Derivation of the full continuous adjoint method based on the k–? SSTturbulence model for turbomachinery shape optimization
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Bibliographic record
Abstract
Abstract: This is an attempt to develop a full continuous adjoint formulation to optimize an industrial turbomachine based on an adjoint solver (adjointOptimisationFoam) in OpenFoam v2206. The adjoint equations are derived using incompressible Navier-Stokes equations and the k-? SST turbulence model. The adjoint equations are first derived from the primary flow equations while the Coriolis force is added to the momentum equation. Then, the desired boundary conditions for the primary flow equations are employed to develop the adjoint boundary conditions while taking Mechanical Power (MP) into account as an objective function. To demonstrate the solver’s capability for shape optimization, a sphere is optimized in terms of drag reduction. According to the results, the optimized sphere indicates a 14% reduction in drag force over the baseline.
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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 | 0.000 |
| 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