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Journal articles on the topic 'One Dimensional Turbulence'

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1

Kerstein, Alan R. "One-dimensional turbulence." Dynamics of Atmospheres and Oceans 30, no. 1 (August 1999): 25–46. http://dx.doi.org/10.1016/s0377-0265(99)00017-2.

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2

ZAKHAROV, V., F. DIAS, and A. PUSHKAREV. "One-dimensional wave turbulence." Physics Reports 398, no. 1 (August 2004): 1–65. http://dx.doi.org/10.1016/j.physrep.2004.04.002.

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3

Zakharov, V. E., P. Guyenne, A. N. Pushkarev, and F. Dias. "Wave turbulence in one-dimensional models." Physica D: Nonlinear Phenomena 152-153 (May 2001): 573–619. http://dx.doi.org/10.1016/s0167-2789(01)00194-4.

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4

Frost, V. A. "Spectrograms of one-dimensional isotropic turbulence." Journal of Physics: Conference Series 1009 (April 2018): 012015. http://dx.doi.org/10.1088/1742-6596/1009/1/012015.

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5

Hastings, M. B., and L. S. Levitov. "Laplacian growth as one-dimensional turbulence." Physica D: Nonlinear Phenomena 116, no. 1-2 (May 1998): 244–52. http://dx.doi.org/10.1016/s0167-2789(97)00244-3.

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6

Peyrard, M., and I. Daumont. "Statistical properties of one-dimensional “turbulence”." Europhysics Letters (EPL) 59, no. 6 (September 2002): 834–40. http://dx.doi.org/10.1209/epl/i2002-00118-y.

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7

Mitschke, F., G. Steinmeyer, and A. Schwache. "Generation of one-dimensional optical turbulence." Physica D: Nonlinear Phenomena 96, no. 1-4 (September 1996): 251–58. http://dx.doi.org/10.1016/0167-2789(96)00025-5.

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8

Ranganath, Bhargav, and Tarek Echekki. "One-Dimensional Turbulence-based closure for turbulent non-premixed flames." Progress in Computational Fluid Dynamics, An International Journal 6, no. 7 (2006): 409. http://dx.doi.org/10.1504/pcfd.2006.010966.

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9

Gonzalez-Juez, E. D., A. R. Kerstein, and D. O. Lignell. "Reactive Rayleigh–Taylor turbulent mixing: a one-dimensional-turbulence study." Geophysical & Astrophysical Fluid Dynamics 107, no. 5 (October 2013): 506–25. http://dx.doi.org/10.1080/03091929.2012.736504.

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10

Peyrard, Michel. "The statistical distributions of one-dimensional “turbulence”." Physica D: Nonlinear Phenomena 193, no. 1-4 (June 2004): 265–77. http://dx.doi.org/10.1016/j.physd.2004.01.025.

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11

Zakharov, V. E., O. A. Vasilyev, and A. I. Dyachenko. "Kolmogorov spectra in one-dimensional weak turbulence." Journal of Experimental and Theoretical Physics Letters 73, no. 2 (January 2001): 63–65. http://dx.doi.org/10.1134/1.1358420.

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12

Daumont, Isabelle, and Michel Peyrard. "One-dimensional “turbulence” in a discrete lattice." Chaos: An Interdisciplinary Journal of Nonlinear Science 13, no. 2 (June 2003): 624–36. http://dx.doi.org/10.1063/1.1530991.

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13

Aizawa, Y., I. Nishikawa, and K. Kaneko. "Soliton turbulence in one-dimensional cellular automata." Physica D: Nonlinear Phenomena 45, no. 1-3 (September 1990): 307–27. http://dx.doi.org/10.1016/0167-2789(90)90191-q.

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14

Aizawa, Y., I. Nishikawa, and K. Kaneko. "Soliton turbulence in one-dimensional cellular automata." Physica D: Nonlinear Phenomena 48, no. 1 (February 1991): 255. http://dx.doi.org/10.1016/0167-2789(91)90060-m.

