Academic literature on the topic 'One Dimensional Turbulence'

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Journal articles on the topic "One Dimensional Turbulence"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "One Dimensional Turbulence"

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Laurie, Jason Paul. "Six-wave systems in one-dimensional wave turbulence." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/34564/.

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We investigate one-dimensional (1D) wave turbulence (WT) systems that are characterised by six-wave interactions. We begin by presenting a brief introduction to WT theory - the study of the non-equilibrium statistical mechanics of nonlinear random waves, by giving a short historical review followed by a discussion on the physical applications. We implement the WT description to a general six-wave Hamiltonian system that contains two invariants, namely, energy and wave action. This enables the subsequent derivations for the evolutions equations of the one-mode amplitude probability density function (PDF) and kinetic equation (KE). Analysis of the stationary solutions of these equations are made with additional checks on their underlying assumptions for validity. Moreover, we derive a differential approximation model (DAM) to the KE for super-local wave interactions and investigate the possible occurrence of a fluctuation relation. We then consider these results in the context of two physical systems - Kelvin waves in quantum turbulence (QT) and optical wave turbulence (OWT). We discuss the role of Kelvin waves in decaying QT, and show that they can be described by six-wave interactions. We explicitly compute the interaction coefficients for the Biot-Savart equation (BSE) Hamiltonian and represent the Kelvin wave dynamics in the form of a KE. The resulting non-equilibrium Kolmogorov-Zakharov (KZ) solutions to the KE are shown to be non-local, thus a new non-local theory for Kelvin wave interactions is discussed. A local equation for the dynamics of Kelvin waves, the local nonlinear equation (LNE), is derived from the BSE in the asymptotic limit of one long Kelvin wave. Numerical computation of the LNE leads to an agreement with the nonlocal Kelvin wave theory. Finally, we consider 1D OWT. We present the first experimental implementation of OWT and provide a comparable decaying numerical simulation for verification. We show that 1D OWT is described by a six-wave process and that the inverse cascade state leads to the development of coherent solitons at large scales. Further investigation is conducted into the behaviour of solitons and their impact to the WT description. Analysis of the fluxes and intensity PDFs lead to the development of a wave turbulence life cycle (WTLC), explaining the coexistence between coherent solitons and incoherent waves. Additional numerical simulations are performed in non-equilibrium stationary regimes to determine if a pure KZ state can be realised.
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Schmidt, John Richard. "Trajectories of evaporating droplets in a turbulent combustor using the one-dimensional turbulence model." Thesis, The University of Arizona, 2000. http://hdl.handle.net/10150/278737.

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In the incineration of liquid hazardous wastes there exist "rogue" droplets (>300 μm diameter) which penetrate past the flame zone and burn as isolated droplets in the postflame gasses. Detailed knowledge of the droplet burnout points are essential to keeping the destruction removal efficiency in excess of the 99.99% required. The spread in trajectory endpoints of individual evaporating droplet streams injected into a turbulent combustor was investigated numerically. Results are in good agreement with the measurements. Correlation between the spread in the burnout points and initial droplet size, initial droplet velocity, interdroplet spacing, and droplet injection angle were investigated. The numerical investigation utilizes the novel One Dimensional Turbulence (ODT) {Kerstein (1999)} for the time developing fluid velocity and temperature fields with a new two phase flow model for predicting particle trajectories. The droplet heating/burning model used by Mulholland et al. (1991) is modified for application to this thesis.
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Glawe, Christoph [Verfasser]. "ODTLES: Turbulence Modeling Using a One-Dimensional Turbulence Closed Extended Large Eddy Simulation Approach / Christoph Glawe." Berlin : Freie Universität Berlin, 2016. http://d-nb.info/1100388214/34.

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Schmidt, John R. "Stochastic models for the prediction of individual particle trajectories in one dimensional turbulence flows." Diss., The University of Arizona, 2004. http://hdl.handle.net/10150/280747.

