The method of Fluid Location of the Atmosphere (FLA) [1][2][3] is the development of back trajectory statistics methods (BTS) [4][5][6], which allow to evaluate spatial structure of atmospheric contaminants, which are measured in a finite number of monitoring sites. In any variant of the BTS method, a fixed (Euler) grid is used to divide the investigated region into a set of fixed volume spatial cells. The common example of a fixed grid is a latitude -longitude grid. However, a latitude -longitude grid becomes inconvenient for solving some tasks, such as reconstructing of the concentration fields in the Polar Regions. The aim of this work is to build an alternative grid for the tasks of the FLA method, as well as to compare and analyze simulation results obtained on the basis of various grids.