Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory

被引：126

作者：

Abel, I. G. ^{[1
,2
]}

Barnes, M. ^{[3
,4
]}

Cowley, S. C. ^{[1
,2
]}

Dorland, W. ^{[3
,4
]}

Schekochihin, A. A. ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Plasma Phys Grp, London SW7 2AZ, England

[2] UKAEA Euratom Fus Assoc, Culham Sci Ctr, Abingdon OX14 3DB, Oxon, England

[3] Univ Maryland, Dept Phys, Inst Res Elect & Appl Phys, College Pk, MD 20742 USA

[4] Univ Maryland, Ctr Sci Comp & Math Modeling, College Pk, MD 20742 USA

来源：

PHYSICS OF PLASMAS | 2008年 / 15卷 / 12期

基金：

英国工程与自然科学研究理事会; 英国科学技术设施理事会;

关键词：

flow simulation; plasma collision processes; plasma simulation; plasma turbulence;

D O I：

10.1063/1.3046067

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A new analytically and numerically manageable model collision operator is developed specifically for turbulence simulations. The like-particle collision operator includes both pitch-angle scattering and energy diffusion and satisfies the physical constraints required for collision operators: it conserves particles, momentum, and energy, obeys Boltzmann's H-theorem (collisions cannot decrease entropy), vanishes on a Maxwellian, and efficiently dissipates small-scale structure in the velocity space. The process of transforming this collision operator into the gyroaveraged form for use in gyrokinetic simulations is detailed. The gyroaveraged model operator is shown to have more suitable behavior at small scales in phase space than previously suggested models. Model operators for electron-ion and ion-electron collisions are also presented.

引用

页数：11

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