Abstract: A class of new scheme is constructed on the basis of vortex blob method combined with finite element method and infinite similar element method. The numerical solution of Navier-Stokes equation is obtained over the entire unbounded domain. The scheme overcomes the difficulties induced by both singularity of the solution of the equation near a convex corner point on the boundary any infinite point. It is simulated that fluid flows around a flat plate at large attack angles and initial results are presented.