It should be noted that the grids produced using this approach usually have
relatively steep gradients at the boundaries between two regions of
- different refinement depths, but refinement can be made very fast. Furthermore, transfer of data between meshes is highly accurate and fast.
+ different refinement depths, but refinement can be made very
+ fast. Furthermore, transfer of data between meshes is highly
+ accurate and fast.
+ <p>
+ (Note: in parts of the literature, the term "structure mesh" is used
+ to indicate that the mesh is actually aligned along coordinate axes,
+ is equispaced, and so on. Sometimes, this is referred to as
+ ijk-meshes, because each grid point is identified with three
+ indices, i, j, and k. Everything else would then be an unstructured
+ grid. We use the weaker definition of "structured" as given above.)
+
</UL>Since the additional information in structured meshes can be favorably
used in multigrid algorithms as well as in the fast generation of new
meshes from a given one, we chose the second approach. Furthermore,