A Finite Element Method for an Averaged Multiphase Flow Model
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Bibliographic record
Abstract
The paper discusses a numerical method for solving a two-phase flow model based on the interpenetrating continual hypothesis. The model incorporates terms to account for the effects of virtual mass force, different pressures for the two phases and the viscous dissipation. Our numerical scheme extends the incremental projection scheme for the incompressible Navier–stokes equations towards multiphase flows. An optimal stability is obtained by slightly modifying the Galerkin formulation. The stabilized Galerkin technique is based on a two-level hierarchical decomposition of the approximation space. Numerical simulations of three-dimensional bubbly flows in a periodic domain are presented. These simulations are compared with experimental data. The stability of a periodic flow with respect to 3D perturbations is studied numerically, and a discussion of the results is presented.
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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 | 0.001 | 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 | 0.000 |
| 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