Strain-coupled one-dimensional turbulence: a single-line closure, its limits, and the consequence for leading-edge noise
Abstract
Turbulence approaching a solid surface is strained before it arrives, and the distortion of its spectrum is often what governs the downstream response; yet reduced-order predictions, leading-edge-noise theory among them, still take the incoming spectrum as frozen. We develop a strain-coupled formulation of one-dimensional turbulence (ODT) that evolves strained turbulence with full spatial resolution at a cost compatible with parametric study, carrying the rapid distortion and the nonlinear relaxation together. The obstacle is that the rapid pressure-strain is non-local and three-dimensional while an ODT line resolves only the flow state along its own coordinate. Splitting the distortion physics by structure captures the phenomenology: the off-axis production and a spectrally closed rapid operator enter as continuous-in-time forcing along the model coordinate, while `eddy events' capture the on-line production and the turbulence-driven relaxation. Carried through to leading-edge noise, the evolved inflow shifts the predicted level by 5-20 dB at the energy-containing scales relative to the conventional frozen-spectrum assumption.
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BibTeX
@misc{sharma2026straincoupled,
title = {{Strain-coupled one-dimensional turbulence: a single-line closure, its limits, and the consequence for leading-edge noise}},
author = {Sparsh Sharma and Alan R. Kerstein},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.12048},
eprint = {2608.12048},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.12048},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Strain-coupled one-dimensional turbulence: a single-line closure, its limits, and the consequence for leading-edge noise
AU - Sparsh Sharma
AU - Alan R. Kerstein
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2608.12048
UR - https://arxiv.org/abs/2608.12048
AB - Turbulence approaching a solid surface is strained before it arrives, and the distortion of its spectrum is often what governs the downstream response; yet reduced-order predictions, leading-edge-noise theory among them, still take the incoming spectrum as frozen. We develop a strain-coupled formulation of one-dimensional turbulence (ODT) that evolves strained turbulence with full spatial resolution at a cost compatible with parametric study, carrying the rapid distortion and the nonlinear relaxation together. The obstacle is that the rapid pressure-strain is non-local and three-dimensional while an ODT line resolves only the flow state along its own coordinate. Splitting the distortion physics by structure captures the phenomenology: the off-axis production and a spectrally closed rapid operator enter as continuous-in-time forcing along the model coordinate, while `eddy events' capture the on-line production and the turbulence-driven relaxation. Carried through to leading-edge noise, the evolved inflow shifts the predicted level by 5-20 dB at the energy-containing scales relative to the conventional frozen-spectrum assumption.
ER -