Abstract
Application of additive multigrid with scaled correction for implicit solvers of the compressible Reynolds-averaged Navier-Stokes (RANS) equations is presented. Using multiplicative V-cycle multigrid to solve RANS equations in parallel typically results in poor parallel efficiency on the coarser grids. To alleviate these issues, additive multigrid can be used, since it exhibits better parallel efficiency. However, additive multigrid is typically observed to be slower than multiplicative multigrid and, in some cases it may not even converge. In this work, the convergence rate of additive multigrid is improved significantly through scaling the correction. Convergence of the approach compared to V-cycle is demonstrated for RANS equations on several external aerodynamics cases. In light of emerging massively parallel hardware for scientific computing, the applicability of the asynchronous fine-grain parallel smoothers to the proposed method is verified.
| Original language | English |
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| Title of host publication | AIAA Aviation 2019 Forum |
| Publisher | American Institute of Aeronautics and Astronautics Inc, AIAA |
| Pages | 1-8 |
| Number of pages | 8 |
| ISBN (Print) | 9781624105890 |
| DOIs | |
| State | Published - 2019 |
| Externally published | Yes |
| Event | AIAA Aviation 2019 Forum - Dallas, United States Duration: Jun 17 2019 → Jun 21 2019 |
Publication series
| Name | AIAA Aviation 2019 Forum |
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Conference
| Conference | AIAA Aviation 2019 Forum |
|---|---|
| Country/Territory | United States |
| City | Dallas |
| Period | 06/17/19 → 06/21/19 |
Funding
We gratefully acknowledge funding from the Natural Sciences and Engineering Research Council (NSERC) of Canada, Consortium for Research and Innovation in Aerospace in Canada (CARIC) and Québec (CRIAQ), Bombardier Aerospace, Cray Inc. and the McGill University Faculty of Engineering.