In idealised driven subsonic MHD boxes, Arepo, Athena and Ramses all show dynamo amplification whose residual differences are explained by numerical diffusion, with no systematic advantage of constrained transport.
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A model based on Chandrasekhar's 1951 time-invariant quantity quantitatively explains the Mach-number dependence of the density power spectrum slope in isothermal supersonic turbulence and demonstrates that the slope cannot reliably determine the Mach number.
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A comparison of numerical schemes for driven subsonic MHD turbulence
In idealised driven subsonic MHD boxes, Arepo, Athena and Ramses all show dynamo amplification whose residual differences are explained by numerical diffusion, with no systematic advantage of constrained transport.
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The slope of the power spectrum of the density field in isothermal supersonic compressible turbulence
A model based on Chandrasekhar's 1951 time-invariant quantity quantitatively explains the Mach-number dependence of the density power spectrum slope in isothermal supersonic turbulence and demonstrates that the slope cannot reliably determine the Mach number.