An efficient energy-conserving numerical model for the electron energy distribution function in the presence of electron-electron collisions

被引：16

作者：

D'Angola, A. ^{[2
]}

Coppa, G. ^{[3
]}

Capitelli, M. ^{[1
,4
]}

Gorse, C. ^{[1
,4
]}

Colonna, G. ^{[1
]}

机构：

[1] CNR IMIP Bari, I-70126 Bari, Italy

[2] Univ Basilicata, I-85100 Potenza, Italy

[3] Politecn Torino, I-10129 Turin, Italy

[4] Univ Bari, I-70126 Bari, Italy

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 07期

关键词：

Boltzmann equation; Electron kinetics; Plasma modeling; Electron-electron collisions; NOZZLE EXPANSION; HYPERSONIC FLOW; IONIZED PLASMAS; KINETICS; COMBUSTION; DISCHARGES; BOLTZMANN; EQUATIONS; SOLVER; STATES;

D O I：

10.1016/j.cpc.2010.03.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An efficient algorithm to calculate the contribution of electron-electron collisions in the Boltzmann equation for free electrons, in the two-term approximation is presented. The electron-electron collision term must be energy-conserving, while, due to non-linearity, commonly used algorithms do not satisfy this requirement. The efficiency of the algorithm make feasible the use of a non-linear iterative solver to conserve electron energy in electron-electron collisions. The performance of the proposed algorithm has been compared with standard numerical schemes obtaining: 1) considerable gain in computational time: 2) the conservation of the total electron energy density in e-e collisions under the required tolerance. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1204 / 1211

页数：8

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