1 |
% PV diagnostics 'DIAG4' |
2 |
|
3 |
sumM=zeros(Nx,Ny); |
4 |
sumD=zeros(Nx,Ny); |
5 |
sumW=zeros(Nx,Ny); |
6 |
|
7 |
dz=0.005; |
8 |
|
9 |
% DEFINE BOX OF INTEGRATION |
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Nx1=4; |
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Nx2=Nx-3; |
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Ny1=4; |
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Ny2=Ny-3; |
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Nz1=5; |
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Nz2=Nz-4; |
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pv1=pv; |
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Mp1=Mp; |
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Dp1=Dp; |
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z=zeros(Nz,1); |
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for k=1:Nz, |
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z(k)=(k-1)*dz; |
22 |
end |
23 |
|
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for i=1:Nx, |
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for j=1:Ny; |
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Mp1(i,j,find(z > h(i,j)))=0.*Mp1(i,j,find(z > h(i,j))); |
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Dp1(i,j,find(z > h(i,j)))=0.*Dp1(i,j,find(z > h(i,j))); |
28 |
end |
29 |
end |
30 |
|
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ii=find((Nz1-1)*dz > h); |
32 |
|
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% pv1=smooth3(pv); |
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% Mp1=smooth3(Mp); |
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% Dp1=smooth3(Dp); |
36 |
|
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% for kk=1:4 |
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% pv=smooth3(pv); |
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% Mp=smooth3(Mp); |
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% Dp=smooth3(Dp); |
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% end |
42 |
|
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for k=Nz1:Nz2 |
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if k==Nz1 |
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a=0.5; |
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elseif k==Nz2 |
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a=0.5; |
48 |
else |
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a=1; |
50 |
end |
51 |
|
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sumM(3:Nx-2,3:Ny-2)=sumM(3:Nx-2,3:Ny-2)+a*Mp1(3:Nx-2,3:Ny-2,k)*dz; |
53 |
sumD(3:Nx-2,3:Ny-2)=sumD(3:Nx-2,3:Ny-2)+a*Dp1(3:Nx-2,3:Ny-2,k)*dz; |
54 |
end |
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sumW(3:Nx-2,3:Ny-2)=meanw(3:Nx-2,3:Ny-2,Nz1).*pv1(3:Nx-2,3:Ny-2,Nz1); |
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sumW(ii)=0.*sumW(ii); |
57 |
|
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for k=1:3 |
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sumM1(:,:,k)=sumM(:,:); |
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sumD1(:,:,k)=sumD(:,:); |
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sumW1(:,:,k)=sumW(:,:); |
62 |
end |
63 |
|
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for k=1:25 |
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|
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sumM1=smooth3(sumM1); |
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sumD1=smooth3(sumD1); |
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%sumW1=smooth3(sumW1); |
69 |
end |
70 |
|
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V=[0.25*min(min(sumW(Nx1+2:Nx2,Ny1:Ny2-4))) 0]; |
72 |
|
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% title='Vorticity input'; |
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% imagesc(lat,long,sumW(Nx1:Nx2,Ny1:Ny2)');shading flat;caxis(V);axis image;colorbar('vertical'); |
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% set(gca,'ydir','norm') |
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% text(0,110,title); |
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%figure |
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v=zeros(10,1); |
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v1=zeros(10,1); |
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for i=1:10 |
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%v(i)=-0.1*(i-0.5)*7; |
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%v1(i)=0.1*(i-0.5)*7; |
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v(i)=-0.01*(i); |
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v1(i)=0.01*(i); |
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end |
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|
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% contour(squeeze(sumW1(Nx1:Nx2,Ny1:Ny2,1))',v) |
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% hold on |
