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Journal articles on the topic 'Cascade of turbulent cells'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Medina, Socorro, Ellen Sukovich, and Robert A. Houze. "Vertical Structures of Precipitation in Cyclones Crossing the Oregon Cascades." Monthly Weather Review 135, no. 10 (2007): 3565–86. http://dx.doi.org/10.1175/mwr3470.1.

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Abstract The vertical structure of radar echoes in extratropical cyclones moving over the Oregon Cascade Mountains from the Pacific Ocean indicates characteristic precipitation processes in three basic storm sectors. In the early sector of a cyclone, a leading edge echo (LEE) appears aloft and descends toward the surface. Updraft cells inferred from the vertically pointing Doppler radial velocity are often absent or weak. In the middle sector the radar echo consists of a thick, vertically continuous layer extending from the mountainside up to a height of approximately 5–6 km that lasts for sev

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2

Kovalova, A., L. Hudcova, and R. Roka. "Optical Ray Transfer Matrix Model of the Turbulent Cells Cascade." Radioengineering 31, no. 4 (2022): 520–26. http://dx.doi.org/10.13164/re.2022.0520.

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3

Budiarso, Ahmad Indra Siswantara, Steven Darmawan та Harto Tanujaya. "Inverse-Turbulent Prandtl Number Effects on Reynolds Numbers of RNG k-ε Turbulence Model on Cylindrical-Curved Pipe". Applied Mechanics and Materials 758 (квітень 2015): 35–44. http://dx.doi.org/10.4028/www.scientific.net/amm.758.35.

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Inverse-turbulent Prandtl number (α) is one of important parameters on RNG k-ε turbulence model which represent the cascade energy of the flow, which occur in cylindrical curved-pipe. Although many research has been done, turbulent flow in curved pipe is still a challanging problem. The range of α of the basic RNG k-ε turbulence model described by Yakhot and Orszag (1986) with range 1-1.3929 has to be more specific on Reynolds number (Re) and geometry. However, since the viscosity is sensitive to velocity and temperature, the reference of α is needed on specific range of Reynolds number. This

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4

Houze, Robert A., and Socorro Medina. "Turbulence as a Mechanism for Orographic Precipitation Enhancement." Journal of the Atmospheric Sciences 62, no. 10 (2005): 3599–623. http://dx.doi.org/10.1175/jas3555.1.

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Abstract This study examines the dynamical and microphysical mechanisms that enhance precipitation during the passage of winter midlatitude systems over mountain ranges. The study uses data obtained over the Oregon Cascade Mountains during the Improvement of Microphysical Parameterization through Observational Verification Experiment 2 (IMPROVE-2; November–December 2001) and over the Alps in the Mesoscale Alpine Program (MAP; September–November 1999). Polarimetric scanning and vertically pointing S-band Doppler radar data suggest that turbulence contributed to the orographic enhancement of the

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5

Petukhov, E. P., Y. B. Galerkin, and A. F. Rekstin. "A Study of Testing Procedures of Vaned Diffusers of a Centrifugal Compressor Stage in a Virtual Wind Tunnel." Proceedings of Higher Educational Institutions. Маchine Building, no. 8 (713) (August 2019): 51–64. http://dx.doi.org/10.18698/0536-1044-2019-8-51-64.

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A mathematical model of a vaned diffuser of a centrifugal compressor stage can be constructed based on the results of mass CFD-calculations, similar to that of vaneless diffusors. The methods for calculating the annular cascade and the straight cascade differ due to the existence of vaneless diffusor sections in front of the cascade and behind it. The rational dimensions of these sections are determined. The calculations of two-dimensional cascades without restricting walls appear to be irrational. The calculation is effective for a sector with one vane channel, a moderate number of cells, and

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6

Hwang, C. J., and J. L. Liu. "Inviscid and Viscous Solutions for Airfoil/Cascade Flows Using a Locally Implicit Algorithm on Adaptive Meshes." Journal of Turbomachinery 113, no. 4 (1991): 553–60. http://dx.doi.org/10.1115/1.2929114.

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A numerical solution procedure, which includes a locally implicit finite volume scheme and an adaptive mesh generation technique, has been developed to study airfoil and cascade flows. The Euler/Navier–Stokes, continuity, and energy equations, in conjunction with Baldwin-Lomax model for turbulent flow, are solved in the Cartesian coordinate system. To simulate physical phenomena efficiently and correctly, a mixed type of mesh, with unstructured triangular cells for the inviscid region and structured quadrilateral cells for the viscous, boundary layer, and wake regions, is introduced in this wo

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7

Bernstein, Joel M., Janet Gorfien, and Bernice Noble. "Role of Allergy in Nasal Polyposis: A Review." Otolaryngology–Head and Neck Surgery 113, no. 6 (1995): 724–32. http://dx.doi.org/10.1016/s0194-59989570012-9.

