A first approach for a possible cellular automaton model of fluids dynamics

TL;DR

This paper introduces a preliminary cellular automaton model for simulating fluid dynamics on a 2D grid, demonstrating realistic effects through computational simulations without using differential equation solvers.

Contribution

It presents a novel cellular automaton approach for fluid dynamics simulation, avoiding traditional differential equation methods and enabling visual effects through simple rules.

Findings

Realistic fluid effects achieved in 2D simulations

Potential for high-performance 3D fluid modeling

Foundation for further development of cellular automaton fluid models

Abstract

In this paper I present a first attempt for a possible description of fluids dynamics by mean of a cellular automata technique. With the use of simple and elementary rules, based on random behaviour either, the model permits to obtain the evolution in time for a two-dimensional grid, where one molecule of the material fluid can ideally place itself on a single geometric square. By mean of computational simulations, some realistic effects, here showed by use of digital pictures, have been obtained. In a subsequent step of this work I think to use a parallel program for a high performances computational simulation, for increasing the degree of realism of the digital rendering by mean of a three-dimensional grid too. For the execution of the simulations, numerical methods of resolution for differential equations have not been used.