[4] | 1 | subroutine energetics(u,v,w,pd,uc,vc,wc,wnx,wny,wnz, |
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| 2 | * U0,Lx,Ly,Lz,f,g,rho_0,DGRAD,Re,kappa,nu, |
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| 3 | * nx,ny,nz,num_dims,bc_flag,force_flag,time, |
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| 4 | * comm,myid,numprocs,locnx,locnz,ambient_density) |
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| 5 | |
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| 6 | c Modified for parallel execution under MPI, KW, 8/24/00 |
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| 7 | c N.B. All processors recieve the global summation results |
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| 8 | c when done using MPI_ALL_REDUCE. |
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| 9 | c |
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| 10 | c Routine to compute and output physical space, volume averaged |
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| 11 | c energetics diagnostics. Input fields are dimensionless, outputs |
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| 12 | c are in dimensional units. Transforms of u,v and w are stored |
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| 13 | c in uc, vc and wc respectively. |
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| 14 | c |
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| 15 | implicit none |
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| 16 | #include "mpif.h" |
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| 17 | integer comm,myid,numprocs,locnx,locnz,ierr,ktop |
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| 18 | integer i,j,k,nx,ny,nz,num_dims,nyplanes,nzplanes |
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| 19 | real Lx,Ly,Lz,U0,f,g,rho_0,DGRAD,Re,x,y,z,density_scale |
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| 20 | real dx,dy,dz,dA,dV,Vol,time,kappa,nu,fac,N2 |
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| 21 | real rho_bar,ddz,junk |
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| 22 | character*80 bc_flag |
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| 23 | character*3 force_flag |
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| 24 | c Physical space storage locations |
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| 25 | real u(nx+2,ny+1,locnz+1),v(nx+2,ny+1,locnz+1) |
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| 26 | real w(nx+2,ny+1,locnz+1),pd(nx+2,ny+1,locnz+1) |
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| 27 | real ambient_density(nx+2,ny+1,locnz+1) |
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| 28 | c Wavenumber space storage locations |
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| 29 | complex uc(locnx,ny+1,nz+1),vc(locnx,ny+1,nz+1),wc(locnx,ny+1,nz+1) |
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| 30 | real wnx(locnx),wny(ny+1),wnz(nz+1) |
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| 31 | real*8 ke,pe,bf,rho,kappa2,diss,Ep_surf_adv,Ep_surf_dif,rho_top |
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| 32 | real*8 rho_bottom,zgrad,phi_i,phi_a,global_val,xmag,xnorm |
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| 33 | real*8 ke_forced,pe_forced |
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| 34 | real F1,F2,F3,F4,F5 |
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| 35 | |
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| 36 | real s1_scale |
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| 37 | s1_scale=1.0 |
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| 38 | |
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| 39 | c THIS NEEDS TO BE UPDATED FROM PD TO T/S LOGIC FOR DENSITY |
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| 40 | |
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| 41 | c |
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| 42 | c preliminaries: |
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| 43 | c |
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| 44 | |
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| 45 | dx = Lx/float(nx) ! [m] |
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| 46 | dz = Lz/float(nz) ! [m] |
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| 47 | ke = 0.d0 |
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| 48 | pe = 0.d0 |
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| 49 | ke_forced = 0.d0 |
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| 50 | pe_forced = 0.d0 |
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| 51 | bf = 0.d0 |
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| 52 | diss = 0.d0 |
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| 53 | rho_top = 0.d0 |
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| 54 | rho_bottom = 0.d0 |
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| 55 | Ep_surf_dif=0.d0 |
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| 56 | Ep_surf_adv=0.d0 |
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| 57 | zgrad=0.d0 |
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| 58 | density_scale = DGRAD*Lz |
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| 59 | |
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| 60 | if( num_dims .eq. 2 ) then |
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| 61 | nyplanes = 1 |
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| 62 | dy = 1.0 ! [m] work per unit length in infinite y direction |
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| 63 | Vol = Lx*1.*Lz ! [m^3] |
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| 64 | dV = dx*dy*dz ! [m^3] |
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| 65 | elseif( num_dims .eq. 3 ) then |
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| 66 | nyplanes = ny |
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| 67 | dy = Ly/float(ny) ! [m] |
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| 68 | Vol = Lx*Ly*Lz ! [m^3] |
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| 69 | dV = dx*dy*dz ! [m^3] |
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| 70 | endif |
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| 71 | |
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| 72 | |
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| 73 | c N.B. work with dimensionless quantities ONLY within (ijk-xyz) loop |
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| 74 | c horizontally periodic bcs imply <w>_xy=0 --> perturbation |
