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Accurate Roms for Industrial Applications

Project description

A new approach for reduced-order models

In fluid mathematics, the Euler and Navier–Stokes equations are a set of highly non-linear partial differential equations. They are two of the most challenging continuum models. The mathematical modelling and solution of these equations is considered the greatest challenge in continuum modelling of physical phenomena. The EU-funded ARIA project will develop mathematical methods for constructing predictive reduced-order models (ROMs) to simplify them with accuracy, reliability and efficiency that is guaranteed. It will propose new approaches to solving this challenging topic, which was selected as the principal focus because of its intrinsic importance. The challenges will be tackled through a staff exchange programme by combining the unique expertise of the project's extended research team that includes leading EU universities and research centres as well as young start-ups and large industrial groups.

Objective

The project Accurate Roms for Industrial Applications aims at developing an array of mathematical methods for constructing predictive reduced-order models (ROMs) with guaranteed accuracy, robustness, reliability and efficiency for applications involving complex physical phenomena. New approaches to this challenge are proposed here with a focus on the Euler and Navier–Stokes equations of fluid flow, two of the most challenging continuum models with an extraordinary rich range of industrial applications. The mathematical modeling and solution of the Euler and Navier-Stokes equations is sometimes cited as the greatest challenge in continuum modeling of physical phenomena. This topic is selected as our principal focus because of its intrinsic importance, but also because the mathematical methods developed in addressing this very challenging task may well have an impact on other fields of knowledge. We plan to tackle these challenging objectives in this staff exchange program by combining the unique expertise of our extended research team whose members have made significant progress in ROM research during the past decade. This academic expertise is cross-fertilized by the exchange with knowledge intensive SMEs ans start up and well established industrial partners that will benefit from the scientific and technological results of the team and will challenge the solutions found with applications in real world problems.

Coordinator

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
Net EU contribution
€ 243 800,00
Address
DOMAINE DE VOLUCEAU ROCQUENCOURT
78153 Le Chesnay Cedex
France

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Region
Ile-de-France Ile-de-France Yvelines
Activity type
Research Organisations
Links
Total cost
€ 243 800,00

Participants (14)

Partners (3)