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% contour(squeeze(sumW1(Nx1:Nx2,Ny1:Ny2,1))',v1,'--') |
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% hold off |
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% text(20,0,'countour interval is 0.7 in the non-dimensional units'); |
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% text(20,95,'Vorticity input','Fontsize',16); |
93 |
|
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%figure |
95 |
|
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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))))]; |
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% title='Buoyancy diffusion integral'; |
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% imagesc(lat,long,sumD(Nx1:Nx2,Ny1:Ny2)');shading flat;caxis(V);axis image;colorbar('vertical'); |
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% set(gca,'ydir','norm') |
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% text(0,110,title); |
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|
102 |
|
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% figure |
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x=Nx1:Nx2; |
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y=Ny1:Ny2; |
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subplot(2,1,1) |
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contour(x,y,squeeze(sumD1(Nx1:Nx2,Ny1:Ny2,1))',v) |
108 |
hold on |
109 |
contour(x,y,squeeze(sumD1(Nx1:Nx2,Ny1:Ny2,1))',v1,'--') |
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text(10,Ny2+5,'Buoyancy eddy-transfer integral','Fontsize',13); |
111 |
hold off |
112 |
xlabel('X (gridpoints)') |
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ylabel('Y (gridpoints)') |
114 |
set(gca,'DataAspectRatio',[2,2,2]) |
115 |
|
116 |
%figure |
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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))))]; |
118 |
% title='Momentum eddy-transfer integral'; |
119 |
% imagesc(lat,long,sumM(Nx1:Nx2,Ny1:Ny2)');shading flat;caxis(V);axis image;colorbar('vertical'); |
120 |
% set(gca,'ydir','norm') |
121 |
% text(0,110,title); |
122 |
|
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subplot(2,1,2) |
124 |
contour(x,y,squeeze(sumM1(Nx1:Nx2,Ny1:Ny2,1))',v) |
125 |
|
126 |
set(gca,'DataAspectRatio',[1,1,1]) |
127 |
text(10,Ny2+5,'Momentum eddy-transfer integral','Fontsize',13); |
128 |
hold on |
129 |
contour(x,y,squeeze(sumM1(Nx1:Nx2,Ny1:Ny2,1))',v1,'--') |
130 |
hold off |
131 |
xlabel('X (gridpoints)') |
132 |
ylabel('Y (gridpoints)') |
133 |
text(40,-20,'countour interval - 0.01 (non-dimensional units)','FontSize',7); |
134 |
% text(40,-30,'negative values - solid line','FontSize',7); |
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% text(40,-35,'positive values - dashed line','FontSize',7); |
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|
137 |
|
138 |
|
139 |
%-----TEST------------------------------------------------- |
140 |
|
141 |
sum=0; |
142 |
sumT=0; |
143 |
sumY=0; |
144 |
for i=Nx1:Nx2 |
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for j=Ny1:Ny2 |
146 |
sum=sum+meanw(i,j,Nz1)*pv(i,j,Nz1)*dx*dy; |
147 |
sumT=sum-meanw(i,j,Nz2)*pv(i,j,Nz2)*dx*dy; |
148 |
end |
149 |
end |
150 |
|
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for j=Ny1:Ny2 |
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for k=Nz1:Nz2 |
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sumT=sumT+meanu(Nx2,j,k)*pv(Nx2,j,k)*dz*dy; |
154 |
sumT=sumT-meanu(Nx1,j,k)*pv(Nx1,j,k)*dz*dy; |
155 |
end |
156 |
end |
157 |
|
158 |
for i=Nx1:Nx2 |
159 |
for k=Nz1:Nz2 |
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sumT=sumT+meanv(i,Ny2,k)*pv(i,Ny2,k)*dz*dx; |
161 |
sumY=sumY+meanv(i,Ny2,k)*pv(i,Ny2,k)*dz*dx; |
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sumT=sumT-meanv(i,Ny1,k)*pv(i,Ny1,k)*dz*dx; |
163 |
end |
164 |
end |
165 |
'VORTICITY GENERATION' |
166 |
sum |
167 |
sumY |
168 |
sumT |
169 |
|
170 |
|
171 |
sum=0; |
172 |
sumWW=0; |
173 |
for i=Nx1:Nx2 |
174 |
for j=Ny1:Ny2 |
175 |
if i==Nx1 |
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a=0.5; |
177 |
elseif i==Nx2 |
178 |
a=0.5; |
179 |
else |
180 |
a=1; |
181 |
end |
182 |
|
183 |
if j==Ny1 |
184 |
b=0.5; |
185 |
elseif j==Ny2 |
186 |
b=0.5; |
187 |
else |
188 |
b=1; |
189 |
end |
190 |
|
191 |
sum=sum+a*b*sumD(i,j)*dx*dy; |
192 |
sumWW=sumWW+a*b*sumW(i,j)*dx*dy; |
193 |
end |
194 |
end |
195 |
'DISSIPATION BY EDDY-DIFFUSIVITY' |
196 |
sum |
197 |
sumWW |
198 |
|
199 |
sum=0; |
200 |
for i=Nx1:Nx2 |
201 |
for j=Ny1:Ny2 |
202 |
if i==Nx1 |
203 |
a=0.5; |
204 |
elseif i==Nx2 |
205 |
a=0.5; |
206 |
else |
207 |
a=1; |
208 |
end |
209 |
|
210 |
if j==Ny1 |
211 |
b=0.5; |
212 |
elseif j==Ny2 |
213 |
b=0.5; |
214 |
else |
215 |
b=1; |
216 |
end |
217 |
|
218 |
sum=sum+a*b*sumM(i,j)*dx*dy; |
219 |
end |
220 |
end |
221 |
'DISSIPATION BY EDDY-VISCOSITY' |
222 |
sum |