The overall problem of elucidating the interaction between mesh and solution is large and complex. Recent work by Carl Ollivier-Gooch of the University of British Columbia seeks to address a small but important part of the problem, that of determining whether a sequence of meshes truly constitutes a mesh refinement sequence for a mesh convergence study. Two meshes are said to form an ideal refinement pair if their cell sizes are uniformly proportional across the entire domain, and if cell aspect ratio and orientation are the same in anisotropic regions of the mesh.
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