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15

Mukerji, Debjit, John K. Eaton, and Robert J. Moffat. "Convective Heat Transfer Near One-Dimensional and Two-Dimensional Wall Temperature Steps." Journal of Heat Transfer 126, no. 2 (April 1, 2004): 202–10. http://dx.doi.org/10.1115/1.1650387.

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Steady-state experiments with one-dimensional and two-dimensional calorimeters were used to study the convective heat transfer near sharp steps in wall temperature in a turbulent boundary layer. Data acquired under low and high freestream turbulence conditions indicated that spanwise turbulent diffusion is not a significant heat transport mechanism for a two-dimensional temperature step. The one-dimensional calorimeter heat transfer data were predicted within ±5 percent using the STAN7 boundary layer code for situations with an abrupt wall temperature step. The conventional correlation with an unheated starting length correction, in contrast, greatly under-predicts the heat transfer for the same experimental cases. A new correlation was developed that is in good agreement with near and far-field semi-analytical solutions and predicts the calorimeter heat transfer data to within ±2 percent for temperature step boundary condition cases.
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16

Movaghar, A., M. Linne, M. Oevermann, F. Meiselbach, H. Schmidt, and Alan R. Kerstein. "Numerical investigation of turbulent-jet primary breakup using one-dimensional turbulence." International Journal of Multiphase Flow 89 (March 2017): 241–54. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2016.09.023.

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17

Rakhi and Heiko Schmidt. "One-dimensional turbulence: Application to incompressible spatially developing turbulent boundary layers." International Journal of Heat and Fluid Flow 85 (October 2020): 108626. http://dx.doi.org/10.1016/j.ijheatfluidflow.2020.108626.

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18

Sun, Guangyuan, David O. Lignell, John C. Hewson, and Craig R. Gin. "Particle dispersion in homogeneous turbulence using the one-dimensional turbulence model." Physics of Fluids 26, no. 10 (October 2014): 103301. http://dx.doi.org/10.1063/1.4896555.

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19

Giddey, Valentin, Daniel W. Meyer, and Patrick Jenny. "Modeling three-dimensional scalar mixing with forced one-dimensional turbulence." Physics of Fluids 30, no. 12 (December 2018): 125103. http://dx.doi.org/10.1063/1.5055752.

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20

Romanenko, E. Yu, and A. N. Sharkovsky. "From one-dimensional to infinite-dimensional dynamical systems: Ideal turbulence." Ukrainian Mathematical Journal 48, no. 12 (December 1996): 1817–42. http://dx.doi.org/10.1007/bf02375370.

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21

FREWER, MICHAEL. "Proper invariant turbulence modelling within one-point statistics." Journal of Fluid Mechanics 639 (October 13, 2009): 37–64. http://dx.doi.org/10.1017/s0022112009991133.

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A new turbulence modelling approach is presented. Geometrically reformulating the averaged Navier–Stokes equations on a four-dimensional non-Riemannian manifold without changing the physical content of the theory, additional modelling restrictions which are absent in the usual Euclidean (3+1)-dimensional framework naturally emerge. The modelled equations show full form invariance for all Newtonian reference frames in that all involved quantities transform as true 4-tensors. Frame accelerations or inertial forces of any kind are universally described by the underlying four-dimensional geometry.By constructing a nonlinear eddy viscosity model within the k−ϵ family for high turbulent Reynolds numbers the new invariant modelling approach demonstrates the essential advantages over current (3+1)-dimensional modelling techniques. In particular, new invariants are gained, which allow for a universal and consistent treatment of non-stationary effects within a turbulent flow. Furthermore, by consistently introducing via a Lie-group symmetry analysis a new internal modelling variable, the mean form-invariant pressure Hessian, it will be shown that already a quadratic nonlinearity is sufficient to capture secondary flow effects, for which in current nonlinear eddy viscosity models a higher nonlinearity is needed. In all, this paper develops a new unified formalism which will naturally guide the way in physical modelling whenever reasonings are based on the general concept of invariance.
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22

KERSTEIN, ALAN R. "One-dimensional turbulence: model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows." Journal of Fluid Mechanics 392 (August 10, 1999): 277–334. http://dx.doi.org/10.1017/s0022112099005376.

