Dear Wolfgang,
thanks a lot for you answer. My goal would be able to reproduce images like 
these ones, which are a cross-section at a fixed latitude. Hence, I coulde 
use 'slice' type functions if I have spherical coordinates, but not with 
Cartesian ones.

Best,
Giuseppe
[image: Details are in the caption following the image]

Il giorno martedì 4 febbraio 2025 alle 00:16:27 UTC+1 Wolfgang Bangerth ha 
scritto:

>
> Giuseppe:
> > I would have a question about the output when using 
> concentric_hyper_shells
> > <https://nam10.safelinks.protection.outlook.com/? 
> > url=https%3A%2F%2Fwww.dealii.org
> %2Fcurrent%2Fdoxygen%2Fdeal.II%2FnamespaceGridGenerator.html%23abfcc142a9fc905a1abec9315693a57d4&data=05%7C02%7CWolfgang.Bangerth%
> 40colostate.edu
> %7C43b61d1e63844cc265d608dd44815d28%7Cafb58802ff7a4bb1ab21367ff2ecfc8b%7C0%7C0%7C638742044588214483%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=J10wlQXEiI3DD5tP3evjf9bxQpJG6zAiG5Vy3E4G0L0%3D&reserved=0>
> > Is there any function that automatically can obtain and save in output 
> the 
> > spherical coordinates as well as the cartesian ones? This would be very 
> useful 
> > to lot some slices.
>
> There is no such function. DataOut and all other functions I know of 
> simply 
> output data using the coordinates of the vertices (perhaps modified by a 
> mapping, but otherwise as is). There is no easy way to modify coordinates 
> during graphical output. You are probably better off doing the 
> transformation 
> in Visit or Paraview.
>
> Perhaps if you explain what it is you actually want to do we can suggest 
> other 
> things too.
>
>
> > Moreover, I take the opportunity for another question. Is there any 
> > advancement in the matrix-free infrastructure when space_dim = dim - 1, 
> as in 
> > hyper_sphere <https://nam10.safelinks.protection.outlook.com/? 
> > url=https%3A%2F%2Fwww.dealii.org
> %2Fcurrent%2Fdoxygen%2Fdeal.II%2FnamespaceGridGenerator.html%23ab2dc2f16fc52cf1e51b9afdc4264ac70&data=05%7C02%7CWolfgang.Bangerth%
> 40colostate.edu
> %7C43b61d1e63844cc265d608dd44815d28%7Cafb58802ff7a4bb1ab21367ff2ecfc8b%7C0%7C0%7C638742044588241438%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=qn2kDHNAb3K8TlUUoEGnYvEQYZQbajGnqRvrfosVC4U%3D&reserved=0>?
>
> I'll leave this question to those more familiar with the matrix free 
> framework.
>
> Best
> W.
>
>

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