7 citations · 12 across the 4 of their papers we have counts for
5 papers
An ensemble of Gaussian fields with multifractal statistics for turbulence
Mark Warnecke, Lukas Bentkamp, Gabriel B. Apolinário +2
Obtaining accurate field statistics continues to be one of the major challenges in turbulence theory and modeling. From the various existing modeling approaches, multifractal model…
A Linear Stochastic Model of Turbulent Cascades and Fractional Fields
Gabriel B. Apolinário, Geoffrey Beck, Laurent Chevillard +2
Turbulent cascades characterize the transfer of energy injected by a random force at large scales towards the small scales. In hydrodynamic turbulence, when the Reynolds number is…
Eddy-Viscous Modeling and the Topology of Extreme Circulation Events in Three-Dimensional Turbulence
G. B. Apolinário, L. Moriconi, R. M. Pereira +1
We discuss the role of particular velocity field configurations -- instantons, for short -- which are supposed to dominate the flow during the occurrence of extreme turbulent circu…
Space-time statistics of a linear dynamical energy cascade model
Gabriel B. Apolinário, Laurent Chevillard
A linear dynamical model for the development of the turbulent energy cascade was introduced in Apolinário \emph{et al} (J. Stat. Phys. \textbf{186}, 15 (2022)). This partial differ…
Large Fluctuations in Stochastic Models of Turbulence
Gabriel B. Apolinário
This dissertation discusses the intermitency phenomenon in three models of turbulence, employing analytical and numerical techniques in the analysis of stochastic processes and the…