A Cell-Centered Pressure Based Method for Two/Three-Dimensional Unstructured Incompressible Navier-Stokes Solver
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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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) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 0.002 |
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".