Numerical data of nonlinear optimal perturbation growth in pulsatile pipe flow

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Hauptverfasser: Keuchel, Patrick, Avila, Marc
Format: Dataset Open Access
Sprache:en
Veröffentlicht: PANGAEA 2025
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author Keuchel, Patrick
Avila, Marc
author_facet Keuchel, Patrick
Avila, Marc
collection Datos científicos de ciencias marinas y ambientales
contents Pulsatile fluid flows through straight pipes undergo a sudden transition to turbulence that is extremely difficult to predict. The difficulty stems here from the linear Floquet stability of the laminar flow up to large Reynolds numbers, well above experimental observations of turbulent flow. This makes the instability problem fully nonlinear and thus dependent on the shape and amplitude of the flow perturbation, in addition to the Reynolds and Womersley numbers and the pulsation amplitude. In our paper, we present an adjoint optimization code, based on a GPU implementation of the pseudo-spectral Navier--Stokes solver nspipe, which incorporates an automatic, optimal check-pointing strategy. We leverage this code to show that the flow is susceptible to two distinct instability routes: One in the deceleration phase, where the flow is prone to oblique instabilities, and another during the acceleration phase with similar mechanisms as in steady pipe flow. Instability is energetically more likely in the deceleration phase. This dataset includes optimal perturbations, their corresponding energy growth over time and post-processing scripts.
format Dataset Open Access
id pangaea_https___doi_org_10_1594_PANGAEA_987378
institution PANGAEA
language en
publishDate 2025
publisher PANGAEA
record_format pangaea
spellingShingle Numerical data of nonlinear optimal perturbation growth in pulsatile pipe flow
Keuchel, Patrick
Avila, Marc
Binary Object; Binary Object (File Size); Description; Figure; File name; nonlinear stability; Numerical simulated; pulsatile pipe flow; Title; transition to turbulence
Pulsatile fluid flows through straight pipes undergo a sudden transition to turbulence that is extremely difficult to predict. The difficulty stems here from the linear Floquet stability of the laminar flow up to large Reynolds numbers, well above experimental observations of turbulent flow. This makes the instability problem fully nonlinear and thus dependent on the shape and amplitude of the flow perturbation, in addition to the Reynolds and Womersley numbers and the pulsation amplitude. In our paper, we present an adjoint optimization code, based on a GPU implementation of the pseudo-spectral Navier--Stokes solver nspipe, which incorporates an automatic, optimal check-pointing strategy. We leverage this code to show that the flow is susceptible to two distinct instability routes: One in the deceleration phase, where the flow is prone to oblique instabilities, and another during the acceleration phase with similar mechanisms as in steady pipe flow. Instability is energetically more likely in the deceleration phase. This dataset includes optimal perturbations, their corresponding energy growth over time and post-processing scripts.
title Numerical data of nonlinear optimal perturbation growth in pulsatile pipe flow
topic Binary Object; Binary Object (File Size); Description; Figure; File name; nonlinear stability; Numerical simulated; pulsatile pipe flow; Title; transition to turbulence
url https://doi.org/10.1594/PANGAEA.987378