Journal
JOURNAL OF FLUID MECHANICS
Volume 455, Issue -, Pages 175-193Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022112001007340
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The subject of the present work is the start-up vortex issuing from a sharp trailing edge accelerated from rest in still air. A numerical simulation of the flow has been performed in the case of a semi-infinite flat plate by solving the Navier-Stokes equations in the psi-omega formulation. The numerical algorithm is based on a fast multigrid implicit integration of the difference equations in an unstructured mesh that is dynamically built to minimize the computational costs. A local refinement of the mesh near the edge of the plate increases the accuracy of the simulation. The results show that the asymptotic stage of the vortex evolution is self-similar in the mean, but the appearance of instabilities produces a time-dependent flow which is not instantaneously self-similar.
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