NON-INVERTED SKEW UPWIND SCHEME FOR THREE-DIMENSIONAL CONVECTIVE TRANSPORT
Why this work is in the frame
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Bibliographic record
Abstract
Abstract A non-inverted skew upwind scheme (NISUS), based on a control-volume finite-element formulation for advection-diffusion scalar transport problems, is presented. The formulation is developed with 8-noded hexahedral elements, and an isoparametric interpolation of scalar and geometric variables. The new approach for relating the control-volume surface fluxes of each scalar with the nodal point values is described. Due to the explicit representation in terms of nodal variables, a local inversion of the upwind coefficient matrix is not needed. This feature can reduce the simulation time. The scheme is applied to three of test problems, including convective transport of a step change in a scalar field, combined advection and diffusion in an inlet/outlet tank, and radial heat flow in a rotating hollow sphere. The promising performance of NISUS, as compared with exact and previous methods, is demonstrated in terms of both accuracy and stability. Financial support in the form of a Research Grant from the Natural Sciences and Engineering Research Council of Canada, as well as a Tuition Waiver Award (2002/2003) to E. O. B. Ogedengbe by the University of Manitoba, are gratefully acknowledged.
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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) | 0.000 | 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) | 0.000 | 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