[333] | 1 | !> \file dragging_coulomb_friction_mod.f90 |
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| 2 | !! Coulomb friction for a given value of the non-linearity |
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| 3 | !< |
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| 4 | |
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| 5 | !> \namespace dragging_coulomb_friction |
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| 6 | !! Coulomb friction as defined in Pattyn,TC,2017 and reference therein |
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| 7 | !! \author Aurelien Quiquet |
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| 8 | !! \date 28/01/2021 |
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| 9 | !! @note Non-linearity is provided in the param file. |
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| 10 | !! @note * m should vary from 1 to infinity |
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| 11 | !! @note * m=1 (q=1) -> linear friction as in Quiquet et al. (2018) |
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| 12 | !! @note * m=infinity (q=0) -> -1 in param_list |
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| 13 | !! @note * m=3 (q=1/3) is a classic (Weertman, 1974; Schoof, 2007) |
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| 14 | !! @note Used module |
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| 15 | !! @note - use module3D_phy |
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| 16 | !! @note - use param_phy_mod |
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| 17 | !! @note - use fake_beta_iter_vitbil_mod |
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| 18 | !< |
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| 19 | |
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| 20 | module dragging_coulomb_friction |
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| 21 | |
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| 22 | !______________________________________________________________________________ |
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| 23 | ! |
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| 24 | ! I took the formulation of Pattyn in his The Cryos. 2017 paper. It looks like: |
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| 25 | ! |
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| 26 | ! taub = [ tauc / ( |ub|^(1-q) uO^q) ] ub |
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| 27 | ! |
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| 28 | ! with: -tauc is our cf x N (expressed differently in Pattyn). |
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| 29 | ! u0=100 m/yr |
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| 30 | ! |
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| 31 | ! What is inside [] is what we used as -Beta in Quiquet et al. (2018). |
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| 32 | ! |
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| 33 | ! For q=1, we get back our standard formulation (except that cf'=cf/100) |
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| 34 | ! |
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| 35 | ! In the param_list we will give: |
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| 36 | ! - cf as before |
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| 37 | ! - m=1/q (if m=-1 is provided -> q=0) |
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| 38 | ! - number of iterations (as it is non-linear) |
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| 39 | ! - betamin and betamax |
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[334] | 40 | ! |
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| 41 | ! I also add the possibility to tune locally the cf coefficient to account for |
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| 42 | ! the presence of sediments (could also be Bsoc_relax<0 for Antarctica) |
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[333] | 43 | !______________________________________________________________________________ |
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| 44 | |
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| 45 | |
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| 46 | use module3d_phy, only: nx,ny |
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| 47 | use fake_beta_iter_vitbil_mod |
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| 48 | |
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| 49 | implicit none |
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| 50 | |
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| 51 | real :: betamin ! betamin : (Pa) frottement mini sous les streams |
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| 52 | |
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| 53 | real :: cf ! A friction coefficient |
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| 54 | real :: m_nolin ! Schoof non-linear exponent |
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| 55 | real :: q_nolin ! q=1/m |
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| 56 | |
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[334] | 57 | real, dimension(nx,ny) :: coef_sedim_mx, coef_sedim_my ! in case we use sediments |
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| 58 | |
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[333] | 59 | real, dimension(nx,ny) :: Vcol_x !< uniquement pour compatibilite avec spinup cat |
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| 60 | real, dimension(nx,ny) :: Vcol_y !< uniquement pour compatibilite avec spinup cat |
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| 61 | real, dimension(nx,ny) :: Vsl_x !< uniquement pour compatibilite avec spinup cat |
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| 62 | real, dimension(nx,ny) :: Vsl_y !< uniquement pour compatibilite avec spinup cat |
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| 63 | logical :: corr_def = .false. !< for deformation correction, pour compatibilite beta |
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| 64 | |
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| 65 | contains |
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| 66 | !------------------------------------------------------------------------------- |
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| 67 | |
