Adaptive Construction of Model-Consistent Wall Functions for Two-Equation Turbulence Models with Applications
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Bibliographic record
Abstract
This paper presents a cost-effective adaptive remeshing algorithm for constructing model- consistent wall functions for low-Reynods number models of turbulence. Traditional wall functions are obtained by developing algebraic expressions for the dependent variables (u, k, ε) in 1D plane turbulent Couette flow. However, in general, closed form solutions to the Couette flow coupled system of equations can only be obtained by invoking additional approximations whose impact on solution accuracy is difficult to quantify. Numerical solutions of the 1D Couette flow avoids this problem. The resulting tabulated wall functions are fully compatible and consistent with the turbulence model. We have opted for a finite element method based on adaptive remeshing because it yields highly accurate boundary conditions with a small number of optimally placed nodes.
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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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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