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_update ! called by stp |
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23 | PUBLIC tide_init_harmonics ! called internally and by module diaharm |
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24 | PUBLIC upd_tide ! called in dynspg_... modules |
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25 | |
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26 | INTEGER, PUBLIC, PARAMETER :: jpmax_harmo = 64 !: maximum number of harmonic components |
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27 | |
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28 | TYPE :: tide |
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29 | CHARACTER(LEN=4) :: cname_tide = '' |
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30 | REAL(wp) :: equitide |
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31 | INTEGER :: nt, ns, nh, np, np1, shift |
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32 | INTEGER :: nksi, nnu0, nnu1, nnu2, R |
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33 | INTEGER :: nformula |
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34 | END TYPE tide |
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35 | |
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36 | TYPE(tide), DIMENSION(:), POINTER :: tide_components !: Array of selected tidal component parameters |
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37 | |
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38 | TYPE, PUBLIC :: tide_harmonic !: Oscillation parameters of harmonic tidal components |
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39 | CHARACTER(LEN=4) :: cname_tide ! Name of component |
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40 | REAL(wp) :: equitide ! Amplitude of equilibrium tide |
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41 | REAL(wp) :: f ! Node factor |
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42 | REAL(wp) :: omega ! Angular velocity |
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43 | REAL(wp) :: v0 ! Initial phase at prime meridian |
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44 | REAL(wp) :: u ! Phase correction |
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45 | END type tide_harmonic |
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46 | |
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47 | TYPE(tide_harmonic), PUBLIC, DIMENSION(:), POINTER :: tide_harmonics !: Oscillation parameters of selected tidal components |
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48 | |
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49 | LOGICAL , PUBLIC :: ln_tide !: |
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50 | LOGICAL , PUBLIC :: ln_tide_pot !: |
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51 | INTEGER :: nn_tide_var ! Variant of tidal parameter set and tide-potential computation |
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52 | LOGICAL :: ln_tide_dia ! Enable tidal diagnostic output |
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53 | LOGICAL :: ln_read_load !: |
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54 | LOGICAL , PUBLIC :: ln_scal_load !: |
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55 | LOGICAL , PUBLIC :: ln_tide_ramp !: |
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56 | INTEGER , PUBLIC :: nb_harmo !: Number of active tidal components |
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57 | REAL(wp), PUBLIC :: rn_tide_ramp_dt !: |
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58 | REAL(wp), PUBLIC :: rn_scal_load !: |
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59 | CHARACTER(lc), PUBLIC :: cn_tide_load !: |
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60 | REAL(wp) :: rn_tide_gamma ! Tidal tilt factor |
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61 | |
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62 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: pot_astro !: tidal potential |
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63 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: pot_astro_comp ! tidal-potential component |
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64 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: amp_pot, phi_pot |
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65 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: amp_load, phi_load |
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66 | |
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67 | REAL(wp) :: rn_tide_ramp_t ! Elapsed time in seconds |
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68 | |
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69 | REAL(wp) :: sh_T, sh_s, sh_h, sh_p, sh_p1 ! astronomic angles |
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70 | REAL(wp) :: sh_xi, sh_nu, sh_nuprim, sh_nusec, sh_R ! |
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71 | REAL(wp) :: sh_I, sh_x1ra, sh_N ! |
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72 | |
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73 | !!---------------------------------------------------------------------- |
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74 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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75 | !! $Id$ |
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76 | !! Software governed by the CeCILL license (see ./LICENSE) |
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77 | !!---------------------------------------------------------------------- |
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78 | CONTAINS |
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79 | |
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80 | SUBROUTINE tide_init |
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81 | !!---------------------------------------------------------------------- |
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82 | !! *** ROUTINE tide_init *** |
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83 | !!---------------------------------------------------------------------- |
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84 | INTEGER :: ji, jk |
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85 | CHARACTER(LEN=4), DIMENSION(jpmax_harmo) :: sn_tide_cnames ! Names of selected tidal components |
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86 | INTEGER :: ios ! Local integer output status for namelist read |
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87 | ! |
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88 | NAMELIST/nam_tide/ln_tide, nn_tide_var, ln_tide_dia, ln_tide_pot, rn_tide_gamma, & |
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89 | & ln_scal_load, ln_read_load, cn_tide_load, & |
