We simulate two prototype flow cases in laminar state and compare with available experimental results in order to evaluate the appropriateness of mathematical models and the accuracy of direct numerical simulation in electro-magneto-hydrodynamic (EMHD) flow control. We first present a method for computing accurately the Lorentz force. We then consider two electro-magnetic tiles corresponding to different sizes and field magnitudes. We perform a systematic DNS study, with free-stream velocity U =0 on both tile configurations, and with free-stream velocity U = 0.2 m/s on one of the tile configurations. The good agreement between simulation and experiment validates the modeling of the Lorentz force, and some insight is gained on the question of force penetration as a function of the size and spacing of the tiles, and on the corresponding flow modification.
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