Optimization of the Gyroaverage operator based on Hermite interpolation
ESAIM. Proceedings, Tome 53 (2016), pp. 191-210
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Gyrokinetic modeling is appropriate for describing Tokamak plasma turbulence, and the gyroaverage operator is a cornerstone of this approach. In a gyrokinetic code, the gyroaveraging scheme needs to be accurate enough to avoid spoiling the data but also requires a low computation cost because it is applied often on the main unknown, the 5D guiding-center distribution function, and on the 3D electric potentials. In the present paper, we improve a gyroaverage scheme based on Hermite interpolation used in the Gysela code. This initial implementation represents a too large fraction of the total execution time. The gyroaverage operator has been reformulated and is now expressed as a matrix-vector product and a cache-friendly algorithm has been setup. Different techniques have been investigated to quicken the computations by more than a factor two. Description of the algorithms is given, together with an analysis of the achieved performance.
Affiliations des auteurs :
Fabien Rozar 1, 2 ; Christophe Steiner 3 ; Guillaume Latu 2 ; Michel Mehrenberger 3 ; Virginie Grandgirard 2 ; Julien Bigot 1 ; Thomas Cartier-Michaud 2 ; Jean Roman 4
@article{EP_2016_53_a12,
author = {Fabien Rozar and Christophe Steiner and Guillaume Latu and Michel Mehrenberger and Virginie Grandgirard and Julien Bigot and Thomas Cartier-Michaud and Jean Roman},
title = {Optimization of the {Gyroaverage} operator based on {Hermite} interpolation},
journal = {ESAIM. Proceedings},
pages = {191--210},
year = {2016},
volume = {53},
doi = {10.1051/proc/201653012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201653012/}
}
TY - JOUR AU - Fabien Rozar AU - Christophe Steiner AU - Guillaume Latu AU - Michel Mehrenberger AU - Virginie Grandgirard AU - Julien Bigot AU - Thomas Cartier-Michaud AU - Jean Roman TI - Optimization of the Gyroaverage operator based on Hermite interpolation JO - ESAIM. Proceedings PY - 2016 SP - 191 EP - 210 VL - 53 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201653012/ DO - 10.1051/proc/201653012 LA - en ID - EP_2016_53_a12 ER -
%0 Journal Article %A Fabien Rozar %A Christophe Steiner %A Guillaume Latu %A Michel Mehrenberger %A Virginie Grandgirard %A Julien Bigot %A Thomas Cartier-Michaud %A Jean Roman %T Optimization of the Gyroaverage operator based on Hermite interpolation %J ESAIM. Proceedings %D 2016 %P 191-210 %V 53 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201653012/ %R 10.1051/proc/201653012 %G en %F EP_2016_53_a12
Fabien Rozar; Christophe Steiner; Guillaume Latu; Michel Mehrenberger; Virginie Grandgirard; Julien Bigot; Thomas Cartier-Michaud; Jean Roman. Optimization of the Gyroaverage operator based on Hermite interpolation. ESAIM. Proceedings, Tome 53 (2016), pp. 191-210. doi: 10.1051/proc/201653012
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