How to generate a Cartesian 2D Mesh using MATLAB

Hi everyone,

I am working on a Final Year Project, where I am asked to develop a 2D Cartesian Mesh with a Moving boundary and validate the mesh using a number of simple flow geometries.

I have decided to use MATLAB to generate the mesh, but all I can do is to generate the mesh using the "meshgrid' function. I could not figure out a way to call/refer the nodes and apply the Cut-Cell Approach. Is there a way that you could actually refer to the nodes in the mesh?

Can anyone help me on how to create a simple Cartesian mesh or guide me with any relevant resources that can be of some help ,please?

Any reply on this matter would be highly appreciated.

Awaiting your assistance, Sujith

[Patrik Ek]

meshgrid? You surely must have found this already. If this does not help you, further explanation is needed.

[Sujith Subramanian]

Thanks for your reply Patrik.

I will explain what I am looking to develop using MATLAB.

I am looking to create the 2D geometry of a Piston in a cylinder and then "mesh" the geometry using the "cartesian cut-cell approach"( Which is just basically chamfering the corners and merging the cut cells in the domain by identifying the node points in the mesh).

If you look into the image I have attached below, the green region refers to the geometry of a piston in a cylinder which I have created using the plot function. The rest of the geometry(next to the green region) is the geometry of the cylinder. (Assume the piston moves in the x-axis direction)

I want to instruct MATLAB to mesh this geometry in 2-D and then apply the Cut Cell Approach I have described above to this mesh. I understand this would require developing an algorithm in MATLAB but I could not figure out a way to do this.

I hope this explains my question a bit clearly. Please let me know if you can help me with it, I would really appreciate it.

Awaiting your reply, Sujith

[Patrik Ek]

Ok so you are not just trying to create a mesh like a matrix?

mtx = [3,3,3;
       2 2 3;
       1,2,3];

but rather some kind of mesh object? Not just

q = mesh([1 2 3]);
max(q,flipud(q.'));

[Sujith Subramanian]

Hi Patrik,

That is exactly what I was looking to create. I finally figured how to do that using MATLAB. Thank you so much for helping me out and I am very sorry for confusing you with my questions. I just couldn't convey you what I was trying to say. Sorry buddy!

Have a good day, Sujith