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

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 cons...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Abel, I, Barnes, M, Cowley, S, Dorland, W, Schekochihin, A
التنسيق: Journal article
اللغة:English
منشور في: 2008
_version_ 1826277853318086656
author Abel, I
Barnes, M
Cowley, S
Dorland, W
Schekochihin, A
author_facet Abel, I
Barnes, M
Cowley, S
Dorland, W
Schekochihin, A
author_sort Abel, I
collection OXFORD
description 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. A model operator for electron-ion collisions is also presented.
first_indexed 2024-03-06T23:35:09Z
format Journal article
id oxford-uuid:6d68260c-ce6e-47e6-80df-d4d0fb4bf836
institution University of Oxford
language English
last_indexed 2024-03-06T23:35:09Z
publishDate 2008
record_format dspace
spelling oxford-uuid:6d68260c-ce6e-47e6-80df-d4d0fb4bf8362022-03-26T19:17:33ZLinearized model Fokker-Planck collision operators for gyrokinetic simulations. I. TheoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6d68260c-ce6e-47e6-80df-d4d0fb4bf836EnglishSymplectic Elements at Oxford2008Abel, IBarnes, MCowley, SDorland, WSchekochihin, AA 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. A model operator for electron-ion collisions is also presented.
spellingShingle Abel, I
Barnes, M
Cowley, S
Dorland, W
Schekochihin, A
Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory
title Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory
title_full Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory
title_fullStr Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory
title_full_unstemmed Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory
title_short Linearized model Fokker-Planck collision operators for gyrokinetic simulations. I. Theory
title_sort linearized model fokker planck collision operators for gyrokinetic simulations i theory
work_keys_str_mv AT abeli linearizedmodelfokkerplanckcollisionoperatorsforgyrokineticsimulationsitheory
AT barnesm linearizedmodelfokkerplanckcollisionoperatorsforgyrokineticsimulationsitheory
AT cowleys linearizedmodelfokkerplanckcollisionoperatorsforgyrokineticsimulationsitheory
AT dorlandw linearizedmodelfokkerplanckcollisionoperatorsforgyrokineticsimulationsitheory
AT schekochihina linearizedmodelfokkerplanckcollisionoperatorsforgyrokineticsimulationsitheory