Automatic adaptive remeshing for unsteady interfacial flows with surface tension
Bibliographic record
Abstract
We demonstrate the capabilities of an automatic, adaptive, local or global, remeshing algorithm developed for flows with interfaces and/or moving boundaries by using it in the context of two-dimensional unsteady interfacial flows with surface tension. Our formulation solves the Navier-Stokes equations using the finite element method, a front-tracking approach to represent the interface and an Arbitrary Lagragian-Eulerian formulation coupled with a pseudo-solid approach to handle the deformation of the underlying computational grid. Verification and validation cases are run to ensure that the code correctly implements the right equations for the problems at hand and that physically-meaningful results can be obtained with the models and methods used. The capabilities of the algorithm in handling large-scale displacements and deformations of the fluid-fluid interfaces and its ability to efficiently and accurately capture the small-scale, high-frequency phenomena that appear in this class of problems is investigated on two problems which feature Rayleigh-Taylor and Kelvin-Helmholtz instabilities.
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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 | 0.002 |
| 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 | 0.001 |
| Scholarly communication | 0.000 | 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".