Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov–Fokker–Planck–Ampère system, part II: Collisional aspects

In this study, we extend the moment-based acceleration algorithm for the charge, momentum, and energy conserving Vlasov–Ampère discretization developed in Ref. [1] by including a reduced Fokker–Planck operator. We propose an energy conserving discretization for the Fokker–Planck collision operator....

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Published in:Journal of computational physics 2015-03, Vol.284
Main Authors: Taitano, William T., Knoll, Dana A., Chacón, Luis
Format: Article
Language:English
Subjects:
ACCELERATION
ALGORITHMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ELECTRON-ELECTRON COLLISIONS
ENERGY CONSERVATION
FOKKER-PLANCK EQUATION
LANGMUIR FREQUENCY
MATHEMATICAL METHODS AND COMPUTING
NONLINEAR PROBLEMS
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Knoll, Dana A.
Chacón, Luis
description In this study, we extend the moment-based acceleration algorithm for the charge, momentum, and energy conserving Vlasov–Ampère discretization developed in Ref. [1] by including a reduced Fokker–Planck operator. We propose an energy conserving discretization for the Fokker–Planck collision operator. We show by numerical experiment that the new algorithm 1) efficiently converges the nonlinearly coupled Vlasov–Fokker–Planck–Ampère system, and 2) accurately steps over stiff time-scales such as the inverse electron plasma frequency, and the electron–electron collision time-scale. We demonstrate that discrete energy conservation is critical to eliminate numerical heating issues when strong density gradients exist.
doi_str_mv 10.1016/J.JCP.2014.09.004
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subjects ACCELERATION
ALGORITHMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ELECTRON-ELECTRON COLLISIONS
ENERGY CONSERVATION
FOKKER-PLANCK EQUATION
LANGMUIR FREQUENCY
MATHEMATICAL METHODS AND COMPUTING
NONLINEAR PROBLEMS
title Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov–Fokker–Planck–Ampère system, part II: Collisional aspects
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