| 1 |
edhill |
1.1 |
clear path |
| 2 |
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| 3 |
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global Nx Ny Nz |
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global lat long dz dm mdep |
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global delt_su su_its t_su delt |
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global descriptor this_path |
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global f deltaf Q beta r_expt r_heat H |
| 8 |
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global time rots it |
| 9 |
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global g Cp rho_bar alpha |
| 10 |
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global u v t w |
| 11 |
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global iterations |
| 12 |
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| 13 |
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| 14 |
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param_file_name = ... |
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input(' Please enter the name of the m-file with the parameters for this run : ','s') ; |
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feval(param_file_name) ; |
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| 18 |
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% iterations |
| 19 |
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| 20 |
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itstart = input(' Please enter start iteration : ','s') |
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itend = input(' Please enter end iteration : ','s') |
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| 23 |
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| 24 |
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sizeit=size(iterations); |
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for i=1:sizeit(1) |
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iter(i)=eval(iterations(i,1:10)); |
| 27 |
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end |
| 28 |
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nitstart=find(iter==eval(itstart)) |
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nitend=find(iter==eval(itend)) |
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| 31 |
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path = this_path |
| 32 |
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cmdstr=['cd ' path ]; |
| 33 |
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eval(cmdstr); |
| 34 |
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path=pwd |
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| 36 |
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sumtheta=zeros(Nx,Ny,Nz); |
| 37 |
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sumu=zeros(Nx,Ny,Nz); |
| 38 |
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sumv=zeros(Nx,Ny,Nz); |
| 39 |
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sumw=zeros(Nx,Ny,Nz); |
| 40 |
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counter=0; |
| 41 |
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| 42 |
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for i=nitstart:nitend |
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i,0 |
| 44 |
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tfilename=(['T.' iterations((i),1:10) ]) ; |
| 45 |
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t=rdmds(tfilename,'b'); |
| 46 |
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| 47 |
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ufilename=(['U.' iterations((i),1:10) ]) ; |
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u=rdmds(ufilename,'b'); |
| 49 |
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| 50 |
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vfilename=(['V.' iterations((i),1:10) ]) ; |
| 51 |
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v=rdmds(vfilename,'b'); |
| 52 |
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| 53 |
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wfilename=(['W.' iterations((i),1:10) ]) ; |
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w=rdmds(wfilename,'b'); |
| 55 |
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| 56 |
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sumtheta=sumtheta+t; |
| 57 |
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sumu=sumu+u; |
| 58 |
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sumv=sumv+v; |
| 59 |
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sumw=sumw+w; |
| 60 |
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counter=counter+1; |
| 61 |
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end |
| 62 |
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| 63 |
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meantheta=sumtheta/counter; |
| 64 |
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meanu=sumu/counter; |
| 65 |
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meanv=sumv/counter; |
| 66 |
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meanw=sumw/counter; |
| 67 |
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| 68 |
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sumut=zeros(Nx,Ny,Nz); |
| 69 |
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sumvt=zeros(Nx,Ny,Nz); |
| 70 |
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sumwt=zeros(Nx,Ny,Nz); |
| 71 |
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| 72 |
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sumuu=zeros(Nx,Ny,Nz); |
| 73 |
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sumvu=zeros(Nx,Ny,Nz); |
| 74 |
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sumwu=zeros(Nx,Ny,Nz); |
