Method and apparatus for simulating systems described by partial differential equations

作者: Stephen Wolfram

DOI:

关键词: Partial differential equationAlgorithmCellular automatonProcess (computing)Heat transferk-nearest neighbors algorithmMathematicsFlow (mathematics)Diffusion (business)Surface (mathematics)Mechanics

摘要: A method and apparatus are disclosed for using cellular automata to simulate systems described by partial differential equations such as those that describe the flow of fluid, diffusion or heat transfer. two-dimensional space is tessellated into a array regular hexagons. Flow cell through each its six sides from nearest neighbor cells represented value 1; any other condition 0. set rules specifies effect inward in terms an outward at least some same neighbors. Interaction with surface inhomogeneity simulated different specify produced when encounters cell. Outward one neighbors; next "tick" clock model, cycle repeats itself. Over long periods time tens thousands ticks clock, this process has been shown real fluid inclined straight-edge.

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