Treatment of Transport at the Interface Between Multilayers via the Lattice Boltzmann Method
Bibliographic record
Abstract
The lattice Boltzmann method (LBM) has reached maturity in many aspects for modeling incompressible, laminar flow and heat and mass transfer. However, many issues still need to be clarified. One of those is how to deal with Neumann boundary conditions (heat, momentum, and mass fluxes) at the interface between layers of different thermophysical properties, which is the topic of this work. In this work, we try to illustrate modeling of transient and steady-state heat transfer through multilayers, ensuring continuity of the flux, temperature, momentum, velocity, or species concentration at the interface, which is not a trivial issue in any of the numerical methods. Satisfying continuity conditions at the interface using the LBM needs special treatment, because the relaxation time depends on the thermophysical properties. In this work, methods to solve this issue are introduced for solving 1-D and 2-D, unsteady heat diffusion problems However, the methods can be equally applied for multilayer immiscible fluid flow and mass transfer problems. The predictions of the LBM are compared with those of the finite-volume method (FVM).
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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 | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.001 |
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".