A Cell-Centered Pressure Based Method for Two/Three-Dimensional Unstructured Incompressible Navier-Stokes Solver
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Bibliographic record
Abstract
*† ‡ A cell-centered pressure based method is presented in this paper, and it is implemented in a new two/three-dimensional parallel unstructured CFD code to meet the challenges of physical problems with complex geometries and complicated boundary conditions while maintaining high computational efficiency. The method uses a second order upwind scheme in space and a second order backward scheme for time accuracy. The SIMPLE algorithm in conjunction with the Rhie and Chow approach solves the continuity equation, minimizing undesirable pressure oscillations. The code is parallelized using METIS domain decomposition with good load balancing across computational nodes. In order to demonstrate the accuracy and performance of the current cell-centered pressure based method, several test cases are presented for validation such as two-dimensional incompressible flow past a flat plate, two/three-dimensional driven cavity flow, and two/three-dimensional flow over a circular cylinder. Notably, an extensive qualitative and quantitative study of two-dimensional flow over a circular cylinder for low Reynolds number is also presented in this paper.
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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 | 0.001 | 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)
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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