Abstract Details
Abstracts
Author: Andre Gianesini Odu
Requested Type: Pre-Selected Invited
Submitted: 2019-02-21 15:58:29
Co-authors: J.W. Banks
Contact Info:
Rensselaer Polytechnic Institute
110 8th Street
Troy, NY 12180
Rensselaer
Abstract Text:
The kinetic code LOKI [1,2] simulates solutions to single- and multi-species Vlasov-Maxwell and Vlasov-Poisson systems in 2+2-dimensional phase space; at its core are a discretely conservative finite difference formulation of the governing equations, a minimally dissipative nonlinear scheme based on the well-known WENO approach, and MPI parallelism. In this talk, we discuss details of the algorithms and their fourth- and sixth-order accurate formulations, and advocate the use of high-order finite difference schemes to confront the elevated cost of direct kinetic simulation in high-dimensional phase space. Results of code verification studies, through the method of manufactured solutions and comparison to classical Landau damping, and physically motivated applications, such as the growth of longitudinal and transverse instabilities in single- and multi-species plasmas [3], are presented.
[1] "High-Order Accurate Conservative Finite Difference Methods for Vlasov Equations in 2D+2V", J.W. Banks, A. Gianesini Odu, R.L. Berger, T.Chapman, W.T. Arrighi, and S.Brunner. SIAM J. Sci. Comput. (submitted).
[2] "A new class of non-linear, finite-volume methods for Vlasov simulation", J.W. Banks, J.A.F. Hittinger. IEEE T. Plasma. Sci., 38
(2010).
[3] "Longitudinal and Transverse Instability of Ion Acoustic Waves", T. Champan, R.L. Berger, B.I. Cohen, J.W. Banks, and S. Brunner. Phys. Rev. Lett., 119 (2017).
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