Influence of Volumetric Geometry on Meteorological Time Series Measurements: Fractality and Thermal Flows

Hernandez, Patricio Pacheco; Ahumada, Gustavo Navarro; Garrido, Eduardo Mera; Zemelman de la Cerda, Diego

Abstract

This work analyzes the behavior of the boundary layer subjected to stresses by obstacles using hourly measurements, in the form of time series, of meteorological variables (temperature (T), relative humidity (RH), and magnitude of the wind speed (WS)) in a given period. The study region is Santiago, the capital of Chile. The measurement location is in a rugged basin geography with a nearly pristine atmospheric environment. The time series are analyzed through chaos theory, demonstrating that they are chaotic through the calculation of the parameters Lyapunov exponent (lambda > 0), correlation dimension (D-C < 5), Kolmogorov entropy (S-K > 0), Hurst exponent (0.5 < H < 1), and Lempel-Ziv complexity (LZ > 0). These series are simultaneous measurements of the variables of interest, before and after, of three different volumetric geometries arranged as obstacles: a parallelepiped, a cylinder, and a miniature mountain. The three geometries are subject to the influence of the wind and present the same cross-sectional area facing the measuring instruments oriented in the same way. The entropies calculated for each variable in each geometry are compared. It is demonstrated, in a first approximation, that volumetric geometry impacts the magnitude of the entropic fluxes associated with the measured variables, which can affect micrometeorology and, by extension, the climate in general. Furthermore, the study examines which geometry favors greater information loss or greater fractality in the measured variables.

Más información

Título según WOS: ID WOS:001603885600001 Not found in local WOS DB
Título de la Revista: FRACTAL AND FRACTIONAL
Volumen: 9
Número: 10
Editorial: MDPI
Fecha de publicación: 2025
DOI:

10.3390/fractalfract9100639

Notas: ISI