6. Conclusion

An important property of difference schemes in multidimensional flow simulations is that they keep the magnetic field divergence-free in difference solutions. An adverse aspect of this defect is the unphysical transport of matter orthogonal to the field H [2].

Note that the zero-divergence requirements to difference schemes get more stringent as applied to the solution of diffusion problems. A violation of this requirement results in the accumulation of errors and loss of solution structure, especially in problems with high conductivity gradients.
