1 | MODULE sshwzv |
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2 | !!============================================================================== |
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3 | !! *** MODULE sshwzv *** |
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4 | !! Ocean dynamics : sea surface height and vertical velocity |
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5 | !!============================================================================== |
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6 | !! History : 3.1 ! 2009-02 (G. Madec, M. Leclair) Original code |
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7 | !! 3.3 ! 2010-04 (M. Leclair, G. Madec) modified LF-RA |
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8 | !! - ! 2010-05 (K. Mogensen, A. Weaver, M. Martin, D. Lea) Assimilation interface |
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9 | !! - ! 2010-09 (D.Storkey and E.O'Dea) bug fixes for BDY module |
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10 | !! 3.3 ! 2011-10 (M. Leclair) split former ssh_wzv routine and remove all vvl related work |
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11 | !! 4.0 ! 2018-12 (A. Coward) add mixed implicit/explicit advection |
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12 | !! 4.1 ! 2019-08 (A. Coward, D. Storkey) Rename ssh_nxt -> ssh_atf. Now only does time filtering. |
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13 | !!---------------------------------------------------------------------- |
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14 | |
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15 | !!---------------------------------------------------------------------- |
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16 | !! ssh_nxt : after ssh |
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17 | !! ssh_atf : time filter the ssh arrays |
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18 | !! wzv : compute now vertical velocity |
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19 | !!---------------------------------------------------------------------- |
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20 | USE oce ! ocean dynamics and tracers variables |
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21 | USE isf_oce ! ice shelf |
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22 | USE dom_oce ! ocean space and time domain variables |
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23 | USE sbc_oce ! surface boundary condition: ocean |
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24 | USE domvvl ! Variable volume |
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25 | USE divhor ! horizontal divergence |
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26 | USE phycst ! physical constants |
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27 | USE bdy_oce , ONLY : ln_bdy, bdytmask ! Open BounDarY |
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28 | USE bdydyn2d ! bdy_ssh routine |
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29 | #if defined key_agrif |
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30 | USE agrif_oce_interp |
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31 | #endif |
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32 | ! |
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33 | USE iom |
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34 | USE in_out_manager ! I/O manager |
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35 | USE restart ! only for lrst_oce |
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36 | USE prtctl ! Print control |
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37 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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38 | USE lib_mpp ! MPP library |
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39 | USE timing ! Timing |
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40 | USE wet_dry ! Wetting/Drying flux limiting |
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41 | |
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42 | IMPLICIT NONE |
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43 | PRIVATE |
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44 | |
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45 | PUBLIC ssh_nxt ! called by step.F90 |
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46 | PUBLIC wzv ! called by step.F90 |
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47 | PUBLIC wAimp ! called by step.F90 |
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48 | PUBLIC ssh_atf ! called by step.F90 |
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49 | |
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50 | !! * Substitutions |
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51 | # include "do_loop_substitute.h90" |
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52 | !!---------------------------------------------------------------------- |
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53 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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54 | !! $Id$ |
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55 | !! Software governed by the CeCILL license (see ./LICENSE) |
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56 | !!---------------------------------------------------------------------- |
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57 | CONTAINS |
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58 | |
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59 | SUBROUTINE ssh_nxt( kt, Kbb, Kmm, pssh, Kaa ) |
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60 | !!---------------------------------------------------------------------- |
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61 | !! *** ROUTINE ssh_nxt *** |
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62 | !! |
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63 | !! ** Purpose : compute the after ssh (ssh(Kaa)) |
