Hydrodynamic loading on elliptic cylinders in regular waves
Bibliographic record
Abstract
This paper deals with an elliptical cylinder in regular waves and investigation is made to determine the exciting forces and moments exerted on this body in regular waves. We have used the potential theory formulation in this case under the assumption that the viscous effects are negligible. An analytical solution to the linear wave diffraction problem, in terms of the infinite series of Mathieu's function, for a fixed vertical cylinder of elliptical cross-section in water of finite depth d has been presented. Further, Mathieu functions were simplified by taking the characteristic number s to be independent of the parameter q. The values of these simplified forms of Mathieu functions are substituted in the closed form approximations for the force and moment components for small eccentricity e of the cylinder, and the results thus obtained are compared with the existing results in the previous literature. The comparison shows good agreement except for e = 0.9 and e = 1.0. The limiting case of the circular cylinder, obtained by taking e = 0, has also been studied. The horizontal and vertical forces for the circular and elliptical cylinder for angle of incidence = 0 and 90 have been compared.
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How this classification was reachedexpand
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 | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".