ALLIANCE: Spectral solver for kinetic plasma turbulence

Evgeny A. Gorbunov, Bogdan Teaca

Research output: Contribution to journalArticlepeer-review


The ALLIANCE (ALLIANCE - spectrAL soLver for kInetic plAsma turbuleNCE) code is developed to solve a new set of four-dimensional electromagnetic drift-kinetic equations in slab geometry [1]. The nonlinear equations are useful for the study of magnetized plasma systems at scales comparable to, or larger than the ion gyroradius. In particular, it is suited for the study the kinetic turbulent cascade in astrophysical plasma, while preserving finite Larmor radius effects at the fluid-kinetic transition. The equations solved are in spectral Fourier-Laguerre-Hermite form, a pseudo-spectral approach is used for the nonlinear terms, and the code is parallelised over multiple directions. After a presentation of the code, validation runs are shown, and benchmarks for serial and parallel computations are presented.
Original languageEnglish
Article number112550
Number of pages17
JournalJournal of Computational Physics
Early online date12 Oct 2023
Publication statusPublished - 15 Dec 2023


  • Drift kinetic equations
  • Plasma turbulence
  • Pseudo-spectral solver

ASJC Scopus subject areas

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


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