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| 75 | c density can be used rather than rho_total to compute buoy. flux |
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| 76 | |
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| 77 | if( bc_flag .eq. 'zperiodic' ) then |
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| 78 | |
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| 79 | c volume integrals calculated in physical space, |
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| 80 | c each processor integrates over its assigned data space |
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| 81 | |
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| 82 | c z*pd is not periodic so this form of integration is not quite right for pe |
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| 83 | c at bottom and at "missing" top", the weighting should be 1/2 |
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| 84 | c OK to have fac=1 at bottom since z=0 anyway, need to add the top bit |
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| 85 | c note that pd(top)=pd(1) by periodicity, so add this when k=1, {z}=1 |
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| 86 | |
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| 87 | do k=1,locnz |
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| 88 | z = myid*locnz*dz/Lz + (k-1.)*dz/Lz ! dz is dimensional |
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| 89 | if( k .eq. 1 ) then |
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| 90 | fac=0.5 |
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| 91 | else |
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| 92 | fac=0.0 |
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| 93 | endif |
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| 94 | do j=1,nyplanes |
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| 95 | do i=1,nx |
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| 96 | rho = pd(i,j,k) |
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| 97 | ke = ke + ( u(i,j,k)**2 + v(i,j,k)**2 + w(i,j,k)**2 ) |
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| 98 | pe = pe + rho*z + fac*rho*1.0 ! 1.0 is dless z at top |
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| 99 | bf = bf + pd(i,j,k)*w(i,j,k) |
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| 100 | enddo |
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| 101 | enddo |
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| 102 | enddo |
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| 103 | |
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| 104 | if(force_flag .eq. 'yes' ) then |
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| 105 | do k=1,locnz |
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| 106 | z = myid*locnz*dz/Lz + (k-1.)*dz/Lz ! dz is dimensional |
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| 107 | do j=1,nyplanes |
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| 108 | do i=1,nx |
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| 109 | x=(i-1.)*dx |
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| 110 | y=(j-1.)*dy |
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| 111 | call user_defined_forcing(x,y,z,time,F1,F2,F3,F4,F5,Lx,Ly,Lz,f,g,rho_0) |
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| 112 | ke_forced = ke_forced + ( u(i,j,k)*F1 + v(i,j,k)*F2 + w(i,j,k)*F3 )/(U0**2/Lz) ! make F_i dless |
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| 113 | pe_forced = pe_forced + ( (z/Lz)*F4/(density_scale/(Lz/U0)) ) |
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| 114 | enddo |
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| 115 | enddo |
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| 116 | enddo |
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| 117 | endif |
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| 118 | |
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| 119 | c Do global sums using MPI_ALLREDUCE |
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| 120 | call MPI_ALLREDUCE(ke,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 121 | ke=global_val |
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| 122 | call MPI_ALLREDUCE(pe,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 123 | pe=global_val |
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| 124 | call MPI_ALLREDUCE(bf,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 125 | bf=global_val |
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| 126 | |
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| 127 | if(force_flag .eq. 'yes' ) then |
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| 128 | call MPI_ALLREDUCE(ke_forced,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 129 | ke_forced=global_val |
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| 130 | call MPI_ALLREDUCE(pe_forced,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 131 | pe_forced=global_val |
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| 132 | endif |
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| 133 | |
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| 134 | c |
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| 135 | c surface integrals calculated in physical space |
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| 136 | c |
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| 137 | ! for pd, z=Lz, by periodicity |
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| 138 | do j=1,nyplanes |
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| 139 | do i=1,nx |
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| 140 | if( myid .eq. 0 ) then |
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| 141 | rho_top=rho_top + pd(i,j,1) ! perturbation density at top by periodicity |
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| 142 | rho_bottom=rho_bottom + ( ambient_density(i,j,1) + pd(i,j,1) ) |
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| 143 | Ep_surf_adv=Ep_surf_adv + pd(i,j,1)*w(i,j,1) ! z=0 at bottom, --> accumulate ddz(pd) at top only |
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| 144 | zgrad = zgrad + (pd(i,j,2)-pd(i,j,1))/(dz/Lz) ! =~ ddz (pd) at top by periodicity |
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| 145 | endif |
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| 146 | if( myid .eq. numprocs-1 ) then |
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| 147 | rho_top=rho_top + ambient_density(i,j,locnz+1) ! rho_bar at top |
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| 148 | rho_bottom=rho_bottom + 0.0 |
