I am working with an octree mesh where variables are stored in a collocated fashion at octant centers. I want to construct a lookup table for interpolation weights that may occur using only a cell and it's immediately adjacent neighbor leaf cells. There are a specific number of neighbor configurations since each neighbor is only allowed to be 1 level coarser or finer than the cell for which an interpolation is required, and I want to specify a unique table id for each configuration. Figure 4 in the paper below shows pretty clearly what I mean by surrounding cell configuration.


Is there an algorithm/accepted way to enumerate these cases?


Your question is too terse to really understand what it is you're looking for. That said, the paper that you should look at is this one by Burstedde et al.: http://epubs.siam.org/doi/abs/10.1137/100791634 It describes the p4est library and has all sorts of algorithms to traverse octrees.

  • $\begingroup$ I edited my question. I hope this makes it clear what I am asking. $\endgroup$ Apr 4 '13 at 3:10

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