Mathematical modeling of Eulerian currents induced by wind and waves at the sea surface
Bibliographic record
Abstract
This paper deals with the study of mathematical modeling of Eulerian currents in ocean circulations.The wave-wave interaction of four progressive waves traveling with four wave numbers and four frequencies are elegantly described by Komen et al. (J.Phys.Oceanogra., 14 (1984), 1271-1285).Therefore, detailed investigations are avoided in this present paper.We shall rather devote our study to the description of the analytic solutions of the Eulerian currents present in the ocean circulation.This study contains the mathematical descriptions of nonlinear wave interactions, wind and wave induced surface currents, unsteady Eulerian currents in one-dimension, and steady two-dimensional Eulerian currents in ocean circulations.A variety of solutions that satisfy the governing equations with their initial and boundary conditions are obtained.A Laplace transform method in conjunction with the convolution concept is used as a solution technique and the accuracy of the solution is confirmed by using the powerful separation of variables method.Some of the solutions are graphically illustrated in non-dimensional forms and the physical meaning is described.
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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 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| 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".