Numerical Results for the Coupling of a Simple Neutronics Diffusion Model and a Simple Hydrodynamics Low Mach Number Model without Coupling Codes
Bibliographic record
Abstract
We obtain an analytic solution of a monodimensionalstationary system coupling two simplified models, one solving the thermohydraulic equations, the other onesolving the neutronic diffusion equation with one energygroup (characterized by the diffusion coefficient, the absorptionand the fission cross sections which are assumed to dependonly on temperature). This analytic solution relies on theconstruction of two auxiliary functions. Realistic values of thecross sections (given at some values of the temperature) yield, by interpolation, approximate expressions for the cross sections. Projection of these functions on a 2d space using finite elementmethod leads to a approximate simplified ODE, from whichone deduces an approximation of the analytic solution usingincomplete Jacobi elliptic integrals.
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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 | 0.000 | 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 | 0.000 |
| 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 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".