Abstract
A method to integrate the vorticity-velocity form of two-dimensional or axi-symmetric incompressible Navier-Stokes equations is described. The method employs equi-potential lines and streamlines of an inviscid flow as coordinate lines and the velocity field is determined from the vorticity distribution with boundary conditions on the normal velocity only, while the tangential velocities are used as boundary conditions for the vorticity. The results of numerical experiments on time-dependent flow past an impulsively started circular cylinder and sphere are, then, presented to demonstrate the performance of the scheme. Numerical results show that the present method is very stable and accurate.
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