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90 | & ln_tide_ramp, rn_scal_load, rn_tide_ramp_dt, & |
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91 | & sn_tide_cnames |
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92 | !!---------------------------------------------------------------------- |
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93 | ! |
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94 | ! Initialise all array elements of sn_tide_cnames, as some of them |
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95 | ! typically do not appear in namelist_ref or namelist_cfg |
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96 | sn_tide_cnames(:) = '' |
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97 | ! Read Namelist nam_tide |
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98 | REWIND( numnam_ref ) ! Namelist nam_tide in reference namelist : Tides |
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99 | READ ( numnam_ref, nam_tide, IOSTAT = ios, ERR = 901) |
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100 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_tide in reference namelist', lwp ) |
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101 | ! |
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102 | REWIND( numnam_cfg ) ! Namelist nam_tide in configuration namelist : Tides |
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103 | READ ( numnam_cfg, nam_tide, IOSTAT = ios, ERR = 902 ) |
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104 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'nam_tide in configuration namelist', lwp ) |
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105 | IF(lwm) WRITE ( numond, nam_tide ) |
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106 | ! |
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107 | IF( ln_tide ) THEN |
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108 | IF (lwp) THEN |
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109 | WRITE(numout,*) |
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110 | WRITE(numout,*) 'tide_init : Initialization of the tidal components' |
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111 | WRITE(numout,*) '~~~~~~~~~ ' |
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112 | WRITE(numout,*) ' Namelist nam_tide' |
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113 | WRITE(numout,*) ' Use tidal components ln_tide = ', ln_tide |
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114 | WRITE(numout,*) ' Variant (1: default; 0: legacy option) nn_tide_var = ', nn_tide_var |
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115 | WRITE(numout,*) ' Tidal diagnostic output ln_tide_dia = ', ln_tide_dia |
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116 | WRITE(numout,*) ' Apply astronomical potential ln_tide_pot = ', ln_tide_pot |
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117 | WRITE(numout,*) ' Tidal tilt factor rn_tide_gamma = ', rn_tide_gamma |
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118 | WRITE(numout,*) ' Use scalar approx. for load potential ln_scal_load = ', ln_scal_load |
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119 | WRITE(numout,*) ' Read load potential from file ln_read_load = ', ln_read_load |
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120 | WRITE(numout,*) ' Apply ramp on tides at startup ln_tide_ramp = ', ln_tide_ramp |
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121 | WRITE(numout,*) ' Fraction of SSH used in scal. approx. rn_scal_load = ', rn_scal_load |
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122 | WRITE(numout,*) ' Duration (days) of ramp rn_tide_ramp_dt = ', rn_tide_ramp_dt |
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123 | ENDIF |
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124 | ELSE |
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125 | rn_scal_load = 0._wp |
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126 | |
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127 | IF(lwp) WRITE(numout,*) |
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128 | IF(lwp) WRITE(numout,*) 'tide_init : tidal components not used (ln_tide = F)' |
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129 | IF(lwp) WRITE(numout,*) '~~~~~~~~~ ' |
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130 | RETURN |
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131 | ENDIF |
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132 | ! |
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133 | IF( ln_read_load.AND.(.NOT.ln_tide_pot) ) & |
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134 | & CALL ctl_stop('ln_read_load requires ln_tide_pot') |
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135 | IF( ln_scal_load.AND.(.NOT.ln_tide_pot) ) & |
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136 | & CALL ctl_stop('ln_scal_load requires ln_tide_pot') |
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137 | IF( ln_scal_load.AND.ln_read_load ) & |
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138 | & CALL ctl_stop('Choose between ln_scal_load and ln_read_load') |
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139 | IF( ln_tide_ramp.AND.((nitend-nit000+1)*rdt/rday < rn_tide_ramp_dt) ) & |
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140 | & CALL ctl_stop('rn_tide_ramp_dt must be lower than run duration') |
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141 | IF( ln_tide_ramp.AND.(rn_tide_ramp_dt<0.) ) & |
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142 | & CALL ctl_stop('rn_tide_ramp_dt must be positive') |
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143 | ! |
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144 | ! Initialise array used to store tidal oscillation parameters (frequency, |
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145 | ! amplitude, phase); also retrieve and store array of information about |
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146 | ! selected tidal components |
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147 | CALL tide_init_harmonics(sn_tide_cnames, tide_harmonics, tide_components) |
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148 | ! |
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149 | ! Number of active tidal components |
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150 | nb_harmo = size(tide_components) |
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151 | ! |
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152 | ! Ensure that tidal components have been set in namelist_cfg |
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153 | IF( nb_harmo == 0 ) CALL ctl_stop( 'tide_init : No tidal components set in nam_tide' ) |
