Averaging methods with isotropy conservation in the FHP-GP CA model

This paper presents the results of a research into the anisotropy factor introduced by the hexagonal structure of a cellular array in a discrete model of a gas-powder flow with an integer alphabet and a hexagonal neighborhood structure at the stage of calculating the average values of pressure and flow velocity. The averaging method to obtain isotropic velocity and pressure fields with an arbitrary slope angle to the coordinate axes is formulated. The conclusions reached are supported by the results of the computational experiments conducted with the help of a specialized software package on a computing cluster.