[Next]:

pdelib - Algorithms and software components

[Up]:

Project descriptions

[Previous]:

Two-dimensional numerical simulation of a DMFC

 [Contents] 

 [Index] 

Dynamics of thermal convection in sedimental basins

Collaborator: J. Fuhrmann , K. Gärtner  

Cooperation with: GeoForschungsZentrum Potsdam

Description:

As a continuation of previous work, a careful investigation of two-dimensional solutions of the thermal convection system  

$$\begin{split} \text{Mass balance:}\quad & \partial_t (\varp... ...i)\lambda_s)\nabla T - T \tilde\rho_fc_f {\bf v}\ \end{split}$$ (1)

in sedimental basin geometries has been undertaken. With high probability, the fluctuations of the solutions obtained can be associated with quasi-periodical 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 time-series-based 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: Quasi-periodic and chaotic behavior of flow field (time delay embedding of Nusselt number time series)

[Next]:

pdelib - Algorithms and software components

[Up]:

Project descriptions

[Previous]:

Two-dimensional numerical simulation of a DMFC

 [Contents] 

 [Index]