Citation:

PANGAEA.987378 (DOI registration in progress)

Name: Numerical data of nonlinear optimal perturbation growth in pulsatile pipe flow
Published: 2025-12-11
License: https://creativecommons.org/licenses/by/4.0/
Keywords: nonlinear stability; pulsatile pipe flow; transition to turbulence

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Published: 2025-12-11

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Abstract:

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.

Keyword(s):

nonlinear stability; pulsatile pipe flow; transition to turbulence

Related to:

Keuchel, Patrick; Avila, Marc (2025): Nonlinear optimal perturbation growth in pulsatile pipe flow. Journal of Fluid Mechanics, 1024, A45, https://doi.org/10.1017/jfm.2025.10945

Parameter(s):

#	Name	Short Name	Unit	Principal Investigator	Method/Device
1	Binary Object	Binary		Keuchel, Patrick	Numerical simulated
2	Binary Object (File Size)	Binary (Size)	Bytes	Keuchel, Patrick	Numerical simulated
3	Figure	Fig		Keuchel, Patrick	Numerical simulated
4	Title	Title		Keuchel, Patrick	Numerical simulated
5	File name	File name		Keuchel, Patrick	Numerical simulated
6	Description	Description		Keuchel, Patrick	Numerical simulated

License:

Creative Commons Attribution 4.0 International (CC-BY-4.0)

Size:

15 data points

Data

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1 Binary	2 Binary (Size) [Bytes]	3 Fig	4 Title	5 File name	6 Description
Postprocessing.zip	35.4 MBytes	1 - 14	Python code and figure	Postprocessing.zip	Python and Matlab codes to reproduce the figures (and the figures) presented in the corresponding paper (Keuchel & Avila 2025)
ExampleCode.zip	9.4 MBytes	1 - 14	nsPipe simulation code and example	ExampleCode.zip	nsPipe simulation code for optimisations and DNS including an example case.
Data.zip	15 GBytes	1 - 14	Simulation data	Data.zip	Fourier coefficients of the velocity fields u_r, u_\theta and u_z of optimal perturbations and their cross sectionally integrated axial and cross sectional energy as a function of the axial coordinate and time for various (Re,Wo,A,tau_0,E_0).