CELLULAR-AUTOMATA STUDIES OF CIRCULAR COUETTE FLOWS AND CHAOTIC MIXING

The results of numerical calculations of the velocity profiles and the viscosities of Boolean and Boltzmann cellular automata for circular C ouette flows in two dimensions are presented. The necessary forcing ru les to induce such flows are constructed. It is shown that the Boltzma nn cellular automata offer a more natural way of simulating flows arou nd curved boundaries. A comparison to the results for Poiseuille and p lanar Couette flows is made. The Boltzmann automata are used to study chaotic mixing in time-periodic flows between two eccentric circles. T he Poincare sections obtained are similar to those found in experiment s.