Numerical Simulation of the Electrically Conducting Flows in the   External Magnetic Field
  The paper contains the original mathematical model that describes the incompressible electrically conducting fluid flows under the influence of the electromagnetic field - quasi-magneto-hydrodynamic (QMHD) equation system. Simplified inductionless approximation of QMHD system for the quasi-neutral liquid is constructed and implemented for numerical simulation of Marangoni convection in melted semiconductor suppressed by the static external magnetic field. 
T. G. Elizarova, I. S. Kalachinskaya, Yu. V. Sheretov, I. A. Shirokov