Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/A6D306A5-E6CA-4BBA-B4C9-DBBB65345199 | - |
| Αναγνωριστικό | https://link.springer.com/article/10.1007%2Fs11227-017-2066-y | - |
| Αναγνωριστικό | https://doi.org/10.1007/s11227-017-2066-y | - |
| Γλώσσα | en | - |
| Μέγεθος | 26 pages | en |
| Τίτλος | A parallel multigrid solver for incompressible flows on computing architectures with accelerators | en |
| Δημιουργός | Mandikas Vasileios | en |
| Δημιουργός | Μανδικας Βασιλειος | el |
| Δημιουργός | Mathioudakis Emmanouil | en |
| Δημιουργός | Μαθιουδακης Εμμανουηλ | el |
| Εκδότης | Springer Verlag | en |
| Περίληψη | An efficient parallel multigrid pressure correction algorithm is proposed for the solution of the incompressible Navier–Stokes equations on computing architectures with acceleration devices. The pressure correction procedure is based on the numerical solution of a Poisson-type problem, which is discretized using a fourth-order finite difference compact scheme. Since this is the most time-consuming part of the solver, we propose a parallel pressure correction algorithm using an iterative method based on a block cyclic reduction solution method combined with a multigrid technique. The grid points are numbered with respect to the red–black ordering scheme for the parallel Gauss–Seidel smoother. These parallelization techniques allow the execution of the entire simulation computations on the acceleration device, minimizing memory communication costs. The realization is developed using the OpenACC API, and the numerical method is demonstrated for the solution of two classical incompressible flow test problems. The first is the two-dimensional lid-driven cavity problem over equal mesh sizes while the other is the Stokes boundary layer, which is a decent benchmark problem for unequal mesh spacing. The effect of several multigrid components on modern and legacy acceleration architectures is examined. Eventually the performance investigation demonstrates that the proposed parallel multigrid solver achieves an acceleration of more than 10× over the sequential solver and more than 4× over multi-core CPU only realizations for all tested accelerators. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2018-03-16 | - |
| Ημερομηνία Δημοσίευσης | 2017 | - |
| Θεματική Κατηγορία | BCR | en |
| Θεματική Κατηγορία | Block cyclic reduction | en |
| Θεματική Κατηγορία | Compact finite difference schemes | en |
| Θεματική Κατηγορία | Computing accelerators | en |
| Θεματική Κατηγορία | GMG | en |
| Θεματική Κατηγορία | Geometric multigrid techniques | en |
| Θεματική Κατηγορία | Incompressible Navier–Stokes equations | en |
| Θεματική Κατηγορία | Zebra line Gauss–Seidel relaxation | en |
| Βιβλιογραφική Αναφορά | V. G. Mandikas and E. N. Mathioudakis, "A parallel multigrid solver for incompressible flows on computing architectures with accelerators," J. Supercomput., vol. 73, no. 11, pp. 4931-4956, Nov. 2017. doi:10.1007/s11227-017-2066-y | en |
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