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This dissertation presents the development of a method for integrating two-phase flow into the vector formulation of the One Dimensional Turbulence model (ODT). The novel ODT model is an unsteady turbulent flow simulation model implemented on a one-dimensional domain, representing flow evolution as observed along a line of sight through a 3D turbulent flow. Overturning motions representing individual eddies are implemented as instantaneous rearrangement events. They obey applicable conservation laws and emulate the multiplicative increase of strain and decrease of length scales associated with the turbulent cascade. Eddy occurrences are random, with likelihoods proportional to a local measure of shear kinetic energy. These events punctuate conventional time advancement of viscous transport. In the present study, the ODT configuration used to simulate turbulent channel flow is augmented by a representation of particles coupled to the fluid by a drag law, with one-way coupling. It is straightforward to implement this drag coupling using the vector wall-normal fluid velocity profile evolved by ODT, but motion (displacement by eddy events) and velocity are distinct in ODT, so this procedure violates physical requirements such as correct representation of the marker-particle limit. Instead, a particle-eddy interaction mechanism is introduced. ODT eddies are instantaneous, so this interaction is defined by integrating the drag law over the lifetime of the corresponding physical eddy, but applying the resulting particle location and velocity change at the instant of eddy occurrence. A subtraction procedure is used to prevent double-counting of particle-eddy interaction due to subsequent viscous time advancement over the same time interval. The net outcome is a particle-eddy interaction that obeys correct limiting behaviors and transitions smoothly between these limits. This formulation introduces a free parameter that multiplies a scaling estimate of the eddy lifetime. Numerical simulations were run with turbulent friction Reynolds numbers ranging from 180 to 1395. Validation was achieved by comparing (1) wall-normal profiles of particle statistics with DNS, LES, and experiments; (2) wall deposition for particles from the inertial range of (Stokes number) 0.3 <= Tau+ <= 55,000 to DNS, LES, and experiments; (3) the non-inertial, Brownian Motion, regime was demonstrated by comparison with experiments and DNS.
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Paudel, Abinash. "Application of One Dimensional Turbulence (ODT) to Model Fire Spread Through Biomass Fuel Bed." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/3988.

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Each year fires destroy millions of acres of woodland, lives, and property, and significantly contribute to air pollution. Increased knowledge of the physics and properties of the flame propagation is necessary to broaden the fundamental understanding and modeling capabilities of fires. Modeling flame propagation in fires is challenging because of the various modes of heat transfer with diverse fuels, multi-scale turbulence, and complex chemical kinetics. Standard physical models of turbulence like RANS and LES have been used to understand the flame behavior, but these models are limited by computational cost and their inability to resolve sub-grid scales. Application of several other models and empirical studies in fire modeling are usually limited to fire spread rate only. In some fires, flame propagation often occurs through convective heating by direct flame contact as opposed to radiative preheating alone. Under these conditions, resolution of the flame front can provide the detailed physics and insights into the flame propagation. The One Dimensional Turbulence (ODT) model is extended to turbulent flame propagation in biomass fuel beds representative of those in wild land fires. ODT is a stochastic model that is computationally affordable and can resolve both large and fine scales. ODT has been widely applied to many reacting and non-reacting flows like jet flames and pool fires. A detailed particle combustion model has been developed and implemented in the ODT model to investigate the fluctuating flame-fuel interface and to study flame propagation properties. The particle reaction is modeled as a single global decomposition reaction model. Radiative, convective, and internal particle conductive heat transfer are included. Gaseous combustion is modeled with a lookup table parameterized by mixture fraction and fractional heat loss using steady laminar flame let solutions. Results are presented from simulations of flame propagation in buoyantly driven flows. Particle size and loading are varied to study their effects in flame spread. A timescale analysis is performed to compare radiative, convective, conductive, and reactive particle time scales to the turbulent fluctuations. The flame propagation in homogeneous turbulence is also studied which better represents the wildland fire. The time scales involved in the wildland fire are overlapped using LEM model to study their effects on the flame properties and flame spread.
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Boodhraj, Kirodh. "Investigating the sensitivity of one-dimensional turbulence schemes in the sub-Antarctic Southern Ocean." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/27913.

