Abstract
From the data of a direct numerical simulation the three-dimensional coherent structures of an incompressible, spatially evolving flat-plate boundary layer have been calculated using the POD method. By Galerkin projection of the Navier-Stokes equations onto the corresponding system of eigenfunctions then a low-dimensional model of the flow in the form of a system of ODE's has been derived. In a region of the boundary layer just beyond the spike stages of transition this system displays deterministic chaos that has been quantified by determining its Lyapunov exponents.
Original language | English (US) |
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Pages (from-to) | 73-77 |
Number of pages | 5 |
Journal | Applied Scientific Research |
Volume | 51 |
Issue number | 1-2 |
DOIs | |
State | Published - Jun 1993 |
Keywords
- chaos
- coherent structures
- dynamical systems
ASJC Scopus subject areas
- General Engineering