Turbulence

By Roberto Benzi, U. Frisch. 2017

1,138 citations recorded by the source corpus.

Observations from the Cloud-Aerosol Interaction and Precipita-9 tion Enhancement Experiment-Integrated Ground Observation Campaign 10 (CAIPEEX-IGOC) provide a rare opportunity to investigate nocturnal at-11 mospheric surface-layer processes and surface-layer turbulent characteristics 12 associated with the low-level jet (LLJ). Here, an observational case study of

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Citations in the corpus

Discovering governing equations from data by sparse identification of nonlinear dynamical systems (2015, background): “The ﬁrst two most energetic POD modes capture a signiﬁcant portion of the energy; the steady-state vortex shedding is a limit cycle in these coordinates.”
The interaction of high-speed turbulence with flames: Global properties and internal flame structure (2009, background): “Moreover, on scales λ ≫ L, the turbulent energy spectrum has the k4 dependence [36].”
Fluctuation-dissipation: Response theory in statistical physics (2008, background): “7 In the ν → 0 limit in presence of forcing at large scale (small k) one has an intermediate range, called the inertial range, which has neither pumping nor dissipation and shows a strong departure from equipartition [69,73].”
Forming Planetesimals in Solar and Extrasolar Nebulae (2009, background): “Large scale fluctuations might arise as an “intermittent” phenomenon: deviations from self-similarity that show up in high order structure functions (Frisch 1996).”
Generalizing Koopman Theory to Allow for Inputs and Control (2016, unknown): “On these lowdimensional subspaces, controllers can be described, constructed, and implemented [35, 23, 19, 41, 40, 39, 53, 17].”
Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection (2008, background): “The corresponding time scale therefore is L/U , and from Kolmogorov’s energy-cascade picture (see e.g. Frisch (1995)) the bulk energy dissipation-rate scalingwise becomes1 ǫu,bulk ∼ U3 L = ν3 L4 Re3.”
Odor Landscapes in Turbulent Environments (2014, background): “The size rhit when the puff hits the source is expected to have a self-similar distribution [25, 27], i.”
Dissipative Euler Flows and Onsager's Conjecture (2012, unknown): “We refer the interested reader to [19, 28, 18] (see also Section 1.”
Modeling of transitional channel flow using balanced proper orthogonal decomposition (2007, methodology): “The POD/Galerkin method has been used extensively for reduced-order modeling of fluid problems [13, 23, 31, 34, 35].”
Anomalous dissipation for 1/5-Hölder Euler flows (2015, background): “We refer the interested reader to [15], [22], [14].”
Dynamic Mode Decomposition with Control (2014, methodology): “Such methods, often based on the singular value decomposition (SVD) of the data, allow one to construct low-dimensional subspaces where computationally tractable controllers can be designed and implemented [35, 24, 20, 40, 39, 58, 18].”
A spatio-temporal Volterra modeling approach for a class of distributed industrial processes (2009, background): “It can be proved that [29] ki 1⁄4 hðyðx; tÞ;uiðxÞÞ (2)i: The eigenfunction that corresponds to the first eigenvalue is considered to be the most ‘‘energetic”.”
Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems (2013, methodology): “The goals are threefold: (1) classify the dynamic regime, (2) project the measurements onto the correct modal amplitudes, and (3) reconstruct the low-dimensional dynamics through the efficient Galerkin projection [26].”
Enablers for robust POD models (2009, unknown): “(Indistinguishable difference between models B[3,2], C [3] and D[3].”
Direct numerical simulation of turbulent channel flow up to $\mathit{Re}_{{\it\tau}}\approx 5200$ (2014, background): “Hinze (1975) argues that at sufficiently high Reynolds number, there is an intermediate region between inner and outer layers where the transport terms in the kinetic energy equation are small compared with production, so that in this region PK ≈ , (3.10) where PK is the production of kinetic…”
Statistical models for spatial patterns of heavy particles in turbulence (2014, methodology): “In this section, we describe the statistical model for the inertial dynamics of small heavy spherical particles in fully developed homogeneous isotropic turbulence, at large Reynolds numbers [71,72].”
Hierarchy of mathematical models for production processes of technical textiles (2009, methodology): “The double-velocity correlation tensor has be en constructed such that it initially satisfies the Kolmogor ov universal equilibrium theory [11] as well as the local distr ibution of the kinetic energyk and dissipation rateε provided by thek-ε turbulence model.”
Inverse Problems in Heat Transfer (2009, background): “On the contrary, in [55] a non–linear heat source identification problem in radiation was addressed using model reduction [56] for computing the likelihood, thus accelerating the computation.”
Big Mapping Class Groups: An Overview (2020, background): “For examples, none of which are trivial, the homeomorphism group of the Cantor set [73] as well as the homeomorphism group of any closed manifold [82,106] has the automatic continuity property.”