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Hyperviscosity, Galerkin truncation, and bottlenecks in turbulence.

It is shown that the use of a high power alpha of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid conservative dynamics with a finite…
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Purely helical absolute equilibria and chirality of (magneto)fluid turbulence

Abstract Purely helical absolute equilibria of incompressible neutral fluids and plasmas (electron, single-fluid and two-fluid magnetohydrodynamics) are systematically studied with the help of…
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Gyrokinetic statistical absolute equilibrium and turbulence

A paradigm based on the absolute equilibrium of Galerkin-truncated inviscid systems to aid in understanding turbulence [T.-D. Lee, "On some statistical properties of hydrodynamical and…
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Helicities tighten up the turbulent gases.

The helicity-effect problem for a single compressible flow is transformed to the pure-background-field-effect one, reducing to the pure (compressible-version) Taylor-Proudman effect (TPE) and/or its…
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Vortex dynamics and flow patterns in a two-dimensional oscillatory lid-driven rectangular cavity

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Near-wall effect on flow around an elliptic cylinder translating above a plane wall

In this work, the flow over an elliptic cylinder near a moving wall is investigated for Reynolds numbers less than 150. Here, the ratio between the gap (i.e., the distance between the cylinder and…
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Three-dimensional wake transition behind an elliptic cylinder near a moving wall

Three-dimensional flow past an elliptic cylinder with an aspect ratio of 0.5 near a moving bottom wall is investigated numerically for gap ratios of G / D = 0.1 , 0.2 , 0.3 , and 0.4 (where G denotes…
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A numerical study of separation and stagnation points for steady and unsteady flow over an elliptic cylinder near a moving wall

Flow separation around an elliptic cylinder with an aspect ratio of 0.4 near a moving wall is investigated numerically for Re∈[5,150] with G/D∈[0.1,2] (where G denotes the distance between the…
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Vorticity and helicity decompositions and dynamics with real Schur form of the velocity gradient

The real Schur form (RSF) of a generic velocity gradient field ∇u is exploited to expose the structures of flows, in particular, our field decomposition resulting in two vorticities with only mutual…
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Thermodynamic and vortic structures of real Schur flows

A two-component-two-dimensional coupled with one-component-three-dimensional (2C2Dcw1C3D) flow may also be called a real Schur flow (RSF), as its velocity gradient is uniformly of real Schur form,…
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