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Plotting a given velocity field (vortex flow)

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Hi all,
I am trying to plot following u_x and u_y functions, which are the x and y components of a velocity field.
The results should look like a vortex, as can be seen in the attached picture which I took from "wolframalpha.com" when I tried to compare my results.
However, instead such a simle 2D vortex I get complex velocity field which is also attached here.
I suspect it is due to wrong initialiazing the domain or wrong usage domain values in the "for loop", which is shown in the end of this message.
Could you please suggest me any possible solution.
I appreciate your time.
  댓글 수: 2
Mammadbaghir Baghirzade
Thank you for your reply.
I did plot these functions, however, I got complex result as in the attached.
But instead I need to get something like following. And I can not get such simple vortex flow.

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Ameer Hamza
Ameer Hamza 25 Apr 2020
편집: Ameer Hamza 25 Apr 2020
try this
x = 0:0.1:3;
y = 0:0.1:3;
[X,Y] = meshgrid(x,y);
Psi = (1/pi)*sin(pi*X).^2.*sin(pi*Y).^2;
u_x = 2*(sin(pi*X).^2).*(sin(pi*Y)).*(cos(pi*Y));
u_y = -2*(sin(pi*Y).^2).*(sin(pi*X)).*(cos(pi*X));
figure;
contourf(X,Y,Psi)
title('velocity field intensity')
figure;
quiver(X,Y,u_x,u_y)
title('velocity field direction')
  댓글 수: 4
Ameer Hamza
Ameer Hamza 26 Apr 2020
I am glad to be of help.

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