Numerical Simulations of Fluid Dynamics with a Pair Interaction Automaton in Two Dimensions
D. A. Wolf-Gladrow
Alfred Wegener Institute for Polar and Marine Research,
D-2850 Bremerhaven, Federal Republic of Germany
R. Nasilowski
Universitat Oldenburg, FB Physik,
D-2900 Oldenburg, Federal Republic of Germany
A. Vogeler
Alfred Wegener Institute for Polar and Marine Research,
D-2850 Bremerhaven, Federal Republic of Germany
Abstract
We perform numerical experiments with a novel cellular-automaton fluid model. The model has simple pair-interaction rules and works in arbitrarily many dimensions; here we consider the two-dimensional case. By observing the smoothing-out of the velocity profile of a shear flow and the relaxation of a shear wave, we measure the kinematic shear viscosity and obtain a value of 
. To demonstrate the fluid-like behavior of our automaton model, we also simulate a flow past an obstacle (von Karman vortex street).
