Invariantes geométricos de los tensores de gradiente de campo magnético y gradiente de velocidad en simulaciones de plasmas espaciales turbulentos

Abstract

Within the framework of perceptions from extensive in situ observations of the solar wind, where an extensive amount of fluctuations in magnetic fields and velocity are observed in the transverse plane of the magnetic field, guides a better understanding of the appearance of such intermittent fluctuations which requires systematic analysis of the velocity gradient tensor and magnetic field. This tensor provides detailed information on the spatial geometric characteristics of the observed fluctuations and their evolution with the scale, through its three invariants P, Q and R; invariants describing the local excess of turbulence over strain rate and self-amplification over energy production in incompressible flow. The joint probability density function between Q and R has self-similar “teardrop” shapes in fully developed turbulent flows. The implementation of the numerical codes was tested in two-dimensional and three-dimensional simulations of space plasmas, and they were carried out with different numerical schemes. The results obtained are of great importance for the study of these highly complex systems.