Collaborator: J. Fuhrmann
,
K. Gärtner
Cooperation with: GeoForschungsZentrum Potsdam
Description:
As a continuation of previous work, a careful investigation of twodimensional solutions
of the thermal convection system
 
(1) 
in sedimental basin geometries has been undertaken. With high
probability, the fluctuations of the solutions obtained can be
associated with quasiperiodical and chaotical behavior of the
underlying physical system. In order to obtain relevant statements in
this direction, nonlinear time series analysis has been used to
investigate the time series of the Nusselt number which reflects the
heat transfer through the system. Visual inspection as well as
timeseriesbased estimates of Lyapunov exponents strongly suggest that the
hypothesis of chaos is true.
This corresponds well with analytical investigations undertaken during this
project.
Fig. 1:
Quasiperiodic
and chaotic behavior of flow field (time delay embedding of Nusselt
number time series)

LaTeX typesetting by I. Bremer
9/9/2002