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64 | !! |
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65 | !! ** Method : - Using the incompressibility hypothesis, the ssh increment |
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66 | !! is computed by integrating the horizontal divergence and multiply by |
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67 | !! by the time step. |
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68 | !! |
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69 | !! ** action : ssh(:,:,Kaa), after sea surface height |
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70 | !! |
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71 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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72 | !!---------------------------------------------------------------------- |
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73 | INTEGER , INTENT(in ) :: kt ! time step |
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74 | INTEGER , INTENT(in ) :: Kbb, Kmm, Kaa ! time level index |
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75 | REAL(wp), DIMENSION(jpi,jpj,jpt), INTENT(inout) :: pssh ! sea-surface height |
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76 | ! |
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77 | INTEGER :: jk ! dummy loop index |
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78 | REAL(wp) :: zcoef ! local scalar |
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79 | REAL(wp), DIMENSION(jpi,jpj) :: zhdiv ! 2D workspace |
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80 | !!---------------------------------------------------------------------- |
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81 | ! |
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82 | IF( ln_timing ) CALL timing_start('ssh_nxt') |
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83 | ! |
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84 | IF( kt == nit000 ) THEN |
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85 | IF(lwp) WRITE(numout,*) |
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86 | IF(lwp) WRITE(numout,*) 'ssh_nxt : after sea surface height' |
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87 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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88 | ENDIF |
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89 | ! |
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90 | zcoef = 0.5_wp * r1_rho0 |
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91 | |
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92 | ! !------------------------------! |
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93 | ! ! After Sea Surface Height ! |
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94 | ! !------------------------------! |
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95 | IF(ln_wd_il) THEN |
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96 | CALL wad_lmt(pssh(:,:,Kbb), zcoef * (emp_b(:,:) + emp(:,:)), rDt, Kmm, uu, vv ) |
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97 | ENDIF |
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98 | |
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99 | CALL div_hor( kt, Kbb, Kmm ) ! Horizontal divergence |
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100 | ! |
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101 | zhdiv(:,:) = 0._wp |
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102 | DO jk = 1, jpkm1 ! Horizontal divergence of barotropic transports |
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103 | zhdiv(:,:) = zhdiv(:,:) + e3t(:,:,jk,Kmm) * hdiv(:,:,jk) |
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104 | END DO |
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105 | ! ! Sea surface elevation time stepping |
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106 | ! In time-split case we need a first guess of the ssh after (using the baroclinic timestep) in order to |
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107 | ! compute the vertical velocity which can be used to compute the non-linear terms of the momentum equations. |
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108 | ! |
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109 | pssh(:,:,Kaa) = ( pssh(:,:,Kbb) - rDt * ( zcoef * ( emp_b(:,:) + emp(:,:) ) + zhdiv(:,:) ) ) * ssmask(:,:) |
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110 | ! |
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111 | #if defined key_agrif |
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112 | Kbb_a = Kbb; Kmm_a = Kmm; Krhs_a = Kaa; CALL agrif_ssh( kt ) |
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113 | #endif |
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114 | ! |
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115 | IF ( .NOT.ln_dynspg_ts ) THEN |
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116 | IF( ln_bdy ) THEN |
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117 | CALL lbc_lnk( 'sshwzv', pssh(:,:,Kaa), 'T', 1. ) ! Not sure that's necessary |
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118 | CALL bdy_ssh( pssh(:,:,Kaa) ) ! Duplicate sea level across open boundaries |
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119 | ENDIF |
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120 | ENDIF |
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121 | ! !------------------------------! |
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122 | ! ! outputs ! |
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123 | ! !------------------------------! |
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124 | ! |
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125 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab2d_1=pssh(:,:,Kaa), clinfo1=' pssh(:,:,Kaa) - : ', mask1=tmask ) |
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126 | ! |
