A new solver featuring time-space adaptation and error control has been recently introduced to tackle the numerical solution of stiff reaction-diffusion systems. Based on operator splitting, finite volume adaptive multiresolution and high order time integrators with specific stability properties for each operator, this strategy yields high computational efficiency for large multidimensional computations on standard architectures such as powerful workstations. However, the data structure of the original implementation, based on trees of pointers, provides limited opportunities for efficiency enhancements, while posing serious challenges in terms of parallel programming and load balancing. The present contribution proposes a new implementation of the whole set of numerical methods including Radau5 and ROCK4, relying on a fully different data structure together with the use of a specific library, TBB, for shared-memory, task-based parallelism with work-stealing. The performance of our implementation is assessed in a series of test-cases of increasing difficulty in two and three dimensions on multi-core and many-core architectures, demonstrating high scalability.
DOI : 10.5802/smai-jcm.19
Mots clés : Task-based parallelism, multi-core architectures, multiresolution, adaptive grid, stiff reaction-diffusion equations
@article{SMAI-JCM_2017__3__29_0,
author = {Descombes, St\'ephane and Duarte, Max and Dumont, Thierry and Guillet, Thomas and Louvet, Violaine and Massot, Marc},
title = {Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures},
journal = {The SMAI Journal of computational mathematics},
pages = {29--51},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {3},
year = {2017},
doi = {10.5802/smai-jcm.19},
mrnumber = {3646202},
zbl = {1416.65184},
language = {en},
url = {http://www.numdam.org/articles/10.5802/smai-jcm.19/}
}
TY - JOUR AU - Descombes, Stéphane AU - Duarte, Max AU - Dumont, Thierry AU - Guillet, Thomas AU - Louvet, Violaine AU - Massot, Marc TI - Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures JO - The SMAI Journal of computational mathematics PY - 2017 SP - 29 EP - 51 VL - 3 PB - Société de Mathématiques Appliquées et Industrielles UR - http://www.numdam.org/articles/10.5802/smai-jcm.19/ DO - 10.5802/smai-jcm.19 LA - en ID - SMAI-JCM_2017__3__29_0 ER -
%0 Journal Article %A Descombes, Stéphane %A Duarte, Max %A Dumont, Thierry %A Guillet, Thomas %A Louvet, Violaine %A Massot, Marc %T Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures %J The SMAI Journal of computational mathematics %D 2017 %P 29-51 %V 3 %I Société de Mathématiques Appliquées et Industrielles %U http://www.numdam.org/articles/10.5802/smai-jcm.19/ %R 10.5802/smai-jcm.19 %G en %F SMAI-JCM_2017__3__29_0
Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Guillet, Thomas; Louvet, Violaine; Massot, Marc. Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures. The SMAI Journal of computational mathematics, Tome 3 (2017), pp. 29-51. doi : 10.5802/smai-jcm.19. http://www.numdam.org/articles/10.5802/smai-jcm.19/
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