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

Philippe Dessante (1) , Joseph-Marie Plewa (2) , Olivier Ducasse (3) , Carolyn Jacobs (1) , Olivier Eichwald (3) , Nicolas Renon (4) , Mohammed Yousfi (3)

1 GeePs - Laboratoire Génie électrique et électronique de Paris
2 LAPLACE - LAboratoire PLasma et Conversion d'Energie
3 LAPLACE-PRHE - Plasmas Réactifs Hors Equilibre
4 CALMIP - Calcul en Midi-Pyrénée

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.

Domains: Plasmas

Philippe Dessante, Joseph-Marie Plewa, Olivier Ducasse, Carolyn Jacobs, Olivier Eichwald, et al.. Benchmarks of 3D Laplace Equation Solvers in a Cubic Configuration for Streamer Simulation. Plasma Science and Technology, 2016, 18 (5), pp.538 - 543. ⟨10.1088/1009-0630/18/5/16⟩. ⟨hal-01810768⟩