A new scheme to treat the numerical Tcherenkov instability for electromagnetic particle simulations
type: Item
instance of: scholarly article
title: A new scheme to treat the numerical Tcherenkov instability for electromagnetic particle simulations
zbMATH Open document ID: 0887.65124
author: Jacques Segré
author: Franck Assous
author: Pierre Degond
published in: Journal of Computational Physics
publication date: 1998-01-26T00:00:00Z
review text: The authors consider the Vlasov-Maxwell problem. They develop a finite element approximation and suggest that instabilities in the solution may be reduced by introduction of a parameter in an explicit time-stepping method. The method is illustrated by applying it to waves in a fluid plasma and it is shown that the Tcherenkov instability can be reduced by the process. Diagrams are given showing the effectiveness of the method in a number of cases.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1110132
zbMATH Keywords: electromagnetic particle simulations
zbMATH Keywords: Vlasov-Maxwell problem
zbMATH Keywords: finite element
zbMATH Keywords: explicit time-stepping method
zbMATH Keywords: waves
zbMATH Keywords: fluid plasma
zbMATH Keywords: Tcherenkov instability
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
full work available at URL: jcph.1997.5818
OpenAlex ID: W1968209996
cites work: Q3994787
cites work: A noise suppression algorithm for the numerical solution of Maxwell's equations
cites work: A second-order implicit particle mover with adjustable damping
cites work: On a finite-element method for solving the three-dimensional Maxwell equations
cites work: Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
DOI: 10.1006/JCPH.1997.5818
description: scientific article; zbMATH DE number 1110132