Princeton/Hydro, MHD, Astro - Département de Physique de l'Ecole Normale supérieure

Why choose this program? Program, courses and calendar Master ICFP 1st year (2023-2024) 2023-2024 Calendar and timetable Courses Internships Program, courses and calendar Master ICFP 1st year (2022-2023) 2022-2023 Calendar and timetable Courses Internships Program, courses and calendar Master ICFP 2nd year 2023-2024 First Semester Second Semester "Physics Now" Seminars 2019/2020 "Physics Now" Seminars 2020/2021 "Physics Now" Seminars 2021/2022 "Physics Now" Seminars 2023/2024 "Physics Now" Seminars 2022/2023 Internships 2023 2024 calendar Program, courses and calendar Master ICFP 2nd year 2022-2023 First Semester Second Semester "Physics Now" Seminars 2019/2020 "Physics Now" Seminars 2020/2021 "Physics Now" Seminars 2021/2022 "Physics Now" Seminars 2022/2023 Internships 2022 2023 calendar Admission and Language Requirements How to apply Information for students Information for International Students Fees and Scholarships Careers Master Intranet Archives Erreur ( A supprimer) Program, courses and calendar Master ICFP 1st year (2021-2022) Program, courses and calendar Master ICFP 1st year (2021-2022) Program, courses and calendar Master ICFP 2nd year 2021-2022 Program, courses and calendar Master ICFP 2nd year 2020-2021 Program, courses and calendar Master ICFP 2nd year 2019-2020 Archives 2015-2016 Archives 2016-2017 Archives 2017-2018 Archives 2018-2019 Archives 2019-2020 Archives 2020-2021

Princeton/Hydro, MHD, Astro

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Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Responsable : Daniel LECOANET, Princeton University, Center for Theoretical Science and Department of Astrophysical Sciences
lecoanet@princeton.edu
http://www.princeton.edu/~lecoanet/index.html

Project 1: Nonlinear optimization and large deviation theory in pattern formation & fluid dynamics

Nonlinear optimization techniques have recently been applied in fluid dynamics to understand the subcritical transition to turbulence in several parallel shear flow configurations. The adjoint method has been used to find the lowest energy single perturbation which can lead to turbulence. The goal of this project is to develop and use similar techniques to find the optimal time-dependent perturbation in a simplified pattern formation system, the Swift-Hohenberg equation. This time-dependent perturbation is the so-called ``instanton’’ of large deviation theory, and is the most likely path to transition between equilibrium states under low amplitude noise. We will use the open-source, pseudo-spectral code Dedalus to simulate the Swift-Hohenberg equation, which exhibits many localized equilibria, and study the transitions between these states. This includes calculating the equilibria, the optimal single perturbations between them, as well as the instantons connecting these states. The optimization techniques developed for the Swift-Hohenberg equation will then be applied to study the evolution of 2D vortex systems.

Project 2: Testing the mean-field electrodynamic theory of large-scale dynamos

Three dimensional simulations of the magneto-rotational instability in large domains show the organization of small-scale magnetic field into coherent large-scale fields which undergo quasi-regular reversals. One possible explanation of this phenomenon is given by mean-field electrodynamics, in which the correlation of small-scale velocities and magnetic fields are parameterized based on their influence on large-scale fields. However, this theory relies on a scale separation between small and large scales which is seldom realized in systems of interest. The goal of this project is to calculate the small-scale correlations directly from three dimensional simulations of the magneto-rotational instability, and then use these to simulate the simpler equations of mean-field electrodynamics in Dedalus, an open-source pseudo-spectral code. These calculations will test the various assumptions of the mean-field electrodynamics framework, and identify which correlation terms are important to explain the emergence and evolution of the large scale magnetic field.

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr