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We have simulated numerically a two-dimensional electrohydrodynamic (EHD) plume. We have used a technique mixing finite elements and particle methods. A quasiregular mesh, following the lines of the electric field, has been built to better describe the density of charge at the nodes. The influence of the electric field on the injection of charge has been taken into account. We show the results of several simulations for different values of the applied tension.