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The sub-Antarctic Zone (SAZ) is a zone of vigorous vertical mixing in the Southern Ocean where it is difficult to obtain data for model validation on the turbulence conditions. In this study, a onedimensional configuration from the Nucleus for the European Modelling of the Ocean (NEMO) model was implemented in order to determine the sensitivity and turbulence response of an idealized SAZ water column. Various turbulence scheme parameterizations that are available for ocean models were tested. Furthermore, the number of vertical levels were varied in order to ascertain the sensitivity of the grid. The forcing data were obtained from various reanalyses (ERA-Interim, NASA, NCEP and JRA55) and were likewise tested. Different turbulence diagnostics and univariate indicators were chosen to ascertain the turbulence response and to analyse the energetics of the water column. It was found that using different reanalyses produced different tracer (salinity and temperature) results. Even though the results varied considerably, very high correlations were found for the potential energy anomaly between reanalyses and insignificant correlations were found for the other indicators. This suggested that it was a valuable descriptor which captured the buoyancy fluxes and wind stress information and can be efficiently used to assess the vertical turbulent state with data such as ARGO profiles. It was further found that for a single reanalysis, the turbulence schemes had produced similar results (with small variability and not to the extent as changing the reanalysis) for the turbulence diagnostics and univariate indicators. An important finding of an entrapped warm water parcel beneath cooler waters was found in simulation outputs as well as ARGO validation data. For realistic conditions observed from the ARGO floats, as the season progressed, there were no more instances of a warm water parcel. There was no reason however, to why there should not have been eddies passing by the region. In simulations, the warm water parcel persisted throughout the season for simulated data, likely causing the early stratification that affects ocean models in the SAZ. The stratification was found to have an approximate one month early onset observed from comparing the ARGO data profiles to simulated profiles. The Brunt Väisälä frequency, potential energy anomaly as well as the buoyancy flux were analysed and these diagnostics indicated that an approximate one month early stratification was found during November. It was likely that this false stratification signal may have influenced the summer stratification leading to a poor representation of the Mixed Layer Depth (MLD) and various other indicators. It was found that during the austral winter months, the model simulated comparable MLD's to the ARGO float data as well as theWinter Cruise data (obtained from the SA Agulhas II), capturing the winter dynamics well.
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Hallsworth, Stephen. "Modelling the diurnal-variation of sea surface temperature using a one-dimensional ocean turbulence model." Thesis, University of Edinburgh, 2005. http://hdl.handle.net/1842/13986.

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With strong diurnal warming, the temperature at the air-sea interface could be several degrees warmer than the temperature at one or two metres depth. To correctly interpret SST measurements during conditions of diurnal-warming of SST, the diurnal response to environmental conditions must be understood. This thesis is a study of the response of diurnal-warming of SST to the primary environmental conditions that cause it. A one-dimensional ocean turbulence model is used to simulate the diurnal-cycle of warming of SST. The model is developed and enhanced to enable accurate predictions of amplitudes of the night to day difference in SST and the stratification associated with strong warming events. The enhanced model is validated with data from in-situ instrumented moorings. The model is used to investigate the shape and timing of the warming response to environmental causes, including the timing of those causes. The one-dimensional turbulence model must be ‘forced’ with air-sea fluxes. Available data sets for these fluxes have various temporal resolutions, from just a few minutes (high resolution) to daily averages. The performance of the model is tested against temporal resolution of the air-sea fluxes. This allows for a realistic interpretation of the modelled SST for applications where data is only available at low temporal resolution. SSTs from the Meteosat Second Generation (MSG) satellite have recently become available. SSTs (at the air-sea interface) from the new model are compared with the satellite SSTs at buoy locations in the Atlantic and show useful agreement with the shape and amplitude of the diurnal cycle for several events, (within the limits imposed by the low-resolution forcing data presently available for the satellite/buoy match-ups).
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Monson, Elizabeth Ida. "Simulations of Controlled Fires Using the One-Dimensional Turbulence Model with Application to Fire Spread in Wildland Fires." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/3163.