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A stochastic model, implemented as a Monte Carlo simulation, is used to compute statistical properties of velocity and scalar fields in stationary and decaying homogeneous turbulence, shear flow, and various buoyant stratified flows. Turbulent advection is represented by a random sequence of maps applied to a one-dimensional computational domain. Profiles of advected scalars and of one velocity component evolve on this domain. The rate expression governing the mapping sequence reflects turbulence production mechanisms. Viscous effects are implemented concurrently. Various flows of interest are simulated by applying appropriate initial and boundary conditions to the velocity profile. Simulated flow microstructure reproduces the −5/3 power-law scaling of the inertial-range energy spectrum and the dissipation-range spectral collapse based on the Kolmogorov microscale. Diverse behaviours of constant-density shear flows and buoyant stratified flows are reproduced, in some instances suggesting new interpretations of observed phenomena. Collectively, the results demonstrate that a variety of turbulent flow phenomena can be captured in a concise representation of the interplay of advection, molecular transport, and buoyant forcing.
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23

Gonzalez-Juez, Esteban D., Alan R. Kerstein, and Lucinda H. Shih. "Vertical mixing in homogeneous sheared stratified turbulence: A one-dimensional-turbulence study." Physics of Fluids 23, no. 5 (May 2011): 055106. http://dx.doi.org/10.1063/1.3592329.

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24

Stephens, Victoria B., and David O. Lignell. "One-dimensional turbulence (ODT): Computationally efficient modeling and simulation of turbulent flows." SoftwareX 13 (January 2021): 100641. http://dx.doi.org/10.1016/j.softx.2020.100641.

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25

Laurie, Jason, Umberto Bortolozzo, Sergey Nazarenko, and Stefania Residori. "One-dimensional optical wave turbulence: Experiment and theory." Physics Reports 514, no. 4 (May 2012): 121–75. http://dx.doi.org/10.1016/j.physrep.2012.01.004.

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26

Lee, Wonjung. "Reduced One-Dimensional Models for Wave Turbulence System." Journal of Nonlinear Science 29, no. 5 (February 1, 2019): 1865–89. http://dx.doi.org/10.1007/s00332-019-09532-9.

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27

McLaughlin, W. "A One-Dimensional Model for Dispersive Wave Turbulence." Applied Mathematics and Optimization 7, no. 1 (1997): 9. http://dx.doi.org/10.1007/s003329900024.

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28

Yanase, Shinichiro. "New one-dimensional model equations of magnetohydrodynamic turbulence." Physics of Plasmas 4, no. 4 (April 1997): 1010–17. http://dx.doi.org/10.1063/1.872190.

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29

Majda, A. J., D. W. McLaughlin, and E. G. Tabak. "A one-dimensional model for dispersive wave turbulence." Journal of Nonlinear Science 7, no. 1 (February 1997): 9–44. http://dx.doi.org/10.1007/bf02679124.

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30

Gurbatov, S. N., and A. I. Saichev. "One-dimensional turbulence in a viscous polytropic gas." Radiophysics and Quantum Electronics 31, no. 12 (December 1988): 1043–54. http://dx.doi.org/10.1007/bf01044815.

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31

Skielka, Udo Tersiano, Jacyra Soares, and Amauri Pereira de Oliveira. "Study of the equatorial Atlantic Ocean mixing layer using a one-dimensional turbulence model." Brazilian Journal of Oceanography 58, spe3 (June 2010): 57–69. http://dx.doi.org/10.1590/s1679-87592010000700008.