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We propose a multivariate theory for the pathogenesis of nasal polyps. Turbulent flow of air in the lateral wall of the nose or viral-bacterial-host interactions produce an inflammatory change in the mucosa of the lateral wall of the nose. Ulceration and prolapse of the submucosa with reepithelialization and new gland formation may then follow. The structural cells of the nasal polyp, including epithelial cells and fibroblasts, have the ability to produce messenger RNA for granulocyte-monocyte colony-stimulating factor and other cytokines. Stimulation of such an effector capability by structur

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8

Cui, Can, and Henrik N. Latter. "The saturation of the VSI in protoplanetary discs via parametric instability." Monthly Notices of the Royal Astronomical Society 512, no. 2 (2022): 1639–47. http://dx.doi.org/10.1093/mnras/stac279.

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ABSTRACT The vertical shear instability (VSI) is a robust and potentially important phenomenon in irradiated protoplanetary discs (PPDs), yet the mechanism by which it saturates remains poorly understood. Global simulations suggest that the non-linear evolution of the VSI is dominated by radially propagating inertial wavetrains (called ‘body modes’), but these are known to be susceptible to a parametric instability. In this paper, we propose that the global VSI saturates via this secondary instability, which initiates a redistribution of energy from the large scales to smaller scale inertial w

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9

Day, Steven W., and James C. McDaniel. "PIV Measurements of Flow in a Centrifugal Blood Pump: Steady Flow." Journal of Biomechanical Engineering 127, no. 2 (2004): 244–53. http://dx.doi.org/10.1115/1.1865189.

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Magnetically suspended left ventricular assist devices have only one moving part, the impeller. The impeller has absolutely no contact with any of the fixed parts, thus greatly reducing the regions of stagnant or high shear stress that surround a mechanical or fluid bearing. Measurements of the mean flow patterns as well as viscous and turbulent (Reynolds) stresses were made in a shaft-driven prototype of a magnetically suspended centrifugal blood pump at several constant flow rates (3–9L∕min) using particle image velocimetry (PIV). The chosen range of flow rates is representative of the range

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10

Yang, Yan-Tao, and Jie-Zhi Wu. "Channel turbulence with spanwise rotation studied using helical wave decomposition." Journal of Fluid Mechanics 692 (December 16, 2011): 137–52. http://dx.doi.org/10.1017/jfm.2011.500.

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AbstractTurbulent channel flow with spanwise rotation is studied by direct numerical simulation (DNS) and the so-called helical wave decomposition (HWD). For a wall-bounded channel domain, HWD decomposes the flow fields into helical modes with different scales and opposite polarities, which allows us to investigate the energy distribution and nonlinear transfer among various scales. Our numerical results reveal that for slow rotation, the fluctuating energy concentrates into large-scale modes. The flow visualizations show that the fine vortices at the unstable side of the channel form long col

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11

Abhari, R. S., and M. Giles. "A Navier–Stokes Analysis of Airfoils in Oscillating Transonic Cascades for the Prediction of Aerodynamic Damping." Journal of Turbomachinery 119, no. 1 (1997): 77–84. http://dx.doi.org/10.1115/1.2841013.

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An unsteady, compressible, two-dimensional, thin shear layer Navier–Stokes solver is modified to predict the motion-dependent unsteady flow around oscillating airfoils in a cascade. A quasi-three-dimensional formulations is used to account for the stream-wise variation of streamtube height. The code uses Ni’s Lax–Wendroff algorithm in the outer region, an implicit ADI method in the inner region, conservative coupling at the interface, and the Baldwin–Lomax turbulence model. The computational mesh consists of an O-grid around each blade plus an unstructured outer grid of quadrilateral or triang

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12

Düben, Peter D., and Peter Korn. "Atmosphere and Ocean Modeling on Grids of Variable Resolution—A 2D Case Study." Monthly Weather Review 142, no. 5 (2014): 1997–2017. http://dx.doi.org/10.1175/mwr-d-13-00217.1.

