Cellular Automaton Simulation of Viscous Free Surface Fluid Dynamics

by Robert N. Eli, West Virginia Univ, United States,

Document Type: Proceeding Paper

Part of: Hydraulic Engineering


It has been demonstrated elsewhere that the simple interaction of a two dimensional field of discrete particles traveling on a regular lattice yields large scale behavior closely approximating the continuum Navier-Stokes equations. Numerical experiments have been encouraging, yielding results that seem to represent complex flow fields accurately. Initial investigations into free surface fluid dynamics behaviour shows promise of appropriate flow field and surface wave representation. Experiments involving condensation of a dispersed gas to a free surface liquid, wave oscillations in a closed basin, and an unsteady uniform open channel flow, point out potential problems as well as opportunities.

Subject Headings: Surface waves | Fluid dynamics | Fluid flow | Free surfaces | Overland flow | Navier-Stokes equations | Wave equations

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