| 1 | 
edhill | 
1.1 | 
t0=input('Enter temperature : ') | 
| 2 | 
  | 
  | 
 | 
| 3 | 
  | 
  | 
% Interpolate Dw on T=T0 surface | 
| 4 | 
  | 
  | 
 | 
| 5 | 
  | 
  | 
h=zeros(Nx,Ny); | 
| 6 | 
  | 
  | 
hh=zeros(Nx,Ny); | 
| 7 | 
  | 
  | 
hhh=zeros(Nx,Ny); | 
| 8 | 
  | 
  | 
Dh=zeros(Nx,Ny); | 
| 9 | 
  | 
  | 
 | 
| 10 | 
  | 
  | 
Nz1=4; | 
| 11 | 
  | 
  | 
he=dz*(Nz1-1); | 
| 12 | 
  | 
  | 
 | 
| 13 | 
  | 
  | 
meantheta(:,:,Nz)=0.; | 
| 14 | 
  | 
  | 
for i=1:Nx | 
| 15 | 
  | 
  | 
for j=1:Ny | 
| 16 | 
  | 
  | 
kk=find(meantheta(i,j,:)<t0); | 
| 17 | 
  | 
  | 
 | 
| 18 | 
  | 
  | 
if kk(1)>1 | 
| 19 | 
  | 
  | 
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))); | 
| 20 | 
  | 
  | 
 | 
| 21 | 
  | 
  | 
Dh(i,j)=Dw(i,j,kk(1)-1) ... | 
| 22 | 
  | 
  | 
+(Dw(i,j,kk(1))-Dw(i,j,kk(1)-1)) ... | 
| 23 | 
  | 
  | 
*(meantheta(i,j,kk(1)-1)-t0)/(meantheta(i,j,kk(1)-1)-meantheta(i,j,kk(1))); | 
| 24 | 
  | 
  | 
else | 
| 25 | 
  | 
  | 
h(i,j)=0; | 
| 26 | 
  | 
  | 
Dh(i,j)=0; | 
| 27 | 
  | 
  | 
end | 
| 28 | 
  | 
  | 
 | 
| 29 | 
  | 
  | 
end | 
| 30 | 
  | 
  | 
end | 
| 31 | 
  | 
  | 
 | 
| 32 | 
  | 
  | 
hmax=max(max(h)) | 
| 33 | 
  | 
  | 
 | 
| 34 | 
  | 
  | 
 | 
| 35 | 
  | 
  | 
figure | 
| 36 | 
  | 
  | 
 | 
| 37 | 
  | 
  | 
%pcolor(Dh.');shading flat; colorbar; axis square | 
| 38 | 
  | 
  | 
% title('mean Wstar'); | 
| 39 | 
  | 
  | 
 | 
| 40 | 
  | 
  | 
%figure | 
| 41 | 
  | 
  | 
 | 
| 42 | 
  | 
  | 
%pcolor(hhh.');shading flat; colorbar; axis square | 
| 43 | 
  | 
  | 
%pcolor(flipud(h.'));shading flat; colorbar; axis square | 
| 44 | 
  | 
  | 
%title(['mean H from ' num2str(eval(itstart)) ' to 'num2str(eval(itend)) ' level of t=' num2str(t0) ]); | 
| 45 | 
  | 
  | 
%figure | 
| 46 | 
  | 
  | 
 | 
| 47 | 
  | 
  | 
 | 
| 48 | 
  | 
  | 
we=0; | 
| 49 | 
  | 
  | 
ws=0; | 
| 50 | 
  | 
  | 
WE=zeros(Nx,Ny); | 
| 51 | 
  | 
  | 
WS=zeros(Nx,Ny); | 
| 52 | 
  | 
  | 
hh=zeros(Nx,Ny); | 
| 53 | 
  | 
  | 
 | 
| 54 | 
  | 
  | 
%for i=Nx/2:Nx | 
| 55 | 
  | 
  | 
for i=1:Nx | 
| 56 | 
  | 
  | 
for j=1:Ny | 
| 57 | 
  | 
  | 
 | 
| 58 | 
  | 
  | 
r=sqrt((i-3*Nx/4)*(i-3*Nx/4)+(j-Ny/2)*(j-Ny/2))*dx; | 
| 59 | 
  | 
  | 
WE(i,j)=meanw(i,j,Nz1); | 
| 60 | 
  | 
  | 
WS(i,j)=Dh(i,j); | 
| 61 | 
  | 
  | 
 | 
| 62 | 
  | 
  | 
% if r<0.40 | 
| 63 | 
  | 
  | 
if h(i,j)>he | 
| 64 | 
  | 
  | 
we=meanw(i,j,Nz1)*dx*dx+we; | 
| 65 | 
  | 
  | 
ws=Dh(i,j)*dx*dx+ws; | 
| 66 | 
