This thesis deals with modeling of major ions outflow in the polar cap at altitudesrnhigher than 400km. Different ion outflow models are numerical investigated and the prosrnand cons of these models are discussed. Observations are crucial for model validations. Inrnthis work we have used Akebono Satellite observations, which showed that between 5000rnand 9000km altitudes H+ and 0+ can have higher outflow velocities in the day-side regionrnthat on the night-side [Abe and et al,1993a, 1993b]. classical polar wind model cannotrnexplain fully these observations [Schunk and etal,1981, 1988]. In this thesis, in order tornaddress the observation we discuss hydrodynamic model by considering driven shock wave.rnMost of observed properties are well explained by using this model