Title
An arbitrary high-order Spectral Difference method for the induction equation
Abstract
•SD-ADER is a new arbitrary high-order method for the induction equation.•It can be seen as a high-order extension of the Constrained Transport (CT) method.•In SD-ADER, the B-field is provably divergence-free (both locally and globally).•Numerical results of SD-ADER are similar to the RKDG with divergence cleaning.•SD-ADER does not need additional equations/variables to control the divergence.
Year
DOI
Venue
2021
10.1016/j.jcp.2021.110327
Journal of Computational Physics
Keywords
DocType
Volume
Numerical analysis,High-order,Divergence-free,Induction equation,Spectral Difference
Journal
438
ISSN
Citations 
PageRank 
0021-9991
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Veiga Maria Han100.34
David Romero2223.65
Wenger Quentin300.34
Romain Teyssier4134.59