Matrix-free global stability analysis framework for 2D and 3D applications
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Bibliographic record
Abstract
View Video Presentation: https://doi.org/10.2514/6.2022-3227.vid This paper presents the implementation of stability analysis methods in the CHApel Multi-Physics Simulation (CHAMPS) software. A classic method using the extraction of the Jacobian matrix of the Unsteady Reynolds-Averaged Navier-Stokes (URANS) equations and a resolution of eigenvalue problems with the PETSC and SLEPC libraries is implemented. A development to compute the stability of spanwise invariant flow with an assumption on the periodicity of the modes in the spanwise direction is included. This paper also proposes a matrix-free implementation, which relies on a Generalized Minimized Residual solver for the linear systems of equations. In all cases, an Arnoldi iteration with the shift-and-invert spectral transformation is used to compute the eigenpairs. The methods are verified for the case of a laminar cylinder and the transonic buffet over an airfoil, and applied to a transonic buffet case on a half wing-body aircraft configuration.
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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 | 0.001 |
| 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