Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
1995-02-17
Nonlinear Sciences
Cellular Automata and Lattice Gases
Scientific paper
10.1142/S0129183195000253
Four different kinds of laminar flows between two parallel plates are investigated using the Lattice Boltzmann Method (LBM). The LBM accuracy is estimated in two cases using numerical fits of the parabolic velocity profiles and the kinetic energy decay curves, respectively. The error relative to the analytical kinematic viscosity values was found to be less than one percent in both cases. The LBM results for the unsteady development of the flow when one plate is brought suddenly at a constant velocity, are found in excellent agreement with the analytical solution. Because the classical Schlichting's approximate solution for the entrance--region flow is not valid for small Reynolds numbers, a Finite Element Method solution was used in order to check the accuracy of the LBM results.
-- Resiga Romeo Susan
Sofonea Victor
Szilagyi Bela
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