194 citations · 1.5k across the 66 of their papers we have counts for
13 papers · 1 filter
Analytic structure of solutions of the one-dimensional Burgers equation with modified dissipation
Walter Pauls, Samriddhi Sankar Ray
We use the one-dimensional Burgers equation to illustrate the effect of replacing the standard Laplacian dissipation term by a more general function of the Laplacian -- of which hy…
Transition from dissipative to conservative dynamics in equations of hydrodynamics
Debarghya Banerjee, Samriddhi Sankar Ray
We show, by using direct numerical simulations and theory, how, by increasing the order of dissipativity () in equations of hydrodynamics, there is a transition from a dissipati…
Multiscaling in Hall-Magnetohydrodynamic Turbulence: Insights from a Shell Model
Debarghya Banerjee, Samriddhi Sankar Ray, Ganapati Sahoo +1
We show that a shell-model version of the three-dimensional Hall-magnetohydrodynamic (3D Hall-MHD) equations provides a natural theoretical model for investigating the multiscaling…
Real-space Manifestations of Bottlenecks in Turbulence Spectra
Uriel Frisch, Samriddhi Sankar Ray, Ganapati Sahoo +2
An energy-spectrum bottleneck, a bump in the turbulence spectrum between the inertial and dissipation ranges, is shown to occur in the non-turbulent, one-dimensional, hyperviscous…
Nelkin scaling for the Burgers equation and the role of high-precision calculations
Sagar Chakraborty, Uriel Frisch, Walter Pauls +1
Nelkin scaling, the scaling of moments of velocity gradients in terms of the Reynolds number, is an alternative way of obtaining inertial-range information. It is shown numerically…
Turbulence in non-integer dimensions by fractal Fourier decimation
Uriel Frisch, Anna Pomyalov, Itamar Procaccia +1
Fractal decimation reduces the effective dimensionality of a flow by keeping only a (randomly chosen) set of Fourier modes whose number in a ball of radius is proportional to $…