Numerical Solutions of Transient Radiative Transfer Using Time and Frequency-Domain Approaches
Bibliographic record
Abstract
The one-dimensional transient radiative transfer problem in the Cartesian coordinate system — an absorbing and scattering medium illuminated by a short laser pulse — is solved by the use of time and frequency-domain approaches. In both cases, a Discrete Ordinates–Finite Volume method is adopted. Results for transmittance show that even if high order spatial schemes coupled with flux limiters can minimize the non-physical results associated with the temporal approach (transmitted flux emerging earlier than the minimal time required by the radiation to leave the medium), early transmitted radiation are always present. Transmittances obtained from the space-frequency method are more accurate, without unrealistic behaviors at early time periods. However, the frequency-dependent approach is computationally expensive with respect to its temporal counterpart, and the implementation of a Fast Fourier Transform algorithm is therefore considered. Finally, promising applications regarding optical diagnosis of absorbing and scattering media, using the radiation transport equation in the space-frequency domain, are briefly discussed.
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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 | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.002 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 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".