Aerodynamics Modeling and Analysis of Close Formation Flight
Bibliographic record
Abstract
A novel computationally efficient close formation aerodynamic model is presented using the lifting-line theory based on an elliptical lift distribution assumption. Formation aerodynamic effects induced by trailing vortices of a leader aircraft are formulated as functions of both the relative position and orientation between the leader and follower aircraft. The proposed aerodynamics model is validated by comparing the model predictions with published experimental results. The proposed model is considered to be more accurate than the widely used single horseshoe vortex model, and it is at least as accurate as a fundamental vortex lattice model, but the exact knowledge of the lift distribution is not required. Comprehensive analysis is thereafter conducted to investigate the drag reductions in terms of different relative positions, angles of attack, sideslip angles, and leader-to-follower wingspan ratios. Up to 30% loss of the formation benefit is observed, if the optimal region cannot be tracked within 10% wingspan accuracy. In addition, the impact of the relative orientation between leader and follower aircraft is also investigated.
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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 | 0.000 |
| 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 | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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".