Abstract
In this paper, initial flows around an uniformly accelerated elliptic cylinder in an incompressible fluid are analysed from at rest by the finite difference method, and time histories of streamlines, equi-vorticity lines and drag coefficients are shown. The numerical schemes used here are the DuFort-Frankel technique for solving the vorticity equation and the DuFort-Frankel technique for solving the stream function. For the latter case, the discrete Fourier transform and the Gauss elimination are applied to the analysis of a block tridiagonal matrix. Especially, with 70 average iterations per time step for the SOR method, the Fourier series method are verified to be more than 10 times faster.
