Structure Function
A tool describing the multiscale statistics of turbulence, defined as the higher-order moments of velocity increments across different scales, used to test intermittency and anomalous scaling.
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Structure functions are defined as the higher-order moments of velocity increments at different scales, and are a common tool for describing the multiscale statistics of turbulence.
Structure functions in turbulence exhibit anomalous scaling, i.e., the scaling exponents deviate from the predictions of Kolmogorov theory, which reflects intermittency.
Generative models may produce fields that "look like" turbulence while failing to correctly reproduce the energy cascade or structure functions.
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Structure functions are defined as the higher-order moments of velocity increments at different scales, and are a common tool for describing the multiscale statistics of turbulence.
50%UnverifiedStructure functions in turbulence exhibit anomalous scaling, i.e., the scaling exponents deviate from the predictions of Kolmogorov theory, which reflects intermittency.
50%UnverifiedGenerative models may produce fields that "look like" turbulence while failing to correctly reproduce the energy cascade or structure functions.
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