Stationary Flow Past a Semi-Infinite Flat Plate: Analytical and Numerical Evidence for a Symmetry-Breaking Solution |
| |
Authors: | Denis Bichsel Peter Wittwer |
| |
Institution: | (1) Laboratoire de modélisation et simulation, HESSO, Ecole d’Ingénieurs de Genève, Switzerland;(2) Département de Physique Théorique, Université de Genève, Genève, Switzerland |
| |
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.
Mathematics Subject Classification (2000). 76D05, 76D25, 76M10, 41A60, 35Q35
Supported in part by the Fonds National Suisse. |
| |
Keywords: | Navier-Stokes equations semi-infinite plate symmetry-breaking |
本文献已被 SpringerLink 等数据库收录! |
|