1 | MODULE dynldf_lap |
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2 | !!====================================================================== |
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3 | !! *** MODULE dynldf_lap *** |
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4 | !! Ocean dynamics: lateral viscosity trend |
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5 | !!====================================================================== |
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6 | |
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7 | !!---------------------------------------------------------------------- |
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8 | !! dyn_ldf_lap : update the momentum trend with the lateral diffusion |
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9 | !! using an iso-level harmonic operator |
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10 | !!---------------------------------------------------------------------- |
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11 | !! * Modules used |
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12 | USE oce ! ocean dynamics and tracers |
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13 | USE dom_oce ! ocean space and time domain |
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14 | USE ldfdyn_oce ! ocean dynamics: lateral physics |
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15 | USE zdf_oce ! ocean vertical physics |
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16 | USE in_out_manager ! I/O manager |
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17 | USE trddyn_oce ! ocean dynamics trends |
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18 | USE ldfslp ! iso-neutral slopes |
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19 | |
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20 | IMPLICIT NONE |
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21 | PRIVATE |
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22 | |
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23 | !! * Routine accessibility |
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24 | PUBLIC dyn_ldf_lap ! called by step.F90 |
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25 | |
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26 | !! * Substitutions |
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27 | # include "domzgr_substitute.h90" |
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28 | # include "ldfdyn_substitute.h90" |
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29 | # include "vectopt_loop_substitute.h90" |
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30 | !!---------------------------------------------------------------------- |
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31 | !! OPA 9.0 , LODYC-IPSL (2003) |
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32 | !!---------------------------------------------------------------------- |
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33 | |
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34 | CONTAINS |
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35 | |
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36 | SUBROUTINE dyn_ldf_lap( kt ) |
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37 | !!---------------------------------------------------------------------- |
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38 | !! *** ROUTINE dyn_ldf_lap *** |
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39 | !! |
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40 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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41 | !! trend and add it to the general trend of tracer equation. |
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42 | !! |
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43 | !! ** Method : The before horizontal momentum diffusion trend is an |
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44 | !! harmonic operator (laplacian type) which separates the divergent |
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45 | !! and rotational parts of the flow. |
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46 | !! Its horizontal components are computed as follow: |
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47 | !! difu = 1/e1u di[ahmt hdivb] - 1/(e2u*e3u) dj-1[e3f ahmf rotb] |
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48 | !! difv = 1/e2v dj[ahmt hdivb] + 1/(e1v*e3v) di-1[e3f ahmf rotb] |
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49 | !! If 'key_s_coord' key is not activated, the vertical scale factor |
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50 | !! is simplified in the rotational part of the diffusion. |
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51 | !! Add this before trend to the general trend (ua,va): |
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52 | !! (ua,va) = (ua,va) + (diffu,diffv) |
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53 | !! 'key_trddyn' activated: the two components of the horizontal |
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54 | !! diffusion trend are saved. |
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55 | !! |
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56 | !! ** Action : - Update (ua,va) with the before iso-level harmonic |
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57 | !! mixing trend. |
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58 | !! - Save in (utrd,vtrd) arrays the trends ('key_diatrends') |
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59 | !! |
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60 | !! History : |
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61 | !! ! 90-09 (G. Madec) Original code |
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62 | !! ! 91-11 (G. Madec) |
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63 | !! ! 96-01 (G. Madec) statement function for e3 and ahm |
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64 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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65 | !!---------------------------------------------------------------------- |
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66 | !! * Arguments |
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67 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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68 | |
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69 | !! * Local declarations |
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70 | INTEGER :: ji, jj, jk ! dummy loop indices |
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71 | REAL(wp) :: & |
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72 | zua, zva, ze2u, ze1v ! temporary scalars |
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73 | !!---------------------------------------------------------------------- |
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74 | |
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75 | IF( kt == nit000 ) THEN |
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76 | IF(lwp) WRITE(numout,*) |
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77 | IF(lwp) WRITE(numout,*) 'dyn_ldf : iso-level harmonic (laplacien) operator' |
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78 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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79 | ENDIF |
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80 | |
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81 | ! ! =============== |
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82 | DO jk = 1, jpkm1 ! Horizontal slab |
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83 | ! ! =============== |
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84 | DO jj = 2, jpjm1 |
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85 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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86 | #if defined key_s_coord || defined key_partial_steps |
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87 | ze2u = rotb (ji,jj,jk)*fsahmf(ji,jj,jk)*fse3f(ji,jj,jk) |
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88 | ze1v = hdivb(ji,jj,jk)*fsahmt(ji,jj,jk) |
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89 | ! horizontal diffusive trends |
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90 | zua = - ( ze2u - rotb (ji,jj-1,jk)*fsahmf(ji,jj-1,jk)*fse3f(ji,jj-1,jk) ) / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) & |
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91 | + ( hdivb(ji+1,jj,jk)*fsahmt(ji+1,jj,jk) - ze1v ) / e1u(ji,jj) |
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92 | |
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93 | zva = + ( ze2u - rotb (ji-1,jj,jk)*fsahmf(ji-1,jj,jk)*fse3f(ji-1,jj,jk) ) / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) & |
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94 | + ( hdivb(ji,jj+1,jk)*fsahmt(ji,jj+1,jk) - ze1v ) / e2v(ji,jj) |
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95 | #else |
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96 | ! horizontal diffusive trends |
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97 | ze2u = rotb (ji,jj,jk)*fsahmf(ji,jj,jk) |
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98 | ze1v = hdivb(ji,jj,jk)*fsahmt(ji,jj,jk) |
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99 | zua = - ( ze2u - rotb (ji,jj-1,jk)*fsahmf(ji,jj-1,jk) ) / e2u(ji,jj) & |
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100 | + ( hdivb(ji+1,jj,jk)*fsahmt(ji+1,jj,jk) - ze1v ) / e1u(ji,jj) |
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101 | |
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102 | zva = + ( ze2u - rotb (ji-1,jj,jk)*fsahmf(ji-1,jj,jk) ) / e1v(ji,jj) & |
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103 | + ( hdivb(ji,jj+1,jk)*fsahmt(ji,jj+1,jk) - ze1v ) / e2v(ji,jj) |
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104 | #endif |
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105 | |
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106 | ! add it to the general momentum trends |
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107 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
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108 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
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109 | #if defined key_trddyn |
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110 | ! save the horizontal diffusive trends |
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111 | utrd(ji,jj,jk,5) = zua |
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112 | vtrd(ji,jj,jk,5) = zva |
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113 | #endif |
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114 | END DO |
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115 | END DO |
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116 | ! ! =============== |
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117 | END DO ! End of slab |
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118 | ! ! =============== |
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119 | |
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120 | IF(l_ctl) THEN ! print sum trends (used for debugging) |
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121 | zua = SUM( ua(2:nictl,2:njctl,1:jpkm1) * umask(2:nictl,2:njctl,1:jpkm1) ) |
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122 | zva = SUM( va(2:nictl,2:njctl,1:jpkm1) * vmask(2:nictl,2:njctl,1:jpkm1) ) |
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123 | WRITE(numout,*) ' ldf - Ua: ', zua-u_ctl, ' Va: ', zva-v_ctl |
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124 | u_ctl = zua ; v_ctl = zva |
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125 | ENDIF |
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126 | |
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127 | END SUBROUTINE dyn_ldf_lap |
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128 | |
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129 | !!====================================================================== |
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130 | END MODULE dynldf_lap |
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