| 1 |
edhill |
1.1 |
clear path |
| 2 |
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| 3 |
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global Nx Ny Nz |
| 4 |
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global lat long dz dm mdep |
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global delt_su su_its t_su delt |
| 6 |
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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) ; |
| 17 |
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| 18 |
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% iterations |
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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') |
| 22 |
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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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path = this_path |
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cmdstr=['cd ' path ]; |
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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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tfilename=(['T.' iterations((i),1:10) ]) ; |
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t=rdmds(tfilename,'b'); |
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| 46 |
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ufilename=(['U.' iterations((i),1:10) ]) ; |
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u=rdmds(ufilename,'b'); |
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| 49 |
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vfilename=(['V.' iterations((i),1:10) ]) ; |
| 50 |
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v=rdmds(vfilename,'b'); |
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| 52 |
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wfilename=(['W.' iterations((i),1:10) ]) ; |
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w=rdmds(wfilename,'b'); |
| 54 |
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| 55 |
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sumtheta=sumtheta+t; |
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sumu=sumu+u; |
| 57 |
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sumv=sumv+v; |
| 58 |
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sumw=sumw+w; |
| 59 |
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counter=counter+1; |
| 60 |
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end |
| 61 |
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| 62 |
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meantheta=sumtheta/counter; |
| 63 |
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meanu=sumu/counter; |
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meanv=sumv/counter; |
| 65 |
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meanw=sumw/counter; |
| 66 |
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| 67 |
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sumut=zeros(Nx,Ny,Nz); |
| 68 |
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sumvt=zeros(Nx,Ny,Nz); |
| 69 |
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sumwt=zeros(Nx,Ny,Nz); |
| 70 |
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| 71 |
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sumuu=zeros(Nx,Ny,Nz); |
| 72 |
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sumvu=zeros(Nx,Ny,Nz); |
| 73 |
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sumwu=zeros(Nx,Ny,Nz); |
| 74 |
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sumvv=zeros(Nx,Ny,Nz); |
| 75 |
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sumwv=zeros(Nx,Ny,Nz); |
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| 77 |
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meanu=smooth3(meanu); |
| 78 |
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meanv=smooth3(meanv); |
| 79 |
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meanw=smooth3(meanw); |
| 80 |
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meantheta=smooth3(meantheta); |
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for i=nitstart:nitend |
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i |
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tfilename=(['T.' iterations((i),1:10) ]) ; |
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t=rdmds(tfilename,'b'); |
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ufilename=(['U.' iterations((i),1:10) ]) ; |
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u=rdmds(ufilename,'b'); |
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vfilename=(['V.' iterations((i),1:10) ]) ; |
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v=rdmds(vfilename,'b'); |
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wfilename=(['W.' iterations((i),1:10) ]) ; |
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w=rdmds(wfilename,'b'); |
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| 96 |
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t=t-meantheta; |
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u=u-meanu; |
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v=v-meanv; |
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w=w-meanw; |
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| 101 |
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sumut=sumut+u.*t; |
| 102 |
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sumvt=sumvt+v.*t; |
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sumwt=sumwt+w.*t; |
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sumuu=sumuu+u.*u; |
| 106 |
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sumvu=sumvu+v.*u; |
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sumwu=sumwu+w.*u; |
| 108 |
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sumvv=sumvv+v.*v; |
| 109 |
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sumwv=sumwv+w.*v; |
| 110 |
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end |
| 111 |
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| 112 |
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sumut=sumut/counter; |
| 113 |
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sumvt=sumvt/counter; |
| 114 |
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sumwt=sumwt/counter; |
| 115 |
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| 116 |
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sumuu=sumuu/counter; |
| 117 |
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sumvu=sumvu/counter; |
| 118 |
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sumwu=sumwu/counter; |
| 119 |
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sumvv=sumvv/counter; |
| 120 |
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sumwv=sumwv/counter; |
| 121 |
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| 122 |
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Mu=zeros(Nx,Ny,Nz); |
| 123 |
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Mv=zeros(Nx,Ny,Nz); |
| 124 |
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Nu=zeros(Nx,Ny,Nz); |
| 125 |
