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The oscillating flow field including a droplet is simulated numerically by solving the Navier-Stokes equations using the arbitrary Lagrangian-Eulerian and level set coupled method. The oscillating pressure and velocity fields are shown to be simulated well. Parallel computations with a fine grid system are performed, and it is found that the surface-layer flow on the droplet is oscillating with a different timing and reversed before the reversal of the bulk flow. The acoustic streaming with large vortices is shown to appear in the average flow field.