| 75 |
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sumvv=zeros(Nx,Ny,Nz); |
| 76 |
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sumwv=zeros(Nx,Ny,Nz); |
| 77 |
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| 78 |
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meanu=smooth3(meanu); |
| 79 |
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meanv=smooth3(meanv); |
| 80 |
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meanw=smooth3(meanw); |
| 81 |
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meantheta=smooth3(meantheta); |
| 82 |
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| 83 |
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for i=nitstart:nitend |
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i |
| 85 |
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tfilename=(['T.' iterations((i),1:10) ]) ; |
| 86 |
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t=rdmds(tfilename,'b'); |
| 87 |
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| 88 |
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ufilename=(['U.' iterations((i),1:10) ]) ; |
| 89 |
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u=rdmds(ufilename,'b'); |
| 90 |
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| 91 |
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vfilename=(['V.' iterations((i),1:10) ]) ; |
| 92 |
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v=rdmds(vfilename,'b'); |
| 93 |
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| 94 |
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wfilename=(['W.' iterations((i),1:10) ]) ; |
| 95 |
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w=rdmds(wfilename,'b'); |
| 96 |
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| 97 |
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t=t-meantheta; |
| 98 |
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u=u-meanu; |
| 99 |
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v=v-meanv; |
| 100 |
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w=w-meanw; |
| 101 |
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| 102 |
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sumut=sumut+u.*t; |
| 103 |
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sumvt=sumvt+v.*t; |
| 104 |
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sumwt=sumwt+w.*t; |
| 105 |
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| 106 |
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sumuu=sumuu+u.*u; |
| 107 |
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sumvu=sumvu+v.*u; |
| 108 |
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sumwu=sumwu+w.*u; |
| 109 |
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sumvv=sumvv+v.*v; |
| 110 |
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sumwv=sumwv+w.*v; |
| 111 |
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end |
| 112 |
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| 113 |
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sumut=sumut/counter; |
| 114 |
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sumvt=sumvt/counter; |
| 115 |
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sumwt=sumwt/counter; |
| 116 |
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| 117 |
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sumuu=sumuu/counter; |
| 118 |
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sumvu=sumvu/counter; |
| 119 |
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sumwu=sumwu/counter; |
| 120 |
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sumvv=sumvv/counter; |
| 121 |
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sumwv=sumwv/counter; |
| 122 |
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| 123 |
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Mu=zeros(Nx,Ny,Nz); |
| 124 |
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Mv=zeros(Nx,Ny,Nz); |
| 125 |
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D=zeros(Nx,Ny,Nz); |
| 126 |
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| 127 |
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dx=dm; |
| 128 |
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dy=dm; |
| 129 |
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dz=-dz; |
| 130 |
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| 131 |
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Mu(2:Nx-1,2:Ny-1,2:Nz-1)=-(sumuu(3:Nx,2:Ny-1,2:Nz-1)-sumuu(1:Nx-2,2:Ny-1,2:Nz-1))/(2*dx) ... |
| 132 |
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-(sumvu(2:Nx-1,3:Ny,2:Nz-1)-sumvu(2:Nx-1,1:Ny-2,2:Nz-1))/(2*dy) ... |
| 133 |
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-(sumwu(2:Nx-1,2:Ny-1,3:Nz)-sumwu(2:Nx-1,2:Ny-1,1:Nz-2))/(2*dz); |
| 134 |
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| 135 |
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Mv(2:Nx-1,2:Ny-1,2:Nz-1)=-(sumvu(3:Nx,2:Ny-1,2:Nz-1)-sumvu(1:Nx-2,2:Ny-1,2:Nz-1))/(2*dx) ... |
| 136 |
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-(sumvv(2:Nx-1,3:Ny,2:Nz-1)-sumvv(2:Nx-1,1:Ny-2,2:Nz-1))/(2*dy) ... |
| 137 |
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-(sumwv(2:Nx-1,2:Ny-1,3:Nz)-sumwv(2:Nx-1,2:Ny-1,1:Nz-2))/(2*dz); |
| 138 |
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| 139 |
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D(2:Nx-1,2:Ny-1,2:Nz-1)=-(sumut(3:Nx,2:Ny-1,2:Nz-1)-sumut(1:Nx-2,2:Ny-1,2:Nz-1))/(2*dx) ... |
| 140 |
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-(sumvt(2:Nx-1,3:Ny,2:Nz-1)-sumvt(2:Nx-1,1:Ny-2,2:Nz-1))/(2*dy) ... |
| 141 |
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-(sumwt(2:Nx-1,2:Ny-1,3:Nz)-sumwt(2:Nx-1,2:Ny-1,1:Nz-2))/(2*dz); |
| 142 |
