A High-Order Accurate Unstructured Newton-Krylov Solver for Inviscid Compressible Flows
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Bibliographic record
Abstract
*† A Newton-Krylov unstructured flow solver is developed for higher-order computation of the Euler equations using an upwind scheme. The Generalized Minimal Residual (GMRES) algorithm is used for solving the linear system arising from implicit time discretization of the governing eqautions. An Incomplete Lower-Upper factorization technique is employed as the preconditioning strategy, and an approximate first order Jacobian as the preconditioning matrix. A proper implementation of limiter for higher-order discretization is discussed and a new formula for higher-order limiter is introduced. A defect correction procedure is used for the start-up process before performing Newton iterations. All orders of accuracy show fast convergence characteristics demonstrating the robustness of the proposed approach.
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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 it