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127 | IF( ln_timing ) CALL timing_stop('ssh_nxt') |
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128 | ! |
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129 | END SUBROUTINE ssh_nxt |
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130 | |
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131 | |
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132 | SUBROUTINE wzv( kt, Kbb, Kmm, pww, Kaa ) |
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133 | !!---------------------------------------------------------------------- |
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134 | !! *** ROUTINE wzv *** |
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135 | !! |
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136 | !! ** Purpose : compute the now vertical velocity |
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137 | !! |
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138 | !! ** Method : - Using the incompressibility hypothesis, the vertical |
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139 | !! velocity is computed by integrating the horizontal divergence |
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140 | !! from the bottom to the surface minus the scale factor evolution. |
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141 | !! The boundary conditions are w=0 at the bottom (no flux) and. |
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142 | !! |
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143 | !! ** action : pww : now vertical velocity |
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144 | !! |
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145 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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146 | !!---------------------------------------------------------------------- |
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147 | INTEGER , INTENT(in) :: kt ! time step |
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148 | INTEGER , INTENT(in) :: Kbb, Kmm, Kaa ! time level indices |
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149 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pww ! now vertical velocity |
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150 | ! |
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151 | INTEGER :: ji, jj, jk ! dummy loop indices |
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152 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: zhdiv |
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153 | !!---------------------------------------------------------------------- |
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154 | ! |
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155 | IF( ln_timing ) CALL timing_start('wzv') |
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156 | ! |
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157 | IF( kt == nit000 ) THEN |
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158 | IF(lwp) WRITE(numout,*) |
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159 | IF(lwp) WRITE(numout,*) 'wzv : now vertical velocity ' |
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160 | IF(lwp) WRITE(numout,*) '~~~~~ ' |
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161 | ! |
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162 | pww(:,:,jpk) = 0._wp ! bottom boundary condition: w=0 (set once for all) |
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163 | ENDIF |
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164 | ! !------------------------------! |
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165 | ! ! Now Vertical Velocity ! |
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166 | ! !------------------------------! |
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167 | ! |
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168 | IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN ! z_tilde and layer cases |
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169 | ALLOCATE( zhdiv(jpi,jpj,jpk) ) |
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170 | ! |
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171 | DO jk = 1, jpkm1 |
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172 | ! horizontal divergence of thickness diffusion transport ( velocity multiplied by e3t) |
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173 | ! - ML - note: computation already done in dom_vvl_sf_nxt. Could be optimized (not critical and clearer this way) |
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174 | DO_2D_00_00 |
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175 | zhdiv(ji,jj,jk) = r1_e1e2t(ji,jj) * ( un_td(ji,jj,jk) - un_td(ji-1,jj,jk) + vn_td(ji,jj,jk) - vn_td(ji,jj-1,jk) ) |
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176 | END_2D |
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177 | END DO |
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178 | CALL lbc_lnk('sshwzv', zhdiv, 'T', 1.) ! - ML - Perhaps not necessary: not used for horizontal "connexions" |
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179 | ! ! Is it problematic to have a wrong vertical velocity in boundary cells? |
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180 | ! ! Same question holds for hdiv. Perhaps just for security |
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181 | DO jk = jpkm1, 1, -1 ! integrate from the bottom the hor. divergence |
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182 | ! computation of w |
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183 | pww(:,:,jk) = pww(:,:,jk+1) - ( e3t(:,:,jk,Kmm) * hdiv(:,:,jk) + zhdiv(:,:,jk) & |
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184 | & + r1_Dt * ( e3t(:,:,jk,Kaa) - e3t(:,:,jk,Kbb) ) ) * tmask(:,:,jk) |
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185 | END DO |
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186 | ! IF( ln_vvl_layer ) pww(:,:,:) = 0.e0 |
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187 | DEALLOCATE( zhdiv ) |
