Lattice Boltzmann modelling for high-Mach, high Reynolds flows

Domain: Computational fluid dynamics, Aeronautics, Aerodynamics, Heat transfer

Project: Advanced Lattice-Boltzmann Understandings for Multiphysics 
Simulations (ALBUMS) funded by Airbus, Safran, Renault and the French National Research Agency (ANR)


Industries from the aerospace, aeronautic and automotive sectors are increasingly relying on numerical simulation tools. From the occasional use of a research and development department, these tools progressively made it to conception and production departments, where they help to continuously improve designs. The field of low-Mach external aerodynamics and aeroacoustics have been particularly impacted by the rapid development of Lattice-Boltzmann (LB) methods [1] in the last five to ten years. From industrial benchmarks [2–4], these methods quickly ramped up to full scale applications: full-scale cars [5, 6], full-scale aircraft engines [7] and even full-scale aircrafts [8, 9], oftentimes with outstanding results. 
Compressible flow modeling in the LB framework, however, remain relatively marginal within the scientific community: most Lattice-Boltzmann schemes are limited to low Mach number to to the intrinsic O(u3) numerical error. Overcoming this restriction is the main objective of the PhD.

Approach and work plan 

The PhD will mainly focus on the definition of an efficient LBM approach for compressible flows with shock-capturing capabilities based on the ideas and concepts presented in [10–12]. The main issues to be addressed are 
  1. the definition of a robust an accurate Lattice-Boltzmann model for thermal compressible flows for Mach numbers up to 2 with optimal reduction of the number of required discrete velocities to ensure numerical efficiency, 
  2. the development of a stabilization procedure able to capture shock waves while preserving the accuracy of the prediction of thin turbulent shear layers, 
  3. the extension of boundary conditions and non-conformal grid transition scheme to the newly proposed compressible scheme. 

Results obtained with the new LB model will be compared with reference solutions. 

Research team & thesis supervisors

The student will be part of the ALBUMS (Advanced Lattice-Boltzmann Understandings for Multiphysics Simulations) project at the M2P2 lab, in Marseille. Funding is assured by the national research agency (ANR), Airbus, Renault and Safran.
Supervision will be assured by P. Boivin, compressible flow specialist, and P. Sagaut, renowned scientist on turbulence modeling, LBM and ALBUMS Chair holder. 

Expected profile of the candidate 

The candidate will have a solid background in computational fluid dynamics and fluid mechanics. The numerical developments required in the PhD will involve team-working skills to interact frequently with other students working on the same numerical code, software engineers, associated industrials and supervisors. 

How to apply

Send an application to: and including:

- A detailed CV 

- A cover letter 


Starting date: September to December 2019


[1]  S. Chen, G. D. Doolen, Lattice boltzmann method for fluid flows, Annual review of fluid mechanics 30 (1) (1998) 329–364. 

[2]  S. Marié, D. Ricot, P. Sagaut, Comparison between lattice boltzmann method and navier– stokes high order schemes for computational aeroacoustics, Journal of Computational Physics 228 (4) (2009) 1056–1070. 

[3]  D. Casalino, A. F. Ribeiro, E. Fares, S. N ̈olting, Lattice–boltzmann aeroacoustic analysis of the lagoon landing-gear configuration, AIAA journal 52 (6) (2014) 1232–1248. 

[4]  A. Sengissen, J.-C. Giret, C. Coreixas, J.-F. Boussuge, Simulations of lagoon landing-gear noise using lattice boltzmann solver, in: 21st AIAA/CEAS Aeroacoustics Conference, 2015, p. 2993. 

[5]  A. D’Hooge, L. Rebbeck, R. Palin, Q. Murphy, J. Gargoloff, B. Duncan, Application of real- world wind conditions for assessing aerodynamic drag for on-road range prediction, Tech. rep., SAE Technical Paper (2015). 

[6]  M. E. Gleason, B. Duncan, J. Walter, A. Guzman, Y.-C. Cho, Comparison of computational simulation of automotive spinning wheel flow field with full width moving belt wind tunnel results, SAE International Journal of Passenger Cars-Mechanical Systems 8 (2015-01-1556) (2015) 275–293. 

[7]  D. Casalino, A. Hazir, A. Mann, Turbofan broadband noise prediction using the lattice boltz- mann method, AIAA Journal (2017) 1–20. 

[8]  M. R. Khorrami, E. Fares, B. Duda, A. Hazir, Computational evaluation of airframe noise reduction concepts at full scale, in: 22nd AIAA/CEAS Aeroacoustics Conference, 2016, p. 2711. 

[9]  M. R. Khorrami, E. Fares, Simulation-based airframe noise prediction of a full-scale, full aircraft, in: 22nd AIAA/CEAS aeroacoustics conference, 2016, p. 2706. 

[10]  Y. Feng, P. Sagaut, W. Tao, A three dimensional lattice model for thermal compressible flow on standard lattices, Journal of Computational Physics 303 (2015) 514–529. 

[11]  Y.-L. Feng, S.-L. Guo, W.-Q. Tao, P. Sagaut, Regularized thermal lattice boltzmann method for natural convection with large temperature differences, International Journal of Heat and Mass Transfer 125 (2018) 1379–1391. 

[12]  J. Jacob, O. Malaspinas, P. Sagaut, A new hybrid recursive regularised bhatnagar–gross– krook collision model for lattice boltzmann method-based large eddy simulation, Journal of Turbulence (2018) 1–26.