295 citations · 3.9k across the 116 of their papers we have counts for
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Equilibrium and nonequilibrium properties of Euler turbulence
Mahendra K. Verma, Soumyadeep Chatterjee
In this article, we report the equilibrium and nonequilibrium features of two-dimensional (2D) and three-dimensional (3D) Euler turbulence. To obtain a full range of equilibrium sp…
Renormalization of shell model of turbulence
Mahendra K. Verma, Shadab Alam
Renormalization enables a systematic scale-by-scale analysis of multiscale systems. In this paper, we employ \textit{renormalization group} (RG) to the shell model of turbulence an…
Large-eddy simulation of Rayleigh-Bénard convection at extreme Rayleigh numbers
Roshan Samuel, Ravi Samtaney, Mahendra K. Verma
We adopt the stretched spiral vortex sub-grid model for large-eddy simulation (LES) of turbulent convection at extreme Rayleigh numbers. We simulate Rayleigh-Bénard convection (RBC…
Predictions of Reynolds and Nusselt numbers in turbulent convection using machine-learning models
Shashwat Bhattacharya, Mahendra K Verma, Arnab Bhattacharya
In this paper, we develop a multivariate regression model and a neural network model to predict the Reynolds number (Re) and Nusselt number in turbulent thermal convection. We comp…
Prandtl number dependence of the small-scale properties in turbulent Rayleigh-Bénard convection
Shashwat Bhattacharya, Mahendra K. Verma, Ravi Samtaney
We analyze the Prandtl number (Pr) dependence of spectra and fluxes of kinetic energy, as well as the energy injection rates and dissipation rates, of turbulent thermal convection…
Variable energy flux in turbulence
Mahendra K. Verma
In three-dimensional hydrodynamic turbulence forced at large length scales, a constant energy flux flows from large scales to intermediate scales, and then to small scales.…