Tensor approach to software implementation of cellular automata model of diffusion

Abstract

Abstract The article provides a theoretical description of the tensor approach to the software implementation of the cellular automaton model of diffusion. A block-synchronous cellular automaton with a neighborhood of Margolus was chosen as a model. Within the framework of the proposed approach, the rotation of the automaton block clockwise or counterclockwise can be carried out using a special operation on tensors, namely convolution. The approach discussed in this paper allows you to use various frameworks aimed at parallelizing computations to organize scientific calculations on modern powerful graphics adapters.