Ecoulements complexes et polyphasiques : Fiche UE : Offre de formation

Nombre de crédits : 2 ECTS

Code Apogée : I5013ME

Contient des enseignements proposés en anglais et des documents totalement disponibles en anglais

Responsabilité de l'UE :

TRONTIN PIERRE

pierre.trontinuniv-lyon1.fr

Type d'enseignement

Nb heures *

Cours Magistraux (CM)

30 h

Durée de projet en autonomie (PRJ)

12 h

Activité tuteurée personnelle (étudiant)

12 h

Activité tuteurée encadrée (enseignant)

12 h

Heures de Tutorat étudiant

0 h

* Ces horaires sont donnés à titre indicatif.

Pré-requis et objectifs :

Prerequisites: Multivariable calculus, integration of functions, differential equations, vector calculus, incompressible flows, and the Navier–Stokes equations.

Objectives: This course aims to establish the governing equations for two-phase flows in the presence of an interface, and to describe and implement numerical methods specifically designed to solve these equations.

Acquis intermédiaires d’apprentissage et compétences visés :

Skills	Level	Critical Learning Outcomes
C1. Develop advanced numerical tools in the field of mechanics	N1. Develop basic numerical tools	Identify and select numerical tools and scientific computing methods suited to solving a simple mechanical problem.
		Master the fundamentals of programming and algorithm design.
		Use the selected numerical tools independently.
		Validate the numerical tools developed using benchmark problems.
		Analyze computational results to verify their scientific validity and consistency with the laws of physics.
	N2. Develop advanced numerical tools	Develop a numerical strategy suited to solving mechanical problems.
		Analyze the results of a numerical computation and draw relevant scientific and technical conclusions.
	N3. Solve realistic numerical problems	Develop and implement an appropriate and efficient numerical strategy to solve complex mechanical problems.
		Optimize computational codes and numerical models to solve mechanical problems efficiently.
C2. Model physical phenomena in a mechanical system	N1. Analyze physical phenomena	Apply a scientific approach to problem-solving.
		Process and analyze data, and draw scientific conclusions.
	N2. Model fundamental physical phenomena	Select the appropriate equations to model the mechanical problem to be solved.
		Understand and analyze partial differential equations (PDEs) and the underlying assumptions used to model problems in solid mechanics, fluid mechanics, and structural mechanics.
		Master the theoretical fundamentals of analytical methods for solving simple differential equations.
		Use and/or develop appropriate numerical simulation tools to solve the mathematical model (see Competency C1).
		Process, analyze, and interpret data obtained from scientific models.
	N3. Model advanced physical phenomena	Develop tools for modeling advanced physical systems.

Programme de l'UE / Thématiques abordées :

Governing equations for two-phase flows.
Local instantaneous formulation.
Jump conditions at interfaces.
Two-fluid formulation.
One-fluid formulation.
Numerical methods for incompressible two-phase flows with interfaces.
Lagrangian and Eulerian interface-tracking methods (level-set, VOF).

Méthodes d’évaluation :

2 written exams: 60% of the final grade.
2 numerical simulation reports: 40% of the final grade.

Parcours / Spécialité / Filière / Option utilisant cette UE :

DI mention : Mécanique : Mécanique

Date de la dernière mise-à-jour : 23/10/2026