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| 68 | !> SUBROUTINE: init_dragging |
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| 69 | !! Cette routine fait l'initialisation du dragging. |
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| 70 | !> |
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| 71 | subroutine init_dragging ! Cette routine fait l'initialisation du dragging. |
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| 72 | |
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| 73 | use module3d_phy, only: niter_nolin,betamax,betamax_2d,inv_beta,mstream_mx,mstream_my,drag_mx,drag_my,num_rep_42 |
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| 74 | use runparam, only: itracebug |
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| 75 | |
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[334] | 76 | use interface_input !for sediments |
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| 77 | use io_netcdf_grisli !for sediments |
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| 78 | |
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[333] | 79 | implicit none |
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| 80 | |
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[334] | 81 | logical :: bool_sedim ! sediments: yes or no |
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| 82 | real :: seuil_sedim ! sediment thickness threshold for drag reduction |
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| 83 | real :: coef_sedim ! drag reduction factor |
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| 84 | real,dimension(nx,ny) :: h_sedim ! sediment thickness (or rebounded bedrock) |
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| 85 | real,dimension(nx,ny) :: h_sedimmx,h_sedimmy ! temporary arrays |
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| 86 | character(len=150) :: file_sedim ! file for sediment thickness for HN or rebounded bsoc for Antar |
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| 87 | character(len=150) :: file_ncdf ! fichier netcdf issue des fichiers .dat |
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| 88 | integer i,j |
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[333] | 89 | |
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[334] | 90 | namelist/drag_coulomb_friction/cf,m_nolin,niter_nolin,betamax,betamin,bool_sedim,file_sedim,seuil_sedim,coef_sedim |
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| 91 | |
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[333] | 92 | if (itracebug.eq.1) call tracebug(' dragging avec neff et slope') |
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| 93 | |
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| 94 | |
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| 95 | ! formats pour les ecritures dans 42 |
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| 96 | 428 format(A) |
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| 97 | |
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| 98 | ! lecture des parametres du run block drag neff |
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| 99 | !-------------------------------------------------------------------- |
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| 100 | |
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| 101 | rewind(num_param) ! pour revenir au debut du fichier param_list.dat |
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| 102 | read(num_param,drag_coulomb_friction) |
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| 103 | |
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| 104 | write(num_rep_42,428)'!___________________________________________________________' |
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| 105 | write(num_rep_42,428) '&drag_coulomb_friction ! nom du bloc dragging coulomb friction' |
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| 106 | write(num_rep_42,*) |
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| 107 | write(num_rep_42,*) 'cf = ', cf |
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| 108 | write(num_rep_42,*) 'm_nolin = ', m_nolin |
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| 109 | write(num_rep_42,*) 'niter_nolin = ', niter_nolin |
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| 110 | write(num_rep_42,*) 'betamax = ', betamax |
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| 111 | write(num_rep_42,*) 'betamin = ', betamin |
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[334] | 112 | write(num_rep_42,*) 'bool_sedim = ', bool_sedim |
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| 113 | write(num_rep_42,'(A,A,A)') 'file_sedim = "',trim(file_sedim),'"' |
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| 114 | write(num_rep_42,*) 'seuil_sedim = ', seuil_sedim |
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| 115 | write(num_rep_42,*) 'coef_sedim = ', coef_sedim |
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[333] | 116 | write(num_rep_42,*)'/' |
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| 117 | write(num_rep_42,428) '! cf: a friction coefficient (to be tuned)' |
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| 118 | write(num_rep_42,428) '! m_nolin: non-linear exponent, from 1 to infinity (put -1 for infinity)' |
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| 119 | write(num_rep_42,428) '! m_nolin=1/q in Pattyn TC 2017, q in [0:1]' |
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| 120 | write(num_rep_42,428) '! niter_nolin: number of iterations to solve the non-linearity (expensive!)' |
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[334] | 121 | write(num_rep_42,428) '! Possibility to add sediment tuning of cf, if false, the file is not read' |
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| 122 | write(num_rep_42,428) '! If sediments: where h_sedim > seuil_sedim, beta*coef_sedim' |
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[333] | 123 | |
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| 124 | inv_beta=0 |
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| 125 | !------------------------------------------------------------------- |
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| 126 | ! masque stream |
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| 127 | mstream_mx(:,:)=1 |
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| 128 | mstream_my(:,:)=1 |
