Result: Comparison of numerical schemes for Fokker-Planck-Landau equation

Title:
Comparison of numerical schemes for Fokker-Planck-Landau equation
Authors:
Buet, Christophe, Cordier, Stéphane, Filbet, Françis
Contributors:
Cordier, Stéphane
Source:
ESAIM: Proceedings. 10:161-181
Publisher Information:
EDP Sciences, 2001.
Publication Year:
2001
Subject Terms:
Rarefied gas flows, Boltzmann equation in fluid mechanics, Spectral methods applied to problems in fluid mechanics, spectral methods, 0103 physical sciences, multigrid methods, Fokker-Planck-Landau equation, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, finite difference methods, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, quasi-isotropic distribution function
Document Type:
Academic journal Article<br />Conference object
File Description:
application/xml; application/pdf
ISSN:
1270-900X
DOI:
10.1051/proc:2001001
Access URL:
https://www.esaim-proc.org/articles/proc/pdf/2001/01/BCF.pdf
https://hal.archives-ouvertes.fr/hal-00076842/document
https://www.esaim-proc.org/articles/proc/abs/2001/01/BCF/BCF.html
https://hal.archives-ouvertes.fr/hal-00076842
https://www.esaim-proc.org/10.1051/proc:2001001
https://hal.science/hal-00076842v1
Rights:
CC BY NC
Accession Number:
edsair.doi.dedup.....47988e48b40c1380fe5c0722b4da5970
Database:
OpenAIRE

Further Information

Summary: This paper is devoted to the comparison of deterministic schemes to approximate the Fokker-Planck-Landau equation. We first recall the basic idea of spectral and multigrid methods, and compare them to evaluate their cost, accuracy and robustness. We also present a new method that is very efficient for quasi-isotropic distribution function. We finally implement a method to deal with numerical simulations in nonhomogeneous situation.