High-Order Reconstruction of Defect Corrected Solutions on Unstructured Meshes
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Bibliographic record
Abstract
View Video Presentation: https://doi.org/10.2514/6.2023-2368.vid In spite of being more efficient than mesh refinement in terms of memory and computational work requirements, higher-order (greater than second-order) methods are not very common in commercial CFD codes because of stability issues. In previous work, we have shown that defect correction with a good estimate of the truncation error is an efficient alternative method in improving the accuracy of the control volume averages from a finite volume solver beyond second-order. In this paper, the higher-order accurate control volume average is used to get a piecewise continuous solution that mimics a higher-order reconstruction, which can be used to get better estimates of output functionals. The treatment of curved boundaries to get higher-order accurate integral functionals is also described.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it