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| 129 | |
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| 130 | |
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| 131 | ! coefficient permettant de modifier le basal drag. |
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| 132 | drag_mx(:,:)=1. |
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| 133 | drag_my(:,:)=1. |
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| 134 | |
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| 135 | betamax_2d(:,:) = betamax |
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| 136 | |
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| 137 | if (m_nolin.lt.0) then |
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| 138 | q_nolin = 0 |
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| 139 | else |
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| 140 | q_nolin = 1 / m_nolin |
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| 141 | endif |
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| 142 | |
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[334] | 143 | if (bool_sedim) then |
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| 144 | |
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| 145 | file_sedim=trim(dirnameinp)//trim(file_sedim) |
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| 146 | call lect_input(1,'h_sedim',1,h_sedim(:,:),file_sedim,file_ncdf) |
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| 147 | |
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| 148 | h_sedimmx(1,:)=h_sedim(1,:) |
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| 149 | h_sedimmy(:,1)=h_sedim(:,1) |
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| 150 | do i=2,nx |
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| 151 | h_sedimmx(i,:)=(h_sedim(i-1,:)+h_sedim(i,:))/2. |
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| 152 | enddo |
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| 153 | do j=2,ny |
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| 154 | h_sedimmy(:,j)=(h_sedim(:,j-1)+h_sedim(:,j))/2. |
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| 155 | enddo |
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| 156 | |
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| 157 | where (h_sedimmx(:,:).gt.seuil_sedim) |
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| 158 | coef_sedim_mx(:,:) = coef_sedim |
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| 159 | elsewhere |
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| 160 | coef_sedim_mx(:,:) = 1. |
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| 161 | endwhere |
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| 162 | where (h_sedimmy(:,:).gt.seuil_sedim) |
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| 163 | coef_sedim_my(:,:) = coef_sedim |
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| 164 | elsewhere |
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| 165 | coef_sedim_my(:,:) = 1. |
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| 166 | endwhere |
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| 167 | |
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| 168 | else |
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| 169 | |
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| 170 | coef_sedim_mx(:,:) = 1. |
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| 171 | coef_sedim_my(:,:) = 1. |
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| 172 | |
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| 173 | endif |
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| 174 | |
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[333] | 175 | return |
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| 176 | end subroutine init_dragging |
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| 177 | !________________________________________________________________________________ |
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| 178 | |
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| 179 | !> SUBROUTINE: dragging |
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| 180 | !! Calcul le frottement basal |
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| 181 | !> |
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| 182 | !------------------------------------------------------------------------- |
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| 183 | subroutine dragging ! defini la localisation des streams et le frottement basal |
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| 184 | !$ USE OMP_LIB |
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| 185 | |
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| 186 | use module3d_phy, only: nx,ny,betamax,beta_centre,betamx,betamy,neffmx,neffmy,hwater,flot,ux,uy |
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| 187 | |
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| 188 | implicit none |
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| 189 | |
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| 190 | real,dimension(nx,ny) :: tauc_mx ! Yield stress, x direction |
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| 191 | real,dimension(nx,ny) :: tauc_my ! Yield stress, y direction |
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| 192 | |
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| 193 | real,dimension(nx,ny) :: neff ! pression effective noeuds majeurs |
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| 194 | real,dimension(nx,ny) :: hwatmx ! hauteur d'eau staggered grille - afq |
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| 195 | real,dimension(nx,ny) :: hwatmy ! hauteur d'eau staggered grille - afq |
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| 196 | |
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| 197 | real,parameter :: u0 = 100d0 ! threshold sliding speed |
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| 198 | |
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| 199 | !$OMP PARALLEL |
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| 200 | |
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| 201 | ! calcul de neff (pression effective sur noeuds majeurs) |
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| 202 | if (sum(neffmx(:,:)).le.0.) neffmx(:,:) =1.e8 |
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| 203 | if (sum(neffmy(:,:)).le.0.) neffmy(:,:) =1.e8 |