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Abstract Grids of variable resolution are of great interest in atmosphere and ocean modeling as they offer a route to higher local resolution and improved solutions. On the other hand there are changes in grid resolution considered to be problematic because of the errors they create between coarse and fine parts of a grid due to reflection and scattering of waves. On complex multidimensional domains these errors resist theoretical investigation and demand numerical experiments. With a low-order hybrid continuous/discontinuous finite-element model of the inviscid and viscous shallow-water equat

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13

He, W., R. S. Gioria, J. M. Pérez, and V. Theofilis. "Linear instability of low Reynolds number massively separated flow around three NACA airfoils." Journal of Fluid Mechanics 811 (December 15, 2016): 701–41. http://dx.doi.org/10.1017/jfm.2016.778.

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Two- and three-dimensional modal and non-modal instability mechanisms of steady spanwise-homogeneous laminar separated flow over airfoil profiles, placed at large angles of attack against the oncoming flow, have been investigated using global linear stability theory. Three NACA profiles of distinct thickness and camber were considered in order to assess geometry effects on the laminar–turbulent transition paths discussed. At the conditions investigated, large-scale steady separation occurs, such that Tollmien–Schlichting and cross-flow mechanisms have not been considered. It has been found tha

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14

Grete, Philipp, Brian W. O’Shea, and Kris Beckwith. "As a Matter of Dynamical Range – Scale Dependent Energy Dynamics in MHD Turbulence." Astrophysical Journal Letters 942, no. 2 (2023): L34. http://dx.doi.org/10.3847/2041-8213/acaea7.

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Abstract Magnetized turbulence is ubiquitous in many astrophysical and terrestrial plasmas but no universal theory exists. Even the detailed energy dynamics in magnetohydrodynamic (MHD) turbulence are still not well understood. We present a suite of subsonic, super-Alfvénic, high plasma beta MHD turbulence simulations that only vary in their dynamical range, i.e., in their separation between the large-scale forcing and dissipation scales, and their dissipation mechanism (implicit large eddy simulation, ILES, and direct numerical simulation (DNS)). Using an energy transfer analysis framework we

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15

Eyink, Gregory L. "Turbulent cascade of circulations." Comptes Rendus Physique 7, no. 3-4 (2006): 449–55. http://dx.doi.org/10.1016/j.crhy.2006.01.008.

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16

Reinke, Nico, André Fuchs, Daniel Nickelsen, and Joachim Peinke. "On universal features of the turbulent cascade in terms of non-equilibrium thermodynamics." Journal of Fluid Mechanics 848 (June 5, 2018): 117–53. http://dx.doi.org/10.1017/jfm.2018.360.

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Features of the turbulent cascade are investigated for various datasets from three different turbulent flows, namely free jets as well as wake flows of a regular grid and a cylinder. The analysis is focused on the question as to whether fully developed turbulent flows show universal small-scale features. Two approaches are used to answer this question. First, two-point statistics, namely structure functions of longitudinal velocity increments, and, second, joint multiscale statistics of these velocity increments are analysed. The joint multiscale characterisation encompasses the whole cascade

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17

Cheverry, Christophe. "Cascade of phases in turbulent flows." Bulletin de la Société mathématique de France 134, no. 1 (2006): 33–82. http://dx.doi.org/10.24033/bsmf.2501.

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18

Schertzer, D., S. Lovejoy, F. Schmitt, Y. Chigirinskaya, and D. Marsan. "Multifractal Cascade Dynamics and Turbulent Intermittency." Fractals 05, no. 03 (1997): 427–71. http://dx.doi.org/10.1142/s0218348x97000371.

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Turbulent intermittency plays a fundamental role in fields ranging from combustion physics and chemical engineering to meteorology. There is a rather general agreement that multifractals are being very successful at quantifying this intermittency. However, we argue that cascade processes are the appropriate and necessary physical models to achieve dynamical modeling of turbulent intermittency. We first review some recent developments and point out new directions which overcome either completely or partially the limitations of current cascade models which are static, discrete in scale, acausal,

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19

Greiner, Martin, Jens Giesemann, and Peter Lipa. "Translational invariance in turbulent cascade models." Physical Review E 56, no. 4 (1997): 4263–74. http://dx.doi.org/10.1103/physreve.56.4263.

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20

Friedrich, R., and J. Peinke. "Statistical properties of a turbulent cascade." Physica D: Nonlinear Phenomena 102, no. 1-2 (1997): 147–55. http://dx.doi.org/10.1016/s0167-2789(96)00235-7.

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21

Foias, Ciprian, Oscar P. Manley, Ricardo M. S. Rosa, and Roger Temam. "Cascade of energy in turbulent flows." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 332, no. 6 (2001): 509–14. http://dx.doi.org/10.1016/s0764-4442(01)01831-6.

