A free surface updating methodology for marker function‐based Eulerian free surface capturing techniques on unstructured meshes
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Bibliographic record
Abstract
Abstract The numerical modelling of non‐miscible free surface flows using an interface capturing strategy, where a marker function is used to identify each fluid, is popular in the computational science literature. As the marker function is advected by the fluid flow, the region of transition of the marker gets deformed, this being caused by the finite element discretization of the transport equation, the time‐integration scheme and the type of mesh used. The challenge is to update this region of transition at regular time intervals, without artificially creating or losing mass. A methodology is proposed to update the region of transition of the marker variable on unstructured meshes, using a local least‐squares‐based strategy which reduces numerical mass loss. It is shown that this technique proves to be an effective strategy for the updating of an advected marker variable. Copyright © 2004 John Wiley & Sons, Ltd.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| 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 | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it