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188 | ELSE ! z_star and linear free surface cases |
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189 | DO jk = jpkm1, 1, -1 ! integrate from the bottom the hor. divergence |
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190 | ! computation of w |
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191 | pww(:,:,jk) = pww(:,:,jk+1) - ( e3t(:,:,jk,Kmm) * hdiv(:,:,jk) & |
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192 | & + r1_Dt * ( e3t(:,:,jk,Kaa) - e3t(:,:,jk,Kbb) ) ) * tmask(:,:,jk) |
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193 | END DO |
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194 | ENDIF |
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195 | |
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196 | IF( ln_bdy ) THEN |
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197 | DO jk = 1, jpkm1 |
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198 | pww(:,:,jk) = pww(:,:,jk) * bdytmask(:,:) |
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199 | END DO |
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200 | ENDIF |
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201 | ! |
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202 | #if defined key_agrif |
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203 | IF( .NOT. AGRIF_Root() ) THEN |
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204 | IF ((nbondi == 1).OR.(nbondi == 2)) pww(nlci-1 , : ,:) = 0.e0 ! east |
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205 | IF ((nbondi == -1).OR.(nbondi == 2)) pww(2 , : ,:) = 0.e0 ! west |
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206 | IF ((nbondj == 1).OR.(nbondj == 2)) pww(: ,nlcj-1 ,:) = 0.e0 ! north |
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207 | IF ((nbondj == -1).OR.(nbondj == 2)) pww(: ,2 ,:) = 0.e0 ! south |
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208 | ENDIF |
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209 | #endif |
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210 | ! |
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211 | IF( ln_timing ) CALL timing_stop('wzv') |
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212 | ! |
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213 | END SUBROUTINE wzv |
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214 | |
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215 | |
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216 | SUBROUTINE ssh_atf( kt, Kbb, Kmm, Kaa, pssh ) |
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217 | !!---------------------------------------------------------------------- |
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218 | !! *** ROUTINE ssh_atf *** |
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219 | !! |
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220 | !! ** Purpose : Apply Asselin time filter to now SSH. |
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221 | !! |
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222 | !! ** Method : - apply Asselin time fiter to now ssh (excluding the forcing |
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223 | !! from the filter, see Leclair and Madec 2010) and swap : |
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224 | !! pssh(:,:,Kmm) = pssh(:,:,Kaa) + rn_atfp * ( pssh(:,:,Kbb) -2 pssh(:,:,Kmm) + pssh(:,:,Kaa) ) |
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225 | !! - rn_atfp * rn_Dt * ( emp_b - emp ) / rho0 |
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226 | !! |
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227 | !! ** action : - pssh(:,:,Kmm) time filtered |
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228 | !! |
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229 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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230 | !!---------------------------------------------------------------------- |
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231 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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232 | INTEGER , INTENT(in ) :: Kbb, Kmm, Kaa ! ocean time level indices |
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233 | REAL(wp), DIMENSION(jpi,jpj,jpt), INTENT(inout) :: pssh ! SSH field |
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234 | ! |
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235 | REAL(wp) :: zcoef ! local scalar |
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236 | !!---------------------------------------------------------------------- |
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237 | ! |
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238 | IF( ln_timing ) CALL timing_start('ssh_atf') |
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239 | ! |
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240 | IF( kt == nit000 ) THEN |
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241 | IF(lwp) WRITE(numout,*) |
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242 | IF(lwp) WRITE(numout,*) 'ssh_atf : Asselin time filter of sea surface height' |
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243 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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244 | ENDIF |
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245 | ! !== Euler time-stepping: no filter, just swap ==! |
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246 | IF ( .NOT.( l_1st_euler ) ) THEN ! Only do time filtering for leapfrog timesteps |
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247 | ! ! filtered "now" field |
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248 | pssh(:,:,Kmm) = pssh(:,:,Kmm) + rn_atfp * ( pssh(:,:,Kbb) - 2 * pssh(:,:,Kmm) + pssh(:,:,Kaa) ) |
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249 | IF( .NOT.ln_linssh ) THEN ! "now" <-- with forcing removed |
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250 | zcoef = rn_atfp * rn_Dt * r1_rho0 |