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| 143 |
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pv=zeros(Nx,Ny,Nz); |
| 144 |
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ff=zeros(Nx,Ny,Nz); |
| 145 |
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| 146 |
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| 147 |
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for j=1:Ny |
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ff(:,j,:)=f+(j-1)*dy*beta; |
| 149 |
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end |
| 150 |
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| 151 |
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pv(2:Nx-1,2:Ny-1,2:Nz-1)=(meanv(3:Nx,2:Ny-1,2:Nz-1)/(2*dx)-meanv(1:Nx-2,2:Ny-1,2:Nz-1)/(2*dx) ... |
| 152 |
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-meanu(2:Nx-1,3:Ny,2:Nz-1)/(2*dy)+meanu(2:Nx-1,1:Ny-2,2:Nz-1)/(2*dy) ... |
| 153 |
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+ff(2:Nx-1,2:Ny-1,2:Nz-1)) ... |
| 154 |
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.*(meantheta(2:Nx-1,2:Ny-1,3:Nz)-meantheta(2:Nx-1,2:Ny-1,1:Nz-2))/(2*dz) ... |
| 155 |
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-(meanv(2:Nx-1,2:Ny-1,3:Nz)-meanv(2:Nx-1,2:Ny-1,1:Nz-2))/(2*dz) ... |
| 156 |
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.*(meantheta(3:Nx,2:Ny-1,2:Nz-1)-meantheta(1:Nx-2,2:Ny-1,2:Nz-1))/(2*dx)+ ... |
| 157 |
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(meanu(2:Nx-1,2:Ny-1,3:Nz)-meanu(2:Nx-1,2:Ny-1,1:Nz-2))/(2*dz) ... |
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.*(meantheta(2:Nx-1,3:Ny,2:Nz-1)-meantheta(2:Nx-1,1:Ny-2,2:Nz-1))/(2*dy); |
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| 160 |
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Mp=zeros(Nx,Ny,Nz); |
| 161 |
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Dp=zeros(Nx,Ny,Nz); |
| 162 |
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| 163 |
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Mp(3:Nx-2,3:Ny-2,3:Nz-2)=((Mv(4:Nx-1,3:Ny-2,3:Nz-2)-Mv(2:Nx-3,3:Ny-2,3:Nz-2))/(2*dx)- ... |
| 164 |
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(Mu(3:Nx-2,4:Ny-1,3:Nz-2)-Mu(3:Nx-2,2:Ny-3,3:Nz-2))/(2*dy)).* ... |
| 165 |
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(meantheta(3:Nx-2,3:Ny-2,4:Nz-1)-meantheta(3:Nx-2,3:Ny-2,2:Nz-3))/(2*dz) ... |
| 166 |
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-(Mv(3:Nx-2,3:Ny-2,4:Nz-1)-Mv(3:Nx-2,3:Ny-2,2:Nz-3))/(2*dz).* ... |
| 167 |
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(meantheta(4:Nx-1,3:Ny-2,3:Nz-2)-meantheta(2:Nx-3,3:Ny-2,3:Nz-2))/(2*dx) ... |
| 168 |
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+(Mu(3:Nx-2,3:Ny-2,4:Nz-1)-Mu(3:Nx-2,3:Ny-2,2:Nz-3))/(2*dz).* ... |
| 169 |
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(meantheta(3:Nx-2,4:Ny-1,3:Nz-2)-meantheta(3:Nx-2,2:Ny-3,3:Nz-2))/(2*dy); |
| 170 |
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| 171 |
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Dp(3:Nx-2,3:Ny-2,3:Nz-2)=(D(3:Nx-2,3:Ny-2,4:Nz-1)-D(3:Nx-2,3:Ny-2,2:Nz-3))/(2*dz).* ... |
| 172 |
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(meanv(4:Nx-1,3:Ny-2,3:Nz-2)/(2*dx)-meanv(2:Nx-3,3:Ny-2,3:Nz-2)/(2*dx) ... |
| 173 |
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-meanu(3:Nx-2,4:Ny-1,3:Nz-2)/(2*dy)+meanu(3:Nx-2,2:Ny-3,3:Nz-2)/(2*dy)+ff(3:Nx-2,3:Ny-2,3:Nz-2)) ... |
| 174 |
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-(D(4:Nx-1,3:Ny-2,3:Nz-2)-D(2:Nx-3,3:Ny-2,3:Nz-2))/(2*dx).* ... |
| 175 |
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(meanv(3:Nx-2,3:Ny-2,4:Nz-1)-meanv(3:Nx-2,3:Ny-2,2:Nz-3))/(2*dz)+ ... |
| 176 |
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(D(3:Nx-2,4:Ny-1,3:Nz-2)-D(3:Nx-2,2:Ny-3,3:Nz-2))/(2*dy).* ... |
| 177 |
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(meanu(3:Nx-2,3:Ny-2,4:Nz-1)-meanu(3:Nx-2,3:Ny-2,2:Nz-3))/(2*dz); |
| 178 |
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| 179 |
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| 180 |
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sumM=zeros(Nx,Ny); |
| 181 |
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sumD=zeros(Nx,Ny); |
| 182 |
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sumW=zeros(Nx,Ny); |
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dz=-dz; |
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% DEFINE BOX OF INTEGRATION |
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Nx1=3; |
| 188 |
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Nx2=Nx-2; |
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Ny1=3; |
| 190 |
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Ny2=Ny-2; |
| 191 |
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Nz1=5; |
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Nz2=Nz-4; |
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for k=Nz1:Nz2 |
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sumM(3:Nx-2,3:Ny-2)=sumM(3:Nx-2,3:Ny-2)+Mp(3:Nx-2,3:Ny-2,k).*pv(3:Nx-2,3:Ny-2,k)*dz; |
| 197 |
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sumD(3:Nx-2,3:Ny-2)=sumD(3:Nx-2,3:Ny-2)+Dp(3:Nx-2,3:Ny-2,k).*pv(3:Nx-2,3:Ny-2,k)*dz; |
| 198 |
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end |
| 199 |
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sumW(3:Nx-2,3:Ny-2)=0.5*meanw(3:Nx-2,3:Ny-2,Nz1).*pv(3:Nx-2,3:Ny-2,Nz1).*pv(3:Nx-2,3:Ny-2,Nz1); |
| 200 |
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| 201 |
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%contourf(sumM',20);colorbar; |
| 202 |
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%figure |
| 203 |
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%contourf(sumD',20);colorbar; |
| 204 |
