Ionut DANAILA : Professor

Laboratoire de mathématiques Raphaël Salem
Université de Rouen Normandie, CNRS UMR 6085
Avenue de l'Université, BP.12
Technopôle du Madrillet
76801 Saint-Étienne-du-Rouvray
FRANCE

Phone +33 (0)2 32 95 52 50
E-mail : ionut.danaila AT univ-rouen.fr

puceCV in English (pdf)       puce CV en français (pdf)

puce Full list of publications (pdf)

What's new and quick links

(last partial update October, 2024)

Please also check the webpage of our Scientific Computing Group at LMRS
and the page of the QUTE-HPC ANR project

(May, 2023)   The second edition of our book was published: 

I. Danaila, P. Joly, S.M. Kaber, M. Postel:

An Introduction to Scientific Computing. Fifteen  computational projects solved with Matlab,   Springer, New York, 2023..

Link to the git repository with Matlab scripts (solutions).

Cover image: Vortex interactions (solving the Navier-Stokes equations, see Project 15 in the book).

The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicing engineers.

The second edition builds upon its earlier material (revised and updated) with three all-new chapters intended to reinforce the presentation of mathematical aspects on numerical methods: Fourier approximation, high-order finite difference methods, and basic tools for numerical optimization. Corresponding new applications and programs concern spectral Fourier methods to solve ordinary differential equations, finite difference methods up to sixth-order to solve boundary value problems and, finally, optimization strategies to fit parameters of an epidemiological model.

(January, 2023)   A very new book:  (World Scientific flyer)

(Editors) Weizhu Bao (National University of Singapore), Yongyong Cai (Beijing Normal University), Ionut Danaila, Peter Markowich (King Abdullah University of Science and Technology).

Models and Methods for Quantum Condensation and Fluid,  World Scientific, 2023.

Cover image: I. Danaila, Quantized vortices in a rotating system with three Bose-Einstein condensates.

... This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose–Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.
This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.


(January, 2022)   I am very happy and honoured to head a new IEA CNRS (International Emerging Actions) France-Japan (January 2022 - December 2023): MPM2S Mathematical and Physical Models for Superfluids and Superconductors.
Participants:
Rouen : Ionut Danaila, V. Kalt, C. Tain (LMRS, URN), Luminita Danaila (M2C, URN), J.-G. Caputo (LMI, INSA).
Paris: M. Brachet (ENS).
Sendai: R. Fukuizumi.
Kochi: M. Kobayashi.
Kyoto: T. Sakajo.

 

(April, 2021)   A very new book:  (Springer flyer)

I. Danaila, F. Kaplanski, S. S. Sazhin

Vortex Ring Models,  Springer, 2021.

This book offers a guide to understanding models of vortex rings, starting from classical ones (circular vortex filament, Hill and Norbury-Fraenkel inviscid models) to very recent models incorporating viscous effects and realistic shapes of the vortex core. Unconfined and confined viscous vortex rings are described by closed formulae for vorticity, stream function, translational velocity, energy, impulse and circulation. Models are applied to predict the formation number of optimal vortex rings and to describe two-phase vortex ring-like structures generated in internal combustion engines. The book provides a detailed presentation of analytical developments of models, backed up by illustrations and systematic comparisons with results of direct numerical simulations. The book is useful for graduate students in applied mathematics, engineering and physical sciences. It is a useful reference for researchers and practising engineers interested in modelling flows with vortex rings.


(January, 2020)   New FreeFem++ toolboxes for the 2D/3D simulation of liquid-solid phase-change systems are available with our publications. See the following dedicated web pages with codes, pictures and movies:

toolbox PCM-Toolbox-2D (for 2D sequential simulations),

toolboxes PCM_Toolbox_DDM_2D and PCM_Toolbox_DDM_3D (for 2D or 3D parallel simulations).

 


(January, 2019)   I am very happy and honoured to head a new ANR project (January 2019 - December 2022): QUTE-HPC QUantum Turbulence Exploration by High-Performance Computing. We are a very enthusiastic group, with partners from University of Rouen Normandy, INSA Rouen, ENS Paris, University of Poitiers, Ecole Centrale Lyon, Institut Néel Grenoble.

Short description of the project.  

Website of the project.  

 

(22/04/2019 - 28/04/2019)   I will organize, together with Yongyong Cai (Beijing) and Yvon Maday (UPMC, Paris) a workshop at the Fields Institute (Toronto), entitled Scientific Computing Across Scales: Quantum Systems in Cold-matter Physics and Chemistry,   (April 22-26, 2019).

Website of the workshop.  

There is another event as part of this series in the previous week dealing with Extreme Events and Criticality in Fluid Mechanics.

These events are part of a retrospective on the 2016 Fields Thematic Program on Multiscale Scientific Computing (January-April, 2016)](see below), that I organized together with Bartek Protas (McMaster)  -- see links below --

 

(July 5-9, 2018)   We organized, with W. Bao (NU Singapore), the Special Session 77 Advances in Mathematical Modelling and Numerical Simulation of Superfluids at the The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 5 - July 9, 2018, Taipei, Taiwan

Slides of the talks  

 

(August 29 - September 2, 2017)   With W. Bao (NU Singapore) and a very enthusiastic local committee, we organized, with the support of
Becasim project,
Laboratoire de mathématiques Raphaël Salem (LMRS),
and Université de Rouen Normandie
the Workshop Advances in Mathematical Modelling and Numerical Simulation of Superfluids

Slides of the talks and pictures    Slides    Pictures

 

(June 27 - July 1, 2016)   With W. Bao (NU Singapore) and R. Carles (Montpellier) and all the Becasim group we organized the Workshop New Challenges in Mathematical Modelling and Numerical Simulation of Superfluids at the Centre International de Rencontres Mathématiques (CIRM)