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154 | ! |
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155 | IF (.NOT.ln_scal_load ) rn_scal_load = 0._wp |
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156 | ! |
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157 | ALLOCATE( amp_pot(jpi,jpj,nb_harmo), & |
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158 | & phi_pot(jpi,jpj,nb_harmo), pot_astro(jpi,jpj) ) |
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159 | IF( ln_tide_dia ) ALLOCATE( pot_astro_comp(jpi,jpj) ) |
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160 | IF( ln_read_load ) THEN |
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161 | ALLOCATE( amp_load(jpi,jpj,nb_harmo), phi_load(jpi,jpj,nb_harmo) ) |
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162 | CALL tide_init_load |
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163 | amp_pot(:,:,:) = amp_load(:,:,:) |
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164 | phi_pot(:,:,:) = phi_load(:,:,:) |
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165 | ELSE |
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166 | amp_pot(:,:,:) = 0._wp |
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167 | phi_pot(:,:,:) = 0._wp |
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168 | ENDIF |
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169 | ! |
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170 | END SUBROUTINE tide_init |
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171 | |
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172 | |
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173 | SUBROUTINE tide_init_components(pcnames, ptide_comp) |
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174 | !!---------------------------------------------------------------------- |
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175 | !! *** ROUTINE tide_init_components *** |
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176 | !! |
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177 | !! Returns pointer to array of variables of type 'tide' that contain |
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178 | !! information about the selected tidal components |
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179 | !! ---------------------------------------------------------------------- |
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180 | CHARACTER(LEN=4), DIMENSION(jpmax_harmo), INTENT(in) :: pcnames ! Names of selected components |
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181 | TYPE(tide), POINTER, DIMENSION(:), INTENT(out) :: ptide_comp ! Selected components |
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182 | INTEGER, ALLOCATABLE, DIMENSION(:) :: kcomppos ! Indices of selected components |
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183 | INTEGER :: kcomp, jk, ji ! Miscellaneous integers |
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184 | TYPE(tide), POINTER, DIMENSION(:) :: tide_components ! All available components |
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185 | |
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186 | ! Populate local array with information about all available tidal |
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187 | ! components |
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188 | ! |
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189 | ! Note, here 'tide_components' locally overrides the global module |
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190 | ! variable of the same name to enable the use of the global name in the |
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191 | ! include file that contains the initialisation of elements of array |
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192 | ! 'tide_components' |
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193 | ALLOCATE(tide_components(jpmax_harmo), kcomppos(jpmax_harmo)) |
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194 | ! Initialise array of indices of the selected componenents |
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195 | kcomppos(:) = 0 |
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196 | ! Include tidal component parameters for all available components |
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197 | IF (nn_tide_var < 1) THEN |
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198 | #define TIDE_VAR_0 |
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199 | #include "tide.h90" |
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200 | #undef TIDE_VAR_0 |
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201 | ELSE |
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202 | #include "tide.h90" |
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203 | END IF |
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204 | ! Identify the selected components that are availble |
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205 | kcomp = 0 |
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206 | DO jk = 1, jpmax_harmo |
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207 | IF (TRIM(pcnames(jk)) /= '') THEN |
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208 | DO ji = 1, jpmax_harmo |
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209 | IF (TRIM(pcnames(jk)) == tide_components(ji)%cname_tide) THEN |
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210 | kcomp = kcomp + 1 |
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211 | WRITE(numout, '(10X,"Tidal component #",I2.2,36X,"= ",A4)') kcomp, pcnames(jk) |
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212 | kcomppos(kcomp) = ji |
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213 | EXIT |
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214 | END IF |
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215 | END DO |
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216 | END IF |
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217 | END DO |
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218 | |
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219 | ! Allocate and populate reduced list of components |
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220 | ALLOCATE(ptide_comp(kcomp)) |
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221 | DO jk = 1, kcomp |
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222 | ptide_comp(jk) = tide_components(kcomppos(jk)) |
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223 | END DO |
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224 | |
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225 | ! Release local array of available components and list of selected |
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226 | ! components |
