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Numerical Simulation of the Electrically Conducting Flows in the External Magnetic Field

T. G. Elizarova, I. S. Kalachinskaya, Yu. V. Sheretov, I. A. Shirokov

math-pharXiv:math-ph/0407074

Abstract

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.

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