From the 1 of 9 linked papers with an AI index.
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Disentangling intermittent flow structure contributions to anomalous scaling and multifractality in turbulence
Ritwik Mukherjee, Siddhartha Mukherjee
The paper introduces a vorticity‑thresholding and Biot–Savart filtering method to isolate intermittent flow structures in turbulence, showing how removing these structures restores…
Parity-Dependent Scaling of Velocity-Gradient Correlations in Turbulence
Anwesha Dey, Ritwik Mukherjee, Aikya Banerjee +1
We investigate two-point velocity-gradient correlation functions in homogeneous isotropic turbulence using exact relations and direct numerical simulations. The second-order gradie…
Reduction of Triadic Interactions Suppresses Intermittency and Anomalous Dissipation in Turbulence
Anikat Kankaria, Ritwik Mukherjee, Sugan Durai Murugan +2
We investigate how the defining statistical features of three-dimensional turbulence respond to systematic reductions of the Fourier-space triadic interaction network. Using direct…
Estimates for the 2D Navier-Stokes equations: the effects of forcing
Ritwik Mukherjee, John D. Gibbon, Dario Vincenzi
Mathematical estimates for the Navier-Stokes equations are traditionally expressed in terms of the Grashof number, which is a dimensionless measure of the magnitude of the forcing…
Geometric Intermittency in Turbulence
Ritwik Mukherjee, Siddhartha Mukherjee, I. V. Kolokolov +3
Equal-time scaling exponents in fully developed turbulence typically exhibit non anomalous scaling in the inverse cascade of two-dimensional (2D) turbulence and anomalous scaling i…
Intermittent fluctuations determine the nature of chaos in turbulence
Aikya Banerjee, Ritwik Mukherjee, Sugan Durai Murugan +2
We adapt recent ideas for many-body chaos in nonlinear, Hamiltonian fluids [Murugan \textit{et al.}, Phys. Rev. Lett. 127, 124501 (2021)] to revisit the question of the Reynolds nu…