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) |
|---|---|
| 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