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PhD Defense : Thomas LAFARGE :” Lattice Boltzmann method for multiphase flows”

  Thursday 23 June 2022 at 15h30

  Phd Thesis       Conference room, CERFACS, Toulouse, France    


You tube link : https://youtu.be/E9aSeMW1QgM

Abstract :

This PhD study intends to evaluate Lattice Boltzmann Methods (LBM) applied to multiphase flows. First, a general review of statistical physics for Lattice Boltzmann Methods is conducted, as well as a particular review of LBM methods for two-phase flows. General principals are presented, and the Color Gradient, Pseudo-Potential, Free Energy and HCZ, are successively presented. Lattice Boltzmann Methods advanced notions are then introduced, in particular, a Taylor expansion allowing to determine Lattice Boltzmann schemes equivalent macroscopic equation is described.

A Color Gradient method theoretical study is then proposed. First, an original reformulation of the algorithm allowing to improve the computational efficiency is proposed. The Taylor expansion method then allows to determine the high order errors induced by the numerical scheme. This underlines the relationships between the degree of isotropy of LBM operators and the numerical scheme stability. In particular, a numerical isotropic operator allowing to introduce an equation of state is proposed. This operator efficiency is illustrated on academical test cases. The Taylor expansion method is also applied to demonstrate that the Color Gradient Method allows to solve an Allen-Cahn phase field equation. This Allen-Cahn equation allows a perfect control of the diffuse interface thickness. This theoretical result is then validated numerically. Finally, an original improved version of the Gradient Color Method is proposed. In this formulation, our isotropic Equation of State operator is used, and an original temporal correction term is proposed. This temporal correction improves the scheme numerical stability and allows to expands the method application range to higher density ratios. Finally, this method is validated through academical testcases.


François Dubois, Laboratoire de mathématiques d'Orsay – Referee

Florian de Vuyst, Université de Technologie de Compiègne – Referee

Umberto d'Ortona, M2P2 –  Member

Rémi Abgrall, University of Zurich –  Member

Bénédicte Cuenot, CERFACS – Director

Pierre Boivin, M2P2 –  co-director

Nicolas Odier, CERFACS –  co-advisor

Stefano Puggeli, SafranTech – co-advisor






Multi-architecture parallelism using Kokkos/C++ library

From Monday 11 December 2023 at 14h00 to Wednesday 13 December 2023 at 17h00






PhD Defense : Aurélien LINÉ : ” Modulation of European near-term climate change by multi-decadal internal variability “

Thursday 21 December 2023 at 15h00

  CERFACS - Toulouse - France     Organized by Nathalie BROUSSET    





Introduction to programming practices for scientific computing

Monday 18 March 2024