Slides and some video of the talks   Slides    Videos

 

(March 7 - 18, 2016)   With F. Hecht (UPMC) we tought a Graduate Course: An introduction to scientific computing using free software FreeFem++ at the Fields Institute (University of Toronto)

Description of the course

Slides and programs of the course   Directory    ZIP archive

 

(01/01/2016 - 30/04/2016)   Bartosz PROTAS (McMaster) and myself are the lead organizers of a thematic program at Fields Institute: entitled Multiscale Scientific Computing: From Quantum Physics and Chemistry to Material Science and Fluid Mechanics

Themes and Workshops (videos online):

Advanced Computing and Theoretical Fluid Mechanics, (January 25-29, 2016)

Computation Of Quantum Systems In Cold-matter Physics And Chemistry, (February 22-26, 2016)

Multiscale Modeling And Its Applications: From Weather And Climate Models To Models Of Materials Defects, (April 25-29, 2016)

Slides and video of the talks.

 

(October, 2015)   We have started a new PEPS-AMIES research project, supported by AMIES (Agency for Mathematics Interactions with Industry and Society).
The project concerns Mathematical and numerical models for phase-change materials used in industry

Our industrial partners in this project are Orange and AREELIS.

Duration of the project: November 2015 - October 2016.

 

(October, 2015)   We will participate to a new research project called M2NUM, supported by Région Haute-Normandie. Our theme in the project concerns Mathematical and numerical models for phase-change materials.

We are 10 researchers in this theme aimed at performing realistic simulations of phase-change materials based on mathematically sound models.

Duration of the project: October 2015 - September 2018.

 

(January, 2013)   We have started a brand new ANR project ("Numerical models" call) called BECASIM
Bose-Einstein Condensates: Advanced SIMulation Deterministic and Stochastic Computational Models, HPC Implementation, Simulation of Experiments

We are 25 enthusiastic applied mathematicians in this project aimed at performing realistic simulations of BEC in close interaction with physicists - for more details, see the dedicated web page BECASIM

Duration of the project: January 2013 - December 2016.

 

(November, 2012)   We have started a new Working Group called "Interfaces of Mathematics" (GTIM) aimed at promoting the collaborations between mathematiciens and scientists from other research fields (physics, mechanics, biology, etc) or from industry.

Nous avons lancé au LMRS un nouveau Groupe de travail, intitulé Interfaces des Mathematiques (GTIM), qui a comme objectif de mettre en contact les mathématiciens du LMRS avec d'autres communautés scientifiques et d'identifier des sujets de recherche d'intérêt commun. Pour plus de détails sur les activités du groupe de travail, voir la page du GTIM.

 

(September, 2011)   Contribution in the volume European Success Stories in Industrial Mathematics.   

(September, 2011)   Two new preprints:   

 

(December, 2010)   Article de vulgarisation dans  Textes et documents pour la classe, numéro spécial sur l'Informatique.   

Un exemple de modélisation : le condensat de Bose-Einstein

(December, 2009)   Poster présenté à Maths à venir 2009  

(les films présentés pendant l'exposition A quoi servent les Maths seront disponibles bientôt  : un bref aperçu pour l'instant)

 

(January, 2009) I defended my  HDR (Habilitation à diriger des recherches) on the  4th of December 2008:

Tourbillons en fluides et superfluides : une exploration numérique

Vortices in fluids and superfluides : a numerical exploration

(July, 2007)   New nice images  

(December, 2006)   A very new book (in English):  (download Matlab scripts)

I. Danaila, P. Joly, S.M. Kaber, M. Postel:

An Introduction to Scientific Computing. Twelve  computational projects solved with Matlab.

 Springer, 2007.

 
(February, 2005)   A new book (in French):  (download Matlab scripts)

I. Danaila, P. Joly, S.M. Kaber, M. Postel:

Introduction au calcul scientifique par la pratique : 12 projets résolus avec Matlab,

Dunod, 2005.

 
(May, 2004)  New in Gallery : Simulations of  vortex-dipoles interacting with obstacles 
(more pictures in the Gallery)

I. Danaila:  Vortex dipoles impinging on finite aspect ratio rectangular obstacles, Flow, Turbulence and Combustion, 72, p. 391  (2004)

 
(January, 2004)  New in Gallery: Simulations of Bose-Einstein condensates 
(more pictures in the Gallery)

A. Aftalion, I. Danaila:  Giant vortices in combined harmonic and quartic traps, Phys. Rev A, 69, p. 033608 (2004); Three-dimensional vortex configurations in a rotating Bose Einstein  condensate, Phys. Rev A, 68, p. 023603 (2003)

 
(January, 2003)   A new book (in French):  (download C++ programs)

I. Danaila, F. Hecht, O. Pironneau: Simulation numérique en C++, Dunod, 2003.

(Numerical Simulation in C++)

(2000)  Simulations of bifurcating jets 
(more pictures in the Gallery)

I. Danaila, B. J. Boersma: Direct numerical simulation of bifurcating jets, Physics of Fluids, Volume 12, Issue 5, pp. 1255-1257 (2000)

(< 2000)  My PhD work on Round jet instabilities
(more pictures in the Gallery)

I. Danaila, J. Dusek, F. Anselmet:  Complex dynamics at a Hopf bifurcation with axisymmetry breaking in a fluid jet, Phys. Rev. E, 57, p. 3695, (1998);
Coherent structures in a round, spatially evolving, unforced, homogeneous jet at low Reynolds numbers, Physics of Fluids, 9, p. 3323, (1997).