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| 149 | Ep_surf_adv=Ep_surf_adv + 0.0 |
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| 150 | zgrad = zgrad + (ambient_density(i,j,locnz+1)-ambient_density(i,j,locnz))/(dz/Lz) ! ~ ddz(rho_bar) at top |
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| 151 | endif |
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| 152 | enddo |
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| 153 | enddo |
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| 154 | |
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| 155 | c Do global sums using MPI_ALLREDUCE |
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| 156 | call MPI_ALLREDUCE(rho_top,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 157 | rho_top=global_val |
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| 158 | call MPI_ALLREDUCE(rho_bottom,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 159 | rho_bottom=global_val |
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| 160 | call MPI_ALLREDUCE(Ep_surf_adv,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 161 | Ep_surf_adv=global_val |
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| 162 | |
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| 163 | call MPI_ALLREDUCE(zgrad,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 164 | zgrad=global_val/(nx*nyplanes) |
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| 165 | |
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| 166 | Ep_surf_adv=Ep_surf_adv/(nx*nyplanes) |
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| 167 | Ep_surf_dif=zgrad |
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| 168 | phi_i=(rho_top-rho_bottom)/(nx*nyplanes) |
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| 169 | |
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| 170 | |
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| 171 | |
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| 172 | c volume integrals calculated in spectral space |
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| 173 | c |
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| 174 | xnorm = 1./2. ! normalization for fff transforms |
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| 175 | do i=1,locnx |
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| 176 | if( i .eq. 1 .and. myid .eq. 0 ) then |
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| 177 | fac=xnorm*1.0 ! add zero wavenumber component once |
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| 178 | else |
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| 179 | fac=xnorm*2.0 ! all other modes have complex conjugate pairs |
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| 180 | endif |
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| 181 | do j=1,nyplanes |
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| 182 | do k=1,nz |
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| 183 | kappa2 = wnx(i)**2 + wny(j)**2 + wnz(k)**2 |
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| 184 | xmag = cabs(uc(i,j,k))**2 + cabs(vc(i,j,k))**2 + cabs(wc(i,j,k))**2 |
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| 185 | diss = diss - fac*(1./Re)*kappa2*xmag |
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| 186 | enddo |
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| 187 | enddo |
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| 188 | enddo |
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| 189 | |
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| 190 | c Do global sums using MPI_ALLREDUCE |
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| 191 | call MPI_ALLREDUCE(diss,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 192 | diss=global_val |
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| 193 | |
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| 194 | elseif( bc_flag .eq. 'zslip' ) then |
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| 195 | c |
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| 196 | c volume integrals calculated in physical space |
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| 197 | c |
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| 198 | do k=1,locnz |
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| 199 | z = myid*locnz*dz/Lz + (k-1.)*dz/Lz ! dz is dimensional, we need dless z for pe |
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| 200 | fac=1.0 |
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| 201 | if( k .eq. 1 .and. myid .eq. 0 ) fac=0.5 ! see below |
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| 202 | do j=1,nyplanes |
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| 203 | do i=1,nx |
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| 204 | rho = pd(i,j,k) |
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| 205 | ke = ke + fac*( u(i,j,k)**2 + v(i,j,k)**2 + w(i,j,k)**2 ) |
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| 206 | pe = pe + fac*rho*z |
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| 207 | bf = bf + fac*pd(i,j,k)*w(i,j,k) |
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| 208 | enddo |
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| 209 | enddo |
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| 210 | enddo |
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| 211 | |
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| 212 | if(force_flag .eq. 'yes' ) then |
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| 213 | do k=1,locnz |
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| 214 | z = myid*locnz*dz + (k-1.)*dz ! we need dimensional position |
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| 215 | fac=1.0 |
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| 216 | if( k .eq. 1 .and. myid .eq. 0 ) fac=0.5 ! see below |
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| 217 | do j=1,nyplanes |
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| 218 | do i=1,nx |
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| 219 | x=(i-1.)*dx |
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| 220 | y=(j-1.)*dy |
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| 221 | call user_defined_forcing(x,y,z,time,F1,F2,F3,F4,F5,Lx,Ly,Lz,f,g,rho_0) |
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| 222 | ke_forced = ke_forced + fac*( u(i,j,k)*F1 + v(i,j,k)*F2 + w(i,j,k)*F3 )/(U0**2/Lz) ! make F_i dless |
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| 223 | pe_forced = pe_forced + fac*( (z/Lz)*F4/(density_scale/(Lz/U0)) ) |
