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Alfvén waves and ideal two-dimensional Galerkin truncated magnetohydrodynamics

Alfvén waves and ideal two-dimensional Galerkin truncated magnetohydrodynamics

We investigate numerically the dynamics of two-dimensional Euler and ideal magnetohydrodynamics (MHD) flows in systems with a finite number of modes, up to ${4096}^{2}$, for which several quadratic invariants are preserved by the truncation and the statistical equilibria are known. Initial conditions are the Orszag-Tang vortex with a neutral X …