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227 | DEALLOCATE(tide_components, kcomppos) |
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228 | |
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229 | END SUBROUTINE tide_init_components |
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230 | |
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231 | |
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232 | SUBROUTINE tide_init_harmonics(pcnames, ptide_harmo, ptide_comp) |
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233 | !!---------------------------------------------------------------------- |
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234 | !! *** ROUTINE tide_init_harmonics *** |
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235 | !! |
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236 | !! Returns pointer to array of variables of type 'tide_harmonics' that |
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237 | !! contain oscillation parameters of the selected harmonic tidal |
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238 | !! components |
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239 | !! ---------------------------------------------------------------------- |
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240 | CHARACTER(LEN=4), DIMENSION(jpmax_harmo), INTENT(in) :: pcnames ! Names of selected components |
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241 | TYPE(tide_harmonic), POINTER, DIMENSION(:) :: ptide_harmo ! Oscillation parameters of tidal components |
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242 | TYPE(tide), POINTER, DIMENSION(:), OPTIONAL :: ptide_comp ! Selected components |
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243 | TYPE(tide), POINTER, DIMENSION(:) :: ztcomp ! Selected components |
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244 | |
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245 | ! Retrieve information about selected tidal components |
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246 | ! If requested, prepare tidal component array for returning |
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247 | IF (PRESENT(ptide_comp)) THEN |
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248 | CALL tide_init_components(pcnames, ptide_comp) |
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249 | ztcomp => ptide_comp |
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250 | ELSE |
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251 | CALL tide_init_components(pcnames, ztcomp) |
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252 | END IF |
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253 | |
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254 | ! Allocate and populate array of oscillation parameters |
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255 | ALLOCATE(ptide_harmo(size(ztcomp))) |
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256 | ptide_harmo(:)%cname_tide = ztcomp(:)%cname_tide |
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257 | ptide_harmo(:)%equitide = ztcomp(:)%equitide |
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258 | CALL tide_harmo(ztcomp, ptide_harmo) |
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259 | |
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260 | END SUBROUTINE tide_init_harmonics |
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261 | |
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262 | |
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263 | SUBROUTINE tide_init_potential |
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264 | !!---------------------------------------------------------------------- |
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265 | !! *** ROUTINE tide_init_potential *** |
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266 | !! |
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267 | !! *** Reference: |
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268 | !! CT71) Cartwright, D. E. and Tayler, R. J. (1971): New computations of |
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269 | !! the Tide-generating Potential. Geophys. J. R. astr. Soc. 23, |
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270 | !! pp. 45-74. DOI: 10.1111/j.1365-246X.1971.tb01803.x |
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271 | !! |
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272 | !!---------------------------------------------------------------------- |
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273 | INTEGER :: ji, jj, jk ! dummy loop indices |
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274 | REAL(wp) :: zcons, ztmp1, ztmp2, zlat, zlon, ztmp, zamp, zcs ! local scalar |
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275 | !!---------------------------------------------------------------------- |
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276 | |
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277 | IF( ln_read_load ) THEN |
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278 | amp_pot(:,:,:) = amp_load(:,:,:) |
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279 | phi_pot(:,:,:) = phi_load(:,:,:) |
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280 | ELSE |
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281 | amp_pot(:,:,:) = 0._wp |
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282 | phi_pot(:,:,:) = 0._wp |
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283 | ENDIF |
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284 | DO jk = 1, nb_harmo |
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285 | zcons = rn_tide_gamma * tide_components(jk)%equitide * tide_harmonics(jk)%f |
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286 | DO ji = 1, jpi |
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287 | DO jj = 1, jpj |
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288 | ztmp1 = tide_harmonics(jk)%f * amp_pot(ji,jj,jk) * COS( phi_pot(ji,jj,jk) & |
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289 | & + tide_harmonics(jk)%v0 + tide_harmonics(jk)%u ) |
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290 | ztmp2 = -tide_harmonics(jk)%f * amp_pot(ji,jj,jk) * SIN( phi_pot(ji,jj,jk) & |
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291 | & + tide_harmonics(jk)%v0 + tide_harmonics(jk)%u ) |
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292 | zlat = gphit(ji,jj)*rad !! latitude en radian |
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293 | zlon = glamt(ji,jj)*rad !! longitude en radian |
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294 | ztmp = tide_harmonics(jk)%v0 + tide_harmonics(jk)%u + tide_components(jk)%nt * zlon |
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295 | ! le potentiel est composé des effets des astres: |
