Generating stretched cartesian grid for lid driven cavity numerical simulation

Hi, I'm trying to generate a stretched cartesian grid for lid driven cavity numerical simulation in matlab. So, in a rectangular domain, points/nodes will be closer to each other near the wall compared to mid region of the domain.

How can I generate such a vector? If I have such a vector, then I can generate the grid either with delaunay or meshgrid functions.

Thank you.

Answer 1

[Star Strider]

Here is one option:

t = linspace(-pi, pi, 50);
v = cos(t);

figure(1)
plot(t, v);

[X,Y] = meshgrid(v);
Z = ones(size(X));

figure(2)
mesh(X, Y, Z)
grid on

Experiment to get the result you want.