Weixiong, 

The initial description might be misleading. What I tried to do is 
> repeatedly set manifolds for circles on X-Y plane. Now I use STL container 
> to contain different pointers of SphericalManifold instance and 
> correspondingly assign distinct manifold ids, it worked out. But it might 
> be a non-smart way. See the attachment for a small demo of the geometry I 
> created based on the idea.
>
from the documentation of 
CylindricalManifold(https://www.dealii.org/developer/doxygen/deal.II/classCylindricalManifold.html):
"This function will throw a compile time exception whenever spacedim is not 
equal to three."
Hence, you are clearly doing the right thing by using SphericalManifold 
instead.

Best,
Daniel

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