Cell data vs. point data for high-order Lagrange cells

ParaView Support
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  1. Cell Data implies one value per Lagrange cell. You can may use CellData to visualize the cell average of your data. There is no need to use CellData in combination with PointData.

  2. It all depends on whether you want to duplicate points or not in your vtu files. If you do not duplicate points (nodes of the Lagrange cells are unique at element interfaces) then you may observe some artifacts if your simulation data is under-resolved, since you are enforcing continuity. If you duplicate points (nodes of the Lagrange cells are duplicated at element interfaces) then you might see visualizing artifacts related to z-buffering issues