Anisotropic Continuous-in-Scale Universal Multifractal Cascades: Simulation, Analysis and Correction Methods

• Published in: Mathematical geosciences Vol. 50; no. 7; pp. 827 - 859
• Main Authors: Ramanathan, Arun, Satyanarayana, A. N. V., Mandal, M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2018; Springer Nature B.V; Springer Verlag
• Subjects: Adaptation and Self-Organizing Systems; Anisotropy; Atmospheric and Oceanic Physics; Atmospheric models; Cascades; Chaotic Dynamics; Chemistry and Earth Sciences; Computational Complexity; Computer applications; Computer memory; Computer Science; Computer simulation; Computing time; Corrections; Density stratification; Dynamical Systems; Earth; Earth and Environmental Science; Earth Sciences; Environmental Engineering; Environmental Sciences; Fields; Frameworks; Geophysics; Geotechnical Engineering & Applied Earth Sciences; Hydrogeology; Isotropy; Mathematical models; Mathematical Software; Mathematics; Modeling and Simulation; Modelling; Nesting; Nonlinear Sciences; Ocean models; Ocean, Atmosphere; Physics; Probability; Scale (ratio); Scale invariance; Scaling; Sciences of the Universe; Statistical analysis; Statistical methods; Statistics; Statistics for Engineering; Stratification; Temperature (air-sea); Geophysical turbulence; Power-law scaling; Scale invariance; Nonlinear dynamics; Numerical simulations; Stochastic modeling

Continuous-in-scale multifractal cascades has long been an attractive choice for mathematically modeling turbulent and turbulent-like geophysical fields. These fields are usually anisotropic as they are subject to both stratification and rotation, thereby questioning the isotropy assumption often ma...