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Novel unified and extended mixture theories: theory and numerics

Project description

Improving the accuracy of mixture theories

To date, no mixture theory can satisfactorily describe the processes that occur in a multiphase flow in a closed and unified way, fulfilling the laws of thermodynamics and the principle of causality. With the support of the Marie Skłodowska-Curie Actions programme, the OMNIA project believes that deeper insight into the mathematical modelling framework is necessary to achieve reliable numerical outcomes in the complex field of mixture theories. Thus, OMNIA proposes an approach that combines mathematical physics and numerical analysis to establish novel structure-preserving discretisations of unified and extended mixture theories.

Objective

OMNIA proposes a unique combination of mathematical physics and numerical analysis to achieve new, provably structure-preserving discretizations of novel unified and extended mixture theories. This project is based on the firm belief that to obtain reliable numerical results, especially in a complex field such as mixture theories, where exact solutions are lacking, a deep understanding of the basic mathematical modelling framework is required.
So far, there is no mixture theory capable of describing the processes occurring in a multiphase flow in a closed and comprehensive manner, respecting the laws of thermodynamics and the principle of causality.
For this reason, OMNIA, after adequately addressing numerically what is most exhaustive in the literature, aims to establish a theoretical framework to extend the existing model to derive a non-equilibrium mixture theory which simultaneously includes fundamental processes such as convective and dissipative effects but also dispersive processes.
Finally, to address the resulting complex monolithic model, finite volume methods with novel structure preserving properties will be developed, that not only accurately solve the obtained system respecting its thermodynamic properties at a discrete level, but also preserve additional mathematical characteristics. Namely, new semi-implicit, asymptotic-preserving numerical methods will be devised which are capable of preserving the curl free constraints endowed by the model.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2024-PF-01

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Coordinator

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
Net EU contribution
€ 226 420,56
Address
DOMAINE DE VOLUCEAU ROCQUENCOURT
78153 Le Chesnay Cedex
France
Region
Ile-de-France Ile-de-France Yvelines
Activity type
Research Organisations
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Total cost
No data

Partners (2)