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251 | pssh(:,:,Kmm) = pssh(:,:,Kmm) - zcoef * ( emp_b(:,:) - emp (:,:) & |
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252 | & - rnf_b(:,:) + rnf (:,:) & |
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253 | & + fwfisf_cav_b(:,:) - fwfisf_cav(:,:) & |
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254 | & + fwfisf_par_b(:,:) - fwfisf_par(:,:) ) * ssmask(:,:) |
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255 | |
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256 | ! ice sheet coupling |
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257 | IF ( ln_isf .AND. ln_isfcpl .AND. kt == nit000+1) pssh(:,:,Kbb) = pssh(:,:,Kbb) - rn_atfp * rn_Dt * ( risfcpl_ssh(:,:) - 0.0 ) * ssmask(:,:) |
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258 | |
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259 | ENDIF |
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260 | ENDIF |
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261 | ! |
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262 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab2d_1=pssh(:,:,Kmm), clinfo1=' pssh(:,:,Kmm) - : ', mask1=tmask ) |
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263 | ! |
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264 | IF( ln_timing ) CALL timing_stop('ssh_atf') |
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265 | ! |
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266 | END SUBROUTINE ssh_atf |
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267 | |
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268 | SUBROUTINE wAimp( kt, Kmm ) |
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269 | !!---------------------------------------------------------------------- |
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270 | !! *** ROUTINE wAimp *** |
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271 | !! |
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272 | !! ** Purpose : compute the Courant number and partition vertical velocity |
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273 | !! if a proportion needs to be treated implicitly |
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274 | !! |
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275 | !! ** Method : - |
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276 | !! |
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277 | !! ** action : ww : now vertical velocity (to be handled explicitly) |
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278 | !! : wi : now vertical velocity (for implicit treatment) |
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279 | !! |
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280 | !! Reference : Shchepetkin, A. F. (2015): An adaptive, Courant-number-dependent |
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281 | !! implicit scheme for vertical advection in oceanic modeling. |
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282 | !! Ocean Modelling, 91, 38-69. |
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283 | !!---------------------------------------------------------------------- |
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284 | INTEGER, INTENT(in) :: kt ! time step |
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285 | INTEGER, INTENT(in) :: Kmm ! time level index |
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286 | ! |
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287 | INTEGER :: ji, jj, jk ! dummy loop indices |
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288 | REAL(wp) :: zCu, zcff, z1_e3t ! local scalars |
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289 | REAL(wp) , PARAMETER :: Cu_min = 0.15_wp ! local parameters |
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290 | REAL(wp) , PARAMETER :: Cu_max = 0.30_wp ! local parameters |
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291 | REAL(wp) , PARAMETER :: Cu_cut = 2._wp*Cu_max - Cu_min ! local parameters |
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292 | REAL(wp) , PARAMETER :: Fcu = 4._wp*Cu_max*(Cu_max-Cu_min) ! local parameters |
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293 | !!---------------------------------------------------------------------- |
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294 | ! |
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295 | IF( ln_timing ) CALL timing_start('wAimp') |
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296 | ! |
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297 | IF( kt == nit000 ) THEN |
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298 | IF(lwp) WRITE(numout,*) |
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299 | IF(lwp) WRITE(numout,*) 'wAimp : Courant number-based partitioning of now vertical velocity ' |
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300 | IF(lwp) WRITE(numout,*) '~~~~~ ' |
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301 | wi(:,:,:) = 0._wp |
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302 | ENDIF |
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303 | ! |
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304 | ! Calculate Courant numbers |
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305 | IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN |
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306 | DO_3D_00_00( 1, jpkm1 ) |
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307 | z1_e3t = 1._wp / e3t(ji,jj,jk,Kmm) |
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308 | ! 2*rn_Dt and not rDt (for restartability) |
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309 | Cu_adv(ji,jj,jk) = 2._wp * rn_Dt * ( ( MAX( ww(ji,jj,jk) , 0._wp ) - MIN( ww(ji,jj,jk+1) , 0._wp ) ) & |
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310 | & + ( MAX( e2u(ji ,jj)*e3u(ji ,jj,jk,Kmm)*uu(ji ,jj,jk,Kmm) + un_td(ji ,jj,jk), 0._wp ) - & |
