Lunet, Thibaut, Bodart, Julien
, Gratton, Serge
and Vasseur, Xavier
(2018)
Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening.
Computing and Visualization in Science.
pp. 1-14.
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Abstract
Direct Numerical Simulation of turbulent flows is a computationally demanding problem that requires efficient parallel algorithms. We investigate the applicability of the time-parallel Parareal algorithm to an instructional case study related to the simulation of the decay of homogeneous isotropic turbulence in three dimensions. We combine a Parareal variant based on explicit time integrators and spatial coarsening with the space-parallel Hybrid Navier-Stokes solver. We analyse the performance of this space-time parallel solver with respect to speedup and quality of the solution. The results are compared with reference data obtained with a classical explicit integration, using an error analysis which relies on the energetic content of the solution. We show that a single Parareal iteration is able to reproduce with high fidelity the main statistical quantities characterizing the turbulent flow field.
Item Type: | Article |
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Language: | English |
Date: | 2018 |
Refereed: | Yes |
Uncontrolled Keywords: | Direct Numerical Simulation - Explicit time integrator - High-order method in space |
Subjects: | H- INFORMATIQUE |
Divisions: | Institut de Recherche en Informatique de Toulouse |
Site: | UT1 |
Date Deposited: | 16 Jan 2019 08:52 |
Last Modified: | 02 Apr 2021 15:58 |
URI: | https://publications.ut-capitole.fr/id/eprint/28492 |