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Nv=zeros(Nx,Ny,Nz); |
| 126 |
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D=zeros(Nx,Ny,Nz); |
| 127 |
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| 128 |
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dx=dm; |
| 129 |
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dy=dm; |
| 130 |
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dz=-dz; |
| 131 |
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| 132 |
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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) ... |
| 133 |
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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) ... |
| 134 |
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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); |
| 135 |
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| 136 |
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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) ... |
| 137 |
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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) ... |
| 138 |
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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); |
| 139 |
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| 140 |
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Nu(2:Nx-1,2:Ny-1,2:Nz-1)=-(meanu(3:Nx,2:Ny-1,2:Nz-1).*meanu(3:Nx,2:Ny-1,2:Nz-1) ... |
| 141 |
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-meanu(1:Nx-2,2:Ny-1,2:Nz-1).*meanu(1:Nx-2,2:Ny-1,2:Nz-1))/(2*dx) ... |
| 142 |
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-(meanv(2:Nx-1,3:Ny,2:Nz-1).*meanu(2:Nx-1,3:Ny,2:Nz-1) ... |
| 143 |
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-meanv(2:Nx-1,1:Ny-2,2:Nz-1).*meanu(2:Nx-1,1:Ny-2,2:Nz-1))/(2*dy) ... |
| 144 |
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-(meanw(2:Nx-1,2:Ny-1,3:Nz).*meanu(2:Nx-1,2:Ny-1,3:Nz) ... |
| 145 |
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-meanw(2:Nx-1,2:Ny-1,1:Nz-2).*meanu(2:Nx-1,2:Ny-1,1:Nz-2))/(2*dz); |
| 146 |
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| 147 |
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Nv(2:Nx-1,2:Ny-1,2:Nz-1)=-(meanv(3:Nx,2:Ny-1,2:Nz-1).*meanu(3:Nx,2:Ny-1,2:Nz-1) ... |
| 148 |
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-meanv(1:Nx-2,2:Ny-1,2:Nz-1).*meanu(1:Nx-2,2:Ny-1,2:Nz-1))/(2*dx) ... |
| 149 |
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-(meanv(2:Nx-1,3:Ny,2:Nz-1).*meanv(2:Nx-1,3:Ny,2:Nz-1) ... |
| 150 |
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-meanv(2:Nx-1,1:Ny-2,2:Nz-1).*meanv(2:Nx-1,1:Ny-2,2:Nz-1))/(2*dy) ... |
| 151 |
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-(meanw(2:Nx-1,2:Ny-1,3:Nz).*meanv(2:Nx-1,2:Ny-1,3:Nz) ... |
| 152 |
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-meanw(2:Nx-1,2:Ny-1,1:Nz-2).*meanv(2:Nx-1,2:Ny-1,1:Nz-2))/(2*dz); |
| 153 |
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| 154 |
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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) ... |
| 155 |
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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) ... |
| 156 |
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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); |
| 157 |
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| 158 |
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pv=zeros(Nx,Ny,Nz); |
| 159 |
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ff=zeros(Nx,Ny,Nz); |
| 160 |
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| 161 |
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| 162 |
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for j=1:Ny |
| 163 |
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ff(:,j,:)=f+(j-1)*dy*beta; |
| 164 |
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end |
| 165 |
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| 166 |
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pv(2:Nx-1,2:Ny-1,2:Nz-1)=(ff(2:Nx-1,2:Ny-1,2:Nz-1)) ... |
| 167 |
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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); |
| 168 |
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| 169 |
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Mp=zeros(Nx,Ny,Nz); |
| 170 |
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Np=zeros(Nx,Ny,Nz); |
| 171 |
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Dp=zeros(Nx,Ny,Nz); |
| 172 |
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| 173 |
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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)- ... |
| 174 |
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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)).* ... |
| 175 |
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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) ... |
| 176 |
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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).* ... |
| 177 |
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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) ... |
| 178 |
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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).* ... |
| 179 |
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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); |
| 180 |
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| 181 |
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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).* ... |
| 182 |
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ff(3:Nx-2,3:Ny-2,3:Nz-2); |
| 183 |
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| 184 |
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Np(3:Nx-2,3:Ny-2,3:Nz-2)=((Nv(4:Nx-1,3:Ny-2,3:Nz-2)-Nv(2:Nx-3,3:Ny-2,3:Nz-2))/(2*dx)- ... |
| 185 |
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(Nu(3:Nx-2,4:Ny-1,3:Nz-2)-Nu(3:Nx-2,2:Ny-3,3:Nz-2))/(2*dy)).* ... |
| 186 |
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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) ... |
| 187 |
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-(Nv(3:Nx-2,3:Ny-2,4:Nz-1)-Nv(3:Nx-2,3:Ny-2,2:Nz-3))/(2*dz).* ... |
| 188 |
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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) ... |
| 189 |
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+(Nu(3:Nx-2,3:Ny-2,4:Nz-1)-Nu(3:Nx-2,3:Ny-2,2:Nz-3))/(2*dz).* ... |
| 190 |
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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); |
| 191 |
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| 192 |
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sumM=zeros(Nx,Ny); |
| 193 |
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sumN=zeros(Nx,Ny); |
| 194 |
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sumD=zeros(Nx,Ny); |
| 195 |
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sumW=zeros(Nx,Ny); |
