Solution of the linear thermocline equations driven by wind stress and thermohaline forcing
Bibliographic record
Abstract
In this paper, new steady-state solutions of the linearized thermocline equations satisfying prescribed fluxes of heat and salt at the base of the surface Ekman layer, are presented for a semi-infinite ocean of constant depth.A decomposition into vertical modes is used to solve the problem.The solution is first determined in terms of a derivative of the unknown density at the surface and this derivative is then determined from an integral equation arising from applying the surface thermohaline boundary conditions.Solutions forced by wind stress alone, and by wind stress and thermohaline forcing are considered.The wind-driven solution exhibits a temperature field with many realistic features, such as largest meridional gradients in the sub-polar gyre, and the latitudinal spreading of isotherms towards the eastern boundary.The wind-driven salinity field increases towards the poles, contrary to the observed annual mean salinity field.The stability of the sub-tropical gyre is enhanced, whilst the sub-polar gyre is de-stabilized.With the addition of the thermohaline forcing the deficiencies of the salinity field associated with the wind-driven solution are largely corrected, whilst the solution retains a reasonable representation of the climatological temperature field.Temperature and salinity anomaly fields relative to the Levitus climatology, calculated from the Met.Office Forecasting Ocean Assimilation Model, are shown to be qualitatively similar to the anomaly fields dervied from the model discussed in this paper.This result serves to underline the message that the combination of wind and surface buoyancy forcing are essential when modelling the large-scale temperature and salinity fields using the thermocline equations.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.000 | 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) | 0.001 | 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 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".