AN EFFICIENT SOLUTION SCHEME FOR APPLYING THE INTEGRAL-TYPE DYNAMIC LOCALIZATION SUBGRID-SCALE MODEL IN TURBULENCE WITH HOMOGENEOUS DIRECTIONS
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Bibliographic record
Abstract
The conventional integral-type dynamic localization subgrid-scale stress model is a Fredholm integral equation of the second kind. This model is mathematically consistent, but it has not been widely used in the large-eddy simulation community due to the relatively high computational cost of solving the Fredholm integral equation using an iterative scheme. In this article, a direct solution scheme based on a discrete Gaussian filter is developed to solve the integral system for turbulent flow with homogeneous dimensions. The proposed direct solution scheme is computationally efficient and makes the integral-type dynamic localization subgrid-scale stress model affordable. Turbulent Couette flows with Reynolds numbers of 2,600 and 4,762 are used in numerical simulations to validate the proposed approach.
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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