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

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Published in Journal of Statistical Physics. 2007, vol. 127, no. 1, p. 133-170
Collection Open Access - Licence nationale Springer
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 equationsSemi-infinite plateSymmetry-breaking
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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. https://archive-ouverte.unige.ch/unige:36381

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Deposited on : 2014-05-06

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