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22

CHEN, SHIYI, and ROBERT H. KRAICHNAN. "Inhibition of turbulent cascade by sweep." Journal of Plasma Physics 57, no. 1 (1997): 187–93. http://dx.doi.org/10.1017/s0022377896005326.

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The effects of large-scale sweeping velocity on the turbulent cascade to small scales are examined for two problems: the advection of a passive scalar by a multivariate-Gaussian velocity field and incompressible Alfvén-wave turbulence. In both cases, the sweeping produces anisotropy and reduces the strength of cascade. If the direction of the sweep velocity varies with time, a balance is reached between this anisotropy and isotropizing effects associated with the change of direction.

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23

Ballouz, Joseph G., and Nicholas T. Ouellette. "Tensor geometry in the turbulent cascade." Journal of Fluid Mechanics 835 (November 29, 2017): 1048–64. http://dx.doi.org/10.1017/jfm.2017.802.

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The defining characteristic of highly turbulent flows is the net directed transport of energy from the injection scales to the dissipation scales. This cascade is typically described in Fourier space, obscuring its connection to the mechanics of the flow. Here, we recast the energy cascade in mechanical terms, noting that for some scales to transfer energy to others, they must do mechanical work on them. This work can be expressed as the inner product of a turbulent stress and a rate of strain. But, as with all inner products, the relative alignment of these two tensors matters, and determines

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24

Cardesa, José I., Alberto Vela-Martín, and Javier Jiménez. "The turbulent cascade in five dimensions." Science 357, no. 6353 (2017): 782–84. http://dx.doi.org/10.1126/science.aan7933.

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25

de Divitiis, Nicola. "Bifurcations analysis of turbulent energy cascade." Annals of Physics 354 (March 2015): 604–17. http://dx.doi.org/10.1016/j.aop.2015.01.017.

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26

Cimarelli, A., E. De Angelis, J. Jiménez, and C. M. Casciola. "Cascades and wall-normal fluxes in turbulent channel flows." Journal of Fluid Mechanics 796 (May 4, 2016): 417–36. http://dx.doi.org/10.1017/jfm.2016.275.

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The present work describes the multidimensional behaviour of scale-energy production, transfer and dissipation in wall-bounded turbulent flows. This approach allows us to understand the cascade mechanisms by which scale energy is transmitted scale-by-scale among different regions of the flow. Two driving mechanisms are identified. A strong scale-energy source in the buffer layer related to the near-wall cycle and an outer scale-energy source associated with an outer turbulent cycle in the overlap layer. These two sourcing mechanisms lead to a complex redistribution of scale energy where spatia

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27

de Wit, Xander M., Michel Fruchart, Tali Khain, Federico Toschi, and Vincenzo Vitelli. "Pattern formation by turbulent cascades." Nature 627, no. 8004 (2024): 515–21. http://dx.doi.org/10.1038/s41586-024-07074-z.

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AbstractFully developed turbulence is a universal and scale-invariant chaotic state characterized by an energy cascade from large to small scales at which the cascade is eventually arrested by dissipation1–6. Here we show how to harness these seemingly structureless turbulent cascades to generate patterns. Pattern formation entails a process of wavelength selection, which can usually be traced to the linear instability of a homogeneous state7. By contrast, the mechanism we propose here is fully nonlinear. It is triggered by the non-dissipative arrest of turbulent cascades: energy piles up at a

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28

HIJIKATA, Kunio, and Motohisa YOKOI. "Turbulent structure in a pipe flow with inclined cascade turbulent promoters." Transactions of the Japan Society of Mechanical Engineers Series B 53, no. 488 (1987): 1176–82. http://dx.doi.org/10.1299/kikaib.53.1176.

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29

Bolotnov, Igor A., Richard T. Lahey, Donald A. Drew, and Kenneth E. Jansen. "Turbulent cascade modeling of single and bubbly two-phase turbulent flows." International Journal of Multiphase Flow 34, no. 12 (2008): 1142–51. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2008.06.006.

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30

Ершов, С. В., В. А. Яковлев та М. Н. Гризун. "ЧИСЕЛЬНЕ МОДЕЛЮВАННЯ ЛАМІНАРНО-ТУРБУЛЕНТНОГО ПЕРЕХОДУ У ВИСОКОНАВАНТАЖЕНІЙ ТРАНСЗВУКОВІЙ ТУРБІННІЙ РЕШІТЦІ". Aerospace Technic and Technology, № 7 (7 липня 2017): 59–69. http://dx.doi.org/10.32620/aktt.2017.7.09.