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| 204 | |
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| 205 | !$OMP DO |
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| 206 | do j=1,ny-1 |
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| 207 | do i=1,nx-1 |
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| 208 | neff(i,j)=(neffmx(i,j)+neffmx(i+1,j)+neffmy(i,j)+neffmy(i,j+1))/4 |
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| 209 | enddo |
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| 210 | enddo |
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| 211 | !$OMP END DO |
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| 212 | !aurel, for the borders: |
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| 213 | !$OMP WORKSHARE |
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| 214 | neff(:,ny)=1.e5 |
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| 215 | neff(nx,:)=1.e5 |
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| 216 | ! calcul de hwat (staggered) |
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| 217 | hwatmx(:,:)=0. |
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| 218 | hwatmy(:,:)=0. |
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| 219 | !$OMP END WORKSHARE |
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| 220 | !$OMP DO |
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| 221 | do i=2,nx |
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| 222 | hwatmx(i,:)=(hwater(i-1,:)+hwater(i,:))/2. |
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| 223 | enddo |
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| 224 | !$OMP END DO |
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| 225 | !$OMP DO |
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| 226 | do j=2,ny |
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| 227 | hwatmy(:,j)=(hwater(:,j-1)+hwater(:,j))/2. |
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| 228 | enddo |
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| 229 | !$OMP END DO |
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| 230 | |
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| 231 | !_____________________________ |
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| 232 | ! Coulomb friction computation: |
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| 233 | |
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| 234 | !$OMP WORKSHARE |
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| 235 | |
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[334] | 236 | tauc_mx(:,:)= cf*neffmx(:,:)*coef_sedim_mx(:,:) |
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| 237 | tauc_my(:,:)= cf*neffmy(:,:)*coef_sedim_my(:,:) |
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[333] | 238 | |
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[348] | 239 | ! ux/uy(:,:,nz) should be used but only uxbar/uybar are updated by diagno_L2 |
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| 240 | ! anyway: ux/uy(:,:,nz) are uxbar/uybar (as it should be???) |
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| 241 | where (abs(uxbar(:,:)).gt.1) |
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| 242 | betamx(:,:) = tauc_mx(:,:) * ( abs(uxbar(:,:))**(q_nolin-1.) ) / ( u0 ** q_nolin ) |
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[333] | 243 | elsewhere |
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| 244 | betamx(:,:) = tauc_mx(:,:) / ( u0 ** q_nolin ) |
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| 245 | endwhere |
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[348] | 246 | where (abs(uybar(:,:)).gt.1) |
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| 247 | betamy(:,:) = tauc_my(:,:) * ( abs(uybar(:,:))**(q_nolin-1.) ) / ( u0 ** q_nolin ) |
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[333] | 248 | elsewhere |
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| 249 | betamy(:,:) = tauc_my(:,:) / ( u0 ** q_nolin ) |
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| 250 | endwhere |
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| 251 | |
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| 252 | betamx(:,:)=max(betamx(:,:),betamin) |
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| 253 | betamy(:,:)=max(betamy(:,:),betamin) |
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| 254 | betamx(:,:)=min(betamx(:,:),betamax) |
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| 255 | betamy(:,:)=min(betamy(:,:),betamax) |
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| 256 | |
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| 257 | where ( hwatmx(:,:) .lt. 0.5 ) betamx(:,:) = betamax |
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| 258 | where ( hwatmy(:,:) .lt. 0.5 ) betamy(:,:) = betamax |
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| 259 | |
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| 260 | !$OMP END WORKSHARE |
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| 261 | |
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| 262 | |
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| 263 | ! calcul de gzmx |
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| 264 | |
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| 265 | ! points flottants |
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| 266 | !$OMP DO |
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| 267 | do j=2,ny |
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| 268 | do i=2,nx |
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| 269 | if (flot(i,j).and.(flot(i-1,j))) then |
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| 270 | betamx(i,j)=0. |
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| 271 | end if |
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| 272 | if (flot(i,j).and.(flot(i,j-1))) then |
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| 273 | betamy(i,j)=0. |
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| 274 | end if |
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| 275 | end do |
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| 276 | end do |
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| 277 | !$OMP END DO |
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| 278 | |
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| 279 | !$OMP DO |
