub-time-step index (lk_dynspg_ts=T) |
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617 | INTEGER, INTENT(in), OPTIONAL :: time_offset ! time offset in number |
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618 | ! of internal steps (lk_dynspg_ts=F) |
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619 | ! of external steps (lk_dynspg_ts=T) |
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620 | ! |
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621 | INTEGER :: joffset ! local integer |
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622 | INTEGER :: ji, jj, jk ! dummy loop indices |
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623 | REAL(wp) :: zt, zramp ! local scalar |
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624 | REAL(wp), DIMENSION(nb_harmo) :: zwt |
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625 | !!---------------------------------------------------------------------- |
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626 | ! |
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627 | ! ! tide pulsation at model time step (or sub-time-step) |
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628 | zt = ( kt - kt_tide ) * rdt |
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629 | ! |
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630 | joffset = 0 |
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631 | IF( PRESENT( time_offset ) ) joffset = time_offset |
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632 | ! |
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633 | IF( PRESENT( kit ) ) THEN |
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634 | zt = zt + ( kit + joffset - 1 ) * rdt / REAL( nn_baro, wp ) |
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635 | ELSE |
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636 | zt = zt + joffset * rdt |
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637 | ENDIF |
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638 | ! |
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639 | zwt(:) = omega_tide(:) * zt |
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640 | |
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641 | pot_astro(:,:) = 0._wp ! update tidal potential (sum of all harmonics) |
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642 | DO jk = 1, nb_harmo |
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643 | pot_astro(:,:) = pot_astro(:,:) + amp_pot(:,:,jk) * COS( zwt(jk) + phi_pot(:,:,jk) ) |
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644 | END DO |
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645 | ! |
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646 | IF( ln_tide_ramp ) THEN ! linear increase if asked |
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647 | zt = ( kt - nit000 ) * rdt |
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648 | IF( PRESENT( kit ) ) zt = zt + ( kit + joffset -1) * rdt / REAL( nn_baro, wp ) |
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649 | zramp = MIN( MAX( zt / (rdttideramp*rday) , 0._wp ) , 1._wp ) |
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650 | pot_astro(:,:) = zramp * pot_astro(:,:) |
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651 | ENDIF |
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652 | ! |
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653 | END SUBROUTINE upd_tide |
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654 | |
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655 | !!====================================================================== |
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656 | END MODULE tide_mod |
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