This article is cited in 38 papers

Fast technique for solving the $N$-body problem in flow simulation by vortex methods

G. Ya. Dynnikova

Research Institute of Mechanics, Moscow State University, Michurinskii pr. 1, Moscow, 119192, Russia

Abstract: A fast algorithm is proposed for solving the $N$-body problem arising in flow simulation when the flow is represented as a set of many interacting vortex elements. The algorithm is used to compute the flow over a circular cylinder at high Reynolds numbers.

Key words: incompressible flow, vortex methods, $N$-body problem, flow over a cylinder, crisis of resistance.

UDC: 519.634

Received: 29.08.2008

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:8, 1389–1396

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