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A three-dimensional turbulent flow of a viscous compressible gas through a high-loaded transonic turbine cascade is considered, taking into account the laminar-turbulent transition. Mathematical simulation of the flow is performed using the Reynolds-averaged Navier-Stokes equations and the two-equation k-ω SST turbulence model. Transition modeling is based on the algebraic PTM model. The effect of turbulent flow parameters on the laminarturbulent transition and the kinetic energy losses of the modeling turbine cascade of the TFAST project is investigated.

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31

Huang, Mei-Jiau. "Enstrophy Cascade and Smagorinsky Model of 2D Turbulent Flows." Journal of Mechanics 17, no. 3 (2001): 121–29. http://dx.doi.org/10.1017/s1727719100004482.

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ABSTRACTDirect numerical simulations of 2D turbulent flows, freely decaying as well as forced, are performed to examine the mechanism of the enstrophy cascade and serve as a template of developing LES models. The stretching effect on the 2D vorticity gradients is emphasized on the analogy of the stretching effect on 3D vorticity. The enstrophy cascade rate, the Reynolds stresses and the associated eddy viscosity for 2D turbulence are correspondingly derived and investigated. Proposed herein is that the enstrophy cascade rate to be modeled in a large-eddy simulation can be and should be calcula

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32

Gürcan, Ö. D. "Dynamical network models of the turbulent cascade." Physica D: Nonlinear Phenomena 426 (November 2021): 132983. http://dx.doi.org/10.1016/j.physd.2021.132983.

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33

Badii, R., and P. Talkner. "Biasymptotic formula for the turbulent energy cascade." Physical Review E 60, no. 4 (1999): 4138–42. http://dx.doi.org/10.1103/physreve.60.4138.

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34

Beck, Christian. "Chaotic cascade model for turbulent velocity distributions." Physical Review E 49, no. 5 (1994): 3641–52. http://dx.doi.org/10.1103/physreve.49.3641.

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35

She, Zhen-Su. "Universal Law of Cascade of Turbulent Fluctuations." Progress of Theoretical Physics Supplement 130 (1998): 87–102. http://dx.doi.org/10.1143/ptps.130.87.

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36

Qiu, Xin, San-Qiu Liu, and Ming-Yang Yu. "Turbulent cascade in a two-ion plasma." Physics of Plasmas 21, no. 11 (2014): 112304. http://dx.doi.org/10.1063/1.4901592.

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37

SMITH, K. S., G. BOCCALETTI, C. C. HENNING, et al. "Turbulent diffusion in the geostrophic inverse cascade." Journal of Fluid Mechanics 469 (October 15, 2002): 13–48. http://dx.doi.org/10.1017/s0022112002001763.

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Motivated in part by the problem of large-scale lateral turbulent heat transport in the Earth's atmosphere and oceans, and in part by the problem of turbulent transport itself, we seek to better understand the transport of a passive tracer advected by various types of fully developed two-dimensional turbulence. The types of turbulence considered correspond to various relationships between the streamfunction and the advected field. Each type of turbulence considered possesses two quadratic invariants and each can develop an inverse cascade. These cascades can be modified or halted, for example,

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38

SIVASHINSKY, GREGORY I. "Cascade-Renormalization Theory of Turbulent Flame Speed." Combustion Science and Technology 62, no. 1-3 (1988): 77–96. http://dx.doi.org/10.1080/00102208808924003.

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39

Friedrich, R. "Ratchet effect in the inverse turbulent cascade." Chemical Physics 375, no. 2-3 (2010): 587–90. http://dx.doi.org/10.1016/j.chemphys.2010.07.027.

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40

Drivas, Theodore D. "Turbulent Cascade Direction and Lagrangian Time-Asymmetry." Journal of Nonlinear Science 29, no. 1 (2018): 65–88. http://dx.doi.org/10.1007/s00332-018-9476-8.

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41

Andrés, N., R. Bandyopadhyay, D. J. McComas, et al. "Observation of Turbulent Magnetohydrodynamic Cascade in the Jovian Magnetosheath." Astrophysical Journal 945, no. 1 (2023): 8. http://dx.doi.org/10.3847/1538-4357/acb7e0.

