fluid and electrodynamics

Alok S

I am working on a problem that involves mass transport and electrodynamics. The mass transfer problem is best solved by the flux-corrected transport method, I believe. The electrodynamics problem is of the type divergence( sigma . E) = 0 where sigma is a known function of position and E is the independent variable.

Would someone know (i) whether any of the CFD softwares implement FCT and (ii) whether there is a software out there which would be best suited for this problem?

Thanks in advance. -Alok