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311 | & MIN( e2u(ji-1,jj)*e3u(ji-1,jj,jk,Kmm)*uu(ji-1,jj,jk,Kmm) + un_td(ji-1,jj,jk), 0._wp ) ) & |
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312 | & * r1_e1e2t(ji,jj) & |
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313 | & + ( MAX( e1v(ji,jj )*e3v(ji,jj ,jk,Kmm)*vv(ji,jj ,jk,Kmm) + vn_td(ji,jj ,jk), 0._wp ) - & |
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314 | & MIN( e1v(ji,jj-1)*e3v(ji,jj-1,jk,Kmm)*vv(ji,jj-1,jk,Kmm) + vn_td(ji,jj-1,jk), 0._wp ) ) & |
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315 | & * r1_e1e2t(ji,jj) & |
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316 | & ) * z1_e3t |
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317 | END_3D |
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318 | ELSE |
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319 | DO_3D_00_00( 1, jpkm1 ) |
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320 | z1_e3t = 1._wp / e3t(ji,jj,jk,Kmm) |
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321 | ! 2*rn_Dt and not rDt (for restartability) |
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322 | Cu_adv(ji,jj,jk) = 2._wp * rn_Dt * ( ( MAX( ww(ji,jj,jk) , 0._wp ) - MIN( ww(ji,jj,jk+1) , 0._wp ) ) & |
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323 | & + ( MAX( e2u(ji ,jj)*e3u(ji ,jj,jk,Kmm)*uu(ji ,jj,jk,Kmm), 0._wp ) - & |
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324 | & MIN( e2u(ji-1,jj)*e3u(ji-1,jj,jk,Kmm)*uu(ji-1,jj,jk,Kmm), 0._wp ) ) & |
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325 | & * r1_e1e2t(ji,jj) & |
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326 | & + ( MAX( e1v(ji,jj )*e3v(ji,jj ,jk,Kmm)*vv(ji,jj ,jk,Kmm), 0._wp ) - & |
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327 | & MIN( e1v(ji,jj-1)*e3v(ji,jj-1,jk,Kmm)*vv(ji,jj-1,jk,Kmm), 0._wp ) ) & |
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328 | & * r1_e1e2t(ji,jj) & |
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329 | & ) * z1_e3t |
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330 | END_3D |
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331 | ENDIF |
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332 | CALL lbc_lnk( 'sshwzv', Cu_adv, 'T', 1. ) |
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333 | ! |
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334 | CALL iom_put("Courant",Cu_adv) |
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335 | ! |
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336 | IF( MAXVAL( Cu_adv(:,:,:) ) > Cu_min ) THEN ! Quick check if any breaches anywhere |
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337 | DO_3DS_11_11( jpkm1, 2, -1 ) |
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338 | ! |
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339 | zCu = MAX( Cu_adv(ji,jj,jk) , Cu_adv(ji,jj,jk-1) ) |
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340 | ! alt: |
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341 | ! IF ( ww(ji,jj,jk) > 0._wp ) THEN |
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342 | ! zCu = Cu_adv(ji,jj,jk) |
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343 | ! ELSE |
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344 | ! zCu = Cu_adv(ji,jj,jk-1) |
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345 | ! ENDIF |
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346 | ! |
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347 | IF( zCu <= Cu_min ) THEN !<-- Fully explicit |
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348 | zcff = 0._wp |
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349 | ELSEIF( zCu < Cu_cut ) THEN !<-- Mixed explicit |
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350 | zcff = ( zCu - Cu_min )**2 |
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351 | zcff = zcff / ( Fcu + zcff ) |
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352 | ELSE !<-- Mostly implicit |
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353 | zcff = ( zCu - Cu_max )/ zCu |
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354 | ENDIF |
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355 | zcff = MIN(1._wp, zcff) |
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356 | ! |
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357 | wi(ji,jj,jk) = zcff * ww(ji,jj,jk) |
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358 | ww(ji,jj,jk) = ( 1._wp - zcff ) * ww(ji,jj,jk) |
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359 | ! |
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360 | Cu_adv(ji,jj,jk) = zcff ! Reuse array to output coefficient below and in stp_ctl |
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361 | END_3D |
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362 | Cu_adv(:,:,1) = 0._wp |
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363 | ELSE |
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364 | ! Fully explicit everywhere |
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365 | Cu_adv(:,:,:) = 0._wp ! Reuse array to output coefficient below and in stp_ctl |
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366 | wi (:,:,:) = 0._wp |
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367 | ENDIF |
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368 | CALL iom_put("wimp",wi) |
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369 | CALL iom_put("wi_cff",Cu_adv) |
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370 | CALL iom_put("wexp",ww) |
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371 | ! |
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372 | IF( ln_timing ) CALL timing_stop('wAimp') |
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373 | ! |
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374 | END SUBROUTINE wAimp |
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375 | !!====================================================================== |
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376 | END MODULE sshwzv |
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