Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box

By Yukio Kaneda, Takashi Ishihara, Mitsuo Yokokawa, Ken'ichi Itakura, Atsuya Uno. 2003

592 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/b4b8a280a9bbd0eb7ea7cddd252c370dea729df0

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Citations in the corpus

A correction method for measuring turbulence kinetic energy dissipation rate by PIV (2007, background): “Even for the simple case of homogeneous isotropic turbulence there have been extensive studies on the proper scaling of e (Antonia and Pearson 2000; Burattini et al. 2005; Kaneda et al. 2003; Lumley 1992; Pearson et al. 2004, 2002; Sreenivasan 1984, 1998).”
The energy cascade in a strongly stratified fluid (2006, background): “However, the same could be said about the corresponding flux curves calculated from high-Reynolds-number simulations of isotropic turbulence (Kaneda et al. 2003).”
On the universality of supersonic turbulence (2013, background): “…focus on comparing two simulations with solenoidal and compressive driving, each with a grid resolution of 40963 points, which is currently the world’s largest data set of supersonic turbulence (an equivalent resolution was so far only reached for incompressible turbulence by Kaneda et al. 2003).”
Observations of Small-Scale Turbulence and Energy Dissipation Rates in the Cloudy Boundary Layer (2006, result): “10 (Kaneda et al. 2003) whereas DNS studies of particle-laden turbulence are limited to Re (cid:5) 10 e.g., Fer-rante and Elgobashi 2003; Squires and Eaton 1991) which is about two orders of magnitude smaller than observed in our data.”
Two-Particle Dispersion in Isotropic Turbulent Flows (2009, background): “…been steady growth in this parameter over the past three decades, and future peta-scale computers (Bement 2007), or even lattice-Boltzmann-based grid computations (Celani 2007), offer the hope of extending DNS beyond the present-day maximum of 40963 (Kaneda et al. 2003), corresponding to Rλ ∼ 1000.”
Interstellar Turbulence I: Observations and Processes (2004, methodology): “This is the basis for Kolmogorov’s model of incompressible turbulence, and it has only recently been verified in 20483 simulations on the Earth Simulator (Kaneda et al. 2003).”
Geometry and clustering of intense structures in isotropic turbulence (2004, background): “The moderate inertial range present at Reλ 168 does not allow us to settle this issue, and no fractal dimension can be isolated from the set of baricentres, but it is to be hoped that the much higher Reynolds numbers of the recent simulations by Kaneda et al. (2003) would be able to do so.”
Lectures on the Onsager conjecture (2010, background): “Recent direct numerical simulations (see for example Keneda et al [30]) verified (36) to a high degree of accuracy.”
Onsager and the theory of hydrodynamic turbulence (2006, background): “The recent numerical study of Kaneda et al. (2003) on a 40963 spatial grid has found that A(Re) indeed asymptotes to a constant at high Reynolds numbers.”
Small-scale statistics in high-resolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics (2007, methodology): “In figure 8, we plot them together with the DNS data by Kerr (1985). The DNS data in Series 1 and the time averages in Run 2048-2 and Run 4096-2 are also plotted.”
Theory of Star Formation (2007, background): “For incompressible turbulence, the largestscale (40963 zones) incompressible, unmagnetized, driven-turbulence simulations to date (Kaneda et al., 2003) yield a dimensionless dissipation coefficent ǫ = 0.6.”
The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part 2. Simulations with gravitational effects (2015, background): “c turbulence in tri-periodic domains and have considered both the Eulerian dynamics of the turbulent ow eld and the Lagrangian dynamics of inertialess tracer (i.e., uid) particles advected by the ow (Kaneda et al. 2003;Ishihara et al. 2007,2009;Yeung et al. 2012). Many industrial and environmental t”
Study of High-Reynolds Number Isotropic Turbulence by Direct Numerical Simulation (2009, methodology): “The dashed gray horizontal line indicates −〈(δuLr )3〉/(〈ε〉 r) = 4/5. close inspection also reveals that the slope is slightly tilted, suggesting that E(k) ∝ k−5/3+μ with μ ∼ −0.1 (Kaneda et al. 2003).”
Convex integration and phenomenologies in turbulence (2019, methodology): “The zeroth law of turbulence is verified experimentally to a tremendous degree [184, 160, 106], but to date we do not have a single example where it is rigorously proven to hold, directly from (1.”
Estimation of the dissipation rate of turbulent kinetic energy: A review (2021, methodology): “High-resolution DNS of a periodic box were performed and the normalized mean turbulent dissipation rate was shown to be independent of the fluid kinematic viscosity (Kaneda et al., 2003).”