Validation of a three-dimensional vortex particle method for fluid flows
Bibliographic record
Abstract
In the context of complex vortex dynamics and interactions studies, an algorithm based on vortex particle methods is developed while a set of validation tests and a detailed comparison with a pseudospectral code are presented. The two physical problems considered are the isolated Lamb-Oseen tube (case A) and the antiparallel tubes (Crow instability, case B). The objectives of the work are to quantify the influence of the temporal and the spatial resolutions on the solution, to evaluate the numerical diffusion, and to look at the robustness and the ability of the algorithm to handle small tubular scales at a maximum Reynolds number. Finally, for the so-called Crow instability (case B), comparisons between the vortex-in-cell algorithm at 64, 128, and 256 spatial resolutions are carried out with a spectral method, for a Reynolds number of 1500. The results contribute to a better knowledge of the stability, accuracy, and dissipative behaviour of 3D vortex methods for modelling fluid flows.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.004 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| 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 source (direct Gemma or distilled Codex), 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".