[Dune] Understanding LocalGeometry

[Aleksejs Fomins]

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Dear Dune,

I am trying to understand what is a LocalGeometry object that is
returned by, for example, intersection.geometryInInside(). As in, what
is the difference between Geometry and LocalGeometry classes?

If I were to guess, I'd say that LocalGeometry is the geometry class
implementation for a reference element coordinates, for example
{(0,0,0) (1,0,0) (0,1,0) (0,0,1) } for a tetrahedron.

Now I could in principle define
LocalGeometry = CachedCurvilinearGeometry<interp_order = 1>, but is
this what is expected? I mean, the machinery of this class is way too
heavy and unnecessary for the purposes of a simple linear geometry.

How is this class usually defined in other grid managers. Is there
some standard ReferenceGeometry or sth that can be used for this purpose?

Cheers,
Aleksejs
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