Modelling and simulation of several interacting cellular automata

Abstract

Cellular Automata are used for modelling and simulation of many systems. In some applications, the system is formed by a set of subsystems that can be modelled separately, but, in such cases, the existence of interactions between these subsystems requires additional modelling and computer programming. In this paper we propose a modelling methodology for the simulation of a set of Cellular Automata models that interact with each other. The modelling methodology is described, together with an insight on implementation details. Also, it is applied to a particular Cellular Automata model, the Sanpile Model, to illustrate its use and to obtain some example simulations.

Developing a Simple Model for Sand-Tool Interaction and Autonomously Shaping Sand

“…Most of the analyses are based on extensive empirical results and application of theory of plastic equilibrium to the mechanics of vehicle-terrain interaction. Because of its accuracy and computational efficiency, Bekker's terramechanics are often implemented in conjunction with other simulator environments [8,10,9]. It is also often used as a criteria for comparing accuracy of a simulation [11].…”

“…Some of the most common results from terramechanics that finds their way to vehiclesoil simulators are: i) pressure sinkage relationship [5,6] to simulate vehicle wheel compressing soil; ii) maximum shear stress to simulate vehicle wheel slippage [6]; iii) force calculation for soil-tool interaction [12]. Force calculation proves quite useful in tillage and bulldozing applications and hence are often implemented in conjunction with other simulations [10].…”

“…Actually using these ideas to simulate and visualize interactions were done recently. For simulating excavator and sand interaction, theory of BCRE was applied to simulate the time evolution of sand pile [10]. This work also used an additional height-map to describe sand on the flat excavator tool.…”