Camilla Fiorini

Camilla Fiorini

Maîtresse de Conférences

M2N

CNAM

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I am maîtresse de conférences (associate professor) at Conservatoire National des Arts et Métiers within the M2N laboratory, in Paris.

My main research interests are computational fluid dynamics, numerical analysis and PDEs.

✨ NEWS ✨
My project SPARCL has been selected for funding by the ANR.
Open positions for a master internship, a PhD and a post-doc will be available soon. E-mail me if you are interested!
Interests
  • Nonlinear hyperbolic PDEs
  • Conservation laws
  • Sensitivity analysis
  • Computational fluid dynamics
  • Reduced order models
Education

  • PhD in Applied Mathematics, 2018

    Université de Versailles

  • MSc in Mathematical Engineering, 2014

    Politecnico di Milano

  • BSc in Mathematical Engineering, 2012

    Politecnico di Milano

Experience

 
 
 
 
 
Maîtresse de conférences (associate professor)
M2N, Conservatoire National des Arts et Métiers
Sep 2021 – Present Paris, France
I am the principal investigator of the project SPARCL (2025-2029), funded by the ANR JCJC programme.
 
 
 
 
 
Post-doctoral researcher
Fluminance, Inria Rennes
Sep 2020 – Aug 2021 Rennes, France

I was part of the STUOD ERC project.

Advisor: Étienne Mémin.

 
 
 
 
 
Post-doctoral researcher
LJLL, Sorbonne Université
Oct 2018 – Aug 2020 Paris, France

Uncertainty quantification for the Navier-Stokes equations.

Advisors: Bruno Després, Maria Adela Puscas.

 
 
 
 
 
Ph.D student
LMV, Université de Versailles
Nov 2014 – Jul 2018 Versailles, France

Dissertation: Sensitivity analysis for nonlinear hyperbolic systems of conservation laws.

Advisors: Christophe Chalons, Régis Duvigneau.

SMAI-GAMNI PhD Award 2019 (French ECCOMAS Award) for the best thesis in the field of Computational Methods in Applied Sciences and Engineering in France.

 
 
 
 
 
Master internship
Opale team, Inria
Apr 2014 – Aug 2014 Sophia Antipolis, France

Definition of an efficient numerical strategy to minimise time dependent cost functionals for flow control problems.

Advisor: Régis Duvigneau.

Recent Publications

Nathalie Nouaime, Bruno Després, Maria Adela Puscas, Camilla Fiorini (2024). Stability of a continuous/discrete sensitivity model for the Navier–Stokes equations. Int. J. Num. Meth. Fluids.

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Camilla Fiorini, Maria Adela Puscas, Bruno Després (2023). Sensitivity analysis for a thermohydrodynamic model: uncertainty analysis and parameter estimation. Eur. J. Mech. B/Fluids.

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Camilla Fiorini (2023). Uncertainty propagation of the shock position for hyperbolic PDEs using a sensitivity equation method. In FVCA.

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See all publications

SPARCL

Structure-Preserving Approach for ROMs of Conservation Laws

This project focuses on the development of structure-preserving reduced order models (ROMs) for conservation laws. Conservation laws are PDEs that model advection-dominated physical problems. The solution to these kinds of PDEs can exhibit discontinuities and therefore classical ROMs are likely to fail in this scenario.

The main goal is to advance ROMs for conservation laws by enhancing their accuracy and reliability, while retaining their computational efficiency. The first step, is to transfer structure-preserving properties from high-fidelity methods to ROMs. Then, we will explore new reduced basis construction techniques based on the choice of different norms and on sensitivity studies. Finally, we aim at providing confidence intervals for ROM predictions, improving in this way the reliability of the output.

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Students

PhD students

Master students

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