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NUMERICAL SIMULATION OF INCOMPRESSIBLE

This paper presents numerical simulations of incompressible fluid flow problems in the presence of a magnetic field. The equations governing the flow consist of the Navier-Stokes equations of fluid motion coupled with Maxwell ́s equations of electromagnetics. The study of fluid flows under the influence of a magnetic field and with no free electric charges or electric fields is known as magnetohydrodynamics. The magnetohydrodynamics approximation is considered for the formulation of the nondimensional problem and for the characterization of similarity parameters. A finite-difference technique is used to discretize the equations. The simulation of incompressible magnetohydrodynamic fluid flows is illustrated by numerical problems for twodimensional cases.