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
Institut de Mathématiques et de Modélisation de Montpellier, UMR CNRS 5149
Institut de Mathématiques de Toulouse, UMR CNRS 5219