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The mechanism of flame propagation in fuel beds of wildland fires is important to understand and quantify fire spread rates. Fires spread by radiative and convective heating and often require direct flame contact to achieve ignition. The flame interface in an advancing fire is unsteady and turbulent, making study of intermittent flames in complex fuels difficult. This thesis applies the one-dimensional turbulence (ODT) model to a study of flame propagation by simulating a lab-scale fire representative of the flame interface in a fuel bed and incorporating solid fuel particles into the ODT code. The ODT model is able to resolve individual flames (a unique property of this model) and provide realistic turbulent statistics. ODT solves diffusion-reaction equations on a line-of-sight that is advanced either in time or in one spatial direction (perpendicular to the line-of-sight). Turbulent advection is modeled through stochastic domain mapping processes. A vertical wall fire, in which ethylene fuel is slowly fed through a porous ceramic, is modeled to investigate an unsteady turbulent flame front in a controlled environment. Simulations of this configuration are performed using a spatial formulation of the ODT model, where the ODT line is perpendicular to the wall and is advanced up the wall. Simulations include radiation and soot effects and are compared to experimental temperature data taken over a range of fuel flow rates. Flame structure, velocities, and temperature statistics are reported. The ODT model is shown to capture the evolution of the flame and describe the intermittent properties at the flame edge, though temperature fluctuations are somewhat over predicted. A solid particle devolatilization model was included in the ODT code to study the convective heating of unburnt solid fuels through direct flame contact. Here the particles are treated as sweet gum hardwood and a single-reaction, first order decomposition model is used to simulate the devolatilization rates. Only preliminary results were presented for a simple case, but this extension of the ODT model presents new opportunities for future research.
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Lan, Yueheng. "Dynamical systems approach to one-dimensional spatiotemporal chaos -- A cyclist's view." Diss., Available online, Georgia Institute of Technology, 2004:, 2004. http://etd.gatech.edu/theses/available/etd-10282004-154606/unrestricted/lan%5Fyueheng%5F200412%5Fphd.pdf.

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Thesis (Ph. D.)--Physics, Georgia Institute of Technology, 2005.
Jean Bellissard, Committee Member ; Turgay Uzer, Committee Member ; Roman Grigoriev, Committee Member ; Konstantin Mischaikow, Committee Member ; Predrag Cvitanovic, Committee Chair. Vita. Includes bibliographical references.
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Sun, Guangyuan. "Stochastic Simulation of Lagrangian Particle Transport in Turbulent Flows." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5838.

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This dissertation presents the development and validation of the One Dimensional Turbulence (ODT) multiphase model in the Lagrangian reference frame. ODT is a stochastic model that captures the full range of length and time scales and provides statistical information on fine-scale turbulent-particle mixing and transport at low computational cost. The flow evolution is governed by a deterministic solution of the viscous processes and a stochastic representation of advection through stochastic domain mapping processes. The three algorithms for Lagrangian particle transport are presented within the context of the ODT approach. The Type-I and -C models consider the particle-eddy interaction as instantaneous and continuous change of the particle position and velocity, respectively. The Type-IC model combines the features of the Type-I and -C models. The models are applied to the multiphase flows in the homogeneous decaying turbulence and turbulent round jet. Particle dispersion, dispersion coefficients, and velocity statistics are predicted and compared with experimental data. The models accurately reproduces the experimental data sets and capture particle inertial effects and trajectory crossing effect. A new adjustable particle parameter is introduced into the ODT model, and sensitivity analysis is performed to facilitate parameter estimation and selection. A novel algorithm of the two-way momentum coupling between the particle and carrier phases is developed in the ODT multiphase model. Momentum exchange between the phases is accounted for through particle source terms in the viscous diffusion. The source term is implemented in eddy events through a new kernel transformation and an iterative procedure is required for eddy selection. This model is applied to a particle-laden turbulent jet flow, and simulation results are compared with experimental measurements. The effect of particle addition on the velocities of the gas phase is investigated. The development of particle velocity and particle number distribution are illustrated. The simulation results indicate that the model qualitatively captures the turbulent modulation with the presence of difference particle classes with different solid loadings. The model is then extended to simulate temperature evolution of the particles in a nonisothermal hot jet, in which heat transfer between the particles and gas is considered. The flow is bounded by a wall on the one side of the domain. The simulations are performed over a range of particle inertia and thermal relaxation time scales and different initial particle locations. The present study investigates the post-blast-phase mixing between the particles, the environment that is intended to heat them up, and the ambient environment that dilutes the jet flow. The results indicate that the model can qualitatively predict the important particle statistics in jet flame.
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Books on the topic "One Dimensional Turbulence"

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Schulz, H. E. One Dimensional Turbulent Transfer Using Random Square Waves - Scalar. INTECH Open Access Publisher, 2011.

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Andress, David, ed. The Oxford Handbook of the French Revolution. Oxford University Press, 2013. http://dx.doi.org/10.1093/oxfordhb/9780199639748.001.0001.

