On the accurate calculation of vortex shedding

Christopher R. Anderson, Claude Greengard, Leslie Greengard, Vladimir Rokhlin

Research output: Contribution to journalArticlepeer-review

Abstract

The issue of accuracy and convergence for numerical calculations in situations in which the exact solution of the Navier-Stokes equations (under the imposed initial and boundary conditions) is unstable is discussed. If one relies on roundoff error or truncation error (or the randomness of a stochastic scheme) in order to perturb the computed solution away from the unstable one, then the computed result cannot be accurate. Instead, one must explicitly provide perturbations in order to compute accurately flows of physical interest. Computational results for flow past an impulsively started cylinder are presented.

Original languageEnglish (US)
Pages (from-to)883-885
Number of pages3
JournalPhysics of Fluids A
Volume2
Issue number6
DOIs
StatePublished - 1990

ASJC Scopus subject areas

  • Engineering(all)

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