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296 | SELECT CASE( tide_components(jk)%nt ) |
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297 | CASE( 0 ) ! long-periodic tidal constituents (included unless |
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298 | zcs = zcons * ( 0.5_wp - 1.5_wp * SIN( zlat )**2 ) ! compatibility with original formulation is requested) |
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299 | IF ( nn_tide_var < 1 ) zcs = 0.0_wp |
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300 | CASE( 1 ) ! diurnal tidal constituents |
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301 | zcs = zcons * SIN( 2.0_wp*zlat ) |
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302 | CASE( 2 ) ! semi-diurnal tidal constituents |
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303 | zcs = zcons * COS( zlat )**2 |
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304 | CASE( 3 ) ! Terdiurnal tidal constituents; the colatitude-dependent |
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305 | zcs = zcons * COS( zlat )**3 ! factor is sin(theta)^3 (Table 2 of CT71) |
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306 | CASE DEFAULT ! constituents of higher frequency are not included |
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307 | zcs = 0.0_wp |
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308 | END SELECT |
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309 | ztmp1 = ztmp1 + zcs * COS( ztmp ) |
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310 | ztmp2 = ztmp2 - zcs * SIN( ztmp ) |
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311 | zamp = SQRT( ztmp1*ztmp1 + ztmp2*ztmp2 ) |
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312 | amp_pot(ji,jj,jk) = zamp |
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313 | phi_pot(ji,jj,jk) = ATAN2( -ztmp2 / MAX( 1.e-10_wp , zamp ) , & |
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314 | & ztmp1 / MAX( 1.e-10_wp, zamp ) ) |
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315 | END DO |
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316 | END DO |
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317 | END DO |
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318 | ! |
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319 | END SUBROUTINE tide_init_potential |
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320 | |
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321 | |
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322 | SUBROUTINE tide_init_load |
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323 | !!---------------------------------------------------------------------- |
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324 | !! *** ROUTINE tide_init_load *** |
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325 | !!---------------------------------------------------------------------- |
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326 | INTEGER :: inum ! Logical unit of input file |
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327 | INTEGER :: ji, jj, itide ! dummy loop indices |
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328 | REAL(wp), DIMENSION(jpi,jpj) :: ztr, zti !: workspace to read in tidal harmonics data |
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329 | !!---------------------------------------------------------------------- |
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330 | IF(lwp) THEN |
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331 | WRITE(numout,*) |
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332 | WRITE(numout,*) 'tide_init_load : Initialization of load potential from file' |
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333 | WRITE(numout,*) '~~~~~~~~~~~~~~ ' |
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334 | ENDIF |
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335 | ! |
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336 | CALL iom_open ( cn_tide_load , inum ) |
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337 | ! |
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338 | DO itide = 1, nb_harmo |
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339 | CALL iom_get ( inum, jpdom_data,TRIM(tide_components(itide)%cname_tide)//'_z1', ztr(:,:) ) |
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340 | CALL iom_get ( inum, jpdom_data,TRIM(tide_components(itide)%cname_tide)//'_z2', zti(:,:) ) |
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341 | ! |
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342 | DO ji=1,jpi |
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343 | DO jj=1,jpj |
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344 | amp_load(ji,jj,itide) = SQRT( ztr(ji,jj)**2. + zti(ji,jj)**2. ) |
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345 | phi_load(ji,jj,itide) = ATAN2(-zti(ji,jj), ztr(ji,jj) ) |
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346 | END DO |
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347 | END DO |
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348 | ! |
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349 | END DO |
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350 | CALL iom_close( inum ) |
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351 | ! |
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352 | END SUBROUTINE tide_init_load |
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353 | |
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354 | |
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355 | SUBROUTINE tide_update( kt ) |
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356 | !!---------------------------------------------------------------------- |
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357 | !! *** ROUTINE tide_update *** |
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358 | !!---------------------------------------------------------------------- |
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359 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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360 | INTEGER :: jk ! dummy loop index |
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361 | !!---------------------------------------------------------------------- |
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362 | |
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363 | IF( nsec_day == NINT(0.5_wp * rdt) .OR. kt == nit000 ) THEN ! start a new day |
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364 | ! |
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365 | CALL tide_harmo(tide_components, tide_harmonics, ndt05) ! Update oscillation parameters of tidal components for start of current day |
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366 | ! |
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367 | ! |
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368 | IF(lwp) THEN |
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369 | WRITE(numout,*) |
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370 | WRITE(numout,*) 'tide_update : Update of the components and (re)Init. the potential at kt=', kt |
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371 | WRITE(numout,*) '~~~~~~~~~~~ ' |
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372 | DO jk = 1, nb_harmo |
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373 | WRITE(numout,*) tide_harmonics(jk)%cname_tide, tide_harmonics(jk)%u, & |
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374 | & tide_harmonics(jk)%f,tide_harmonics(jk)%v0, tide_harmonics(jk)%omega |
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375 | END DO |
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376 | ENDIF |
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377 | ! |
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378 | IF( ln_tide_pot ) CALL tide_init_potential |
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379 | ! |
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380 | rn_tide_ramp_t = (kt - nit000)*rdt ! Elapsed time in seconds |
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381 | ENDIF |
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382 | ! |
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383 | END SUBROUTINE tide_update |
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384 | |
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385 | |
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386 | SUBROUTINE tide_harmo( ptide_comp, ptide_harmo, psec_day ) |
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387 | ! |
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388 | TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters |
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389 | TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components |
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390 | INTEGER, OPTIONAL :: psec_day ! Number of seconds since the start of the current day |
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391 | ! |
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392 | IF (PRESENT(psec_day)) THEN |
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393 | CALL astronomic_angle(psec_day) |
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394 | ELSE |
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395 | CALL astronomic_angle(nsec_day) |
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396 | END IF |
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397 | CALL tide_pulse( ptide_comp, ptide_harmo ) |
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398 | CALL tide_vuf( ptide_comp, ptide_harmo ) |
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399 | ! |
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400 | END SUBROUTINE tide_harmo |
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401 | |
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402 | |
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403 | SUBROUTINE astronomic_angle(psec_day) |
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404 | !!---------------------------------------------------------------------- |
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405 | !! tj is time elapsed since 1st January 1900, 0 hour, counted in julian |
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406 | !! century (e.g. time in days divide by 36525) |
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407 | !!---------------------------------------------------------------------- |
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408 | INTEGER :: psec_day ! Number of seconds from midnight |
---|
409 | REAL(wp) :: cosI, p, q, t2, t4, sin2I, s2, tgI2, P1, sh_tgn2, at1, at2 |
---|
410 | REAL(wp) :: zqy , zsy, zday, zdj, zhfrac |
---|
411 | !!---------------------------------------------------------------------- |
---|
412 | ! |
---|
413 | zqy = AINT( (nyear-1901.)/4. ) |
---|
414 | zsy = nyear - 1900. |
---|
415 | ! |
---|
416 | zdj = dayjul( nyear, nmonth, nday ) |
---|
417 | zday = zdj + zqy - 1. |
---|
418 | ! |
---|
419 | zhfrac = psec_day / 3600. |
---|
420 | ! |
---|
421 | !---------------------------------------------------------------------- |
---|
422 | ! Sh_n Longitude of ascending lunar node |
---|
423 | !---------------------------------------------------------------------- |
---|
424 | sh_N=(259.1560564-19.328185764*zsy-.0529539336*zday-.0022064139*zhfrac)*rad |
---|
425 | !---------------------------------------------------------------------- |
---|
426 | ! T mean solar angle (Greenwhich time) |
---|
427 | !---------------------------------------------------------------------- |
---|
428 | sh_T=(180.+zhfrac*(360./24.))*rad |
---|
429 | !---------------------------------------------------------------------- |
---|
430 | ! h mean solar Longitude |
---|
431 | !---------------------------------------------------------------------- |
---|
432 | sh_h=(280.1895014-.238724988*zsy+.9856473288*zday+.0410686387*zhfrac)*rad |
---|
433 | !---------------------------------------------------------------------- |
---|
434 | ! s mean lunar Longitude |
---|
435 | !---------------------------------------------------------------------- |
---|
436 | sh_s=(277.0256206+129.38482032*zsy+13.176396768*zday+.549016532*zhfrac)*rad |
---|
437 | !---------------------------------------------------------------------- |
---|
438 | ! p1 Longitude of solar perigee |
---|
439 | !---------------------------------------------------------------------- |
---|
440 | sh_p1=(281.2208569+.01717836*zsy+.000047064*zday+.000001961*zhfrac)*rad |
---|
441 | !---------------------------------------------------------------------- |
---|
442 | ! p Longitude of lunar perigee |
---|
443 | !---------------------------------------------------------------------- |
---|
444 | sh_p=(334.3837214+40.66246584*zsy+.111404016*zday+.004641834*zhfrac)*rad |
---|
445 | |
---|
446 | sh_N = MOD( sh_N ,2*rpi ) |
---|
447 | sh_s = MOD( sh_s ,2*rpi ) |
---|
448 | sh_h = MOD( sh_h, 2*rpi ) |
---|
449 | sh_p = MOD( sh_p, 2*rpi ) |
---|
450 | sh_p1= MOD( sh_p1,2*rpi ) |
---|
451 | |
---|
452 | cosI = 0.913694997 -0.035692561 *cos(sh_N) |
---|
453 | |
---|
454 | sh_I = ACOS( cosI ) |
---|
455 | |
---|
456 | sin2I = sin(sh_I) |
---|
457 | sh_tgn2 = tan(sh_N/2.0) |
---|
458 | |
---|
459 | at1=atan(1.01883*sh_tgn2) |
---|
460 | at2=atan(0.64412*sh_tgn2) |
---|
461 | |
---|
462 | sh_xi=-at1-at2+sh_N |
---|
463 | |
---|
464 | IF( sh_N > rpi ) sh_xi=sh_xi-2.0*rpi |
---|
465 | |
---|
466 | sh_nu = at1 - at2 |
---|
467 | |
---|
468 | !---------------------------------------------------------------------- |