  | 
  | 
% end | 
| 67 | 
  | 
  | 
end | 
| 68 | 
  | 
  | 
end | 
| 69 | 
  | 
  | 
end | 
| 70 | 
  | 
  | 
 | 
| 71 | 
  | 
  | 
hh=h; | 
| 72 | 
  | 
  | 
 | 
| 73 | 
  | 
  | 
for k=1:3 | 
| 74 | 
  | 
  | 
WE1(:,:,k)=WE(:,:); | 
| 75 | 
  | 
  | 
WS1(:,:,k)=WS(:,:); | 
| 76 | 
  | 
  | 
hh1(:,:,k)=hh(:,:); | 
| 77 | 
  | 
  | 
end | 
| 78 | 
  | 
  | 
 | 
| 79 | 
  | 
  | 
 | 
| 80 | 
  | 
  | 
for k=1:5 | 
| 81 | 
  | 
  | 
WE1=smooth3(WE1); | 
| 82 | 
  | 
  | 
WS1=smooth3(WS1); | 
| 83 | 
  | 
  | 
hh1=smooth3(hh1); | 
| 84 | 
  | 
  | 
end | 
| 85 | 
  | 
  | 
 | 
| 86 | 
  | 
  | 
hhh(2:Nx-1,2:Ny-1)=10000*(hh1(1:Nx-2,2:Ny-1,1)+hh1(3:Nx,2:Ny-1,1)+... | 
| 87 | 
  | 
  | 
hh1(2:Nx-1,1:Ny-2,1)+hh1(2:Nx-1,3:Ny,1)-4*hh1(2:Nx-1,2:Ny-1,1)); | 
| 88 | 
  | 
  | 
 | 
| 89 | 
  | 
  | 
%hhh(2:Nx-1,2:Ny-1)=10000*(hh1(1:Nx-2,2:Ny-1,1)-hh1(3:Nx,2:Ny-1,1)).*... | 
| 90 | 
  | 
  | 
%(hh1(1:Nx-2,2:Ny-1,1)-hh1(3:Nx,2:Ny-1,1))+... | 
| 91 | 
  | 
  | 
%10000*(hh1(2:Nx-1,1:Ny-2,1)-hh1(2:Nx-1,3:Ny,1)).*... | 
| 92 | 
  | 
  | 
%(hh1(2:Nx-1,1:Ny-2,1)-hh1(2:Nx-1,3:Ny,1)); | 
| 93 | 
  | 
  | 
 | 
| 94 | 
  | 
  | 
i=find(h<0.015); | 
| 95 | 
  | 
  | 
h(i)=0; | 
| 96 | 
  | 
  | 
% i=find(abs(hhh)>0.001); | 
| 97 | 
  | 
  | 
% hhh(i)=0; | 
| 98 | 
  | 
  | 
 | 
| 99 | 
  | 
  | 
for i=1:Nx | 
| 100 | 
  | 
  | 
for j=1:Ny | 
| 101 | 
  | 
  | 
%r=sqrt((i-3*Nx/4)*(i-3*Nx/4)+(j-Ny/2)*(j-Ny/2))*dx; | 
| 102 | 
  | 
  | 
 | 
| 103 | 
  | 
  | 
%if r>0.44 | 
| 104 | 
  | 
  | 
%hhh(i,j)=NaN; | 
| 105 | 
  | 
  | 
%hh(i,j)=NaN; | 
| 106 | 
  | 
  | 
%WS1(i,j,1)=NaN; | 
| 107 | 
  | 
  | 
%end | 
| 108 | 
  | 
  | 
 | 
| 109 | 
  | 
  | 
if h(i,j)<he | 
| 110 | 
  | 
  | 
WE1(i,j,1)=0; | 
| 111 | 
  | 
  | 
WS1(i,j,1)=NaN; | 
| 112 | 
  | 
  | 
hh(i,j)=NaN; | 
| 113 | 
  | 
  | 
hhh(i,j)=NaN; | 
| 114 | 
  | 
  | 
end | 
| 115 | 
  | 
  | 
 | 
| 116 | 
  | 
  | 
end | 
| 117 | 
  | 
  | 
end | 
| 118 | 
  | 
  | 
 | 
| 119 | 
  | 
  | 
 | 
| 120 | 
  | 
  | 
%pcolor(hh(1:Nx,:).');shading flat; colorbar; axis square | 
| 121 | 
  | 
  | 
% set(gca,'DataAspectRatio',[2,2,2]) | 
| 122 | 
  | 
  | 
% title('h','FontSize',16); | 
| 123 | 
  | 
  | 
%figure | 
| 124 | 
  | 
  | 
 | 
| 125 | 
  | 
  | 
x=1:3:Nx-2; | 
| 126 | 
  | 
  | 
y=1:3:Ny; | 
| 127 | 
  | 
  | 
hh(:,:)=max(he,hh(:,:)); | 
| 128 | 
  | 
  | 
subplot('position',[0.30 0.7 0.4 0.3]) | 
| 129 | 
  | 
  | 
 surf(x,y,200*(-hh(1:3:Nx-2,1:3:Ny)'+he)); | 
| 130 | 
  | 
  | 
