Convection in a differentially heated rotating spherical shell of Boussinesq fluid with radiative forcing
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Bibliographic record
Abstract
In this study we investigate the \nflow of a Boussinesq \nfluid contained in a rotating, differentially heated spherical shell. Previous work, on the spherical shell of Boussinesq fluid, differentially heated the shell by prescribing temperature on the inner boundary\nof the shell, setting the temperature deviation from the reference temperature to vary\nproportionally with -cos 20, from the equator to the pole. We change the model to\ninclude an energy balance equation at the earth's surface, which incorporates latitudinal solar radiation distribution and ice-albedo feedback mechanism with moving ice\nboundary. For the \nfluid velocity, on the inner boundary, two conditions are considered:\nstress-free and no-slip. However, the model under consideration contains only simple\nrepresentations of a small number of climate variables and thus is not a climate model\nper se but rather a tool to aid in understanding how changes in these variables may\naffect our planet's climate.\nThe solution of the model is followed as the differential heating is changed, using the pseudo arc-length continuation method, which is a reliable method that can\nsuccessfully follow a solution curve even at a turning point.\nOur main result is in regards to hysteresis phenomenon that is associated with\ntransition from one to multiple convective cells, in a dfferentially heated, co-rotating\nspherical shell. In particular, we find that hysteresis can be observed without transition\nfrom one to multiple convective cells. Another important observation is that the\ntransition to multiple convective cells is significantly suppressed altogether, in the\ncase of stress-free boundary conditions on the fluid velocity. Also, the results of this\nstudy will be related to our present-day climate.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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