The Spectrum of Turbulence

By S. Grossmann. 2003

1,347 citations recorded by the source corpus.

Subfields: Computational Mechanics, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/a17167c18171b11539b793e6f705542802c75b48

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In Computational Mechanics

In Global and Planetary Change

Citations in the corpus

Perspectives on viscoelastic flow instabilities and elastic turbulence (2021, background): “Also, the exponent α of the temporal power spectrum was found to be generally smaller than ζ [147], hence, does not obey Taylor’s hypothesis for inertial turbulence that demands that the exponents are equal [149].”
High‐order discontinuous Galerkin spectral element methods for transitional and turbulent flow simulations (2014, background): “which is known as Taylor’s hypothesis [70] and very popular in laboratory experiments.”
Comparison of direct numerical simulation databases of turbulent channel flow at Re τ = 180 (2014, background): “27 Taylor’s hypothesis states that ∂ u i / ∂ t , which is assumed to be valid if the convection velocity U is much larger than the velocity ﬂuctuations.”
Estimation of the dissipation rate of turbulent kinetic energy: A review (2021, background): “Under Taylor’s hypothesis for frozen turbulence pattern (Taylor, 1938), turbulent dissipation rate could be calculated from time series of fluctuating velocity.”
Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV (2011, methodology): “3.5 Validity check of Taylor’s hypothesis The present time-resolved 3D velocity vector data set has been used for a simple first step of a quantitative investigation of the validity of Taylor’s hypothesis (Taylor (1938)) locally for all measured wall distances of the given flow.”
A review of turbulence measurements using ground-based wind lidars (2013, methodology): “r1 is computed using the Taylor’s hypothesis ( Taylor, 1938), where turbulence is assumed to be advected by the mean wind 〈u〉 in time t .”
Solar Wind Turbulence and the Role of Ion Instabilities (2013, methodology): “the flow speed of the solar wind Vsw is much larger than the characteristic plasma speeds, one can invoke the Taylor’s hypothesis (Taylor 1938; Perri and Balogh 2010) and con-”
The Cospectral Gap and Turbulent Flux Calculations (2003, methodology): “We also calculate a corresponding gap length scale using Taylor’s hypothesis (Taylor 1938); however, such a length scale is subject to all the errors associated with application of this hypothesis.”
Time-resolved evolution of coherent structures in turbulent channels: characterization of eddies and cascades (2012, background): “In integral geometry, the genus is part of a larger set of Galilean invariants called the Minkowski functionals, which characterize the global aspects of a structure in a n-dimensional space. The genus is also closely related with the Betti numbers, and more details can be found in Thompson (1996).”
Developments In Smooth Wall Turbulent Duct Flows (2005, neutral): “In this author’s view, perhaps the most convincing of all arguments is given by the experimental investigation of Uddin (1994). Uddin (1994) rigorously tested Taylor’s hypothesis in a similar study to that of Favre et al.”
Statistics from Lagrangian observations (2008, methodology): “In principle, the PDF derived from Lagrangian velocities should be the same as that derived from Eulerian velocities, assuming the coverage of both data sets is sufficiently uniform (Tennekes and Lumley, 1972; Bennett, 2006).”
Space-Time Correlations and Dynamic Coupling in Turbulent Flows (2017, background): “In his famous paper “The Spectrum of Turbulence,” Taylor (1938) hypothesized that the spatial patterns of turbulent motions are carried past a fixed point at the convection velocity without changing significantly.”