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Main Authors: George, Jino, Liu, Chang
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.12166
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author George, Jino
Liu, Chang
author_facet George, Jino
Liu, Chang
contents This work employs structured input-output analysis (SIOA) to study Waleffe flow. The SIOA framework employs structured uncertainty to include the componentwise structure of nonlinearity in Navier-Stokes equations, and SIOA quantifies the flow response using structured singular values. The structured input-output analysis identifies the wavelength and inclination angle of oblique turbulent bands observed in large-domain direct numerical simulations. The structured input-output response scales over Reynolds number as $\sim Re^{1.7}$.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12166
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Structured input-output analysis of oblique turbulent bands in Waleffe flow
George, Jino
Liu, Chang
Fluid Dynamics
Systems and Control
This work employs structured input-output analysis (SIOA) to study Waleffe flow. The SIOA framework employs structured uncertainty to include the componentwise structure of nonlinearity in Navier-Stokes equations, and SIOA quantifies the flow response using structured singular values. The structured input-output analysis identifies the wavelength and inclination angle of oblique turbulent bands observed in large-domain direct numerical simulations. The structured input-output response scales over Reynolds number as $\sim Re^{1.7}$.
title Structured input-output analysis of oblique turbulent bands in Waleffe flow
topic Fluid Dynamics
Systems and Control
url https://arxiv.org/abs/2605.12166