Ensemble model of turbulence based on states of constant flux in wavenumber space.
basic_science · Level V
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- Record sourced from PubMed, PMID 36397535.
- Also identified by DOI 10.1103/PhysRevE.106.045106.
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Abstract
An ensemble model of turbulence is proposed. The ensemble consists of flow fields in which the flux of an inviscid conserved quantity, such as energy (or enstrophy in two-dimensional flow fields), across the wave number k is a constant independent of k in an appropriate range. Two-dimensional flow fields of constant enstrophy flux are sampled randomly by a Monte Carlo method. The energy spectra E_{k} of the flow fields are consistent with the scaling E_{k}∝k^{-3}[ln(k/k_{b})]^{-1/3} where k_{b} is the bottom wave number of the constant-flux range.