An ALE/FE formulation for high precision interface tracking in separated multiphase flows
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Bibliographic record
Abstract
We present an Arbitrary Lagrangian Eulerian/Finite Element (ALE/FE) formulation to simulate flows with sharp interfaces between several fluids or phases. The proposed numerical approach relies on the explicit representation of interfaces as a collection of inner mesh edges and the direct tracking of the time evolution of these interfaces. The ALE/FE formulation allows for the use of high-order time integrators within a hp-adaptive time integration procedure already developed for single phase flows. The kinematic and dynamic conditions across interfaces are enforced with the use of zero-thickness interfacial finiteelement along interfaces. We consider both linear (P1) and quadratic (P2) finite element discretization. The simulation of very large deformation of interfaces is rendered possible by the use of an adaptive remeshing algorithm. The method is applied to the prediction of the propagation of solitary waves in basins with constant and variable bathymetry as well as the simulation of the Rayleigh-Taylor instability.
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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 | 0.000 | 0.000 |
| 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 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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