| 1 |
edhill |
1.1 |
t0=input('Enter temperature : ') |
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% t0=27; |
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% Interpolate Dw on T=T0 surface |
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h=zeros(Nx,Ny); |
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hh=zeros(Nx,Ny); |
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hhh=zeros(Nx,Ny); |
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Dh=zeros(Nx,Ny); |
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meantheta(:,:,Nz)=0.; |
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for i=1:Nx |
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for j=1:Ny |
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kk=find(meantheta(i,j,:)<t0); |
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if kk(1)>1 |
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h(i,j)=(kk(1)-1)*dz+dz*(meantheta(i,j,kk(1)-1)-t0)/(meantheta(i,j,kk(1)-1)-meantheta(i,j,kk(1))); |
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Dh(i,j)=Dw(i,j,kk(1)-1) ... |
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+(Dw(i,j,kk(1))-Dw(i,j,kk(1)-1)) ... |
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*(meantheta(i,j,kk(1)-1)-t0)/(meantheta(i,j,kk(1)-1)-meantheta(i,j,kk(1))); |
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else |
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h(i,j)=0; |
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Dh(i,j)=0; |
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end |
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end |
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end |
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Nz1=5; |
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he=dz*(Nz1-1); |
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hmax=max(max(h)) |
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figure |
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%pcolor(Dh.');shading flat; colorbar; axis square |
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% title('mean Wstar'); |
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% title(['mean Wstar from ' num2str(eval(itstart)) ' to 'num2str(eval(itend)) ' level of t=' num2str(t0) ]); |
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%figure |
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%pcolor(hhh.');shading flat; colorbar; axis square |
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%pcolor(flipud(h.'));shading flat; colorbar; axis square |
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%title(['mean H from ' num2str(eval(itstart)) ' to 'num2str(eval(itend)) ' level of t=' num2str(t0) ]); |
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%figure |
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we=0; |
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ws=0; |
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WE=zeros(Nx,Ny); |
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WS=zeros(Nx,Ny); |
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hh=zeros(Nx,Ny); |
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WE1=zeros(Nx,Ny,3); |
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WS1=zeros(Nx,Ny,3); |
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hh1=zeros(Nx,Ny,3); |
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for i=1:Nx |
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for j=1:Ny |
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r=sqrt((i-3*Nx/4)*(i-3*Nx/4)+(j-Ny/2)*(j-Ny/2))*dx; |
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WE(i,j)=meanw(i,j,Nz1); |
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WS(i,j)=Dh(i,j); |
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% if r<0.44 |
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if h(i,j)>he |
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we=meanw(i,j,Nz1)*dx*dx+we; |
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ws=Dh(i,j)*dx*dx+ws; |
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end |
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end |
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end |
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% end |
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we |
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ws |
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hh=h; |
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for k=1:3 |
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WE1(:,:,k)=WE(:,:); |
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WS1(:,:,k)=WS(:,:); |
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hh1(:,:,k)=hh(:,:); |
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end |
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for k=1:8 |
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WE1=smooth3(WE1); |
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WS1=smooth3(WS1); |
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hh1=smooth3(hh1); |
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end |
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hhh(2:Nx-1,2:Ny-1)=10000*(hh1(1:Nx-2,2:Ny-1,1)+hh1(3:Nx,2:Ny-1,1)+... |
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hh1(2:Nx-1,1:Ny-2,1)+hh1(2:Nx-1,3:Ny,1)-4*hh1(2:Nx-1,2:Ny-1,1)); |
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%hhh(2:Nx-1,2:Ny-1)=10000*(hh1(1:Nx-2,2:Ny-1,1)-hh1(3:Nx,2:Ny-1,1)).*... |
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%(hh1(1:Nx-2,2:Ny-1,1)-hh1(3:Nx,2:Ny-1,1))+... |
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%10000*(hh1(2:Nx-1,1:Ny-2,1)-hh1(2:Nx-1,3:Ny,1)).*... |
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%(hh1(2:Nx-1,1:Ny-2,1)-hh1(2:Nx-1,3:Ny,1)); |
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i=find(h<he); |
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h(i)=0; |
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% i=find(abs(hhh)>0.001); |
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% hhh(i)=0; |
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for i=1:Nx |
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for j=1:Ny |
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r=sqrt((i-3*Nx/4)*(i-3*Nx/4)+(j-Ny/2)*(j-Ny/2))*dx; |
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% if r>0.44 |
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%hhh(i,j)=NaN; |
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%hh(i,j)=NaN; |
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%WS1(i,j,1)=NaN; |
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% end |
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if h(i,j)<he |
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WE1(i,j,1)=0; |
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WS1(i,j,1)=NaN; |
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hh(i,j)=NaN; |
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hhh(i,j)=NaN; |
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end |
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end |
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end |
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%pcolor(hh(1:Nx,:).');shading flat; colorbar; axis square |
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% set(gca,'DataAspectRatio',[2,2,2]) |
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%title('h','FontSize',16); |
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%figure |
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%x=2:2:Nx; |
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%y=2:2:Ny; |
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%hh(:,:)=max(he,hh(:,:)); |
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%surf(x,y,200*(-hh(2:2:Nx,2:2:Ny)'+he)); |
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%axis([Nx/2 Nx 0 Ny -20.0 0]) |
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%set(gca,'DataAspectRatio',[20,20,5]) |
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%title('h','FontSize',16); |
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%figure |
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hhh(1:Nx,:)=-10*hhh(1:Nx,:); |
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% hhh(Nx/2:Nx,:)=100*hhh(Nx/2:Nx,:); |
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a=max(max(hhh(1:Nx,:))); |
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subplot(2,1,1) |
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pcolor(hhh(:,:).');caxis([0 a]);shading flat; axis square |
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%pcolor(hhh(Nx/2:Nx,:).');caxis([0 a]);shading flat; axis square |
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set(gca,'DataAspectRatio',[2,2,2],'XtickLabel','|','YtickLabel','|') |
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title('-\nabla^2 h','FontSize',15); |
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xlabel('X','FontSize',15); |
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ylabel('Y','Rotation',[0],'FontSize',13); |
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subplot(2,1,2) |
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WS1(1:Nx,:,1)=-WS1(1:Nx,:,1)*16667; |
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a=max(max(WS1(1:Nx,:,1))); |
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pcolor(squeeze(WS1(:,:,1)).');caxis([0 a]);shading flat; axis square; |
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% pcolor(squeeze(WS1(Nx/2:Nx,:,1)).');caxis([0 a]);shading flat; axis square; |
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set(gca,'DataAspectRatio',[2,2,2],'XtickLabel','|','YtickLabel','|') |
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title('w^*','FontSize',15); |
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xlabel('X','FontSize',15); |
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ylabel('Y','Rotation',[0],'FontSize',13); |
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WS2=squeeze(WS1(:,:,1)); |
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i=find(~isnan(hhh)); |
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WS2=WS2(i); |
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WS=-WS*16667; |
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hhh=hhh(i); |
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sqrt(mean(WS2.*WS2)/ mean(hhh.*hhh)) |
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%mean(WS2)/mean(hhh) |
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%max(WS2)/max(hhh) |
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