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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2026 Volume 32, Issue 1, Pages 158–166 (Mi vsgu812)

Mathematical Methods in Natural Sciences

Interpolation of pollutant concentration measurement data taking into account local wind speed

N. A. Baranov

Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow, Russian Federation

Abstract: This paper presents an approach to reconstructing the spatial distribution of a pollutant based on measurement data from several monitoring stations. The traditional interpolation by radial basis functions, which depend only on distance, does not allow taking into account the anisotropic nature of the propagation of pollutants in the presence of wind. Instead of the Cartesian distance, it is proposed to calculate the effective distance between points, which is a function of wind direction and speed. Analytical dependencies for calculating the effective distance are obtained and modeling examples are presented.

Keywords: interpolation, radial basis functions, pollutant distribution.

UDC: 51-7

Received: 20.01.2026
Accepted: 18.03.2025

DOI: 10.18287/2541-7525-2026-32-1-158-166



© Steklov Math. Inst. of RAS, 2026