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Title: Stability of the discretization of the electron avalanche phenomenon

The numerical simulation of the discharge inception is an active field of applied physics with many industrial applications. In this work we focus on the drift-reaction equation that describes the electron avalanche. This phenomenon is one of the basic building blocks of the streamer model. The main difficulty of the electron avalanche equation lies in the fact that the reaction term is positive when a high electric field is applied. It leads to exponentially growing solutions and this has a major impact on the behavior of numerical schemes. We analyze the stability of a reference finite volume scheme applied to this latter problem. The stability of the method may impose a strict mesh spacing, therefore a proper stabilized scheme, which is stable whatever spacing is used, has been developed. The convergence of the scheme is treated as well as some numerical experiments.
Authors:
 [1] ;  [1] ;  [1] ;  [2] ;  [1]
  1. Ricerca Sul Sistema Energetico (RSE), Via Rubattino 50, 20134, Milano (Italy)
  2. CMIC Department “Giulio Natta”, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano (Italy)
Publication Date:
OSTI Identifier:
22465651
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 296; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ADVECTION; AVALANCHE QUENCHING; COMPUTERIZED SIMULATION; CONVERGENCE; ELECTRIC FIELDS; ELECTRONS; EQUATIONS; NUMERICAL ANALYSIS