Simulating vortex ring collisions: extending the hybrid method
Bibliographic record
Abstract
Vortex filaments are isolated tubes of vorticity, the behaviour of which is important to the understanding of the fluid flows they are found in. Vortex reconnection, the change in filament topology when filaments collide, is a particular phenomenon that cannot be modelled by the traditional vortex method, which leads (Ghuneim, 2002) to integrate it with the level set method. However, the computational complexity of this method's traditional implementation severly limits the types of simulations possible. Motivated by this, we propose a new level set implementation that stores voxels in a tree data structure such that neighborhood relationships are recursively encoded. We then modify the hybrid method to use this data structure, allowing for longer, more expansive, accurate and versatile filament evolutions. A simpler mechanism for handling reconnections is also proposed. We demonstrate the advantages of the extended hybrid method and the new level set implementation with simulations of a variety of laboratory filament evolutions with reconnection events.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.003 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.002 |
| 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".