ALE method is proposed for the moving boundary flow problems in which a fluid-phase is separated from a solid-body with time. In this paper, we apply to the ALE method based on finite element method for around a periodic moving ellictical body. Finite element schemes are Petrov-Galerkin finite element method with exponential weighting functions in space and numerically integrated in time by using a fractional step strategy with second-order accurate Adams-Bashforth explicit differencing for both convection and diffusion terms. Numerical samples are calculated a parallel computing with domain decomposition method by a 4-node PC cluster. Numerical results are discussed C_d, C_l, C_s and St number with various length and width ratio of an elliptical body.