axis([1 Nx-4 0 Ny-2 -10.0 0]) | 
| 131 | 
  | 
  | 
a=0:1:63; | 
| 132 | 
  | 
  | 
a=a/63; | 
| 133 | 
  | 
  | 
cmap=[a' a' a']; | 
| 134 | 
  | 
  | 
colormap(cmap); | 
| 135 | 
  | 
  | 
set(gca,'DataAspectRatio',[20,20,7]) | 
| 136 | 
  | 
  | 
set(gca,'XtickLabel','|') | 
| 137 | 
  | 
  | 
set(gca,'YtickLabel','|') | 
| 138 | 
  | 
  | 
set(gca,'ZtickLabel','|') | 
| 139 | 
  | 
  | 
xlabel('x','FontSize',20) | 
| 140 | 
  | 
  | 
ylabel('y','FontSize',20) | 
| 141 | 
  | 
  | 
zlabel('z','FontSize',20,'Rotation',[0]) | 
| 142 | 
  | 
  | 
%title('h','FontSize',19); | 
| 143 | 
  | 
  | 
view(-20,10); | 
| 144 | 
  | 
  | 
 | 
| 145 | 
  | 
  | 
hhh(1:Nx,:)=-10*hhh(1:Nx,:); | 
| 146 | 
  | 
  | 
% hhh(Nx/2:Nx,:)=100*hhh(Nx/2:Nx,:); | 
| 147 | 
  | 
  | 
a=max(max(hhh(1:Nx,:))); | 
| 148 | 
  | 
  | 
 | 
| 149 | 
  | 
  | 
%pcolor(hhh(1:Nx,:).');caxis([0 a]);shading flat; colorbar; axis square | 
| 150 | 
  | 
  | 
%set(gca,'DataAspectRatio',[2,2,2]) | 
| 151 | 
  | 
  | 
%title('-\nabla^2 h','FontSize',12); | 
| 152 | 
  | 
  | 
%xlabel('x','Fontsize',13); | 
| 153 | 
  | 
  | 
%ylabel('y','Fontsize',13); | 
| 154 | 
  | 
  | 
%text(50,-10,'x'); | 
| 155 | 
  | 
  | 
%text(-10,60,'y'); | 
| 156 | 
  | 
  | 
 | 
| 157 | 
  | 
  | 
%pcolor(squeeze(WE1(Nx/2:Nx,:,1)).');shading flat; colorbar; axis square | 
| 158 | 
  | 
  | 
% set(gca,'DataAspectRatio',[2,2,2]) | 
| 159 | 
  | 
  | 
%title('Ek, smooth'); | 
| 160 | 
  | 
  | 
%figure | 
| 161 | 
  | 
  | 
 | 
| 162 | 
  | 
  | 
%pcolor(meanw(Nx/2:Nx,:,3).');shading flat; colorbar; axis square | 
| 163 | 
  | 
  | 
%set(gca,'DataAspectRatio',[2,2,2]) | 
| 164 | 
  | 
  | 
%title('Ek'); | 
| 165 | 
  | 
  | 
figure | 
| 166 | 
  | 
  | 
 | 
| 167 | 
  | 
  | 
subplot('position',[0.15 0.05 0.7 0.5]) | 
| 168 | 
  | 
  | 
WS1(1:Nx,:,1)=-WS1(1:Nx,:,1)*16667; | 
| 169 | 
  | 
  | 
a=max(max(WS1(1:Nx,:,1))); | 
| 170 | 
  | 
  | 
pcolor(squeeze(WS1(1:Nx,:,1)).');caxis([0 a]);shading flat;colormap('default');  | 
| 171 | 
  | 
  | 
set(gca,'DataAspectRatio',[2,2,2]) | 
| 172 | 
  | 
  | 
set(gca,'Xtick',[1 100],'XtickLabel','|') | 
| 173 | 
  | 
  | 
set(gca,'Ytick',[1 120],'YtickLabel','|') | 
| 174 | 
  | 
  | 
title('w^*','FontSize',20); | 
| 175 | 
  | 
  | 
xlabel('x','Fontsize',20); | 
| 176 | 
  | 
  | 
ylabel('y','Fontsize',20,'Rotation',[0]); | 
| 177 | 
  | 
  | 
 | 
| 178 | 
  | 
  | 
 | 
| 179 | 
  | 
  | 
we | 
| 180 | 
  | 
  | 
ws | 
| 181 | 
  | 
  | 
 |