Lattice Boltzmann model for collisionless electrostatic drift wave turbulence obeying Charney-Hasegawa-Mima dynamics

TL;DR

This paper develops a lattice Boltzmann method for simulating collisionless electrostatic drift wave turbulence based on the Charney-Hasegawa-Mima model, offering a novel numerical approach for plasma turbulence analysis.

Contribution

It introduces a lattice Boltzmann model that accurately reproduces CHM dynamics, including additional shear effects, and compares well with traditional finite difference methods.

Findings

LBM captures key CHM dynamics with additional shear effects.

Shear reduces with decreasing drift ratio, linked to compressibility.

Numerical results agree with conventional finite difference solutions.

Abstract

A lattice Boltzmann method (LBM) approach to the Charney-Hasegawa-Mima (CHM) model for adiabatic drift wave turbulence in magnetised plasmas, is implemented. The CHM-LBM model contains a barotropic equation of state for the potential, a force term including a cross-product analogous to the Coriolis force in quasigeostrophic models, and a density gradient source term. Expansion of the resulting lattice Boltzmann model equations leads to cold-ion fluid continuity and momentum equations, which resemble CHM dynamics under drift ordering. The resulting numerical solutions of standard test cases (monopole propagation, stable drift modes and decaying turbulence) are compared to results obtained by a conventional finite difference scheme that directly discretizes the CHM equation. The LB scheme resembles characteristic CHM dynamics apart from an additional shear in the density gradient direction. The occuring shear reduces with the drift ratio and is ascribed to the compressible limit of the underlying LBM.