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| 205 |
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V=[0.25*min(min(sumW(Nx1:Nx2,Ny1:Ny2-4))) 0]; |
| 206 |
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| 207 |
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title='Vorticity input'; |
| 208 |
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imagesc(lat,long,sumW(Nx1:Nx2,Ny1:Ny2-4)');shading flat;caxis(V);axis image;colorbar('vertical'); |
| 209 |
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set(gca,'ydir','norm') |
| 210 |
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text(0,110,title); |
| 211 |
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figure |
| 212 |
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V=[-0.5*max(max(abs(sumD(Nx1:Nx2,Ny1:Ny2-4)))) 0.5*max(max(abs(sumD(Nx1:Nx2,Ny1:Ny2-4))))] |
| 213 |
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title='Buoyancy diffusion integral'; |
| 214 |
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imagesc(lat,long,sumD(Nx1:Nx2,Ny1:Ny2-4)');shading flat;caxis(V);axis image;colorbar('vertical'); |
| 215 |
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set(gca,'ydir','norm') |
| 216 |
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text(0,110,title); |
| 217 |
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figure |
| 218 |
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V=[-0.5*max(max(abs(sumM(Nx1:Nx2,Ny1:Ny2-4)))) 0.5*max(max(abs(sumM(Nx1:Nx2,Ny1:Ny2-4))))] |
| 219 |
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title='Momentum diffusion integral'; |
| 220 |
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imagesc(lat,long,sumM(Nx1:Nx2,Ny1:Ny2-4)');shading flat;caxis(V);axis image;colorbar('vertical'); |
| 221 |
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set(gca,'ydir','norm') |
| 222 |
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text(0,110,title); |
| 223 |
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| 224 |
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| 225 |
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%-----TEST------------------------------------------------- |
| 226 |
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| 227 |
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sum=0; |
| 228 |
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sumT=0; |
| 229 |
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for i=Nx1:Nx2 |
| 230 |
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for j=Ny1:Ny2 |
| 231 |
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sum=sum+0.5*meanw(i,j,Nz1)*pv(i,j,Nz1)*pv(i,j,Nz1)*dx*dy; |
| 232 |
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sumT=sum-0.5*meanw(i,j,Nz2)*pv(i,j,Nz2)*pv(i,j,Nz2)*dx*dy; |
| 233 |
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end |
| 234 |
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end |
| 235 |
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| 236 |
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for j=Ny1:Ny2 |
| 237 |
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for k=Nz1:Nz2 |
| 238 |
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sumT=sumT+0.5*meanu(Nx2,j,k)*pv(Nx2,j,k)*pv(Nx2,j,k)*dz*dy; |
| 239 |
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sumT=sumT-0.5*meanu(Nx1,j,k)*pv(Nx1,j,k)*pv(Nx1,j,k)*dz*dy; |
| 240 |
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end |
| 241 |
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end |
| 242 |
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| 243 |
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for i=Nx1:Nx2 |
| 244 |
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for k=Nz1:Nz2 |
| 245 |
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sumT=sumT+0.5*meanv(i,Ny2,k)*pv(i,Ny2,k)*pv(i,Ny2,k)*dz*dx; |
| 246 |
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sumT=sumT-0.5*meanv(i,Ny1,k)*pv(i,Ny1,k)*pv(i,Ny1,k)*dz*dx; |
| 247 |
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end |
| 248 |
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end |
| 249 |
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'VORTICITY GENERATION' |
| 250 |
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sum |
| 251 |
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sumT |
| 252 |
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| 253 |
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| 254 |
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sum=0; |
| 255 |
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for i=Nx1:Nx2 |
| 256 |
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for j=Ny1:Ny2 |
| 257 |
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sum=sum+sumD(i,j)*dx*dy; |
| 258 |
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end |
| 259 |
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end |
| 260 |
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'DISSIPATION BY EDDY-DIFFUSIVITY' |
| 261 |
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sum |
| 262 |
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| 263 |
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sum=0; |
| 264 |
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for i=Nx1:Nx2 |
| 265 |
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for j=Ny1:Ny2 |
| 266 |
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sum=sum+sumM(i,j)*dx*dy; |
| 267 |
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end |
| 268 |
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end |
| 269 |
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'DISSIPATION BY EDDY-VISCOSITY' |
| 270 |
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sum |
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