---|
469 | ! For constituents l2 k1 k2 |
---|
470 | !---------------------------------------------------------------------- |
---|
471 | |
---|
472 | tgI2 = tan(sh_I/2.0) |
---|
473 | P1 = sh_p-sh_xi |
---|
474 | |
---|
475 | t2 = tgI2*tgI2 |
---|
476 | t4 = t2*t2 |
---|
477 | sh_x1ra = sqrt( 1.0-12.0*t2*cos(2.0*P1)+36.0*t4 ) |
---|
478 | |
---|
479 | p = sin(2.0*P1) |
---|
480 | q = 1.0/(6.0*t2)-cos(2.0*P1) |
---|
481 | sh_R = atan(p/q) |
---|
482 | |
---|
483 | p = sin(2.0*sh_I)*sin(sh_nu) |
---|
484 | q = sin(2.0*sh_I)*cos(sh_nu)+0.3347 |
---|
485 | sh_nuprim = atan(p/q) |
---|
486 | |
---|
487 | s2 = sin(sh_I)*sin(sh_I) |
---|
488 | p = s2*sin(2.0*sh_nu) |
---|
489 | q = s2*cos(2.0*sh_nu)+0.0727 |
---|
490 | sh_nusec = 0.5*atan(p/q) |
---|
491 | ! |
---|
492 | END SUBROUTINE astronomic_angle |
---|
493 | |
---|
494 | |
---|
495 | SUBROUTINE tide_pulse( ptide_comp, ptide_harmo ) |
---|
496 | !!---------------------------------------------------------------------- |
---|
497 | !! *** ROUTINE tide_pulse *** |
---|
498 | !! |
---|
499 | !! ** Purpose : Compute tidal frequencies |
---|
500 | !!---------------------------------------------------------------------- |
---|
501 | TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters |
---|
502 | TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components |
---|
503 | ! |
---|
504 | INTEGER :: jh |
---|
505 | REAL(wp) :: zscale |
---|
506 | REAL(wp) :: zomega_T = 13149000.0_wp |
---|
507 | REAL(wp) :: zomega_s = 481267.892_wp |
---|
508 | REAL(wp) :: zomega_h = 36000.76892_wp |
---|
509 | REAL(wp) :: zomega_p = 4069.0322056_wp |
---|
510 | REAL(wp) :: zomega_n = 1934.1423972_wp |
---|
511 | REAL(wp) :: zomega_p1= 1.719175_wp |
---|
512 | !!---------------------------------------------------------------------- |
---|
513 | ! |
---|
514 | zscale = rad / ( 36525._wp * 86400._wp ) |
---|
515 | ! |
---|
516 | DO jh = 1, size(ptide_harmo) |
---|
517 | ptide_harmo(jh)%omega = ( zomega_T * ptide_comp( jh )%nT & |
---|
518 | & + zomega_s * ptide_comp( jh )%ns & |
---|
519 | & + zomega_h * ptide_comp( jh )%nh & |
---|
520 | & + zomega_p * ptide_comp( jh )%np & |
---|
521 | & + zomega_p1* ptide_comp( jh )%np1 ) * zscale |
---|
522 | END DO |
---|
523 | ! |
---|
524 | END SUBROUTINE tide_pulse |
---|
525 | |
---|
526 | |
---|
527 | SUBROUTINE tide_vuf( ptide_comp, ptide_harmo ) |
---|
528 | !!---------------------------------------------------------------------- |
---|
529 | !! *** ROUTINE tide_vuf *** |
---|
530 | !! |
---|
531 | !! ** Purpose : Compute nodal modulation corrections |
---|
532 | !! |
---|
533 | !! ** Outputs : vt: Phase of tidal potential relative to Greenwich (radians) |
---|
534 | !! ut: Phase correction u due to nodal motion (radians) |
---|
535 | !! ft: Nodal correction factor |
---|
536 | !!---------------------------------------------------------------------- |
---|
537 | TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters |
---|
538 | TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components |
---|
539 | ! |
---|
540 | INTEGER :: jh ! dummy loop index |
---|
541 | !!---------------------------------------------------------------------- |
---|
542 | ! |
---|
543 | DO jh = 1, size(ptide_harmo) |
---|
544 | ! Phase of the tidal potential relative to the Greenwhich |
---|
545 | ! meridian (e.g. the position of the fictuous celestial body). Units are radian: |
---|
546 | ptide_harmo(jh)%v0 = sh_T * ptide_comp( jh )%nT & |
---|
547 | & + sh_s * ptide_comp( jh )%ns & |
---|
548 | & + sh_h * ptide_comp( jh )%nh & |
---|
549 | & + sh_p * ptide_comp( jh )%np & |
---|
550 | & + sh_p1* ptide_comp( jh )%np1 & |
---|
551 | & + ptide_comp( jh )%shift * rad |
---|
552 | ! |
---|
553 | ! Phase correction u due to nodal motion. Units are radian: |
---|
554 | ptide_harmo(jh)%u = sh_xi * ptide_comp( jh )%nksi & |
---|
555 | & + sh_nu * ptide_comp( jh )%nnu0 & |
---|
556 | & + sh_nuprim * ptide_comp( jh )%nnu1 & |
---|
557 | & + sh_nusec * ptide_comp( jh )%nnu2 & |
---|
558 | & + sh_R * ptide_comp( jh )%R |
---|
559 | |
---|
560 | ! Nodal correction factor: |
---|
561 | ptide_harmo(jh)%f = nodal_factort( ptide_comp( jh )%nformula ) |
---|
562 | END DO |
---|
563 | ! |
---|
564 | END SUBROUTINE tide_vuf |
---|
565 | |
---|
566 | |
---|
567 | RECURSIVE FUNCTION nodal_factort( kformula ) RESULT( zf ) |
---|
568 | !!---------------------------------------------------------------------- |
---|
569 | !!---------------------------------------------------------------------- |
---|
570 | INTEGER, INTENT(in) :: kformula |
---|
571 | ! |
---|
572 | REAL(wp) :: zf |
---|
573 | REAL(wp) :: zs, zf1, zf2 |
---|
574 | !!---------------------------------------------------------------------- |
---|
575 | ! |
---|
576 | SELECT CASE( kformula ) |
---|
577 | ! |
---|
578 | CASE( 0 ) !== formule 0, solar waves |
---|
579 | zf = 1.0 |
---|
580 | ! |
---|
581 | CASE( 1 ) !== formule 1, compound waves (78 x 78) |
---|
582 | zf=nodal_factort(78) |
---|
583 | zf = zf * zf |
---|
584 | ! |
---|
585 | CASE ( 2 ) !== formule 2, compound waves (78 x 0) === (78) |
---|
586 | zf1= nodal_factort(78) |
---|
587 | zf = nodal_factort( 0) |
---|
588 | zf = zf1 * zf |
---|
589 | ! |
---|
590 | CASE ( 4 ) !== formule 4, compound waves (78 x 235) |
---|
591 | zf1 = nodal_factort( 78) |
---|
592 | zf = nodal_factort(235) |
---|
593 | zf = zf1 * zf |
---|
594 | ! |
---|
595 | CASE ( 5 ) !== formule 5, compound waves (78 *78 x 235) |
---|
596 | zf1 = nodal_factort( 78) |
---|
597 | zf = nodal_factort(235) |
---|
598 | zf = zf * zf1 * zf1 |
---|
599 | ! |
---|
600 | CASE ( 6 ) !== formule 6, compound waves (78 *78 x 0) |
---|
601 | zf1 = nodal_factort(78) |
---|
602 | zf = nodal_factort( 0) |
---|
603 | zf = zf * zf1 * zf1 |
---|
604 | ! |
---|
605 | CASE( 7 ) !== formule 7, compound waves (75 x 75) |
---|
606 | zf = nodal_factort(75) |
---|
607 | zf = zf * zf |
---|
608 | ! |
---|
609 | CASE( 8 ) !== formule 8, compound waves (78 x 0 x 235) |
---|
610 | zf = nodal_factort( 78) |
---|
611 | zf1 = nodal_factort( 0) |
---|
612 | zf2 = nodal_factort(235) |
---|
613 | zf = zf * zf1 * zf2 |
---|
614 | ! |
---|
615 | CASE( 9 ) !== formule 9, compound waves (78 x 0 x 227) |
---|
616 | zf = nodal_factort( 78) |
---|
617 | zf1 = nodal_factort( 0) |
---|
618 | zf2 = nodal_factort(227) |
---|
619 | zf = zf * zf1 * zf2 |
---|
620 | ! |
---|
621 | CASE( 10 ) !== formule 10, compound waves (78 x 227) |
---|
622 | zf = nodal_factort( 78) |
---|
623 | zf1 = nodal_factort(227) |
---|
624 | zf = zf * zf1 |
---|
625 | ! |
---|
626 | CASE( 11 ) !== formule 11, compound waves (75 x 0) |
---|
627 | !!gm bug???? zf 2 fois ! |
---|
628 | zf = nodal_factort(75) |
---|
629 | zf1 = nodal_factort( 0) |
---|
630 | zf = zf * zf1 |
---|
631 | ! |
---|
632 | CASE( 12 ) !== formule 12, compound waves (78 x 78 x 78 x 0) |
---|
