Bibliographic record
Abstract
The paper presents preliminary research on improving performance of CFD simulations in OpenFOAM via offloading parts of computations (specifically, solution of linear systems) to a graphics accelerator (GPU). We present a short review of OpenFOAM package and describe porting conjugate gradient method to the GPU architecture using CUDA programming model. Porting the basic algorithm is straightforward, however care should be taken to avoid unnecessary copying over PCI-Express bus. Efficient preconditioning on the GPU is then discussed. We use approximate inverse preconditioning, which can be implemented with good parallelism on the GPU. To amortize the cost of preparing the preconditioner, we allow reuse of preconditioners on the GPU and compute them on the CPU in a helper thread asynchronously. We mention several optimization opportunities: reordering the preconditioner to upper-left triangular form so that CUDA blocks multiplying by denser parts of preconditiner factors are scheduled first; using single-precision storage for the preconditioner to save memory bandwidth; reordering the mesh with nested dissection method from Metis library and using mixed-precision iteration for the conjugate gradient method. Preliminary performance testing results show performance improvement starting from 64000-cell meshes and reaching 2x for a 1-million cell mesh for a non-parallel run. As future work we mention support for parallel runs with MPI, research of other solvers such as multigrid, BiCGStab and IDR, and choosing drop tolerance automatically for the AINV preconditioner.
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 | 0.001 | 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 | 0.001 |
| Open science | 0.001 | 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 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".