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Draft: Generalize the OneD grid to arbitrary dimensions

Simon Praetorius requested to merge feature/oned-embedded-grid into master


In several applications I need a 1d grid to describe curves embedded into R^n or into another manifold. The OneDGrid is not directly usable, since it describes just a real interval. One needs a GeometryGrid or a CurvedGrid to transform this into an embedded curve. Closed curves would then still be complicated. This MR tries to extend the current implementation of OneDGrid into a 1d grid with a dimensionworld >= 1. Essentially this means that the coordinate are now FieldVector<ctype,dimw>.


There are a few things that need to be checked, e.g.

  • Some ordering of the vertices is used in the implementation. This is not so easy in embedded coordinates. Maybe it is not needed at all.
  • In the current implementation some templates are precompiled (explicitly instantiated). This might not be necessary, or just for the 1d-1d case.
Edited by Simon Praetorius

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