COMPUTATIONAL NEAR-FIELD RADIATIVE HEAT TRANSFER: CONVERGENCE ANALYSIS OF THE THERMAL DISCRETE DIPOLE APPROXIMATION USING THE EXACT SOLUTION FOR TWO SPHERES
Bibliographic record
Abstract
The thermal discrete dipole approximation (T-DDA) is a numerical method for modeling near-field thermal radiation problems. In this work, the convergence of the T-DDA is investigated using the exact solution for two spheres separated by a vacuum gap. The results suggest that for a fixed number of sub-volumes, increasing the refractive index and/or the size parameter as well as decreasing the separation gap degrade the accuracy of the T-DDA. A non-uniform discretization scheme is proposed to accelerate the convergence of the T-DDA. Errors smaller than 5% are obtained for 13 out of 18 sets of simulations using up to 77196 sub-volumes. Resonant modes dominating heat transfer in the near field are predicted via the T-DDA with an error smaller than 4.10%.
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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 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| 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".