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    • Carsten Gräser's avatar
      Add FaceNormalGridFunction · 10f694c7
      Carsten Gräser authored
      This implements element normals as (discontinuous) grid function.
      When evaluated at a point `x` of an element `e`, it computes the
      unit outward normal of the 'closest face' of this element.
      
      * The 'closes face' is determined in local coordinates within the
        reference elements.
      * The implementation also works for curved faces, since the normal
        of the real element is computed using the (potentially non-constant)
        covariant Piola transformation of the (constante) normal in the
        reference element.
      * Notice that the function is an L^2 function in general. It is
        defined piecewise with non-unique value on intersections.
        On elements, with affine geometries, it is piecewise constant.
      * This also adds a test checking for consistency with
        `intersection.unitOuterNormal()` when restricting the function
        to `intersection`. A grid with distorted cubes serves as test case
        for non-constant normals.
      * This satisfied the standard grid function interface. Extending this
        to an interface for skeleton functions to be bound on intersections
        may be interesting. But such an interface was not defined so far.
      10f694c7
  13. 06 Nov, 2021 1 commit
  14. 03 Nov, 2021 3 commits