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The ideal invariants present in the formalism of magnetohydrodynamics (MHD),i.e. global quantities that are conserved in the absence of sources anddissipative effects, play an important role in various theoretical andnumerical studies of MHD turbulence. The fluxes of these ideal invariantsrepresent separate channels that transfer the information across differentscales in a turbulent system. Once a statistically stationary state ofturbulence is reached, the amount of any ideal invariant quantity introduced inthe system by a forcing mechanism equals the amount of the same quantityremoved by the dissipative effects from the system. For highly developedturbulence, these two mechanisms act predominantly at different scales that arelargely separated. Since the ideal invariant quantities cascade between scales,a constant flux is generated with great implication on the state of the system.Numerically, controlling the ideal invariant fluxes levels for a turbulent MHDsystem is important for the analysis of fundamental MHD turbulence properties.We propose a forcing mechanism that controls the three ideal invariants of MHDturbulence: the total energy, the cross-helicity and the magnetic helicity.This forcing is implemented in the freely available TURBO solver, that is alsobriefly presented.

Controlling the level of the ideal invariant fluxes for MHD turbulence using TURBO spectral solver