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| 224 | enddo |
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| 225 | enddo |
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| 226 | enddo |
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| 227 | endif |
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| 228 | |
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| 229 | c Uppermost processor must add in z=Lz contribution |
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| 230 | c Give only 1/2 weight to end point of closed interval |
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| 231 | if (myid .eq. numprocs-1) then |
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| 232 | fac=0.5 |
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| 233 | k=locnz+1 |
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| 234 | z = 1.0 ! d'less |
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| 235 | do j=1,nyplanes |
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| 236 | do i=1,nx |
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| 237 | rho = pd(i,j,k) |
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| 238 | ke = ke + fac*( u(i,j,k)**2 + v(i,j,k)**2 + w(i,j,k)**2 ) |
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| 239 | pe = pe + fac*rho*z |
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| 240 | bf = bf + fac*pd(i,j,k)*w(i,j,k) |
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| 241 | enddo |
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| 242 | enddo |
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| 243 | endif |
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| 244 | |
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| 245 | if(force_flag .eq. 'yes' ) then |
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| 246 | c Uppermost processor must add in z=Lz contribution |
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| 247 | c Give only 1/2 weight to end point of closed interval |
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| 248 | if (myid .eq. numprocs-1) then |
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| 249 | fac=0.5 |
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| 250 | k=locnz+1 |
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| 251 | z = Lz ! we need dimensional position |
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| 252 | do j=1,nyplanes |
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| 253 | do i=1,nx |
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| 254 | x=(i-1.)*dx |
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| 255 | y=(j-1.)*dy |
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| 256 | call user_defined_forcing(x,y,z,time,F1,F2,F3,F4,F5,Lx,Ly,Lz,f,g,rho_0) |
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| 257 | ke_forced = ke_forced + fac*( u(i,j,k)*F1 + v(i,j,k)*F2 + w(i,j,k)*F3 )/(U0**2/Lz) ! make F_i dless |
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| 258 | pe_forced = pe_forced + fac*( (z/Lz)*F4/(density_scale/(Lz/U0)) ) |
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| 259 | enddo |
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| 260 | enddo |
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| 261 | endif |
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| 262 | endif |
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| 263 | |
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| 264 | c Do global sums using MPI_ALLREDUCE |
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| 265 | call MPI_ALLREDUCE(ke,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 266 | ke=global_val |
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| 267 | call MPI_ALLREDUCE(pe,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 268 | pe=global_val |
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| 269 | call MPI_ALLREDUCE(bf,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 270 | bf=global_val |
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| 271 | |
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| 272 | if( force_flag .eq. 'yes' ) then |
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| 273 | call MPI_ALLREDUCE(ke_forced,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 274 | ke_forced=global_val |
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| 275 | call MPI_ALLREDUCE(pe_forced,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 276 | pe_forced=global_val |
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| 277 | endif |
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| 278 | |
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| 279 | c |
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| 280 | c surface integrals calculated in physical space |
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| 281 | c |
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| 282 | |
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| 283 | do j=1,nyplanes |
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| 284 | do i=1,nx |
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| 285 | if(myid .eq. numprocs-1 ) then |
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| 286 | k=locnz+1 |
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| 287 | Ep_surf_adv=Ep_surf_adv + pd(i,j,k)*w(i,j,k) ! w=0 by bcs |
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| 288 | rho_top=rho_top + ( ambient_density(i,j,k) + pd(i,j,k) ) |
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| 289 | rho_bottom=rho_bottom + 0. |
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| 290 | zgrad = ( ambient_density(i,j,k)-ambient_density(i,j,k-1) )/(dz/Lz) |
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| 291 | * + ( pd(i,j,k)-pd(i,j,k-1) )/(dz/Lz) |
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| 292 | Ep_surf_dif=Ep_surf_dif + zgrad |
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| 293 | endif |
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| 294 | if( myid .eq. 0 ) then |
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| 295 | k=1 |
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| 296 | Ep_surf_adv=Ep_surf_adv + 0. |
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| 297 | rho_top=rho_top + 0. |
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| 298 | Ep_surf_dif=Ep_surf_dif + 0. |
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| 299 | rho_bottom=rho_bottom + ( ambient_density(i,j,k) + pd(i,j,k) ) |
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| 300 | endif |
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| 301 | enddo |
