Presentation

The goal of this project is to provide a new state-of-the-art Numerical Methods and High Performance Computing (HPC) software for the numerical simulation of Bose-Einstein condensates (BEC). This is a timely objective, since BEC physicsis a very dynamic research field, with applications belonging to a future technological era. The project bridges a gap in this field, where modern, HPC numerical codes are nowadays absent. With the purpose to develop robust and reliable numerical simulators, based upon new mathematically sound methods and modern HPC strategies, this project has no worldwide equivalent and will strongly impact studies of BEC physics conducted in both mathematics and physics communities.

The project combines mathematical modelling, numerical analysis and simulation in a coherent workflow that brings together 20 (permanent) mathematicians from 4 partners. This includes a solid task-force made of 5 research engineers, who will use their important experience in HPC to support coding effort. The project will also take benefit from the strong interaction with external collaborators, who are expert physicists in BEC systems.

This participation ensures the mandatory critical mass required to take up the following challenges: (i) develop new high-order numerical methods with firm mathematical background; (ii) develop an integrated and resilient open-source HPC software that will materialize advances in numerical methods and algorithms for BEC simulation; (iii) apply these codes to numerically reproduce realistic physical configurations that are not possible to simulate with presently existing software. With regard to these objectives, the project fits the call of Numerical Models ANR program, action Basic Research in Modelling and Simulation of Complex Systems, with the purpose to "understand and predict" complex physical phenomena.

To cover all these challenging topics, the project is divided in 6 tasks with a total number of 26 subtasks. Each task involves at least two partners, and often three to four partners, to encourage exchanges and communication. Many of the subtasks are novelties in the BEC research field and some of the subtasks are highly challenging (e.g. modeling of stochastic effects, high order methods in HPC codes, simulation of experiments, etc). The team will be strengthened with 2 PhD students and 4 post-docs. Theoretical results will be disseminated through first rank publications, while developed HPC codes will be made available from a dedicated open-access Web-site. This will allow researchers to adapt the codes for their own purposes and thus maintain competition in this very dynamic field.

The project will also be a unique opportunity to set a new vivid community of research in the emerging field of the numerical simulation of BEC systems. In order to ensure the training of new researchers and the resilient character of the developed software, two workshops and a summer school will be organized in the framework of the project.

The members of the ANR Project Becasim belong to 10 differents laboratories

Institut Elie Cartan de Lorraine, UMR CNRS 7502
Laboratoire Paul Painlevé, UMR CNRS 8524
Laboratoire de Mathématiques Raphaël Salem, UMR CNRS 6085
Laboratoire Jacques-Louis Lions, UMR CNRS 7598
Centre de Mathématiques Appliquées, Ecole Polytechnique, UMR CNRS 7641
Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique, Ecole des Ponts ParisTech
LORIA, Inria-Nancy Grand-Est
Inria-Lille Nord-Europe
Institut de Mathématiques et de Modélisation de Montpellier, UMR CNRS 5149
Institut de Mathématiques de Toulouse, UMR CNRS 5219


Becasim Team: Coordinator of the project: I. Danaila

 

Partner 1. Rouen-Paris. Coordinator: I. Danaila


Name

First name

Position

Field of expertise

Laboratory/University

Danaila

Ionut

Professor

Numerical analysis Scientific Computing

Laboratoire de mathématiques Raphaël Salem, Université de Rouen

Hecht

Frédéric

Professor

Numerical analysis Scientific Computing

Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie

De Bouard

Anne

Senior (DR) CNRS

Analysis of stochastic PDEs. Numerical analysis.

CMAP, Ecole polytechnique

Cancès

Eric

Senior res. (DR)

Numerical analysis Scientific Computing

CERMICS, Ecole de Ponts ParisTech

Luddens

Francky

Associate professor

PDEs and Scientific Computing

Laboratoire de Mathématiques Raphaël Salem, Université de Rouen

Parnaudeau

Philippe

Research Engineer

HPC and Scientific Computing

Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie

Poncet

Romain

PHD candidate

Stochastic methods for GP equation

CMAP, École Polytechnique

Vergez

Guillaume

PHD candidate

Numerical analysis Scientific Computing

Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie


Partner 2. Université de Lorraine. Coordinator: X. Antoine


Name

First name

Position

Field of expertise

Laboratory/University

Antoine

Xavier

Professor

Numerical analysis Scientific Computing

Institut Elie Cartan de Lorraine (IECL), Université de Lorraine-Nancy

Lévy

Bruno

Senior (DR) INRIA

Adaptive meshing and HPC visualization

LORIA, Inria-Nancy Grand-Est

Bunoiu

Renata

Associate

Professor

PDEs mathematical analysis

Institut Elie Cartan de Lorraine (IECL), Université de Lorraine-Metz

Marty

Renaud

Associate

Professor

Analysis of stochastic PDEs and num. approx

Institut Elie Cartan de Lorraine (IECL), Université de Lorraine-Nancy

Sac-Epée

Jean-Marc

Research Engineer

HPC and Scientific Computing

Institut Elie Cartan de Lorraine (IECL), Université de Lorraine-Metz


Partner 3. Université de Lille. Coordinator: I. Lacroix-Violet


Name

First name

Position

Field of expertise

Laboratory/University

Lacroix-Violet

Ingrid

Associate

Professor

PDEs mathematical analysis

Laboratoire Paul Painlevé, Université Lille 1

Dujardin

Guillaume

Junior(CR) INRIA

Numerical analysis Scientific Computing

INRIA Lille Nord-Europe, Laboratoire Paul Painlevé

Mouton

Alexandre

Research Engineer

HPC and Scientific Computing

Laboratoire Paul Painlevé, Université Lille 1


Partner 4. Université de Montpellier. Coordinator: R. Carles


Name

First name

Position

Field of expertise

Laboratory/University

Carles

Rémi

Senior (DR) CNRS

PDEs mathematical analysis

I3M, Université Montpellier 2

Gallo

Clément

Associate

Professor

PDEs mathematical analysis

I3M, Université Montpellier 2

Lleras

Vanessa

Associate

Professor

Numerical analysis Scientific Computing

I3M, Université Montpellier 2

Marche

Fabien

Associate

Professor

Numerical analysis Scientific Computing

I3M, Université Montpellier 2

Nicoud

Sophie

Research Engineer

HPC and Scientific Computing

I3M, Université Montpellier 2


Partner 5. Université de Toulouse. Coordinator: C. Besse


Name

First name

Position

Field of expertise

Laboratory/University

Besse

Christophe

Professor

Numerical analysis Scientific Computing

IMT, Université de Toulouse 3

Negulescu

Claudia

Professor

Numerical analysis Scientific Computing

IMT, Université de Toulouse 3

Duboscq

Romain

Associate

professor

Numerical methods for deterministic and stochastic GP equations

IMT, Université de Toulouse 3


Tasks assignment