An adjoint method augmented with grid sensitivities for aerodynamic optimization
Bibliographic record
Abstract
The discrete adjoint equations for an aerodynamic optimizer are augmented to explicitly include the sensitivities of the grid perturbation. The Newton-Krylov optimizer is paired with grid perturbations via the elasticity method with incremental stiffening. The elasticity method is computationally expensive, but exceptionally robust---high quality grids are produced, even for large shape changes. For the gradient calculation, instead of encompassing grid sensitivities in finite differenced terms for the adjoint equations, they are treated explicitly. This results in additional adjoint equations that must be solved. This augmented adjoint method requires less computational time than a function evaluation, and retains its speed as dimensionality is increased. The accuracy of the augmented adjoint method is excellent, allowing the optimizer to converge more fully. A discussion of the trade-off between lengthy development time and increased performance indicates that the method would be particularly well-suited to complicated three-dimensional configurations.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".