Algorithmic Advanced for the Adaptive Non-Linear Frequency Domain Method.
Why this work is in the frame
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Bibliographic record
Abstract
An innovative implicit approach for the adaptive Nonlinear Frequency Domain method (adaptive NLFD) has been introduced for the Navier-Stokes equations on deformable grids. It has been shown that for a periodic ow problem, a huge reduction in the computational costs and a spectral temporal accuracy of the results could be achieved by solving the ow governing equations in the frequency instead of the time domain. This computational e ciency may be even further enhanced through an adaptive modal augmentation of the Fourier series representing the local ow solution. In the present study, to accelerate the convergence rate, an innovative modi ed nonlinear LU-SGS technique is proposed, where the modes are updated in a segregate fashion. The unique and important outcome of this implementation is that the computational e ciency of the solver does not decrease as the number of modes increases. Results are presented for the laminar vortex shedding behind a stationary cylinder, a stationary transonic airfoil, and a plunging airfoil and are compared with previous numerical results as well as experimental data.
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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 | 0.001 | 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 | 0.002 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 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