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This is a Quantitative Study study.

October 2, 2025Open Access

Structure-preserving long-time simulations of turbulence in magnetized ideal fluids

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This analysis explores turbulence in magnetohydrodynamics models, highlighting their Hamiltonian structure and vorticity dynamics.

Long-time simulations reveal differing vorticity dynamics among models, with RMHD forming sharp vortex filaments.
The study indicates an inverse cascade of magnetic energy and the mean-square magnetic potential confirmed via spectral scaling diagrams.
Discretization methods employed preserve Hamiltonian structure, ensuring accurate representations of phase space behavior.
Both Hazeltine’s model and the CHM produce inverse cascades of kinetic energy, contrasting RMHD's behavior.

Modin et al. (2025) studied this question.

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