#
Computational Fluid Dynamics at RuG

# Direct Numerical Simulation versus Dynamical System

### Low dimensional dynamical system

From DNS results at Re=22000 a proper orthogonal decomposition has been made.
The resulting functions have been used as basisfunctions
in a Galerkin approximation of the Navier-Stokes equations. Thus a
cheap low-dimensional dynamical system has been obtained with which a
bifurcation analysis during laminar-turbulent transition can be made.

The first movie below shows DNS results at Re=10000 showing two-periodic
behaviour. The second movie shows the behaviour of the `cheap imitation'
through the dynamical system. It is suggested to watch the two movies
simultaneously, and to the notice the common features.

DNS of 2-periodic Driven Cavity flow at Re=10,000. (269 kB)

* (W. Cazemier) *

Dynamical system simulation of 2-periodic Driven Cavity flow at Re=11,300.
(620 kB)

* (W. Cazemier) *

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Department of Mathematics

University of Groningen