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We present preliminary results of a 2 dimensional simulation of an interacting binary white dwarf (IBWD) system. The IBWDs are characterized by extreme mass ratios $q\approx0.02$ and nearly pure helium accretion disks. The viscous fliud flow is modelled using the numerical method of smoothed particle hydrodynamics (SPH), and the equations of motion are solved in the inertial reference frame centered at the system center of mass.