Benchmarks of 3D Laplace Equation Solvers in a Cubic Configuration for Streamer Simulation

Joseph-Marie Plewa; Olivier Ducasse; Philippe Dessante; Carolyn Jacobs; Olivier Eichwald; Nicolas Renon; Mohammed Yousfi

doi:10.1088/1009-0630/18/5/16

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Benchmarks of 3D Laplace Equation Solvers in a Cubic Configuration for Streamer Simulation

Journal article

Peer reviewed

Benchmarks of 3D Laplace Equation Solvers in a Cubic Configuration for Streamer Simulation

Joseph-Marie Plewa, Olivier Ducasse, Philippe Dessante, Carolyn Jacobs, Olivier Eichwald, Nicolas Renon and Mohammed Yousfi

Plasma Science and Technology, Vol.18(5), pp.538-543

2016

DOI: https://doi.org/10.1088/1009-0630/18/5/16

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Abstract

Atomic, Molecular, Nuclear, Particle and Plasma Physics

High performance computing

numerical methods for elliptic equations

3D streamer simulation

SOR

IDR

BiCGSTAB

The aim of this paper is to test a developed SOR R&B method using the Chebyshev accelerator algorithm to solve the Laplace equation in a cubic 3D configuration. Comparisons are made in terms of precision and computing time with other elliptic equation solvers proposed in the open source LIS library. The first results, obtained by using a single core on a HPC, show that the developed SOR R&B method is efficient when the spectral radius needed for the Chebyshev acceleration is carefully pre-estimated. Preliminary results obtained with a parallelized code using the MPI library are also discussed when the calculation is distributed over one hundred cores.

Details

Title: Benchmarks of 3D Laplace Equation Solvers in a Cubic Configuration for Streamer Simulation
Authors: Joseph-Marie Plewa (Author) - Université de Toulouse, France
Olivier Ducasse (Author) - Université de Toulouse, France
Philippe Dessante (Author) - Universite Paris-Sud-UPMC, France
Carolyn Jacobs (Author) - Universite Paris-Sud-UPMC, France
Olivier Eichwald (Author) - Université de Toulouse, France
Nicolas Renon (Author) - Université de Toulouse-CNRS-INPT-INSA-UPS, France
Mohammed Yousfi (Author) - Université de Toulouse, France
Publication details: Plasma Science and Technology, Vol.18(5), pp.538-543
Publisher: Institute of Physics Publishing Ltd.
Date published: 2016
DOI: 10.1088/1009-0630/18/5/16
ISSN: 1009-0630
Organisation Unit: School of Science and Engineering - Legacy; University of the Sunshine Coast, Queensland
Language: English
Record Identifier: 99450941102621
Output Type: Journal article

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Collaboration types: Domestic collaboration
Web Of Science research areas: Physics, Fluids & Plasmas