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This text offers a comprehensive overview of the varied historiographical landscape of the French Revolution. Contributions consider in detail the intersection of longstanding debates and recent groundbreaking research, ranging from the social, economic and demographic shifts underpinning the condition of France in the 1780s, through the varied international contexts of the revolutionary crisis, to an extensive and multi-dimensional discussion of all the many phases of the turbulent 1790s, and concluding with far-ranging reflections on the longer-term repercussions of the events in their social, cultural and political dimensions.
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Rajeev, S. G. Boundary Layers. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0007.

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It is found experimentally that all the components of fluid velocity (not just thenormal component) vanish at a wall. No matter how small the viscosity, the large velocity gradients near a wall invalidate Euler’s equations. Prandtl proposed that viscosity has negligible effect except near a thin region near a wall. Prandtl’s equations simplify the Navier-Stokes equation in this boundary layer, by ignoring one dimension. They have an unusual scale invariance in which the distances along the boundary and perpendicular to it have different dimensions. Using this symmetry, Blasius reduced Prandtl’s equations to one dimension. They can then be solved numerically. A convergent analytic approximation was also found by H. Weyl. The drag on a flat plate can now be derived, resolving d’Alembert’s paradox. When the boundary is too long, Prandtl’s theory breaks down: the boundary layer becomes turbulent or separates from the wall.
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Zeitlin, Vladimir. Vortex Dynamics on the f and beta Plane and Wave Radiation by Vortices. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0006.

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Quasi-geostrophic dynamics being essentially the vortex dynamics, the main notions of vortex dynamics in the plane are introduced in this chapter. Dynamics of vorticity is treated both in Eulerian and Lagrangian descriptions. Dynamics of point vortices and vortex patches (contour dynamics) are recalled, as well as discretisations of the vorticity equation preserving Casimir invariants, which reflect Lagrangian conservation of vorticity. The influence of the beta effect upon vortices is illustrated, and exact modon solutions of the QG equations on the f and beta planes are constructed. Basic notions of turbulence and specific features of two dimensional turbulence are reviewed for future use. Lighthill radiation of gravity waves by vortices is illustrated on the example of a pair of point vortices, and back-reaction of the radiation upon the vortex system is demonstrated and analysed. Influence of rotation upon the Lighthill radiation is explained. Construction of the Kirchhoff vortex solution is proposed as a problem.
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Isett, Philip. Introduction. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.101.003.0001.

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In the paper [DLS13], De Lellis and Székelyhidi introduce a method for constructing periodic weak solutions to the incompressible Euler equations{∂tv+div v⊗v+∇p=0 div v=0in three spatial dimensions that are continuous but do not conserve energy. The motivation for constructing such solutions comes from a conjecture of Lars Onsager [Ons49] on the theory of turbulence in an ideal fluid. In the modern language of PDE, Onsager's conjecture can be translated as follows....
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Isett, Philip. Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.001.0001.

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Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Hölder. This book uses the method of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition behind the method, the ideas introduced now play a pivotal role in the ongoing study of weak solutions to fluid dynamics equations. The construction itself—an intricate algorithm with hidden symmetries—mixes together transport equations, algebra, the method of nonstationary phase, underdetermined partial differential equations (PDEs), and specially designed high-frequency waves built using nonlinear phase functions. The powerful “Main Lemma”—used here to construct nonzero solutions with compact support in time and to prove nonuniqueness of solutions to the initial value problem—has been extended to a broad range of applications that are surveyed in the appendix. Appropriate for students and researchers studying nonlinear PDEs, this book aims to be as robust as possible and pinpoints the main difficulties that presently stand in the way of a full solution to Onsager's conjecture.
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Escudier, Marcel. Introduction to Engineering Fluid Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.001.0001.

