Multiphase periodic pressure difference boundary condition enhanced by a proportional‐integral‐derivative controller for the lattice Boltzmann method
Bibliographic record
Abstract
Summary A new pressure difference boundary condition between a pair of inlet and outlet boundaries in an immiscible multiphase periodic flow is introduced. This boundary condition is globally mass conservative and makes use of a simple proportional‐integral‐derivative controller to accurately control the pressure difference. For a droplet/bubble that crosses the outlet to reenter at the inlet of a periodic slit flow, the stability and accuracy of the boundary condition are numerically studied for a wide range of flow conditions. A visualization of a droplet crossing the outlet boundary provides qualitative evidence that the boundary condition works effectively. More importantly, quantitative results also confirm that the targeted average pressure difference is adequately set and that the total momentum in the pressure drop direction is nearly constant (which is what is expected from a perfect multiphase periodic pressure difference boundary condition). This new type of multiphase boundary condition is expected to open up new avenues to simulate complex interfacial multiphase systems using the lattice Boltzmann method.
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 | 0.003 |
| 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 | 0.001 | 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 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".