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How to improve the numerical reproducibility of hydrodynamics simulations: analysis and solutions for one open-source HPC software
Thèses et HDR   Open Access

How to improve the numerical reproducibility of hydrodynamics simulations: analysis and solutions for one open-source HPC software

Rafife Nheili
Doctoral, Université de Montpellier
07/12/2016

Résumé

hydrodynamics simulation domain decomposition finite element reproducibility floating-point arithmetic arithmétique flottante reproductibilité éléments finis décomposition de domaine simulation hydrodynamique compensation openTelemac
HPC simulations in various scientific domains suffer from failures of numerical reproducibility because of floating-point arithmetic peculiarities. Different distributions of a parallel computation may yield different numerical results. Numerical reproducibility is a requested feature to facilitate the debug, the validation and the test of industrial or large software. In this thesis, we focus on the openTelemac software that implements finite element simulation for industrial and scientific hydrodynamics. We identify and analyze the sources of this reproducibility failure. We define and implement how to recover numerical reproducibility in two openTelemac modules. We also measure that the running time extra-cost of the reproducible version is reasonable enough in practice.

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