Look up orszag tang vortex, cloud-shock interaction, magnetized blast, rotor problem,

Thanks Nishant, Could you recommend a reference for MHD benchmark in arc plasma and/or liquid conductors i.e. molten metals?

Can you be more specific to what your code was developed for? Interstellar simulations are common in MHD, but significantly different from something like exploding wires which are a common benchmark for MHD codes.

In a recent publication I used a set of exploding wire experiments to assess conductivity data and the accuracy of my MHD code (J. Stephens, A. Neuber, Phys. Rev. E. 86, 066409 (2012).),

Hello Amin, you are welcome. But, I do not have knowledge of MHD in molten metals or arc plasma. I would know more about space plasma applications.