## 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 language | English |
---|---|

Pages (from-to) | 268-282 |

Number of pages | 15 |

Journal | Journal of Computational Physics |

Volume | 263 |

Early online date | 22 Jan 2014 |

DOIs | |

Publication status | Published - 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