A Linear Eddy Model-based approach to modelling the probability density function of an aging progress variable for turbulent premixed and partially-premixed combustion
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Bibliographic record
Abstract
Probability density functions (PDFs) are built for a range of mean and variance of an aging progress variable (APV) in a turbulent methane premixed flame. The data are generated with the Linear Eddy Model, which is a one-dimensional representation of turbulence, applied to a one-dimensional flame. PDFs are constructed based on the average of the inverse of the gradient of the APV over many LEM realisations, following an adaptation of the Modified Laminar Flamelet method. In the region of the domain where reactions happen on a bigger timescale and the progress variable is only aging, the PDF is showed to match the bell curve and is eventually replaced by a Gaussian. Ultimately, the inner product of the PDF with the conditional average of the APV source-term is calculated. The results are compared with the MLF-PDF and a β-PDF. The procedure is then extended to a range of equivalence ratios between the upper and lower limits of flammability. Results show that the MLF-PDF is close to the LEM-PDF for the range studied. The β-PDF, however, displays a larger departure from the LEM-PDF.
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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 | 0.002 | 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