Chucui, the mesh you are showing degenerates close to the midpoint. This isvery likely not what you wan't. For the inner part something like shown in https://www.dealii.org/developer/doxygen/deal.II/classTransfiniteInterpolationManifold.html would be a good idea. Then for the middle part GridGenerator::hyper_cube_with_cylindrical_hole (https://www.dealii.org/9.0.0/doxygen/deal.II/namespaceGridGenerator.html#add14cab546d033c1eaacc9234c64ebcd) should work, you just have to make sure that the vertices align when merging the two meshes via GridGenerator::merge_triangulations (https://www.dealii.org/developer/doxygen/deal.II/namespaceGridGenerator.html#a7cd88e7eacd46697dee80ad2b8438d54). Make sure too choose copy_manifold_ids if you are using a developer version or set the manifold ids after creating and merging the whole mesh. Finally, for the outer part you would just merge some GridGenerator::subdivided_hyper_rectangle (https://www.dealii.org/developer/doxygen/deal.II/namespaceGridGenerator.html#ac76417d7404b75cf53c732f456e6e971). Again make sure that the verices align and make sure the manifold ids are correct after merging all the meshes.
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