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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.

Jury:

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

CALENDAR

Monday

27

May

2024

🎓 PhD Defense: Thibault GIOUD

Monday 27 May 2024From 14h00 at 18h00

  Phd Thesis       Cerfacs, Toulouse, France    

Thursday

30

May

2024

Young PhD day (JDD2024@Cerfacs) – 30/05/2024

Thursday 30 May 2024From 9h00 at 17h00

  Journée des Doctorants       CERFACS     

Monday

03

June

2024

High fidelity simulations of Turbomachinery flows

From Monday 3 June 2024 to Wednesday 5 June 2024

  Training    

ALL EVENTS