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Turbojet and turbofan engines, rocket motors, road vehicles, aircraft, pumps, compressors, and turbines are examples of machines which require a knowledge of fluid mechanics for their design. The aim of this undergraduate-level textbook is to introduce the physical concepts and conservation laws which underlie the subject of fluid mechanics and show how they can be applied to practical engineering problems. The first ten chapters are concerned with fluid properties, dimensional analysis, the pressure variation in a fluid at rest (hydrostatics) and the associated forces on submerged surfaces, the relationship between pressure and velocity in the absence of viscosity, and fluid flow through straight pipes and bends. The examples used to illustrate the application of this introductory material include the calculation of rocket-motor thrust, jet-engine thrust, the reaction force required to restrain a pipe bend or junction, and the power generated by a hydraulic turbine. Compressible-gas flow is then dealt with, including flow through nozzles, normal and oblique shock waves, centred expansion fans, pipe flow with friction or wall heating, and flow through axial-flow turbomachinery blading. The fundamental Navier-Stokes equations are then derived from first principles, and examples given of their application to pipe and channel flows and to boundary layers. The final chapter is concerned with turbulent flow. Throughout the book the importance of dimensions and dimensional analysis is stressed. A historical perspective is provided by an appendix which gives brief biographical information about those engineers and scientists whose names are associated with key developments in fluid mechanics.
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Gragl, Paul. Conclusion. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198796268.003.0006.

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This concluding chapter once again takes up the overall research question of this book (i.e. whether the ‘law is one’) and answers it in the affirmative. It argues that only monism under the primacy of international law is capable of taking the concept of ‘legal validity’ seriously and that it is indispensable in cognizing and explaining the law. Furthermore, it demonstrates moral superiority over its competitor theories, which make it even more appealing in terms of its ethical dimensions. Lastly, especially in our politically turbulent times, this conclusion emphasizes that only international law-centred monism can successfully contribute to global unity and the peaceful resolution of conflicts through legal means.
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Bedock, Camille. Why Study Bundles of Reforms? Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198779582.003.0002.

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This chapter starts by presenting the numerous conceptual and empirical arguments that have been put forward suggesting that political elites in Western European democracies have been trapped in areas of turbulence for the last two decades, with this taking the form of a general ‘erosion of political support’ (Dalton 2004). This perceived crisis of consolidated democracies has led to a broad debate on democratic institutions. The chapter then presents the dependent variable studied in this book, the bundle of reforms. The chapter commonly refers to ‘institutional systems’. The starting point, based on the existing literature and specifically on Lijphart’s work, is that democratic institutions evaluated together constitute a system. As a consequence, democratic reforms should also be studied taking into account the systemic nature of democratic institutions. The bundle of reforms constitutes a relevant unit of analysis with which to analyse reforms affecting multiple dimensions of the institutions simultaneously.
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Drew, Allison. Communism in Africa. Edited by Stephen A. Smith. Oxford University Press, 2013. http://dx.doi.org/10.1093/oxfordhb/9780199602056.013.003.

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Communism in Africa can be analyzed along two dimensions: Communist movements that generally developed between the two world wars and were subjected to state repression and communism as a post-colonial state policy. During the colonial era communists built alliances with democratic and anti-colonial movements; any success reflected their ability to forge links with trade unions and nationalist organizations. Following independence, many new states adopted communist ideology and policies to facilitate international alliances and promote development. Those regimes form a subset of African one-party states that span the ideological spectrum. In post-colonial Africa communist and socialist movements have made episodic political gains during turbulent periods, but they have found it difficult to capitalize on such advances when faced with multiparty elections.
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Book chapters on the topic "One Dimensional Turbulence"

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Echekki, Tarek, Alan R. Kerstein, and James C. Sutherland. "The One-Dimensional-Turbulence Model." In Turbulent Combustion Modeling, 249–76. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0412-1_11.

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Panchev, S., and V. Roussenov. "One-Dimensional Analog of the Saltzman-Lorenz Problem for Thermal Convection." In Advances in Turbulence, 77–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83045-7_11.

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Galtier, S., H. Politano, and A. Pouquet. "A One-Dimensional MHD Model of Solar Flares: Statistics or Physics?" In IUTAM Symposium on Developments in Geophysical Turbulence, 283–92. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-010-0928-7_22.

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Owens, E. M., and D. R. F. Harleman. "A One-Dimensional Turbulence Model for Vertical Transport in Stratified Lakes." In Water Pollution: Modelling, Measuring and Prediction, 125–39. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3694-5_9.

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Jozefik, Zoltan, Alan R. Kerstein, and Heiko Schmidt. "Towards a Compressible Reactive Multiscale Approach Based on One-Dimensional Turbulence." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 197–211. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-11967-0_13.

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Klein, Marten, and Heiko Schmidt. "Stochastic Modeling of Passive Scalars in Turbulent Channel Flows: Predictive Capabilities of One-Dimensional Turbulence." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 47–57. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79561-0_5.

