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Title: Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation

Abstract

We present fast numerical algorithms to solve the nonlinear Fokker-Planck-Landau equation in 3D velocity space. The discretization of the collision operator preserves the properties required by the physical nature of the Fokker-Planck-Landau equation, such as the conservation of mass, momentum, and energy, the decay of the entropy, and the fact that the steady states are Maxwellians. At the end of this paper, we give numerical results illustrating the efficiency of these fast algorithms in terms of accuracy and CPU time. 20 refs., 7 figs.

Authors:
 [1];  [2]; ;  [3]
  1. CEA-CEL-V, Villeneuve Saint Georges (France)
  2. Universite de Paris VI, Paris (France)
  3. Universite Paul Sabatier, Toulouse (France)
Publication Date:
OSTI Identifier:
535388
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 133; Journal Issue: 2; Other Information: PBD: 15 May 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; 70 PLASMA PHYSICS AND FUSION; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; FOKKER-PLANCK EQUATION; NUMERICAL SOLUTION; ALGORITHMS; ENTROPY; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Buet, C, Cordier,, Degond, P, and Lemou, M. Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation. United States: N. p., 1997. Web. doi:10.1006/jcph.1997.5669.
Buet, C, Cordier,, Degond, P, & Lemou, M. Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation. United States. https://doi.org/10.1006/jcph.1997.5669
Buet, C, Cordier,, Degond, P, and Lemou, M. 1997. "Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation". United States. https://doi.org/10.1006/jcph.1997.5669.
@article{osti_535388,
title = {Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation},
author = {Buet, C and Cordier, and Degond, P and Lemou, M},
abstractNote = {We present fast numerical algorithms to solve the nonlinear Fokker-Planck-Landau equation in 3D velocity space. The discretization of the collision operator preserves the properties required by the physical nature of the Fokker-Planck-Landau equation, such as the conservation of mass, momentum, and energy, the decay of the entropy, and the fact that the steady states are Maxwellians. At the end of this paper, we give numerical results illustrating the efficiency of these fast algorithms in terms of accuracy and CPU time. 20 refs., 7 figs.},
doi = {10.1006/jcph.1997.5669},
url = {https://www.osti.gov/biblio/535388}, journal = {Journal of Computational Physics},
number = 2,
volume = 133,
place = {United States},
year = {Thu May 15 00:00:00 EDT 1997},
month = {Thu May 15 00:00:00 EDT 1997}
}