Mesh compatibility at surfaces' intersection

Hello everyone,

I’m encountering an issue and I need your assistance. How would you go about creating meshes for two surfaces that share common edges in order to make the meshes compatible at these shared edges? I’m struggling to find a standard procedure for this task. Ultimately, I aim to create connections between multiple pipes, ensuring that the mesh for each surface is compatible at the shared edges.

Even when working with a polysurface, I’ve been unable to create meshes that are compatible at the common edges. I’ve attached a file containing two intersecting pipes, but despite spending days on it, I haven’t been able to figure out how to create such a simple mesh.

If you could please help, I’d greatly appreciate it. Thank you very much in advance.

Note: I did ask a similar question before and someone kindly answered it.
[Mesh compatibility between 2 surfaces - #5 by nguyentiencuong]
However, the solution in that post is not working in my current case.

Best regards,
NT

intersection Surfaces Mesh Compatibility.3dm (234.4 KB)