An Expanded Concept of the Borrowed Time as a Mean of Increasing the Average Speed Isotropy on Regular Grids

摘要

In this work it is investigated how the proper choice of the underlying grid for computer simulations in complex systems can increase its observed isotropy; thus increasing dependability of the obtained results. The square lattice with both the von Neumann and the Moore neighborhood as well as the hexagonal lattice are being considered. The average speed isotropy is examined with regard to different length scales. The concept of the borrowed time is reintroduced and expanded for the square lattice with the Moore neighborhood. It is shown that such treatment can decrease the anisotropy of the average speed without increasing complexity of the calculations.