HAL: hal-00573043, version 2

arXiv: 1103.0506

DOI: 10.1016/j.jcp.2011.07.002

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Journal of Computational Physics 231, 3 (2012) 1002-1019

Available versions:

v1 (2011-03-02)

v2 (2011-07-25)

A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations

Max Duarte (  Corresponding author ) 1, Zdenek Bonaventura 2, Marc Massot 1, Anne Bourdon 1, Stéphane Descombes 3, Thierry Dumont 4

(2012-02-01)

This paper presents a new resolution strategy for multi-scale streamer discharge simulations based on a second order time adaptive integration and space adaptive multiresolution. A classical fluid model is used to describe plasma discharges, considering drift-diffusion equations and the computation of electric field. The proposed numerical method provides a time-space accuracy control of the solution, and thus, an effective accurate resolution independent of the fastest physical time scale. An important improvement of the computational efficiency is achieved whenever the required time steps go beyond standard stability constraints associated with mesh size or source time scales for the resolution of the drift-diffusion equations, whereas the stability constraint related to the dielectric relaxation time scale is respected but with a second order precision. Numerical illustrations show that the strategy can be efficiently applied to simulate the propagation of highly nonlinear ionizing waves as streamer discharges, as well as highly multi-scale nanosecond repetitively pulsed discharges, describing consistently a broad spectrum of space and time scales as well as different physical scenarios for consecutive discharge/post-discharge phases, out of reach of standard non-adaptive methods.

1:	Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion (EM2C)
	CNRS : UPR288 – Ecole Centrale Paris
2:	Department of Physical Electronics
	Masaryk University
3:	Laboratoire Jean Alexandre Dieudonné (JAD)
	CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
4:	Institut Camille Jordan (ICJ)
	CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon

Subject

:

Mathematics/Numerical Analysis Physics/Physics/Plasma Physics Engineering Sciences/Plasmas Physics/Physics/Computational Physics

Keyword(s): multi-scale plasma discharge – time adaptive integration – space adaptive multiresolution : error control

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From: Marc Massot <>

Submitted on: Sunday, 24 July 2011 14:53:36

Updated on: Friday, 25 November 2011 19:42:39