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The General Ocean Turbulence Model (GOTM) is applied to the diagnostic turbulence field of the mixing layer (ML) over the equatorial region of the Atlantic Ocean. Two situations were investigated: rainy and dry seasons, defined, respectively, by the presence of the intertropical convergence zone and by its northward displacement. Simulations were carried out using data from a PIRATA buoy located on the equator at 23º W to compute surface turbulent fluxes and from the NASA/GEWEX Surface Radiation Budget Project to close the surface radiation balance. A data assimilation scheme was used as a surrogate for the physical effects not present in the one-dimensional model. In the rainy season, results show that the ML is shallower due to the weaker surface stress and stronger stable stratification; the maximum ML depth reached during this season is around 15 m, with an averaged diurnal variation of 7 m depth. In the dry season, the stronger surface stress and the enhanced surface heat balance components enable higher mechanical production of turbulent kinetic energy and, at night, the buoyancy acts also enhancing turbulence in the first meters of depth, characterizing a deeper ML, reaching around 60 m and presenting an average diurnal variation of 30 m.
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32

KERSTEIN, ALAN R., W. T. ASHURST, SCOTT WUNSCH, and VEBJORN NILSEN. "One-dimensional turbulence: vector formulation and application to free shear flows." Journal of Fluid Mechanics 447 (October 30, 2001): 85–109. http://dx.doi.org/10.1017/s0022112001005778.

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One-dimensional turbulence is a stochastic simulation method representing the time evolution of the velocity profile along a notional line of sight through a turbulent flow. In this paper, the velocity is treated as a three-component vector, in contrast to previous formulations involving a single velocity component. This generalization allows the incorporation of pressure-scrambling effects and provides a framework for further extensions of the model. Computed results based on two alternative physical pictures of pressure scrambling are compared to direct numerical simulations of two time-developing planar free shear flows: a mixing layer and a wake. Scrambling based on equipartition of turbulent kinetic energy on an eddy-by-eddy basis yields less accurate results than a scheme that maximizes the intercomponent energy transfer during each eddy, subject to invariance constraints. The latter formulation captures many features of free shear flow structure, energetics, and fluctuation properties, including the spatial variation of the probability density function of a passive advected scalar. These results demonstrate the efficacy of the proposed representation of vector velocity evolution on a one-dimensional domain.
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33

WANG, YaoYao, Zheng RAN, and XingJie YUAN. "One-dimensional energy spectra in three-dimensional incompressible homogeneous isotropic turbulence." SCIENTIA SINICA Physica, Mechanica & Astronomica 43, no. 9 (August 1, 2013): 1111–18. http://dx.doi.org/10.1360/132013-153.

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34

Hong, Zuu-Chang, and Ming-Hua Chen. "Statistical Model of a Self-Similar Turbulent Plane Shear Layer." Journal of Fluids Engineering 120, no. 2 (June 1, 1998): 263–73. http://dx.doi.org/10.1115/1.2820643.

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A turbulence probability density function (pdf) equation model is employed to solve a self-similar turbulent plane shear layer. The proper similarity variable was introduced into the problem of interest to reduce the pdf equation into a spatially one-dimensional equation, which is still three dimensional in velocity space. Then the approximate moment method is employed to solve this simplified pdf equation. By the solutions of this equation, the various one-point mean quantities are immediatelly available. Agreement of the calculated mean velocity, turbulent energy and Reynolds stress with the available experimental data is generally satisfactory indicating that the pdf equation model and the moment method can quantitatively describe the statistics of free turbulence. Additionally, the balance of turbulence energy was calculated and discussed subsequently. It shows that the pdf methods are of more potential in revealing turbulence structure than conventional turbulence models.
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35

KEATING, SHANE R., and P. H. DIAMOND. "Turbulent resistivity in wavy two-dimensional magnetohydrodynamic turbulence." Journal of Fluid Mechanics 595 (January 8, 2008): 173–202. http://dx.doi.org/10.1017/s002211200700941x.

