1996
DOI: 10.1063/1.871572
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Technique for the experimental estimation of nonlinear energy transfer in fully developed turbulence

Abstract: A new procedure for calculating the nonlinear energy transfer and linear growth/damping rate of fully developed turbulence is derived. It avoids the unphysically large damping rates typically obtained using the predecessor method of Ritz ͓Ch. P. Ritz, E. J. Powers, and R. D. Bengtson, Phys. Fluids B 1, 153 ͑1989͔͒. It enforces stationarity of the turbulence to reduce the effects of noise and fluctuations not described by the basic governing equation, and includes the fourth-order moment to avoid the closure ap… Show more

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Cited by 58 publications
(74 citation statements)
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“…[12,13,14,15,16] The inherently nonstationary nature of the L-H transition, however, renders the use of such methods impossible. Thus the study of this important transition requires the treatment of the simultaneous evolution of turbulent scales and sheared E × B flows.…”
Section: Model Equationsmentioning
confidence: 99%
“…[12,13,14,15,16] The inherently nonstationary nature of the L-H transition, however, renders the use of such methods impossible. Thus the study of this important transition requires the treatment of the simultaneous evolution of turbulent scales and sheared E × B flows.…”
Section: Model Equationsmentioning
confidence: 99%
“…Most fluctuation measurements have focussed on zero and one-dimensional measurements as a result of the diagnostic systems or measurement technique. While such measurements have proven very valuable at characterizing turbulence in a wide variety of experimental devices and operational regimes, to make the next step to diagnosing the highly nonlinear properties of turbulence 2,3 and rigorously comparing measurements to simulations and challenging models for turbulent transport, it has been recognized that two-dimensional fluctuation measurements will be an essential element of advancing turbulence physics.…”
Section: Introductionmentioning
confidence: 99%
“…That is complementary to a nonlinear analysis which estimates energy transfer between spatial modes. In complement to the BD analysis, a nonlinear algorithm involving the bispectral analysis technique 8,9 is being adapted to 2D BES data in order to determine linear growth/damping rate, nonlinear coupling between turbulent modes in the plasma as well as nonlinear energy transfer rate between modes.…”
Section: Discussion and Prospectsmentioning
confidence: 99%
“…Higher-order analysis, such as studies of nonlinear mode coupling in 2D data, 8 provides measurement of the coupling and power flow between different spatial wavelengths. To complement such analysis, there is interest in exploring means of correlating spatial and temporal properties of the turbulence, and search for longlived coherent structures.…”
Section: Search For Coherent Structures In 2d Bes Datamentioning
confidence: 99%