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Movaghar, A., R. Chiodi, O. Desjardins, M. Oevermann, and A. R. Kerstein. "A Subgrid-Scale Model for Large-Eddy Simulation of Liquid/Gas Interfaces Based on One-Dimensional Turbulence." In Turbulent Cascades II, 83–91. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12547-9_10.

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Alfredsson, P. H., A. A. Bakchinov, V. V. Kozlov, and M. Matsubara. "Laminar-Turbulent Transition at a High Level of a Free Stream Turbulence." In IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers, 423–36. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-1700-2_40.

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Saiki, E. M., R. M. Kerr, and W. G. Large. "Three-Dimensional Initiation of Thermohaline Fingering." In IUTAM Symposium on Developments in Geophysical Turbulence, 67–80. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-010-0928-7_6.

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van Heijst, GertJan, and Herman Clercx. "Two-Dimensional Turbulence on A Bounded Domain." In IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, 65–75. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-6744-0_6.

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Conference papers on the topic "One Dimensional Turbulence"

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Klein, M., C. Zenker, K. Hertha, and H. Schmidt. "Modeling One and Two Passive Scalar Mixing in Turbulent Jets Using One-Dimensional Turbulence." In 14th WCCM-ECCOMAS Congress. CIMNE, 2021. http://dx.doi.org/10.23967/wccm-eccomas.2020.205.

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Sharma, Sparsh, Marten Klein, and Heiko Schmidt. "Modelling turbulent jets at high-Reynolds number using one-dimensional turbulence." In AIAA AVIATION 2021 FORUM. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2021. http://dx.doi.org/10.2514/6.2021-2104.

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Shihn, Harmanjeet, and Paul E. DesJardin. "Near-Wall Modeling for Vertical Wall Fires Using One-Dimensional Turbulence." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59861.

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This paper presents the simulation of an idealized vertical wall fire using one-dimensional turbulence (ODT) modeling. Near wall gas-phase molecular processes of conduction, gas-phase and shoot reactions, and radiative heat transfer are treated exactly while the effects of turbulent mixing processes are modeled using ODT triplet mapping stirring events that allow the effects of turbulence-chemistry-radiation interactions to be examined. Transport equations for species and temperature are solved using an operator splitting algorithm method that employs a Crank-Nicholson scheme for diffusion/conduction, and the LSODE library to integrate the numerically stiff chemical source terms. Radiative heat transfer is accounted by using a two-flux model. Results are presented for the evolution of turbulent wall fires, with and without the effects of turbulent mixing. The use of the ODT model is shown to capture a laminar to turbulent flow transition resulting in enhanced heat transfer to the wall.
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Schmidt, H., J. Medina Méndez, and M. Klein. "EHD Turbulence in Channel Flows with Inhomogeneous Electrical Fields: A One-Dimensional Turbulence Study." In 14th WCCM-ECCOMAS Congress. CIMNE, 2021. http://dx.doi.org/10.23967/wccm-eccomas.2020.131.

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Méndez, J., M. Klein, and H. Schmidt. "The One-Dimensional Turbulence Aspects of Internal Forced Convective Flows." In 14th WCCM-ECCOMAS Congress. CIMNE, 2021. http://dx.doi.org/10.23967/wccm-eccomas.2020.338.

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Jozefik, Zoltan, Matthew E. Harvazinski, Venkateswaran Sankaran, Sai Sandeep Dammati, Alexei Poludnenko, Rui Xu, and Hai Wang. "One-dimensional turbulence modeling of a freely propagating turbulent flame with comparison to DNS." In AIAA Scitech 2021 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2021. http://dx.doi.org/10.2514/6.2021-0551.

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Fistler, Marco, David O. Lignell, Alan Kerstein, and Michael Oevermann. "Numerical studies of turbulent particle-laden jets using spatial approach of one-dimensional turbulence." In ILASS2017 - 28th European Conference on Liquid Atomization and Spray Systems. Valencia: Universitat Politècnica València, 2017. http://dx.doi.org/10.4995/ilass2017.2017.4604.