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The theory of turbulent resistivity in ‘wavy’ magnetohydrodynamic turbulence in two dimensions is presented. The goal is to explore the theory of quenching of turbulent resistivity in a regime for which the mean field theory can be rigorously constructed at large magnetic Reynolds number Rm. This is achieved by extending the simple two-dimensional problem to include body forces, such as buoyancy or the Coriolis force, which convert large-scale eddies into weakly interacting dispersive waves. The turbulence-driven spatial flux of magnetic potential is calculated to fourth order in wave slope – the same order to which one usually works in wave kinetics. However, spatial transport, rather than spectral transfer, is the object here. Remarkably, adding an additional restoring force to the already tightly constrained system of high Rm magnetohydrodynamic turbulence in two dimensions can actually increase the turbulent resistivity, by admitting a spatial flux of magnetic potential which is not quenched at large Rm, although it is restricted by the conditions of applicability of weak turbulence theory. The absence of Rm-dependent quenching in this wave-interaction-driven flux is a consequence of the presence of irreversibility due to resonant nonlinear three-wave interactions, which are independent of collisional resistivity. The broader implications of this result for the theory of mean field electrodynamics are discussed.
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36

UENO, Kazuyuki, Kensuke SAITO, and Shinichi KAMIYAMA. "Three-Dimensional Simulation of MHD Flow with Turbulence. Reduction of Turbulence to Two-Dimensional one in Downstream." Transactions of the Japan Society of Mechanical Engineers Series B 65, no. 637 (1999): 2976–81. http://dx.doi.org/10.1299/kikaib.65.2976.

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37

UENO, Kazuyuki, Kensuke SAITO, and Shinichi KAMIYAMA. "Three-Dimensional Simulation of MHD Flow with Turbulence. Reduction of Turbulence to Two-Dimensional One in Downstream." JSME International Journal Series B 44, no. 1 (2001): 38–44. http://dx.doi.org/10.1299/jsmeb.44.38.

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38

Jozefik, Zoltan, Alan R. Kerstein, Heiko Schmidt, Sgouria Lyra, Hemanth Kolla, and Jackie H. Chen. "One-dimensional turbulence modeling of a turbulent counterflow flame with comparison to DNS." Combustion and Flame 162, no. 8 (August 2015): 2999–3015. http://dx.doi.org/10.1016/j.combustflame.2015.05.010.

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39

Itsweire, E. C., and K. N. Helland. "Spectra and energy transfer in stably stratified turbulence." Journal of Fluid Mechanics 207 (October 1989): 419–52. http://dx.doi.org/10.1017/s0022112089002648.

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The influence of stabilizing buoyancy forces on the spectral characteristics and spectral energy transfer of grid-generated turbulence was studied in a ten-layer closed-loop stratified water channel. The results are compared to the limiting ideal cases of the three-dimensional turbulence and two-dimensional turbulence theories. The velocity power spectra evolve from a classical isotropic shape to a shape of almost k−2 after the suppression of the net vertical mixing. This final spectral shape is rather different from the k−3 to k−4 predicted by the theory of two-dimensional turbulence and could result from the interaction between small-scale internal waves and quasi-two-dimensional turbulent structures as well as some Doppler shift of advected waves. Several lengthscales are derived from the cospectra of the vertical velocity and density fluctuations and compared with the buoyancy, overturning and viscous lengthscales measured in previous studies, e.g. Stillinger, Helland & Van Atta (1983) and Itsweire, Helland & Van Atta (1986). The smallest turbulent scale, defined when the buoyancy flux goes to zero, can be related to the peak of the cospectra of the buoyancy flux. This new relationship can be used to provide a measure of the smallest turbulent scale in cases where the buoyancy flux never goes to zero, i.e. a growing turbulent stratified shear flow. Finally, the one-dimensional energy transfer term computed from the bispectra shows evidence of a reverse energy cascade from the small scales to the large scales far from the grid where buoyancy forces dominate inertial forces. The observed reverse energy transfer could be produced by the development of quasi-two-dimensional eddies as the original three-dimensional turbulence collapses.
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40

Schmidt-Laine, C., and D. Jeandel. "A least squares formulation of one-dimensional turbulence models." Applied Numerical Mathematics 2, no. 1 (February 1986): 43–56. http://dx.doi.org/10.1016/0168-9274(86)90014-0.

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41

Dreeben, Thomas D., and Alan R. Kerstein. "Simulation of vertical slot convection using ‘one-dimensional turbulence’." International Journal of Heat and Mass Transfer 43, no. 20 (October 2000): 3823–34. http://dx.doi.org/10.1016/s0017-9310(00)00012-0.

