The dynamics of coherent structures in a flat-plate boundary layer

D. Rempfer; H. Fasel

doi:10.1007/BF01082517

The dynamics of coherent structures in a flat-plate boundary layer

D. Rempfer, H. Fasel

Aerospace and Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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	https://doi.org/10.1007/BF01082517
State	Published - Jun 1993

Keywords

chaos
coherent structures
dynamical systems

ASJC Scopus subject areas

Engineering(all)

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10.1007/BF01082517

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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.",

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AU - Fasel, H.

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AB - 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.

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KW - dynamical systems

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ER -

The dynamics of coherent structures in a flat-plate boundary layer

Abstract

Keywords

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