Asked by Josh Ezekiel
on 12 Oct 2019

while t<=tf

for i=2:Nx

for j=2:Ny

T(i,j) =T(i,j)+dt*alpha*(((T(i-1,j)-2*T(i,j)+T(i+1,j))/dx^2)+((T(i,j-1)-2*T(i,j)+T(i,j+1))/dy^2));

history_T=cat(3,history_T,T);

end

end

t=t+dt;

X=[0:0.05:1];

Y=[0:0.05:1];

%% PLOT

surf(X,Y,T)

pause(0.01)

%% FORMATING ELEMENTS

xlabel('Width, $m$','Interpreter','Latex')

ylabel('Depth, $m$','Interpreter','Latex')

zlabel('Temperature, $T$','Interpreter','Latex')

xlim([0 Lx])

ylim([0 Ly])

zlim([0 100])

set (gca,'FontSize',10,'FontName','Times')

set(gcf,'color','w');

end

Where X and Y are row vectors and T is a matrix with dimensions (length(X),length(Y). T updated with every repitition of the while loop, producing a surf plot that changes accordingly.

The plot appears with default formatting until the final iteration where it formats it as I intend.

How can I instruct MATLAB to keep the formatting elements constant throught the iteration?

Many thanks.

Answer by Divya Yerraguntla
on 16 Oct 2019

Hi Josh,

Try placing the pause(0.01) line of code after %% Formating elements section i.e. after the set(gcf,'color,'w') and not after the surf(X,Y,T). This actually helps in pausing and viewing the surf plot after all the required formatting is done.

Hope it works!

Josh Ezekiel
on 16 Oct 2019

Hi Divya,

Thank you for the response. I have implemented your suggestion into my code, however the result seems to be more of a 'work around' rather than a fix. The formatting elements of the figure (axis titles, font, font size, etc...) do indeed visibly change, however the latency associated with the generation of each figure--not the 0.01s pause--causes these elements to jitter rapidly. I was wondering whether there was a way of setting the default formatting elements so the only element of the figure that appears to change is the surf(X,Y,T) itself.

Many thanks.

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Answer by darova
on 16 Oct 2019

Use hold on command

%% FORMATING ELEMENTS

figure(1)

xlabel('Width, $m$','Interpreter','Latex')

ylabel('Depth, $m$','Interpreter','Latex')

zlabel('Temperature, $T$','Interpreter','Latex')

xlim([0 Lx])

ylim([0 Ly])

zlim([0 100])

set (gca,'FontSize',10,'FontName','Times')

set(gcf,'color','w');

hold on

while

h = surf(X,Y,T);

pause(0.01)

delete(h);

end

hold off

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