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

Abstract

In this study, we propose a charge, momentum, and energy conserving discretization for the 1D–1V Vlasov–Ampère system of equations on an Eulerian grid. The new conservative discretization is nonlinear in nature, but can be efficiently converged with a moment-based nonlinear accelerator algorithm. We demonstrate the conservation and convergence properties of the scheme with various numerical examples, including a multi-scale ion–acoustic shockwave problem.

Authors:
;
Publication Date:
OSTI Identifier:
22465606
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 284; 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; ACCELERATION; ALGORITHMS; BOLTZMANN-VLASOV EQUATION; CONVERGENCE; ENERGY CONSERVATION; FOKKER-PLANCK EQUATION; NONLINEAR PROBLEMS; SHOCK WAVES

Citation Formats

Taitano, William T., E-mail: taitano@lanl.gov, and Chacón, Luis. Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov–Fokker–Planck–Ampère system, part I: Collisionless aspects. United States: N. p., 2015. Web. doi:10.1016/J.JCP.2014.12.038.
Taitano, William T., E-mail: taitano@lanl.gov, & Chacón, Luis. Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov–Fokker–Planck–Ampère system, part I: Collisionless aspects. United States. doi:10.1016/J.JCP.2014.12.038.
Taitano, William T., E-mail: taitano@lanl.gov, and Chacón, Luis. Sun . "Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov–Fokker–Planck–Ampère system, part I: Collisionless aspects". United States. doi:10.1016/J.JCP.2014.12.038.
@article{osti_22465606,
title = {Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov–Fokker–Planck–Ampère system, part I: Collisionless aspects},
author = {Taitano, William T., E-mail: taitano@lanl.gov and Chacón, Luis},
abstractNote = {In this study, we propose a charge, momentum, and energy conserving discretization for the 1D–1V Vlasov–Ampère system of equations on an Eulerian grid. The new conservative discretization is nonlinear in nature, but can be efficiently converged with a moment-based nonlinear accelerator algorithm. We demonstrate the conservation and convergence properties of the scheme with various numerical examples, including a multi-scale ion–acoustic shockwave problem.},
doi = {10.1016/J.JCP.2014.12.038},
journal = {Journal of Computational Physics},
number = ,
volume = 284,
place = {United States},
year = {Sun Mar 01 00:00:00 EST 2015},
month = {Sun Mar 01 00:00:00 EST 2015}
}