Low-rank approximation in the numerical modeling of the Farley–Buneman instability in ionospheric plasma

We consider numerical modeling of the Farley–Buneman instability in the Earth's ionosphere plasma. The ion behavior is governed by the kinetic Vlasov equation with the BGK collisional term in the four-dimensional phase space, and since the finite difference discretization on a tensor product gr...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational physics 2014-04, Vol.263, p.268-282
Main Authors: Dolgov, S.V., Smirnov, A.P., Tyrtyshnikov, E.E.
Format: Article
Language:English
Subjects:
Computation
DMRG
High-dimensional problems
Hybrid methods
Instability
Ionospheric irregularities
Mathematical analysis
Mathematical models
Matlab
MPS
Plasma (physics)
Plasma waves and instabilities
Separation
Tensor train format
Tensors
Vlasov equation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider numerical modeling of the Farley–Buneman instability in the Earth's ionosphere plasma. The ion behavior is governed by the kinetic Vlasov equation with the BGK collisional term in the four-dimensional phase space, and since the finite difference discretization on a tensor product grid is used, this equation becomes the most computationally challenging part of the scheme. To relax the complexity and memory consumption, an adaptive model reduction using the low-rank separation of variables, namely the Tensor Train format, is employed. The approach was verified via a prototype MATLAB implementation. Numerical experiments demonstrate the possibility of efficient separation of space and velocity variables, resulting in the solution storage reduction by a factor of order tens.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2014.01.029