| 196 |
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| 197 |
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dz=-dz; |
| 198 |
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| 199 |
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% DEFINE BOX OF INTEGRATION |
| 200 |
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Nx1=3; |
| 201 |
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Nx2=Nx-2; |
| 202 |
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Ny1=3; |
| 203 |
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Ny2=Ny-2; |
| 204 |
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Nz1=5; |
| 205 |
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Nz2=Nz-4; |
| 206 |
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| 207 |
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| 208 |
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for k=Nz1:Nz2 |
| 209 |
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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; |
| 210 |
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sumN(3:Nx-2,3:Ny-2)=sumN(3:Nx-2,3:Ny-2)+Np(3:Nx-2,3:Ny-2,k).*pv(3:Nx-2,3:Ny-2,k)*dz; |
| 211 |
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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; |
| 212 |
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end |
| 213 |
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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); |
| 214 |
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| 215 |
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%contourf(sumM',20);colorbar; |
| 216 |
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%figure |
| 217 |
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%contourf(sumD',20);colorbar; |
| 218 |
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| 219 |
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V=[-10 10]; |
| 220 |
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title='Vorticity input'; |
| 221 |
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imagesc(lat,long,sumW(Nx1:Nx2,Ny1:Ny2)');shading flat;axis image;colorbar('vertical'); |
| 222 |
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set(gca,'ydir','norm') |
| 223 |
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text(0,110,title); |
| 224 |
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figure |
| 225 |
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title='Buoyancy diffusion integral'; |
| 226 |
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imagesc(lat,long,sumD(Nx1:Nx2,Ny1:Ny2)');shading flat;axis image;colorbar('vertical'); |
| 227 |
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set(gca,'ydir','norm') |
| 228 |
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text(0,110,title); |
| 229 |
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figure |
| 230 |
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title='Non-linear terms integral'; |
| 231 |
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imagesc(lat,long,sumN(Nx1:Nx2,Ny1:Ny2)');shading flat;axis image;colorbar('vertical'); |
| 232 |
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set(gca,'ydir','norm') |
| 233 |
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text(0,110,title); |
| 234 |
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figure |
| 235 |
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title='Momentum diffusion integral'; |
| 236 |
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imagesc(lat,long,sumM(Nx1:Nx2,Ny1:Ny2)');shading flat;axis image;colorbar('vertical'); |
| 237 |
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set(gca,'ydir','norm') |
| 238 |
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text(0,110,title); |
| 239 |
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| 240 |
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| 241 |
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%-----TEST------------------------------------------------- |
| 242 |
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| 243 |
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sum=0; |
| 244 |
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sumT=0; |
| 245 |
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for i=Nx1:Nx2 |
| 246 |
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for j=Ny1:Ny2 |
| 247 |
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sum=sum+0.5*meanw(i,j,Nz1)*pv(i,j,Nz1)*pv(i,j,Nz1)*dx*dy; |
| 248 |
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sumT=sum-0.5*meanw(i,j,Nz2)*pv(i,j,Nz2)*pv(i,j,Nz2)*dx*dy; |
| 249 |
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end |
| 250 |
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end |
| 251 |
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| 252 |
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for j=Ny1:Ny2 |
| 253 |
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for k=Nz1:Nz2 |
| 254 |
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sumT=sumT+0.5*meanu(Nx2,j,k)*pv(Nx2,j,k)*pv(Nx2,j,k)*dz*dy; |
| 255 |
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sumT=sumT-0.5*meanu(Nx1,j,k)*pv(Nx1,j,k)*pv(Nx1,j,k)*dz*dy; |
| 256 |
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end |
| 257 |
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end |
| 258 |
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| 259 |
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for i=Nx1:Nx2 |
| 260 |
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for k=Nz1:Nz2 |
| 261 |
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sumT=sumT+0.5*meanv(i,Ny2,k)*pv(i,Ny2,k)*pv(i,Ny2,k)*dz*dx; |
| 262 |
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sumT=sumT-0.5*meanv(i,Ny1,k)*pv(i,Ny1,k)*pv(i,Ny1,k)*dz*dx; |
| 263 |
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end |
| 264 |
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end |
| 265 |
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'VORTICITY GENERATION' |
| 266 |
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sum |
| 267 |
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sumT |
| 268 |
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| 269 |
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| 270 |
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|
sum=0; |
| 271 |
|
|
for i=Nx1:Nx2 |
| 272 |
|
|
for j=Ny1:Ny2 |
| 273 |
|
|
sum=sum+sumD(i,j)*dx*dy; |
| 274 |
|
|
end |
| 275 |
|
|
end |
| 276 |
|
|
'DISSIPATION BY EDDY-DIFFUSIVITY' |
| 277 |
|
|
sum |
| 278 |
|
|
|
| 279 |
|
|
sum=0; |
| 280 |
|
|
for i=Nx1:Nx2 |
| 281 |
|
|
for j=Ny1:Ny2 |
| 282 |
|
|
sum=sum+sumM(i,j)*dx*dy; |
| 283 |
|
|
end |
| 284 |
|
|
end |
| 285 |
|
|
'DISSIPATION BY EDDY-VISCOSITY' |
| 286 |
|
|
sum |
| 287 |
|
|
|
| 288 |
|
|
sum=0; |
| 289 |
|
|
for i=Nx1:Nx2 |
| 290 |
|
|
for j=Ny1:Ny2 |
| 291 |
|
|
sum=sum+sumN(i,j)*dx*dy; |
| 292 |
|
|
end |
| 293 |
|
|
end |
| 294 |
|
|
'NONLINEARITY' |
| 295 |
|
|
sum |
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