Supervisor : Pierre Boivin
Scientific field: Mechanical Engineering, Computational Fluid Dynamics
Keywords: CFD, Lattice Boltzmann, Combustion, Multi-phase
The industry relies increasingly on numerical simulation for designing, improving, and even validating new combustion devices (engine, burner, furnace, etc.). Today, numerical combustion modelling relies almost exclusively on numerical codes solving the Navier-Stokes equations.
The Lattice Boltzmann solvers are very different from these codes, intending to solve a discrete variant of the Boltzmann equation. This type of flow solver is progressing rapidly, however, in turbulent flows configurations. The results obtained with Lattice Boltzmann methods (LBM) have shown to be excellent for aerodynamic applications, motivating intensive development of new methods.
Lattice Boltzmann methods applied to industrial applications are recent, however, so few models are able to deal with multiphase or reactive flows. In particular, LB models for multiphase flows exist, but are all limited to low velocity flows, and the gas phase is systematically considered athermal (to the author's knowledge).
Strong of recent successes at M2P2 in extending the method to compressible flows including high velocities and high density ratios, we believe considering a compressible gas phase in the LBM framework is attainable whilst keeping all the scalability and cost advantages of LBM. Attaining that objective is the topic of the present PhD proposal.
Research subject, work plan:
Extending the LBM capabilities to multi-phase requires a profound rethinking of existing methods developed within the Navier-Stokes framework.
First, a thermodynamic closure suitable for multiphase compressible flows  will be implemented. In a second step, phase transition will be implemented following . Target application include multi-phase flows in cryogenic engines cooling circuits as well as transient liquid oxygen feeding instabilities.
The PhD will be part of the largest research group on LBM in France (20-25 full-time investigators), and will work under the direction of P. Boivin, combustion specialist, in collaboration with P. Sagaut, a world-renowned scientist on turbulence modelling and LBM.
Funding agency: CNES.
How to apply:
Send an application to firstname.lastname@example.org including : Detailed CV & Cover letter
References on this topic:
 M. Tayyab, S. Zhao, Y. Feng, and P. Boivin, “Hybrid regularized lattice-boltzmann modelling of premixed and non-premixed combustion processes,” Combustion and Flame, vol. 211, pp. 173–184, 2020.
 Y. Feng, M. Tayyab, and P. Boivin, “A lattice-boltzmann model for low-mach reactive flows,” Combustion and Flame, vol. 196, pp. 249 – 254, 2018.
 Y. Feng, P. Boivin, J. Jacob, and P. Sagaut, “Hybrid recursive regularized thermal lattice boltzmann model for high subsonic compressible flows,” Journal of Computational Physics, vol. 394, pp. 82 – 99, 2019.
 P. Boivin, M. Cannac, and O. Le Métayer, “A thermodynamic closure for the simulation of multiphase reactive flows,” International Journal of Thermal Sciences, vol. 137, pp. 640–649, 2019.
 A. Chiapolino, P. Boivin, and R. Saurel, “A simple and fast phase transition relaxation solver for com- pressible multicomponent two-phase flows,” Computers & Fluids, vol. 150, pp. 31–45, 2017.