Mathieu Coquerelle

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Mathieu COQUERELLE
ENSCBP – I2M
16, av. Pey-Berland
33607 Pessac CEDEX
France
+33 5 40 00 66 89
mathieu.coquerelle@bordeaux-inp.fr

Associate Professor at I2M and ENSEIRB-MATMECA, since Sept. 2015:
- Fluid mechanics and Numerical methods ; specialized in multiphase flows, interfaces dynamic and tracking, contact line dynamic
- Project: development and management of the Notus CFD code
- Teaching: multiphase flows, CFD Industrial codes, scientific computing
Post-doc. at I2M, Apr. 2014 – Aug. 2015:
- Labex CPU project: « Impact of rain on ocean waves »
- Keywords: multiphase flow, surface tension forces
- Supervisors: Stéphane Glockner, Pierre Lubin, Luc Mieussens, Fabrice Véron
PhD. candidate at Laboratoire Jean Kuntzmann, Grenoble, Sept. 2004 – Nov. 2008
- Thesis: Fluid-structure interaction computation with vortex methods and applications to image synthesis
- Keywords: fluid-structure interaction, vortex, level set, image synthesis
- Supervisors: Georges-Henri Cottet and Marie-Paule Cani
Assistant Professor at E NSIMAG and Université Joseph Fourier

Applied mathematics: finite differences, level set methods, high-order methods, high-performance computing
Mechanics: fluid mechanics, multiphase flow, surface tension

COQUERELLE, Mathieu et GLOCKNER, Stéphane. A fourth-order accurate curvature computation in a level set framework for two-phase flows subjected to surface tension forces. Journal of Computational Physics, 2016, vol. 305, p. 838-876.
COQUERELLE, Mathieu et COTTET, G.-H. A vortex level set method for the two-way coupling of an incompressible fluid with colliding rigid bodies. Journal of Computational Physics, 2008, vol. 227, no 21, p. 9121-9137.
COTTET, G.-H., BALARAC, Guillaume, et COQUERELLE, Mathieu. Subgrid particle resolution for the turbulent transport of a passive scalar. Advances in Turbulence XII, 2009, p. 779-782.
COQUERELLE, Mathieu, ALLARD, Jérémie, COTTET, Georges-Henri, et al. A vortex method for bi-phasic fluids interacting with rigid bodies. arXiv preprint math/0607597, 2006.

Félix HENRI (2018-2021): Numerical methods for the simulation of rain drops on ocean waves. (co-guidance with P. Lubin, I2M)
Thahn Nhan LE (2016-2019): Modeling of the triple contact line (between air, water and a solid) (co-guidance with S. Glockner, I2M)

Searching for candidate: Master thesis (2019): Modeling of the contact line dynamic with the General Boundary Condition (GNBC) in a level set framework ; implementation in the Notus CFD code.
Patrice SEBASTIANO: Master thesis (2018): Experimenting the epsilon-level set approach for multi-phase flows simulation in Notus CFD.
Maxime LARGEAUD: Master thesis (2018): Implementation and enhancement of high-order interpolation with Hermite and WENO schemes.
Nicolas GODINAUD: Master thesis (2018): Implementation of the Particle Level Set method for Notus CFD.
Florian DESMONS: Master thesis (2017): Understanding, modeling and simulation of the impact of a rain drop on a water wave
Guillaume DUMAS: Master thesis (2016): Modeling and simulation of the impact of a rain drop on a flat surface

Code architecture
Specific code development
- Interface advection with level set and front-tracking methods
- Explicit inertial term for the Navier-Stokes equation
- Continuum Surface Force for surface tension forces
- Closest-point method for curvature computation
- Finite difference schemes
- Interpolation and extrapolation with high-order schemes (Lagrange and WENO)
Verification and validation
- Surface tension
- Rayleigh-Taylor instabilies
- Bubble rise
- Water drop(s) fall and impact
Code documentation, specifications and concepts
Communication and promotion