Dr. Mathieu Coquerelle

Mathieu Coquerelle Mathieu COQUERELLE
16, av. Pey-Berland
33607 Pessac CEDEX
+33 5 40 00 66 89


  • 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:
  • 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 ENSIMAG and Université Joseph Fourier

Research interests


  • Ocean waves damping by rain drops
  • Surface tension and contact line dynamic


  • Incompressible Navier-Stokes equations
  • Multiphase flow, surface tension, contact line
  • Interfaces (reconstruction, transport, phase change, etc.)


  • Level set methods
  • Closest point methods
  • Coupled Eulerian-Lagrangian methods
  • Interpolation and high-order schemes
  • High Performance Computing


Project skills

  • Teamproject and budget management
  • Partnerships and negociation
  • Communication

Scientific skills

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

Computing skills

  • Programming languages: Fortran 2008, C++, C, Bash, MPI
  • Scientific software: Notus, Fluent, VisIt, Tecplot
  • Operating systems: GNU/Linux (Gentoo, Arch Linux, Debian, Ubuntu), Windows
  • Software programming: architecture, V&V


Ph.D. students

  • 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)

Internship tutoring

  • 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

Involvement in Notus CFD

  • 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


Impact of multiple rain drops on a water surface

Close-up of the impact of a drop on the water surface

The Closest-Point algorithm