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| 280 | do j=2,ny-1 |
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| 281 | do i=2,nx-1 |
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| 282 | beta_centre(i,j) = ((betamx(i,j)+betamx(i+1,j)) & |
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| 283 | + (betamy(i,j)+betamy(i,j+1)))*0.25 |
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| 284 | end do |
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| 285 | end do |
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| 286 | !$OMP END DO |
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| 287 | !$OMP END PARALLEL |
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| 288 | |
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| 289 | return |
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| 290 | end subroutine dragging |
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| 291 | |
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| 292 | |
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| 293 | |
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| 294 | subroutine mstream_dragging ! defini la localisation des streams |
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| 295 | |
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| 296 | |
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| 297 | use module3d_phy, only: nx,ny,betamax,betamx,betamy,fleuvemx,fleuvemy,gzmx,gzmy,flgzmx,flgzmy,flot,flotmx,flotmy |
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| 298 | |
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| 299 | implicit none |
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| 300 | |
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| 301 | !$OMP PARALLEL |
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| 302 | |
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| 303 | !$OMP WORKSHARE |
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| 304 | fleuvemx(:,:)=.false. |
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| 305 | fleuvemy(:,:)=.false. |
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| 306 | gzmx(:,:)=.true. |
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| 307 | gzmy(:,:)=.true. |
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| 308 | flgzmx(:,:)=.false. |
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| 309 | flgzmy(:,:)=.false. |
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| 310 | !$OMP END WORKSHARE |
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| 311 | |
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| 312 | |
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| 313 | ! calcul de gzmx |
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| 314 | |
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| 315 | ! points flottants : flgzmx mais pas gzmx |
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| 316 | !$OMP DO |
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| 317 | do j=2,ny |
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| 318 | do i=2,nx |
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| 319 | if (flot(i,j).and.(flot(i-1,j))) then |
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| 320 | flotmx(i,j)=.true. |
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| 321 | flgzmx(i,j)=.true. |
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| 322 | gzmx(i,j)=.false. |
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| 323 | betamx(i,j)=0. |
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| 324 | end if |
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| 325 | if (flot(i,j).and.(flot(i,j-1))) then |
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| 326 | flotmy(i,j)=.true. |
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| 327 | flgzmy(i,j)=.true. |
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| 328 | gzmy(i,j)=.false. |
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| 329 | betamy(i,j)=0. |
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| 330 | end if |
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| 331 | end do |
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| 332 | end do |
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| 333 | !$OMP END DO |
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| 334 | |
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| 335 | !--------- autres criteres |
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| 336 | |
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| 337 | ! points poses |
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| 338 | !$OMP WORKSHARE |
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| 339 | gzmx(:,:)=gzmx(:,:).and.(betamx(:,:).lt.betamax) ! Pas de calcul pour les points |
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| 340 | gzmy(:,:)=gzmy(:,:).and.(betamy(:,:).lt.betamax) ! au fort beta |
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| 341 | |
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| 342 | flgzmx(:,:) = flgzmx(:,:) .or. gzmx(:,:) |
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| 343 | flgzmy(:,:) = flgzmy(:,:) .or. gzmy(:,:) |
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| 344 | |
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| 345 | fleuvemx(:,:)=gzmx(:,:) |
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| 346 | fleuvemy(:,:)=gzmy(:,:) |
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| 347 | !$OMP END WORKSHARE |
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| 348 | |
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| 349 | !$OMP END PARALLEL |
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| 350 | |
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| 351 | return |
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| 352 | end subroutine mstream_dragging |
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| 353 | |
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| 354 | |
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| 355 | |
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| 356 | |
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| 357 | |
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| 358 | |
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| 359 | end module dragging_coulomb_friction |
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| 360 | |
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