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Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk

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Figure 1. A polar grid in a disk based on  G with M = 8 and N = 16. The circle denotes the boundary
Table I. Grid renement analysis at T = 3.
Figure 2. Evolutionary vorticity contours for a vortex dipole colliding with a circular wall
Figure 3. Four vortex dipoles were seen after two complete dipole collisions at T = 120.
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