https://doi.org/10.1140/epjd/e2014-50161-0
Regular Article
Relativistic Vlasov code development for high energy density plasmas*
1
Institute of Applied Physics and Computational
Mathematics, Beijing
100088, P.R.
China
2
Key Laboratory of HEDP of the Ministry of Education, CAPT, Peking
University, Beijing
100871, P.R.
China
a
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received: 28 February 2014
Received in final form: 24 April 2014
Published online: 29 July 2014
Abstract
A newly developed relativistic Vlasov code is introduced. The governing Vlasov-Maxwell equation system is solved numerically in one-dimensional space and three-dimensional momentum space. Spherical coordinate system is adopted to characterize the momentum variables for its potential advantage on reducing computational cost. The resulting Vlasov equation is split into two advection equations with respect to position and momentum, respectively. They are solved with a conservative finite volume scheme, together with techniques suppressing numerical oscillations at sharp interfaces. Relativistic longitudinal plasma oscillations are investigated for different plasma temperatures and wave numbers. Results from code simulations are in good agreement with the existing theories.
Contribution to the Topical Issue “Theory and Applications of the Vlasov Equation”, edited by Francesco Pegoraro, Francesco Califano, Giovanni Manfredi and Philip J. Morrison.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014
