The development of a two-dimensional viscous incompressible flow generated from a deformable circular cylinder impulsively started into rectilinear motion is studied numerically for a wide range of Reynolds numbers (550 to 9500). The vorticity transport equation is solved by a second-order finite-difference method in both directions of the domains. The Poisson equation for the stream function is solved by a Fourier-Galerkin method in the one direction of the flow which we assume to remain symmetrical and second-order finite-difference. The advances in time are second-order Adams-Bashforth for Re = 550 to 3000 and fourth-order Runge-Kutta for Re greater than 3000. The computed results are compared qualitatively with experimental and numerical results done before in the particular non deformable case. The comparison is found to be satisfactory.
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