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| 302 | enddo |
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| 303 | |
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| 304 | |
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| 305 | c Do global sums using MPI_ALLREDUCE |
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| 306 | call MPI_ALLREDUCE(rho_top,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 307 | rho_top=global_val |
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| 308 | call MPI_ALLREDUCE(rho_bottom,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 309 | rho_bottom=global_val |
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| 310 | call MPI_ALLREDUCE(Ep_surf_adv,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 311 | Ep_surf_adv=global_val |
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| 312 | call MPI_ALLREDUCE(Ep_surf_dif,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 313 | Ep_surf_dif=global_val |
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| 314 | |
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| 315 | |
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| 316 | Ep_surf_adv=Ep_surf_adv/(nx*nyplanes) |
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| 317 | Ep_surf_dif=Ep_surf_dif/(nx*nyplanes) |
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| 318 | phi_i=(rho_top-rho_bottom)/(nx*nyplanes) |
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| 319 | c |
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| 320 | c volume integrals calculated in spectral space |
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| 321 | c |
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| 322 | xnorm = (1./nz)**2 ! normalization for ffc/s transforms |
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| 323 | do i=1,locnx |
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| 324 | if(i .eq. 1 .and. myid .eq. 0) then |
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| 325 | fac=1.0*xnorm ! add zero wavenumber component once |
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| 326 | else |
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| 327 | fac=2.0*xnorm ! all other modes have complex conjugate pairs |
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| 328 | endif |
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| 329 | do j=1,nyplanes |
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| 330 | do k=1,nz+1 |
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| 331 | kappa2 = wnx(i)**2 + wny(j)**2 + wnz(k)**2 |
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| 332 | xmag = cabs(uc(i,j,k))**2 + cabs(vc(i,j,k))**2 + cabs(wc(i,j,k))**2 |
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| 333 | diss = diss - fac*(1./Re)*kappa2*xmag |
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| 334 | enddo |
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| 335 | enddo |
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| 336 | enddo |
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| 337 | |
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| 338 | c Do global sums using MPI_ALLREDUCE |
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| 339 | call MPI_ALLREDUCE(diss,global_val,1,MPI_DOUBLE_PRECISION,MPI_SUM,comm,ierr) |
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| 340 | diss=global_val |
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| 341 | |
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| 342 | endif |
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| 343 | |
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| 344 | c |
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| 345 | c dimensionalize the results: energy in [J/kg], transfers in [W/kg] |
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| 346 | c |
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| 347 | ke = (0.5)*(dV/Vol)*(U0**2)*ke ! [m2/s2]=[J/kg] |
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| 348 | ke_forced = (dV/Vol)*(U0**3/Lz)*ke_forced ! [m2/s3]=[W/kg] |
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| 349 | pe = (dV/Vol)*(g/rho_0)*(density_scale*Lz)*pe ! [J/kg] |
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| 350 | pe_forced = (dV/Vol)*(g/rho_0)*(density_scale*U0)*pe_forced ! [W/kg] |
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| 351 | bf = (dV/Vol)*(g/rho_0)*(density_scale*U0)*bf ! [m2/s3]=[W/kg] |
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| 352 | diss = 2.0*(U0**3/Lz)*diss ! [m2/s3]=[W/kg] |
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| 353 | Ep_surf_adv=-(g/rho_0)*(density_scale*U0)*Ep_surf_adv ! [m2/s3]=[W/kg] |
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| 354 | phi_i =-((kappa*g)/(rho_0*Lz))*(density_scale)*phi_i ! [m2/s3]=[W/kg] |
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| 355 | Ep_surf_dif=(kappa*g/rho_0)*(density_scale/Lz)*Ep_surf_dif ! [W/kg] |
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| 356 | phi_a = bf |
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| 357 | |
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| 358 | c |
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| 359 | c write the dimensional values to an ascii data file |
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| 360 | c |
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| 361 | if( myid .eq. 0 ) then |
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| 362 | #ifdef F77 |
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| 363 | open(1,file='output/energetics',status='unknown',access='append') |
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| 364 | #else |
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| 365 | open(1,file='output/energetics',status='unknown',position='append') |
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| 366 | #endif F77 |
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| 367 | write(1,100) time,ke,pe,phi_a,diss,Ep_surf_adv,Ep_surf_dif,phi_i,ke_forced,pe_forced |
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| 368 | 100 format(1x,10e16.8) |
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| 369 | close(1) |
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| 370 | WRITE(6,*) time,ke,pe,ke+pe |
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| 371 | endif |
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| 372 | |
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| 373 | return |
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| 374 | end |
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