633 | zf1 = nodal_factort(78) |
---|
634 | zf = nodal_factort( 0) |
---|
635 | zf = zf * zf1 * zf1 * zf1 |
---|
636 | ! |
---|
637 | CASE( 13 ) !== formule 13, compound waves (78 x 75) |
---|
638 | zf1 = nodal_factort(78) |
---|
639 | zf = nodal_factort(75) |
---|
640 | zf = zf * zf1 |
---|
641 | ! |
---|
642 | CASE( 14 ) !== formule 14, compound waves (235 x 0) === (235) |
---|
643 | zf = nodal_factort(235) |
---|
644 | zf1 = nodal_factort( 0) |
---|
645 | zf = zf * zf1 |
---|
646 | ! |
---|
647 | CASE( 15 ) !== formule 15, compound waves (235 x 75) |
---|
648 | zf = nodal_factort(235) |
---|
649 | zf1 = nodal_factort( 75) |
---|
650 | zf = zf * zf1 |
---|
651 | ! |
---|
652 | CASE( 16 ) !== formule 16, compound waves (78 x 0 x 0) === (78) |
---|
653 | zf = nodal_factort(78) |
---|
654 | zf1 = nodal_factort( 0) |
---|
655 | zf = zf * zf1 * zf1 |
---|
656 | ! |
---|
657 | CASE( 17 ) !== formule 17, compound waves (227 x 0) |
---|
658 | zf1 = nodal_factort(227) |
---|
659 | zf = nodal_factort( 0) |
---|
660 | zf = zf * zf1 |
---|
661 | ! |
---|
662 | CASE( 18 ) !== formule 18, compound waves (78 x 78 x 78 ) |
---|
663 | zf1 = nodal_factort(78) |
---|
664 | zf = zf1 * zf1 * zf1 |
---|
665 | ! |
---|
666 | CASE( 19 ) !== formule 19, compound waves (78 x 0 x 0 x 0) === (78) |
---|
667 | !!gm bug2 ==>>> here identical to formule 16, a third multiplication by zf1 is missing |
---|
668 | zf = nodal_factort(78) |
---|
669 | zf1 = nodal_factort( 0) |
---|
670 | zf = zf * zf1 * zf1 |
---|
671 | ! |
---|
672 | CASE( 20 ) !== formula 20, compound waves ( 78 x 78 x 78 x 78 ) |
---|
673 | zf1 = nodal_factort(78) |
---|
674 | zf = zf1 * zf1 * zf1 * zf1 |
---|
675 | ! |
---|
676 | CASE( 73 ) !== formule 73 |
---|
677 | zs = sin(sh_I) |
---|
678 | zf = (2./3.-zs*zs)/0.5021 |
---|
679 | ! |
---|
680 | CASE( 74 ) !== formule 74 |
---|
681 | zs = sin(sh_I) |
---|
682 | zf = zs * zs / 0.1578 |
---|
683 | ! |
---|
684 | CASE( 75 ) !== formule 75 |
---|
685 | zs = cos(sh_I/2) |
---|
686 | zf = sin(sh_I) * zs * zs / 0.3800 |
---|
687 | ! |
---|
688 | CASE( 76 ) !== formule 76 |
---|
689 | zf = sin(2*sh_I) / 0.7214 |
---|
690 | ! |
---|
691 | CASE( 77 ) !== formule 77 |
---|
692 | zs = sin(sh_I/2) |
---|
693 | zf = sin(sh_I) * zs * zs / 0.0164 |
---|
694 | ! |
---|
695 | CASE( 78 ) !== formule 78 |
---|
696 | zs = cos(sh_I/2) |
---|
697 | zf = zs * zs * zs * zs / 0.9154 |
---|
698 | ! |
---|
699 | CASE( 79 ) !== formule 79 |
---|
700 | zs = sin(sh_I) |
---|
701 | zf = zs * zs / 0.1565 |
---|
702 | ! |
---|
703 | CASE( 144 ) !== formule 144 |
---|
704 | zs = sin(sh_I/2) |
---|
705 | zf = ( 1-10*zs*zs+15*zs*zs*zs*zs ) * cos(sh_I/2) / 0.5873 |
---|
706 | ! |
---|
707 | CASE( 149 ) !== formule 149 |
---|
708 | zs = cos(sh_I/2) |
---|
709 | zf = zs*zs*zs*zs*zs*zs / 0.8758 |
---|
710 | ! |
---|
711 | CASE( 215 ) !== formule 215 |
---|
712 | zs = cos(sh_I/2) |
---|
713 | zf = zs*zs*zs*zs / 0.9154 * sh_x1ra |
---|
714 | ! |
---|
715 | CASE( 227 ) !== formule 227 |
---|
716 | zs = sin(2*sh_I) |
---|
717 | zf = sqrt( 0.8965*zs*zs+0.6001*zs*cos (sh_nu)+0.1006 ) |
---|
718 | ! |
---|
719 | CASE ( 235 ) !== formule 235 |
---|
720 | zs = sin(sh_I) |
---|
721 | zf = sqrt( 19.0444*zs*zs*zs*zs + 2.7702*zs*zs*cos(2*sh_nu) + .0981 ) |
---|
722 | ! |
---|
723 | END SELECT |
---|
724 | ! |
---|
725 | END FUNCTION nodal_factort |
---|
726 | |
---|
727 | |
---|
728 | FUNCTION dayjul( kyr, kmonth, kday ) |
---|
729 | !!---------------------------------------------------------------------- |
---|
730 | !! *** THIS ROUTINE COMPUTES THE JULIAN DAY (AS A REAL VARIABLE) |
---|
731 | !!---------------------------------------------------------------------- |
---|
732 | INTEGER,INTENT(in) :: kyr, kmonth, kday |
---|
733 | ! |
---|
734 | INTEGER,DIMENSION(12) :: idayt, idays |
---|
735 | INTEGER :: inc, ji |
---|
736 | REAL(wp) :: dayjul, zyq |
---|
737 | ! |
---|
738 | DATA idayt/0.,31.,59.,90.,120.,151.,181.,212.,243.,273.,304.,334./ |
---|
739 | !!---------------------------------------------------------------------- |
---|
740 | ! |
---|
741 | idays(1) = 0. |
---|
742 | idays(2) = 31. |
---|
743 | inc = 0. |
---|
744 | zyq = MOD( kyr-1900. , 4. ) |
---|
745 | IF( zyq == 0.) inc = 1. |
---|
746 | DO ji = 3, 12 |
---|
747 | idays(ji)=idayt(ji)+inc |
---|
748 | END DO |
---|
749 | dayjul = idays(kmonth) + kday |
---|
750 | ! |
---|
751 | END FUNCTION dayjul |
---|
752 | |
---|
753 | |
---|
754 | SUBROUTINE upd_tide(pdelta) |
---|
755 | !!---------------------------------------------------------------------- |
---|
756 | !! *** ROUTINE upd_tide *** |
---|
757 | !! |
---|
758 | !! ** Purpose : provide at each time step the astronomical potential |
---|
759 | !! |
---|
760 | !! ** Method : computed from pulsation and amplitude of all tide components |
---|
761 | !! |
---|
762 | !! ** Action : pot_astro actronomical potential |
---|
763 | !!---------------------------------------------------------------------- |
---|
764 | REAL, INTENT(in) :: pdelta ! Temporal offset in seconds |
---|
765 | INTEGER :: jk ! Dummy loop index |
---|
766 | REAL(wp) :: zt, zramp ! Local scalars |
---|
767 | REAL(wp), DIMENSION(nb_harmo) :: zwt ! Temporary array |
---|
768 | !!---------------------------------------------------------------------- |
---|
769 | ! |
---|
770 | zwt(:) = tide_harmonics(:)%omega * pdelta |
---|
771 | ! |
---|
772 | IF( ln_tide_ramp ) THEN ! linear increase if asked |
---|
773 | zt = rn_tide_ramp_t + pdelta |
---|
774 | zramp = MIN( MAX( zt / (rn_tide_ramp_dt*rday) , 0._wp ) , 1._wp ) |
---|
775 | ENDIF |
---|
776 | ! |
---|
777 | pot_astro(:,:) = 0._wp ! update tidal potential (sum of all harmonics) |
---|
778 | DO jk = 1, nb_harmo |
---|
779 | IF ( .NOT. ln_tide_dia ) THEN |
---|
780 | pot_astro(:,:) = pot_astro(:,:) + amp_pot(:,:,jk) * COS( zwt(jk) + phi_pot(:,:,jk) ) |
---|
781 | ELSE |
---|
782 | pot_astro_comp(:,:) = amp_pot(:,:,jk) * COS( zwt(jk) + phi_pot(:,:,jk) ) |
---|
783 | pot_astro(:,:) = pot_astro(:,:) + pot_astro_comp(:,:) |
---|
784 | IF ( iom_use( "tide_pot_" // TRIM( tide_harmonics(jk)%cname_tide ) ) ) THEN ! Output tidal potential (incl. load potential) |
---|
785 | IF ( ln_tide_ramp ) pot_astro_comp(:,:) = zramp * pot_astro_comp(:,:) |
---|
786 | CALL iom_put( "tide_pot_" // TRIM( tide_harmonics(jk)%cname_tide ), pot_astro_comp(:,:) ) |
---|
787 | END IF |
---|
788 | END IF |
---|
789 | END DO |
---|
790 | ! |
---|
791 | IF ( ln_tide_ramp ) pot_astro(:,:) = zramp * pot_astro(:,:) |
---|
792 | ! |
---|
793 | IF( ln_tide_dia ) THEN ! Output total tidal potential (incl. load potential) |
---|
794 | IF ( iom_use( "tide_pot" ) ) CALL iom_put( "tide_pot", pot_astro(:,:) + rn_scal_load * sshn(:,:) ) |
---|
795 | END IF |
---|
796 | ! |
---|
797 | END SUBROUTINE upd_tide |
---|
798 | |
---|
799 | !!====================================================================== |
---|
800 | END MODULE tide_mod |
---|