How to create 2D Polar (r, theta) mesh?

I want to create a 2D polar mesh for finite element analysis of droplet evaporation.

Similar to above image. Please give any suggestion on droplet evaporation also if you know something about it.

Answer 1

[Bjorn Gustavsson]

What's not good enough with something like this:

n_phi = 15
phi = linspace(0,pi/2,n_phi+1); % should give you 15+1 edges and 15 angular regions
n_r = 12; 
r_min = 1;
r_max = 23;
r = linspace(r_min,r_max,n_r+1);
[Phi,R] = meshgrid(phi,r);
X = R.*cos(Phi);
Y = R.*sin(Phi);

That will give you the radial and angular mesh in R and Phi and their Cartesian coordinates in X and Y.

HTH

[Adam Danz]

+1, but

[Phi,R] = meshgrid(phi,R);
%                      ^ should be 'r'

[Bjorn Gustavsson]

Oops. 50% of Knuth's(?) "correct but not tested"...

[Aman Jaiswal]

So how can I perform finite element analysis using X and Y vectors you have created? Can you suggest any method in matlab or any tutorial.

[Adam Danz]

I'm sure there are tutorials that Google would find if you searched for it.