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- W2331759907 abstract "A new mesh-to-mesh data transfer operator for unstructured multigrid methods is presented. The new algorithm integrates piecewise continuous (reconstructed) data defined on a source mesh over the control volumes of a target mesh. Analysis in one dimensions and numerical experiments in two dimensions demonstrate that this approach significantly reduces data transfer errors when compared to interpolation or agglomeration transfer algorithms, especially when transfering low-frequency data from coarse to fine meshes. It was expected that improved data transfer would translate into improved multigrid convergence rates. For Laplace's equation in one dimension, improvement of 10-15% was seen, while in two dimensions, improvement was about 2%. For the Euler equations in two dimensions, improvement in convergence rate was essentially zero. Possible reasons for this poor performance include insufficient coarse mesh convergence, the presence of high-frequency error modes, and subtle differences in the implementation of multigrid schemes with different data transfer operators. All present indications are that improving meshto-mesh data transfer does not have nearly as significant an effect on convergence rate as modest improvements in smoothing techniques on a single mesh. Even given the advanced state-ofthe-art in smoothing techniques, that arena is" @default.
- W2331759907 created "2016-06-24" @default.
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- W2331759907 date "1997-06-29" @default.
- W2331759907 modified "2023-09-24" @default.
- W2331759907 title "On mesh-to-mesh transfer operators for unstructured multigrid solvers" @default.
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- W2331759907 doi "https://doi.org/10.2514/6.1997-2026" @default.
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