## Contact

- Phone: +33 3 25 71 80 41
- e-mail: florian.blachere@utt.fr
- Professional address: Université de technologie de Troyes (UTT), 12 rue Marie Curie CS 42060 10004 TROYES CEDEX, France
- Web page at the UTT

### Bibliographic external links

- IdHAL: florian-blachere
- IdRef: 198304501
- ORCID: 0000-0001-7591-2707
- scanR: idref198304501
- Scopus Author Identifier: 57188634259
- theses.fr: 198304501
- zbMATH: blachere.florian

## Post-doc

- The post-doctoral contract is funded by the Fondation Mathématique Jacques Hadamard (FMJH) and the Hadamard Mathematics Labex (LMH, public grant as part of the Investissement d'avenir project ANR-11-LABX-0056-LMH) to work with IMOSE (Institut pour la Modélisation et l'Optimisation des Systèmes et des Énergies) created by C. Chalons and L. Dumas, which aims at make a link between companies with needs of simulation and modelisation and researchers.
- IMOSE is a meber of then MSO network (Modelisation, Simulation, Optimisation) inaugurated on 28th march 2017 in the Henri Poincaré Institute (IHP).
- IMOSE is on Twitter : @im0se !
- The current project is a collaboration with OffiSanté in order to develop a forecast for the propagation of some pathologies. The input data are available online and some results can be seen in a video in the website of IMOSE.

## PhD

### High order and asymptotic preserving schemes for radiative hydrodynamics,

under the direction of R. Turpault in the Laboratoire de Mathématiques Jean Leray, defended on 2016/09/27, with the following jury:- P. Lafitte et R. Natalini (reviewers),
- B. Després (president),
- C. Berthon, C. Le Potier, H. Mathis et G. Puigt (examiners),
- R. Turpault (advisor).

- The objective of this PhD thesis is to design a high-order and explicit finite volume scheme for specific systems of conservations laws with stiff source terms. Those systems may degenerate into diffusion equations, for instance this behaviour can be observed with the isentropic Euler model with friction or with the M1 model for radiative transfer. A general theory is proposed to design a first-order asymptotic preserving scheme to follow this degeneracy. The scheme is proved to be stable and consistent under a classical hyperbolic CFL condition in both hyperbolic and diffusive regimes, for any 2D unstructured mesh. Moreover, the developed scheme also preserves the set of admissible states in all regimes, which is mandatory to conserve physical solutions in stiff configurations.
- Manuscript in pdf or on TEL and the slides .

### Keywords

- computational science, finite volume schemes, 2D unstructured mesh, asymptotic-preserving schemes, admissibility-preserving schemes, conservation laws with source terms. diffusive equation.

## Papers

- [5] A. Cherouat, H. Borouchaki, F. Blachère, Métrique et maillage - définition et bases théoriques, Mise en forme des métaux et fonderie (2023), 10.51257/a-v1-m3011,
- [4] F. Blachère and H. Borouchaki, Covariance edges matrix of geometric elements, Annals of Mathematics and Physics (2023), 10.17352/amp.000088,
- [3] F. Blachère, C. Chalons, R. Turpault. Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes, Computers & Mathematics with Applications (2021), 10.1016/j.camwa.2021.02.003 (pdf or on HAL),
- [2] F. Blachère, R. Turpault. An asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction, Comput. Methods Appl. Mech. Engrg. (2017), 10.1016/j.cma.2017.01.012 (pdf or on HAL),
- [1] F. Blachère, R. Turpault, An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes, J. Comput. Phys. (2016), 10.1016/j.jcp.2016.03.045 (pdf or on HAL).

## Technical report

- [1] F. Blachère, C. Chalons, L. Dumas, "Météo santé" : Prévision d’épidémies à partir de ventes de médicaments, UVSQ, Tech. Rep., Jun. 2017.

## Seminars

- April 2022: Institut de recherche mathématique de Rennes,
- March 2022: Institut de Recherche Mathématique Avancée, Strasbourg,
- November 2018: Laboratoire de Mathématiques Appliquées de Compiège,
- February 2018: Laboratoire Amiénois de Mathématique Fondamentale et Appliquée,
- November 2017: Laboratoire de Mathématiques de Reims,
- March 2017 : Laboratoire Jacques Louis Lions, Paris,
- February 2017: Institut de Mathématiques de Bordeaux,
- January 2017: Laboratoire de Mathématiques de Versailles,

## Talks

- August 2018: ABPDE III, Lille
- May 2018: CANUM 2018, Cap d'Agde
- March 2018: ANR ACHyLLES - final worksop, Bordeaux,
- Juin 2017: SMAI 2017, La Tremblade,
- August 2016: Hyp2016, Aachen, Germany,
- May 2016: SHARK-FV 2016, São Félix, Portugal,
- June 2015: NumHyp 2015, Cortona, Italy,
- June 2015: EGRIN #3, Piriac-sur-Mer,
- April 2015: JDOC,
- April 2014: SHARK-FV 2014, Ofir, Portugal.

## Codes

### CAPS-HyDiL: Comparison of Asymptotic Preserving Schemes for the Hyperbolic to Diffusive Limit

- This code is released under the GPLv3 license and implements various scheme in order to make comparisons. Computations are done in 1D with the telegraph equations using schemes that preserve the diffusive limit implied by the late-time behaviour and/or with stiff source term. Sources are available here and results there .

### AdmAP2D: Admissibility and Asymptotic-Preserving finite volume scheme for systems of conservation laws with source terms on 2D unstructured meshes

- The computational code developed during the PhD is available under the
GPLv3 licence following this
link
.
It computes numerical solutions to system
of conservation laws with source term studied during the PhD on 2D unstructured meshes
using the HLL-DLP-AP scheme. This code is part of the project
ANR ACHYLLES
(
*Asymptotic Capturing for HYperbolic conservation Laws with LargE Source terms*) of reference ANR-14-CE25-0001. - This software was registered with the APP under number IDDN.FR.001.520012.000.S.P.2016.000.31235 on december 16, 2016.

## Teaching

## Responsibilities

- 2016-2018: Involved in the organisation of the CANUM 2018,
- 2014-2016: Member of the board of the doctoral school STIM.

## Education

- Septembre 2016: PhD in mathematics from the Université de Nantes,
- November 2013: Graduate School of Engineering in Mathematical modelling and mechanics at the ENSEIRB-MATMECA, Bordeaux-INP,
- September 2013: Master’s degree, Université de Bordeaux Master in modelling, mathematical engineering, statistic and economic (MIMSE).

## Technical skills

- Languages:
- Softwares:
- Libraries:
- Operating systems:
- GNU/Linux,
- Windows, MacOS.