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Scientific article
Open access
English

Stationary Flow Past a Semi-Infinite Flat Plate: Analytical and Numerical Evidence for a Symmetry-Breaking Solution

Published inJournal of statistical physics, vol. 127, no. 1, p. 133-170
Collection
  • Open Access - Licence nationale Springer
Publication date2007
Abstract

We consider the question of the existence of stationary solutions for the Navier Stokes equations describing the flow of a incompressible fluid past a semi-infinite flat plate at zero incidence angle. By using ideas from the theory of dynamical systems we analyze the vorticity equation for this problem and show that a symmetry-breaking term fits naturally into the downstream asymptotic expansion of a solution. Finally, in order to check that our asymptotic expressions can be completed to a symmetry-breaking solution of the Navier–Stokes equations we solve the problem numerically by using our asymptotic results to prescribe artificial boundary conditions for a sequence of truncated domains. The results of these numerical computations a clearly compatible with the existence of such a solution.

Keywords
  • Navier-Stokes equations
  • Semi-infinite plate
  • Symmetry-breaking
Citation (ISO format)
BICHSEL, Denis, WITTWER, Peter. Stationary Flow Past a Semi-Infinite Flat Plate: Analytical and Numerical Evidence for a Symmetry-Breaking Solution. In: Journal of statistical physics, 2007, vol. 127, n° 1, p. 133–170. doi: 10.1007/s10955-006-9248-y
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Article (Published version)
accessLevelPublic
Identifiers
ISSN of the journal0022-4715
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