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 …

To study the surface forming mechanism of the solid–liquid two-phase abrasive flow
processing, the large eddy simulation method was used. Taking a 90° stainless steel elbow …

This paper presents a locally and dynamically adaptive residual-based closure model for
density stratified incompressible flows. The method is based on the three-level form of the …

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Temporal and spatio-temporal (turbulence) distributed chaos in B\'{e} nard-Marangoni and
Rayleigh-B\'{e} nard convection have been studied using results of laboratory experiments …

Spatially distributed chaos (turbulence) in the cumulus, stratocumulus, stratiform, cirrus and
cirrus mammatus clouds have been studied using results of direct numerical simulations and …

This dissertation presents a robust numerical method for the class of coupled systems
comprised of multiple interacting partial differential equations (PDE). Particular emphasis is …

Turbulence in the ionic migration and in the microfluidic electro-hydrodynamic convection
(mixing) under constant and low-frequency external electric field has been studied using …

The velocity-vorticity correlation integral (Chkhetiani invariant) is an invariant of a viscous
Karman-Howarth equation. In the tree-dimensional space this invariant can naturally …