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No, pygmsh only does unstructured meshes (gmsh as well, afaik). The reason for this is the structured meshes can be constructed rather easily by hand. Check out meshzoo for example.
Gmsh does have some facilities for structured grids; see §6.3 ‘Structured grids’. (Not necessarily applicable to spherical lunes.) The main facility is the Layers keyword in the Extrude command. There's a proposal from @SamMallinson which begins to add this to PyGmsh in #85 .
Is it possible to create a structured mesh of a spherical lune using pygmsh ?
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