Enstrophy cascade in physical scales for the 3D Navier-Stokes equations
Keith Leitmeyer
TL;DR
This paper demonstrates the existence of an enstrophy cascade in physical scales for the 3D Navier-Stokes equations, independent of boundary conditions, under realistic flow assumptions.
Contribution
It establishes the enstrophy cascade phenomenon in physical scales for 3D Navier-Stokes equations without boundary condition restrictions, advancing understanding of turbulence.
Findings
Enstrophy cascade occurs in physical scales for 3D Navier-Stokes.
Cascade is independent of boundary conditions.
Results hold under realistic flow assumptions.
Abstract
An enstrophy cascade is exhibited for the Navier-Stokes equations in physical scales independently of boundary conditions under physically reasonable assumptions on the flow.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Navier-Stokes equation solutions · Computational Fluid Dynamics and Aerodynamics