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To challenge one of the major problems for multiphase flow simulations, namely computational costs, a dimension-reduced model is used with the goal to predict these types of flow more efficiently. One-dimensional turbulence (ODT) is a stochastic model simulating turbulent flow evolution along a notional one-dimensional line of sight by applying instantaneous maps that represent the effect of individual turbulent eddies on property fields. As the particle volume fraction is in an intermediate range above 10−5 for dilute flows and under 10−2 for dense ones, turbulence modulation is important and can be sufficiently resolved with a two-way coupling approach, which means the particle phase influences the fluid phase and vice versa. For the coupling mechanism the ODT multiphase model is extended to consider momentum transfer and energy in the deterministic evolution and momentum transfer during the particle-eddy interaction. The changes of the streamwise velocity profiles caused by different solid particle loadings are compared with experimental data as a function of radial position. Additionally, streamwise developments of axial RMS and mean gas velocities along the centerline are evaluated as functions of axial position. To achieve comparable results, the spatial approach of ODT in cylindrical coordinates is used here. The investigated jet configuration features a nozzle diameter of 14.22 cm and a Reynolds number of 8400, which leads to a centerline inlet velocity of 11.7 m/s. The particles used are glass beads with a density of 2500 kg/m3. Two different particle diameters (25 and 70 µm) were tested for an evaluation of the models capability to capture the impact of a varying Stokes number and also two different particle solid loadings (0.5 and 1.0) were evaluated. It is shown that the modelis capable of capturing turbulence modulation of particles in a round jet.DOI: http://dx.doi.org/10.4995/ILASS2017.2017.4604
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Shihn, Harmanjeet, and Paul E. DesJardin. "Modeling Heat Transfer From a Vertical Isothermal Plate Using a One-Dimensional Turbulence Stochastic Mixing Model of Turbulence." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82914.

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A turbulent natural convection boundary layer along a vertical isothermal flat plate in air is investigated based on the one-dimensional turbulence (ODT) modeling approach of Kerstein. The advantage of this approach is that near-wall conduction process can be treated without approximation. The effects of multi-dimensional turbulent mixing processes are modeled using a stochastic process description via triplet mapping stirring events. Adapting the ODT model to the problem of an isothermal plate includes modifying the local characteristic eddy time scale to account for the effects of buoyancy induced mixing mechanisms. Both a Lagrangian and Eulerian implementations of the ODT model are presented. Profiles of time-averaged and RMS velocity and temperature are compared to experimental data and existing self-similarity theory for thermal boundary layer along with Nusselt number predictions.
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Kim, Jin-Hwa, Jung Yul Yoo, and Shin-Hyoung Kang. "Effects of Dilatation and Vortex Stretching on Turbulence in One-Dimensional and Axisymmetric Flows." In 41st Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2003. http://dx.doi.org/10.2514/6.2003-1289.

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TRUMAN, A., C. N. REYNOLDS, and D. WILLIAMS. "STOCHASTIC BURGERS EQUATION IN D-DIMENSIONS - A ONE-DIMENSIONAL ANALYSIS: HOT AND COOL CAUSTICS AND INTERMITTENCE OF STOCHASTIC TURBULENCE." In Proceedings of the Swansea 2002 Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812703989_0016.

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Reports on the topic "One Dimensional Turbulence"

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Kolla, Hemanth, and Jacqueline H. Chen. One-dimensional turbulence modeling of a turbulent counterflow flame with comparison to DNS. Office of Scientific and Technical Information (OSTI), June 2015. http://dx.doi.org/10.2172/1184367.

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McDermott, Randy, Alan R. Kerstein, and Rodney Cannon Schmidt. ODTLES : a model for 3D turbulent flow based on one-dimensional turbulence modeling concepts. Office of Scientific and Technical Information (OSTI), January 2005. http://dx.doi.org/10.2172/921740.

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Hou, Chen. One-dimensional Turbulence Models of Type I X-ray Bursts. Office of Scientific and Technical Information (OSTI), January 2016. http://dx.doi.org/10.2172/1326220.

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Saric, William S. On the Three-Dimensional Structure of Boundary Layers Undergoing Transition to Turbulence. Fort Belvoir, VA: Defense Technical Information Center, March 1985. http://dx.doi.org/10.21236/ada179733.

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Stewart, Devin O., and Roger L. Simpson. Effects of Spacing and Geometry of Distributed Roughness Elements on a Two-Dimensional Turbulent Boundary Layer. Fort Belvoir, VA: Defense Technical Information Center, December 2005. http://dx.doi.org/10.21236/ada462101.

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