Journal article icon

Journal article

A particle method for the homogeneous Landau equation

Abstract:

We propose a novel deterministic particle method to numerically approximate the Landau equation for plasmas. Based on a new variational formulation in terms of gradient flows of the Landau equation, we regularize the collision operator to make sense of the particle solutions. These particle solutions solve a large coupled ODE system that retains all the important properties of the Landau operator, namely the conservation of mass, momentum and energy, and the decay of entropy. We illustrate ou...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1016/j.jcpx.2020.100066

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Oxford college:
Queen's College
Role:
Author
ORCID:
0000-0001-8819-4660
Publisher:
Elsevier
Journal:
Journal of Computational Physics More from this journal
Volume:
7
Issue:
June 2020
Article number:
100066
Publication date:
2020-06-30
Acceptance date:
2020-05-22
DOI:
ISSN:
0021-9991
Language:
English
Keywords:
Pubs id:
1114441
Local pid:
pubs:1114441
Deposit date:
2020-06-23

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP