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 | !! History : OPA ! 1990-09 (G. Madec) Original code |
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7 | !! 4.0 ! 1991-11 (G. Madec) |
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8 | !! 6.0 ! 1996-01 (G. Madec) statement function for e3 and ahm |
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9 | !! NEMO 1.0 ! 2002-06 (G. Madec) F90: Free form and module |
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10 | !! - ! 2004-08 (C. Talandier) New trends organization |
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11 | !!---------------------------------------------------------------------- |
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12 | |
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13 | !!---------------------------------------------------------------------- |
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14 | !! dyn_ldf_lap : update the momentum trend with the lateral diffusion |
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15 | !! using an iso-level harmonic operator |
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16 | !!---------------------------------------------------------------------- |
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17 | USE oce ! ocean dynamics and tracers |
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18 | USE dom_oce ! ocean space and time domain |
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19 | USE phycst ! physical constants |
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20 | USE ldfdyn_oce ! ocean dynamics: lateral physics |
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21 | USE zdf_oce ! ocean vertical physics |
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22 | ! |
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23 | USE in_out_manager ! I/O manager |
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24 | USE iom ! I/O library |
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25 | USE timing ! Timing |
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26 | |
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27 | IMPLICIT NONE |
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28 | PRIVATE |
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29 | |
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30 | PUBLIC dyn_ldf_lap ! called by step.F90 |
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31 | |
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32 | !! * Substitutions |
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33 | # include "domzgr_substitute.h90" |
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34 | # include "ldfdyn_substitute.h90" |
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35 | # include "vectopt_loop_substitute.h90" |
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36 | !!---------------------------------------------------------------------- |
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37 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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38 | !! $Id$ |
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39 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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40 | !!---------------------------------------------------------------------- |
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41 | CONTAINS |
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42 | |
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43 | SUBROUTINE dyn_ldf_lap( kt ) |
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44 | !!---------------------------------------------------------------------- |
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45 | !! *** ROUTINE dyn_ldf_lap *** |
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46 | !! |
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47 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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48 | !! trend and add it to the general trend of tracer equation. |
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49 | !! |
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50 | !! ** Method : The before horizontal momentum diffusion trend is an |
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51 | !! harmonic operator (laplacian type) which separates the divergent |
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52 | !! and rotational parts of the flow. |
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53 | !! Its horizontal components are computed as follow: |
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54 | !! difu = 1/e1u di[ahmt hdivb] - 1/(e2u*e3u) dj-1[e3f ahmf rotb] |
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55 | !! difv = 1/e2v dj[ahmt hdivb] + 1/(e1v*e3v) di-1[e3f ahmf rotb] |
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56 | !! in the rotational part of the diffusion. |
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57 | !! Add this before trend to the general trend (ua,va): |
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58 | !! (ua,va) = (ua,va) + (diffu,diffv) |
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59 | !! |
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60 | !! ** Action : - Update (ua,va) with the iso-level harmonic mixing trend |
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61 | !!---------------------------------------------------------------------- |
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62 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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63 | ! |
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64 | INTEGER :: ji, jj, jk ! dummy loop indices |
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65 | REAL(wp) :: zua, zva, ze2u, ze1v ! local scalars |
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66 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: z2d ! 2D workspace |
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67 | !!---------------------------------------------------------------------- |
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68 | ! |
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69 | IF( nn_timing == 1 ) CALL timing_start('dyn_ldf_lap') |
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70 | ! |
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71 | IF( kt == nit000 ) THEN |
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72 | IF(lwp) WRITE(numout,*) |
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73 | IF(lwp) WRITE(numout,*) 'dyn_ldf : iso-level harmonic (laplacian) operator' |
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74 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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75 | ENDIF |
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76 | ! ! =============== |
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77 | DO jk = 1, jpkm1 ! Horizontal slab |
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78 | ! ! =============== |
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79 | DO jj = 2, jpjm1 |
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80 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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81 | ze2u = rotb (ji,jj,jk) * fsahmf(ji,jj,jk) * fse3f(ji,jj,jk) |
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82 | ze1v = hdivb(ji,jj,jk) * fsahmt(ji,jj,jk) |
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83 | ! horizontal diffusive trends |
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84 | 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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85 | + ( hdivb(ji+1,jj,jk)*fsahmt(ji+1,jj,jk) - ze1v ) / e1u(ji,jj) |
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86 | |
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87 | 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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88 | + ( hdivb(ji,jj+1,jk)*fsahmt(ji,jj+1,jk) - ze1v ) / e2v(ji,jj) |
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89 | |
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90 | ! add it to the general momentum trends |
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91 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
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92 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
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93 | END DO |
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94 | END DO |
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95 | ! ! =============== |
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96 | END DO ! End of slab |
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97 | ! ! =============== |
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98 | |
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99 | IF( iom_use('dispkexyfo') ) THEN ! ocean Kinetic Energy dissipation per unit area |
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100 | ! ! due to lateral friction (xy=lateral) |
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101 | ! see NEMO_book appendix C, §C.7.2 (N.B. here averaged at t-points) |
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102 | ! local dissipation of KE at t-point due to laplacian operator is given by : |
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103 | ! - ahmt hdivb**2 - mi( mj(ahmf rotb**2 e1f*e2f*e3t) ) / (e1e2t*e3t) |
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104 | ! |
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105 | ALLOCATE( z2d(jpi,jpj) ) |
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106 | z2d(:,:) = 0._wp |
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107 | DO jk = 1, jpkm1 |
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108 | DO jj = 2, jpjm1 |
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109 | DO ji = 2, jpim1 |
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110 | z2d(ji,jj) = z2d(ji,jj) - ( & |
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111 | & hdivb(ji,jj,jk)**2 * fsahmt(ji,jj,jk) * fse3t_n(ji,jj,jk) & |
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112 | & + 0.25_wp * ( & |
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113 | & rotb (ji ,jj ,jk)**2 * fsahmf(ji ,jj ,jk) * e12f(ji ,jj ) * fse3f(ji ,jj ,jk) & |
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114 | & + rotb (ji-1,jj ,jk)**2 * fsahmf(ji-1,jj ,jk) * e12f(ji-1,jj ) * fse3f(ji-1,jj ,jk) & |
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115 | & + rotb (ji ,jj-1,jk)**2 * fsahmf(ji ,jj-1,jk) * e12f(ji ,jj-1) * fse3f(ji ,jj-1,jk) & |
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116 | & + rotb (ji-1,jj-1,jk)**2 * fsahmf(ji-1,jj-1,jk) * e12f(ji-1,jj-1) * fse3f(ji-1,jj-1,jk) & |
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117 | & ) * r1_e12t(ji,jj) ) * tmask(ji,jj,jk) |
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118 | END DO |
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119 | END DO |
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120 | END DO |
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121 | z2d(:,:) = rau0 * z2d(:,:) |
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122 | CALL lbc_lnk( z2d,'T', 1. ) |
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123 | CALL iom_put( 'dispkexyfo', z2d ) |
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124 | DEALLOCATE( z2d ) |
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125 | ENDIF |
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126 | |
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127 | IF( nn_timing == 1 ) CALL timing_stop('dyn_ldf_lap') |
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128 | ! |
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129 | END SUBROUTINE dyn_ldf_lap |
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130 | |
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131 | !!====================================================================== |
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132 | END MODULE dynldf_lap |
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