Recherche

Caboussat Alexandre

Professeur HES associé

Compétences principales

Computational Fluid Dynamics (CFD)

Partial differential equations

Professeur HES associé

Téléphone: +41 22 558 50 45

Bureau: B 2.12

Haute école de gestion de Genève
Campus Battelle, Rue de la Tambourine 17, 1227 Carouge, CH

Domaine
Economie et services

Filière principale
International Business Management

BSc HES-SO en International Business Management - Haute école de gestion de Genève

Mathematics
Statistics

Cours Euler (http://www.euler.epfl.ch) - Ecole Polytechnique Fédérale de Lausanne, EPFL

Mathématiques

En cours

Shallow Laser Surface Melting (SLSM) for mould industry

Rôle: Co-requérant(s)

Description du projet :

Consulting mandate with industry.

Equipe de recherche au sein de la HES-SO: Caboussat Alexandre

Durée du projet: 12.05.2023

Statut: En cours

Terminés

Variational and adaptive methods for Monge-Ampère-type equations

AGP

Rôle: Requérant(e) principal(e)

Financement: HES-SO Rectorat; FNS - Fonds national suisse

Description du projet : Numerical methods for fully nonlinear equations are now gathering a lot of attention from computational scientists. Numerical techniques range from viscosity solutions based methods, higher order finite elements, finite differences, or variational approaches. The first application for the validation of all these methods is usually the prototypical Monge-Ampère equation. The starting point of this project is the numerical framework based on several variational approaches developed by the PI and co-authors based on least-squares or augmented Lagrangian methods. These variational methods are designed to be applied to some elliptic fully nonlinear equations, starting with the Monge-Ampère equation, but also for some Eikonal and prescribed Jacobian equations. This project will build on this framework to develop several new algorithms, together with the corresponding theoretical convergence investigations, mainly in two directions: 1) Extension of the variational approaches. Apply the framework to a large variety of first or second order fully nonlinear elliptic equations, including Pucci's, vectorial Eikonal equations, prescribed Jacobian equation, or the three-dimensional Monge-Ampère equation. Extend the methodology to the numerical approximation of the elliptic prescribed Jacobian inequalities, and to the evolutive parabolic Monge-Ampère equation. Study the mathematical convergence properties of the existing least-squares approach. 2) Design of adaptive finite element methods. In order to address non-smooth problems, tackle the design of adative and mesh refinement techniques of the finite element discretization in space of the Dirichlet problem for the Monge-Ampère equation in two dimensions of space. In that framework, those methods are related to adaptive methods for nonlinear Stokes problems and heuristics. Extend the analysis to Eikonal equations.

Equipe de recherche au sein de la HES-SO: Makhlouf Shabou Basma , Caboussat Alexandre

Partenaires académiques: 516,International Business Management

Durée du projet: 01.01.2017 - 31.12.2020

Montant global du projet: 394'554 CHF

Statut: Terminé

Geographic and socioeconomic data driven models, supporting the Swiss retail sector

Rôle: Requérant(e) principal(e)

Description du projet :

40316.1 INNO-ICT: Geographic and socioeconomic data driven models, supporting the Swiss retail sector

Equipe de recherche au sein de la HES-SO: Caboussat Alexandre

Partenaires professionnels: Quadrane SARL

Durée du projet: 01.11.2019 - 30.04.2020

Statut: Terminé

SIMSEDIM : Numerical simulation of sedimentation flows in hydraulic engineering

AGP

Rôle: Requérant(e) principal(e)

