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http://hdl.handle.net/1942/2851
Title: | Hydrodynamic fluctuations in the Kolmogorov flow: Nonlinear regime | Authors: | BENA, Ioana Baras, F. Mansour, M.M. |
Issue Date: | 2000 | Publisher: | AMERICAN PHYSICAL SOC | Source: | PHYSICAL REVIEW E, 62(5). p. 6560-6570 | Abstract: | In a previous paper [I. Bena, RI. Malek Mansour, and F. Baras, Phys. Rev. E 59, 5503 (1999)] the statistical properties of Linearized Iiolmogorov flow were studied, using the formalism of fluctuating hydrodynamics. In this paper the nonlinear regime is considered, with emphasis on the statistical properties of the flow near the first instability. The normal form amplitude equation is derived for the case of an incompressible fluid and the velocity field is constructed explicitly above (but close to) the instability. The relative simplicity of this flow allows one to analyze the compressible case as well. Using a perturbative technique, it is shown that close to the instability threshold the stochastic dynamics of the system is governed by two coupled nonlinear Langevin equations in Fourier space. The solution of these equations can be cast into the exponential of a Landau-Ginzburg functional, which proves to be identical to the one obtained for the case of an incompressible fluid. The theoretical predictions are confirmed by numerical simulations of the nonlinear fluctuating hydrodynamic equations. | Notes: | Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium. Free Univ Brussels, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium.Bena, I, Limburgs Univ Ctr, Univ Campus, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/2851 | DOI: | 10.1103/PhysRevE.62.6560 | ISI #: | 000165341700090 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2001 |
Appears in Collections: | Research publications |
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