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

S. V. Dolgov, A. P. Smirnov, E. E. Tyrtyshnikov

Research output: Contribution to journalArticlepeer-review

8 Citations (SciVal)

Abstract

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.

Original languageEnglish
Pages (from-to)268-282
Number of pages15
JournalJournal of Computational Physics
Volume263
Early online date22 Jan 2014
DOIs
Publication statusPublished - 15 Apr 2014

Keywords

  • DMRG
  • High-dimensional problems
  • Hybrid methods
  • Ionospheric irregularities
  • MPS
  • Plasma waves and instabilities
  • Tensor train format
  • Vlasov equation

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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