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This report presents numerical procedures for solving the equations of Magneto-Fluid-Dynamics (MFD). These equations consist of the Navier-Stokes equations coupled to the full set of Maxwell's equations. They govern flow within electromagnetic fields. The primary interest to the Air Force of this work is flow control about aerodynamic vehicles and thrust enhancement within scramjet engines via the interaction of external electromagnetic fields, produced on board, with the high speed flow about or through the vehicle. They have been solved for both external flow and internal flow. Test cases include the Hartmann flow problem, weakly ionized flow simulating the RAM-C flight experiment, highly ionized flow past a hemi-sphere-cylindrical body simulating the Zieman experiment and flow through the accelerator section of and 'energy by-pass' scramjet engine.