| 1 |
t0=input('Enter temperature : ') |
| 2 |
% t0=27; |
| 3 |
|
| 4 |
% Interpolate Dw on T=T0 surface |
| 5 |
|
| 6 |
h=zeros(Nx,Ny); |
| 7 |
hh=zeros(Nx,Ny); |
| 8 |
hhh=zeros(Nx,Ny); |
| 9 |
Dh=zeros(Nx,Ny); |
| 10 |
|
| 11 |
meantheta(:,:,Nz)=0.; |
| 12 |
for i=1:Nx |
| 13 |
for j=1:Ny |
| 14 |
kk=find(meantheta(i,j,:)<t0); |
| 15 |
|
| 16 |
if kk(1)>1 |
| 17 |
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))); |
| 18 |
|
| 19 |
Dh(i,j)=Dw(i,j,kk(1)-1) ... |
| 20 |
+(Dw(i,j,kk(1))-Dw(i,j,kk(1)-1)) ... |
| 21 |
*(meantheta(i,j,kk(1)-1)-t0)/(meantheta(i,j,kk(1)-1)-meantheta(i,j,kk(1))); |
| 22 |
else |
| 23 |
h(i,j)=0; |
| 24 |
Dh(i,j)=0; |
| 25 |
end |
| 26 |
|
| 27 |
end |
| 28 |
end |
| 29 |
|
| 30 |
Nz1=5; |
| 31 |
he=dz*(Nz1-1); |
| 32 |
hmax=max(max(h)) |
| 33 |
|
| 34 |
|
| 35 |
figure |
| 36 |
|
| 37 |
%pcolor(Dh.');shading flat; colorbar; axis square |
| 38 |
% title('mean Wstar'); |
| 39 |
% title(['mean Wstar from ' num2str(eval(itstart)) ' to 'num2str(eval(itend)) ' level of t=' num2str(t0) ]); |
| 40 |
|
| 41 |
%figure |
| 42 |
|
| 43 |
%pcolor(hhh.');shading flat; colorbar; axis square |
| 44 |
%pcolor(flipud(h.'));shading flat; colorbar; axis square |
| 45 |
%title(['mean H from ' num2str(eval(itstart)) ' to 'num2str(eval(itend)) ' level of t=' num2str(t0) ]); |
| 46 |
%figure |
| 47 |
|
| 48 |
|
| 49 |
we=0; |
| 50 |
ws=0; |
| 51 |
WE=zeros(Nx,Ny); |
| 52 |
WS=zeros(Nx,Ny); |
| 53 |
hh=zeros(Nx,Ny); |
| 54 |
WE1=zeros(Nx,Ny,3); |
| 55 |
WS1=zeros(Nx,Ny,3); |
| 56 |
hh1=zeros(Nx,Ny,3); |
| 57 |
for i=1:Nx |
| 58 |
for j=1:Ny |
| 59 |
|
| 60 |
r=sqrt((i-3*Nx/4)*(i-3*Nx/4)+(j-Ny/2)*(j-Ny/2))*dx; |
| 61 |
WE(i,j)=meanw(i,j,Nz1); |
| 62 |
WS(i,j)=Dh(i,j); |
| 63 |
|
| 64 |
% if r<0.44 |
| 65 |
if h(i,j)>he |
| 66 |
we=meanw(i,j,Nz1)*dx*dx+we; |
| 67 |
ws=Dh(i,j)*dx*dx+ws; |
| 68 |
end |
| 69 |
end |
| 70 |
end |
| 71 |
% end |
| 72 |
we |
| 73 |
ws |
| 74 |
|
| 75 |
hh=h; |
| 76 |
|
| 77 |
for k=1:3 |
| 78 |
WE1(:,:,k)=WE(:,:); |
| 79 |
WS1(:,:,k)=WS(:,:); |
| 80 |
hh1(:,:,k)=hh(:,:); |
| 81 |
end |
| 82 |
|
| 83 |
|
| 84 |
for k=1:8 |
| 85 |
WE1=smooth3(WE1); |
| 86 |
WS1=smooth3(WS1); |
| 87 |
hh1=smooth3(hh1); |
| 88 |
end |
| 89 |
|
| 90 |
hhh(2:Nx-1,2:Ny-1)=10000*(hh1(1:Nx-2,2:Ny-1,1)+hh1(3:Nx,2:Ny-1,1)+... |
| 91 |
hh1(2:Nx-1,1:Ny-2,1)+hh1(2:Nx-1,3:Ny,1)-4*hh1(2:Nx-1,2:Ny-1,1)); |
| 92 |
|
| 93 |
%hhh(2:Nx-1,2:Ny-1)=10000*(hh1(1:Nx-2,2:Ny-1,1)-hh1(3:Nx,2:Ny-1,1)).*... |
| 94 |
%(hh1(1:Nx-2,2:Ny-1,1)-hh1(3:Nx,2:Ny-1,1))+... |
