Bibliographic record
Abstract
A large eddy simulation (LES) code is developed from an existing incompressible Navier-Stokes solver based on the finite element method. Taylor-Hood, [special characters omitted], and Crouzeix-Raviart, [special characters omitted], tetrahedral elements are implemented for the spatial discretization. The time discretization uses a second order accurate, semi-implicit, split time advancement scheme. The semi-implicit scheme employs a backward differentiation time integration scheme for the viscous term and the Adams-Bashforth scheme for the convective term. Convergence results in space and time are reported for the variable viscosity Navier-Stokes solver. The Smagorinsky model is implemented for the sub-grid scale approximation. The resulting algebraic system is solved using a matrix-free conjugate gradient iterative method. Results of isotropic decaying turbulence in a triple periodic cube are compared with direct numerical simulation (DNS) and experimental data. Preliminary conclusions regarding the performance of the element-wise divergence-free Crouzeix-Raviart element compared to the Taylor-Hood element which only assures divergence-free in a weak sense (i.e., over the entire domain) are presented.
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How this classification was reachedexpand
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 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".