1 | !> \file slope_surf.f90 |
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2 | !! File to compute the surface slope by finite difference |
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3 | !< |
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4 | |
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5 | !> SUBROUTINE: slope_surf |
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6 | !! Compute the surface slope by finite difference |
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7 | !! \author Catritz |
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8 | !! \date ... |
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9 | !! @note Used module |
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10 | !! @note - use module3D_phy |
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11 | !< |
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12 | |
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13 | subroutine slope_surf |
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14 | |
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15 | use module3D_phy |
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16 | implicit none |
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17 | |
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18 | real :: inv_4dx ! inverse de dx pour eviter les divisions =1/(4*dx) |
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19 | inv_4dx = 1./(4.*dx) |
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20 | |
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21 | |
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22 | |
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23 | do j=1,ny ! slope along x on node > |
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24 | do i=2,nx |
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25 | sdx(i,j)=(s(i,j)-s(i-1,j))/dx |
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26 | end do |
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27 | end do |
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28 | |
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29 | do j=2,ny ! slope along y on node ^ |
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30 | do i=1,nx |
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31 | sdy(i,j)=(s(i,j)-s(i,j-1))/dy |
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32 | end do |
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33 | end do |
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34 | |
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35 | do j=2,ny-1 ! slope amplitude on node o |
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36 | do i=2,nx-1 |
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37 | slope(i,j)=(s(i+1,j)-s(i-1,j))**2 + (s(i,j+1)-s(i,j-1))**2 |
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38 | slope(i,j)=slope(i,j)**0.5 / dx /2. |
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39 | end do |
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40 | end do |
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41 | |
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42 | |
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43 | do j=2,ny ! slope along x on node ^ (average) |
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44 | do i=2,nx-1 |
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45 | sdxmy(i,j)= ((s(i+1,j)-s(i-1,j))+s(i+1,j-1)-s(i-1,j-1))*inv_4dx |
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46 | end do |
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47 | end do |
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48 | |
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49 | do j=2,ny-1 ! slope along y on node > (average) |
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50 | do i=2,nx |
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51 | sdymx(i,j)= ((s(i,j+1)-s(i,j-1))+s(i-1,j+1)-s(i-1,j-1))*inv_4dx |
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52 | enddo |
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53 | enddo |
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54 | |
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55 | slope2mx(:,:)=sdx(:,:)**2+sdymx(:,:)**2 ! slope amplitude on node > |
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56 | slope2my(:,:)=sdy(:,:)**2+sdxmy(:,:)**2 ! slope amplitude on node ^ |
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57 | |
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58 | ! conditions on the grid boundaries |
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59 | |
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60 | slope(1,:) = 0. |
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61 | slope(:,1) = 0. |
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62 | slope(nx,:) = 0. |
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63 | slope(:,ny) = 0. |
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64 | |
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65 | slope2mx(1,:) = 0. |
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66 | slope2mx(:,1) = 0. |
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67 | slope2mx(:,ny) = 0. |
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68 | |
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69 | slope2my(1,:) = 0. |
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70 | slope2my(:,1) = 0. |
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71 | slope2my(nx,:) = 0. |
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72 | |
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73 | |
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74 | ! limitation to 2e-2 |
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75 | sdx(:,:)=max(sdx(:,:),-2.e-2) |
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76 | sdx(:,:)=min(sdx(:,:),2.e-2) |
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77 | sdxmy(:,:)=max(sdxmy(:,:),-2.e-2) |
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78 | sdxmy(:,:)=min(sdxmy(:,:),2.e-2) |
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79 | slope2mx(:,:)=min(slope2mx(:,:),4.e-4) |
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80 | |
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81 | sdy(:,:)=max(sdy(:,:),-2.e-2) |
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82 | sdy(:,:)=min(sdy(:,:),2.e-2) |
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83 | sdymx(:,:)=max(sdymx(:,:),-2.e-2) |
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84 | sdymx(:,:)=min(sdymx(:,:),2.e-2) |
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85 | slope2my(:,:)=min(slope2my(:,:),4.e-4) |
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86 | |
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87 | slope(:,:)=min(slope(:,:),2.e-2) |
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88 | |
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89 | |
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90 | debug_3D(:,:,21)=sdx(:,:) |
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91 | debug_3D(:,:,22)=sdy(:,:) |
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92 | end subroutine slope_surf |
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