MULTIDIMENSIONAL DISSIPATION TECHNIQUE FOR AN AUSM SCHEME ON TRIANGULAR GRIDS
Bibliographic record
Abstract
Numerical instability of the AUSM scheme on two-dimensional structured triangular grids is investigated. By examining several test cases, it is found that both numerical flux formulations of the AUSM scheme (so-called the AUSM-M1 and AUSM-M2 schemes) do not have sufficiently robustness to satisfy the shock-induced anomaly so called the carbuncle phenomenon. The modified multidimensional dissipation technique is then proposed in order to heal such shock instability. The dissipation mechanism against perturbations is investigated by applying a linearized discrete analysis to the odd-even decoupling problem. The recursive equations show that the dissipation factor (δ) plays an important role in all perturbations of the AUSM-M1 scheme. But it does not have any effect on the density perturbation of the AUSM-M2 scheme. Finally, the scheme is further extended to achieve the second-order solution accuracy and evaluated theirs robustness against shock instability by solving several test cases.
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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) | 0.000 | 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 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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 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".