| 95 |
%10000*(hh1(2:Nx-1,1:Ny-2,1)-hh1(2:Nx-1,3:Ny,1)).*... |
| 96 |
%(hh1(2:Nx-1,1:Ny-2,1)-hh1(2:Nx-1,3:Ny,1)); |
| 97 |
|
| 98 |
i=find(h<he); |
| 99 |
h(i)=0; |
| 100 |
% i=find(abs(hhh)>0.001); |
| 101 |
% hhh(i)=0; |
| 102 |
|
| 103 |
for i=1:Nx |
| 104 |
for j=1:Ny |
| 105 |
r=sqrt((i-3*Nx/4)*(i-3*Nx/4)+(j-Ny/2)*(j-Ny/2))*dx; |
| 106 |
|
| 107 |
% if r>0.44 |
| 108 |
%hhh(i,j)=NaN; |
| 109 |
%hh(i,j)=NaN; |
| 110 |
%WS1(i,j,1)=NaN; |
| 111 |
% end |
| 112 |
|
| 113 |
if h(i,j)<he |
| 114 |
WE1(i,j,1)=0; |
| 115 |
WS1(i,j,1)=NaN; |
| 116 |
hh(i,j)=NaN; |
| 117 |
hhh(i,j)=NaN; |
| 118 |
end |
| 119 |
|
| 120 |
end |
| 121 |
end |
| 122 |
|
| 123 |
|
| 124 |
%pcolor(hh(1:Nx,:).');shading flat; colorbar; axis square |
| 125 |
% set(gca,'DataAspectRatio',[2,2,2]) |
| 126 |
%title('h','FontSize',16); |
| 127 |
%figure |
| 128 |
|
| 129 |
%x=2:2:Nx; |
| 130 |
%y=2:2:Ny; |
| 131 |
%hh(:,:)=max(he,hh(:,:)); |
| 132 |
%surf(x,y,200*(-hh(2:2:Nx,2:2:Ny)'+he)); |
| 133 |
%axis([Nx/2 Nx 0 Ny -20.0 0]) |
| 134 |
%set(gca,'DataAspectRatio',[20,20,5]) |
| 135 |
%title('h','FontSize',16); |
| 136 |
%figure |
| 137 |
|
| 138 |
hhh(1:Nx,:)=-10*hhh(1:Nx,:); |
| 139 |
% hhh(Nx/2:Nx,:)=100*hhh(Nx/2:Nx,:); |
| 140 |
a=max(max(hhh(1:Nx,:))); |
| 141 |
|
| 142 |
subplot(2,1,1) |
| 143 |
pcolor(hhh(:,:).');caxis([0 a]);shading flat; axis square |
| 144 |
%pcolor(hhh(Nx/2:Nx,:).');caxis([0 a]);shading flat; axis square |
| 145 |
set(gca,'DataAspectRatio',[2,2,2],'XtickLabel','|','YtickLabel','|') |
| 146 |
title('-\nabla^2 h','FontSize',15); |
| 147 |
xlabel('X','FontSize',15); |
| 148 |
ylabel('Y','Rotation',[0],'FontSize',13); |
| 149 |
|
| 150 |
subplot(2,1,2) |
| 151 |
WS1(1:Nx,:,1)=-WS1(1:Nx,:,1)*16667; |
| 152 |
a=max(max(WS1(1:Nx,:,1))); |
| 153 |
pcolor(squeeze(WS1(:,:,1)).');caxis([0 a]);shading flat; axis square; |
| 154 |
% pcolor(squeeze(WS1(Nx/2:Nx,:,1)).');caxis([0 a]);shading flat; axis square; |
| 155 |
set(gca,'DataAspectRatio',[2,2,2],'XtickLabel','|','YtickLabel','|') |
| 156 |
title('w^*','FontSize',15); |
| 157 |
xlabel('X','FontSize',15); |
| 158 |
ylabel('Y','Rotation',[0],'FontSize',13); |
| 159 |
|
| 160 |
|
| 161 |
WS2=squeeze(WS1(:,:,1)); |
| 162 |
i=find(~isnan(hhh)); |
| 163 |
WS2=WS2(i); |
| 164 |
WS=-WS*16667; |
| 165 |
hhh=hhh(i); |
| 166 |
sqrt(mean(WS2.*WS2)/ mean(hhh.*hhh)) |
| 167 |
%mean(WS2)/mean(hhh) |
| 168 |
%max(WS2)/max(hhh) |
| 169 |
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