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42

Chakraborty, Sagar. "On one-eighth law in unforced two-dimensional turbulence." Physica D: Nonlinear Phenomena 238, no. 14 (July 2009): 1256–59. http://dx.doi.org/10.1016/j.physd.2009.04.004.

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43

Zakharov, Dmitry V., Vladimir E. Zakharov, and Sergey A. Dyachenko. "Non-periodic one-dimensional ideal conductors and integrable turbulence." Physics Letters A 380, no. 46 (December 2016): 3881–85. http://dx.doi.org/10.1016/j.physleta.2016.09.040.

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44

Zubrzycki, A. "Turbulence in the One-Dimensional Complex Ginzburg-Landau Equation." Acta Physica Polonica A 87, no. 6 (June 1995): 925–32. http://dx.doi.org/10.12693/aphyspola.87.925.

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45

Gowda, Bharath D., and Tarek Echekki. "One-dimensional turbulence simulations of hydrogen-fueled HCCI combustion." International Journal of Hydrogen Energy 37, no. 9 (May 2012): 7912–24. http://dx.doi.org/10.1016/j.ijhydene.2012.02.020.

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46

RANGANATH, B., and T. ECHEKKI. "One-dimensional turbulence-based closure with extinction and reignition." Combustion and Flame 154, no. 1-2 (July 2008): 23–46. http://dx.doi.org/10.1016/j.combustflame.2008.03.020.

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47

Medina M., Juan A., Heiko Schmidt, Fabian Mauss, and Zoltan Jozefik. "Constant volume n-Heptane autoignition using One-Dimensional Turbulence." Combustion and Flame 190 (April 2018): 388–401. http://dx.doi.org/10.1016/j.combustflame.2017.12.015.

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48

PLUNK, G. G., S. C. COWLEY, A. A. SCHEKOCHIHIN, and T. TATSUNO. "Two-dimensional gyrokinetic turbulence." Journal of Fluid Mechanics 664 (October 19, 2010): 407–35. http://dx.doi.org/10.1017/s002211201000371x.

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Two-dimensional gyrokinetics is a simple paradigm for the study of kinetic magnetised plasma turbulence. In this paper, we present a comprehensive theoretical framework for this turbulence. We study both the inverse and direct cascades (the ‘dual cascade’), driven by a homogeneous and isotropic random forcing. The key characteristic length of gyrokinetics, the Larmor radius, divides scales into two physically distinct ranges. For scales larger than the Larmor radius, we derive the familiar Charney–Hasegawa–Mima equation from the gyrokinetic system, and explain its relationship to gyrokinetics. At scales smaller than the Larmor radius, a dual cascade occurs in phase space (two dimensions in position space plus one dimension in velocity space) via a nonlinear phase-mixing process. We show that at these sub-Larmor scales, the turbulence is self-similar and exhibits power-law spectra in position and velocity space. We propose a Hankel-transform formalism to characterise velocity-space spectra. We derive the exact relations for third-order structure functions, analogous to Kolmogorov's four-fifths and Yaglom's four-thirds laws and valid at both long and short wavelengths. We show how the general gyrokinetic invariants are related to the particular invariants that control the dual cascade in the long- and short-wavelength limits. We describe the full range of cascades from the fluid to the fully kinetic range.
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49

Bartello, P., and T. Warn. "A one-dimensional turbulence model; Enstrophy cascades and small-scale intermittency in decaying turbulence." Geophysical & Astrophysical Fluid Dynamics 40, no. 3-4 (January 1988): 239–59. http://dx.doi.org/10.1080/03091928808208827.

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50

Echekki, Tarek, Alan R. Kerstein, Thomas D. Dreeben, and Jyh-Yuan Chen. "‘One-dimensional turbulence’ simulation of turbulent jet diffusion flames: model formulation and illustrative applications." Combustion and Flame 125, no. 3 (May 2001): 1083–105. http://dx.doi.org/10.1016/s0010-2180(01)00228-0.

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