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PERTURB SIGNED

Using periodic orbits to quantitatively describe and control 3D fluid turbulence.

Total Cost €

0

EC-Contrib. €

0

Partnership

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 PERTURB project word cloud

Explore the words cloud of the PERTURB project. It provides you a very rough idea of what is the project "PERTURB" about.

framework    flow    convection    phenomenon    despite    machine    theory    deterministic    equations    transport    heat    efficiencies    automatically    tools    canonical    weighted    walk    fulfilling    describe    variational    informative    stokes    owing    space    error    isolated    aircraft    navier    flows    channel    turbulence    block    exponential    learning    statistical    failed    periodic    description    dissipation    compute    identification    time    century    forest    resemble    dynamical    turbulent    promise    chemicals    contributor    energy    industrial    missing    rational    3d    relies    dynamically    drag    solutions    instead    inaccessible    almost    infinite    transition    predictive    road    mixing    suggests    combining    basis    chaotic    helps    pipelines    controls    fluid    chaos    dimensional    remove    libraries    unstable    incomplete    orbit    20th    rationalizing    construct    act    steady    viewed    orbits    express    mid    engineering    exact    amplification    obits    extensive   

Project "PERTURB" data sheet

The following table provides information about the project.

Coordinator
ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE 

Organization address
address: BATIMENT CE 3316 STATION 1
city: LAUSANNE
postcode: 1015
website: www.epfl.ch

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Switzerland [CH]
 Total cost 1˙999˙830 €
 EC max contribution 1˙999˙830 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2019-COG
 Funding Scheme ERC-COG
 Starting year 2020
 Duration (year-month-day) from 2020-09-01   to  2025-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE CH (LAUSANNE) coordinator 1˙999˙830.00

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 Project objective

Fluid turbulence is of key importance in engineering: it controls the drag on aircraft, is a major contributor to unwanted energy dissipation in pipelines, yet mixing of chemicals relies on it. Despite its importance, our understanding of turbulence is incomplete. Controlling turbulent flows, which would lead to significant efficiencies for industrial applications, remains a challenge.

The recent identification of unstable non-chaotic solutions of the Navier-Stokes equations suggests a promising framework to study the phenomenon. Here turbulence is viewed as a chaotic walk through a forest of exact solutions in the infinite-dimensional state space of the flow equations. While this dynamical systems approach helps rationalizing features of the transition to turbulence, it has so far failed to deliver on the promise it carried since the identification of deterministic chaos in the mid 20th century: To provide a predictive description of turbulence in terms of exact solutions and to act as a rational basis for controlling flows.

The major road block to fulfilling the promise is that we are missing tools to identify enough dynamically relevant exact solutions. These are time-periodic non-chaotic solutions that allow us to express statistical properties of turbulence as a weighted average over periodic orbits. Owing to the exponential error amplification in a chaotic system, periodic obits for 3D flows have been almost inaccessible. Instead, research has focused on isolated steady solutions that resemble features of the flow but are dynamically less informative.

We will remove the road block and construct extensive libraries of periodic orbits for two canonical 3D flows, turbulent convection and channel flow. By combining variational methods with machine learning tools we will automatically compute periodic orbits of the 3D Navier-Stokes equations. Using periodic orbit theory, we will describe and control flow properties including heat transport and turbulent drag.

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The information about "PERTURB" are provided by the European Opendata Portal: CORDIS opendata.

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