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Abstract We present the first estimation of the energy cascade rate in Jupiter’s magnetosheath (MS). We use in situ observations from the Jovian Auroral Distributions Experiment and the magnetometer investigation instruments on board the Juno spacecraft, in concert with two recent compressible models, to investigate the cascade rate in the magnetohydrodynamic (MHD) scales. While a high level of compressible density fluctuations is observed in the Jovian MS, a constant energy flux exists in the MHD inertial range. The compressible isothermal and polytropic energy cascade rates increase in the M

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42

Valente, P. C., C. B. da Silva, and F. T. Pinho. "The effect of viscoelasticity on the turbulent kinetic energy cascade." Journal of Fluid Mechanics 760 (October 31, 2014): 39–62. http://dx.doi.org/10.1017/jfm.2014.585.

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AbstractDirect numerical simulations of statistically steady homogeneous isotropic turbulence in viscoelastic fluids described by the FENE-P model, such as those laden with polymers, are presented. It is shown that the strong depletion of the turbulence dissipation reported by previous authors does not necessarily imply a depletion of the nonlinear energy cascade. However, for large relaxation times, of the order of the eddy turnover time, the polymers remove more energy from the large scales than they can dissipate and transfer the excess energy back into the turbulent dissipative scales. Thi

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43

Alexakis, Alexandros, Raffaele Marino, Pablo D. Mininni, Adrian van Kan, Raffaello Foldes, and Fabio Feraco. "Large-scale self-organization in dry turbulent atmospheres." Science 383, no. 6686 (2024): 1005–9. http://dx.doi.org/10.1126/science.adg8269.

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How turbulent convective fluctuations organize to form larger-scale structures in planetary atmospheres remains a question that eludes quantitative answers. The assumption that this process is the result of an inverse cascade was suggested half a century ago in two-dimensional fluids, but its applicability to atmospheric and oceanic flows remains heavily debated, hampering our understanding of the energy balance in planetary systems. We show using direct numerical simulations with spatial resolutions of 12288 2 × 384 points that rotating and stratified flows can support a bidirectional cascade

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44

Louda, Petr, Jaromír Příhoda, and Karel Kozel. "Numerical modelling of turbulent transition in complex geometries." EPJ Web of Conferences 180 (2018): 02057. http://dx.doi.org/10.1051/epjconf/201818002057.

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The work deals with numerical simulation of laminar-turbulent transition in transonic flows in turbine cas-cades. The 3D cascade geometry as well as 2D model cascade in a wind tunnel is simulated. The γ-ζ transition model is based on empirical criteria for start of the transition. The implementation of the model is discussed including re-formulation of the criterion for transition on separation bubble.

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45

Hartlep, Thomas, and Jeffrey N. Cuzzi. "Cascade Model for Planetesimal Formation by Turbulent Clustering." Astrophysical Journal 892, no. 2 (2020): 120. http://dx.doi.org/10.3847/1538-4357/ab76c3.

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46

Baggaley, Andrew W., and Carlo F. Barenghi. "Turbulent cascade of Kelvin waves on vortex filaments." Journal of Physics: Conference Series 318, no. 6 (2011): 062001. http://dx.doi.org/10.1088/1742-6596/318/6/062001.

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47

Lewalle, Jacques, and Lawrence L. Tavlarides. "A cascade‐transport model for turbulent shear flows." Physics of Fluids 6, no. 9 (1994): 3109–15. http://dx.doi.org/10.1063/1.868135.

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48

Xu, Shaokang, P. Morel, and Ö. D. Gürcan. "A turbulent cascade model of bounce averaged gyrokinetics." Physics of Plasmas 25, no. 2 (2018): 022304. http://dx.doi.org/10.1063/1.5020145.

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49

Yasuda, T., and J. C. Vassilicos. "Spatio-temporal intermittency of the turbulent energy cascade." Journal of Fluid Mechanics 853 (August 23, 2018): 235–52. http://dx.doi.org/10.1017/jfm.2018.584.

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In incompressible and periodic statistically stationary turbulence, exchanges of turbulent energy across scales and space are characterised by very intense and intermittent spatio-temporal fluctuations around zero of the time-derivative term, the spatial turbulent transport of fluctuating energy and the pressure–velocity term. These fluctuations are correlated with each other and with the intense intermittent fluctuations of the interscale energy transfer rate. These correlations are caused by the sweeping effect, the link between nonlinearity and non-locality, and also relate to geometrical a

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KLIMENKO, A. Y. "Examining the Cascade Hypothesis for Turbulent Premixed Combustion." Combustion Science and Technology 139, no. 1 (1998): 15–40. http://dx.doi.org/10.1080/00102209808952079.

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