Description du projet : The project deals with the mathematical modelling and the numerical simulation of (non-cohesive) sediment transport in rivers and/or hydraulic engineering processes. The accurate modelling of sedimentation has a great impact on the behavior of free surface flows in rivers (modifications of the morphology of rivers) and in hydraulic processces (optimization of dam flush event for instance) The design of appropriate mathematical models and numerical methods for the simulation of sedimentation processes is indeed of great importance to understand the large-time behavior of free-surface rivers flows (modification of riverbed morphology) and to guide hydraulic engineers toward a sustainable river management (optimization of dam flush event for instance). From the industrial viewpoint, the flushing of dam retention lakes is crucial for an optimal exploitation of dams, and a longest lifetime of the installation. This project is at the crossroads between the microscopic modelling of non-cohesive sediments in rivers and the three-dimensional simulation of large-scale free-surface flows. The scientific expertise for the former is brought by the French team, who is specialized in physical modeling, theoretical fluid mechanics and mathematical physics ; on the other hand, the Swiss team is specialized in scientific computing and numerical simulation of large 3D physical and industrial processes. The collaboration between French and Swiss teams will thus be useful to couple these two approaches in a optimal and innovative way, as the two groups are very complementary. Moreover, when bringing people with different backgrounds, meeting in person is crucial ofr the initial progress of the project. This project is in the continuity of projects sponsored by the SNF on numerical simulation of impulse waves, and development of a multiphysics numerical algorithms and solvers (see Section 6 : Collaborations existantes for more details), and undertaken in parallel to an ANR proposal led by the French team oriented on the mathematical rheology of sediments flows. This part of the collaboration will focus on the scientific computing aspects of the simulation. The deliverable will be a module of a computer software (so-called cfsFlow, developed by EPFL and transferred to Ycoor systems SA, a spin-off of EPFL, via a technology transfer). Validation will be achieved through benchmark cases in dam break flows and rivers, at the laboratory and geophysical scales. Finally, the simulation of a flush event in a dam retention lake will be considered.

Equipe de recherche au sein de la HES-SO: Caboussat Alexandre

Partenaires académiques: 516,International Business Management

Durée du projet: 01.01.2016 - 31.12.2016

Statut: Terminé

Numerical Simulation of 3D impulse Waves

AGP

Rôle: Requérant(e) principal(e)

Financement: HES-SO Rectorat; EPFL

Description du projet : A numerical model for the simulation of 3D impulse waves will be developed. It will be used to simulate experiments performed at VAW-ETHZ within a collaboration between the two Institutes. The starting point is a numerical model already published by the main applicant with various co-authors, among them PhD students previously supported by the SNSF. This model has been used for the numerical simulation of free surface flows in various situations (bubbles, visco-elastic flows, Non-newtonian flows, etc). The model relies on a splitting of the physical phenomena, the diffusion and transport operators being decoupled. This project will focus on several aspects of the methods that have to be updated to consider impulse waves. In particular, the transport step in the numerical model will be completely redesigned. Indeed, adaptive techniques are required for impulse waves, as we will be considering very large computational domains that are restricted mainly by the computer memory. An octree representation of the computational domain will be used, which will allow a very precise - adaptive - tracking of the liquid-air free surface, with reduced memory requirements. This updated numerical model will be used to investigate impulse waves and reproduce experiments from VAW-ETHZ. Numerical results will also be compared to those obtained with other models.The final output is to be able to quantify risks triggered by the impact of falling solids in water reservoirs, such as dams or proglacial lakes, and the overflow of lakes resulting from such impacts.

Equipe de recherche au sein de la HES-SO: Caboussat Alexandre

Partenaires académiques: 516,International Business Management; Caboussat Alexandre, 516,International Business Management

Durée du projet: 01.10.2012 - 30.09.2015

Montant global du projet: 52'800 CHF

Statut: Terminé

2023

Numerical approximation of rigid maps in origami theory

Article scientifique ArODES

Alexandre Caboussat, Dimitrios Gourzoulidis

Communications in optimization theory, 2023, Vol. 2023, Article ID 8, 16 p.

Recherche

Caboussat Alexandre

Professeur HES associé

Compétences principales

scientific computing

Management science

Computational Fluid Dynamics (CFD)

Partial differential equations

Management of Innovation

Statistics

Professeur HES associé