Energy spectrum in the dissipation range

2018 ◽  
Vol 3 (8) ◽  
Author(s):  
Sualeh Khurshid ◽  
Diego A. Donzis ◽  
K. R. Sreenivasan
Keyword(s):  
Energy Spectrum ◽  
Dissipation Range

scholarly journals Fractional hyperviscosity induced growth of bottlenecks in energy spectrum of Burgers equation solutions

2019 ◽  
Vol 92 (9) ◽  
Author(s):  
Debarghya Banerjee
Keyword(s):  
Energy Spectrum ◽  
Velocity Field ◽  
Burgers Equation ◽  
Space Velocity ◽  
Real Space ◽  
Analytical Results ◽  
Turbulent Fluids ◽  
Dissipation Range

Abstract Energy spectrum of turbulent fluids exhibit a bump at an intermediate wavenumber, between the inertial and the dissipation range. This bump is called bottleneck. Such bottlenecks are also seen in the energy spectrum of the solutions of hyperviscous Burgers equation. Previous work have shown that this bump corresponds to oscillations in real space velocity field. In this paper, we present numerical and analytical results of how the bottleneck and its real space signature, the oscillations, grow as we tune the order of hyperviscosity. We look at a parameter regime α ∈ [1, 2] where α = 1 corresponds to normal viscosity and α = 2 corresponds to hyperviscosity of order 2. We show that even for the slightest fractional increment in the order of hyperviscosity (α) bottlenecks show up in the energy spectrum. Graphical abstract

scholarly journals Energy spectrum in the dissipation range of fluid turbulence

1997 ◽  
Vol 57 (1) ◽  
pp. 195-201 ◽  
Author(s):  
D. O. MARTÍNEZ ◽  
S. CHEN ◽  
G. D. DOOLEN ◽  
R. H. KRAICHNAN ◽  
L.-P. WANG ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Fluid Turbulence ◽  
Theoretical Predictions ◽  
Dissipation Range ◽  
Good Agreement

High-resolution, direct numerical simulations of three-dimensional incompressible Navier–Stokes equations are carried out to study the energy spectrum in the dissipation range. An energy spectrum of the form A(k/kd)α exp[−βk/kd] is confirmed. The possible values of the parameters α and β, as well as their dependence on Reynolds numbers and length scales, are investigated, showing good agreement with recent theoretical predictions. A ‘bottleneck’-type effect is reported at k/kd≈4, exhibiting a possible transition from near-dissipation to far-dissipation.

Energy Spectrum in the Near Dissipation Range of High Resolution Direct Numerical Simulation of Turbulence

2005 ◽  
Vol 74 (5) ◽  
pp. 1464-1471 ◽  
Author(s):  
Takashi Ishihara ◽  
Yukio Kaneda ◽  
Mitsuo Yokokawa ◽  
Ken'ichi Itakura ◽  
Atsuya Uno
Keyword(s):  
Numerical Simulation ◽  
Energy Spectrum ◽  
High Resolution ◽  
Direct Numerical Simulation ◽  
Dissipation Range

The electronic energy spectrum of zero-gap semiconductors

1976 ◽  
Vol 120 (11) ◽  
pp. 337 ◽  
Author(s):  
B.L. Gel'mont ◽  
V.I. Ivanov-Omskii ◽  
I.M. Tsidil'kovskii
Keyword(s):  
Energy Spectrum ◽  
Electronic Energy ◽  
Electronic Energy Spectrum
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