CR CNRS
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Welcome
to my website! I prepared my PhD at CMLA, ENS Cachan. My advisor was Frédéric Dias. The title of thesis is "Mathematical modelling of tsunami waves". At the present time I'm working at LAMA, University of Savoie as a researcher of CNRS.
I hope you will find some useful information here. |
- Notre équipe propose des stages du niveau M1, M2 sur la mécanique des fluides, calcul scientifique avec des applications concrètes. N'hésitez pas à prendre le contact avec nous!
- "Le Prix La Recherche", nomination "Environment" put forward by Veolia Environmental Services (water management, energy management). Research: "Extreme waves: from Physics to effective forecasting". The ceremony to be held at Sénat (Palais de Luxembourg) on November, 27, 2007, Paris
- "Best Student
Paper Award" at "The
Fifth IMACS International Conference on Nonlinear Evolution
Equations and Wave Phenomena: Computation and Theory",
Athens, GA, USA, April 16-19, 2007
Photos from ceremony "Le Prix La Recherche", Sénat, 27 November 2007
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16/02/2010: We are going to organize from 17 to 21 May 2010 a session at Wolfgang Pauli Institute (Vienna) devoted to two-phase and compressible flows. If you would like to participate, please, take a contact with me. This event will be in the spirit of previous September meeting in Vienna.
16/02/2010: During last days we submitted a couple of new papers. The first one describes our code VOLNA for tsunami wave modelling: "The VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation". The second paper is more theoretical and deals with application of variational principles to water wave modelling: "Practical use of variational principles for modeling water waves".
28/09/2009: Some photos and talks from our session "Numerical methods for complex fluid flows" at Wolfgang Pauli Institute (Vienna) are available online.
15/09/2009: From 21 to 25 September 2009 we organize a session at Wolfgang Pauli Institute (Vienna) entitled "Numerical methods for complex fluid flows".
30/03/2009: Magazine "La Recherche" (N429, April 2009) published an article about our recent results on mathematical modelling of powder snow avalanches. The preprint of our work can be found here.
18/02/2009: My interview on general strike of universities in France was published in a russion journal Gaudeamus based at Saint-Petersburg. It is in russian, of course...
19/01/2009: Finally we finished and submitted our first article on powder-snow avalanches entitled "Numerical simulation of powder-snow avalanche interaction with an obstacle" to Applied Mathematical Modelling
01/12/2008: I am going to deliver a talk on numerical modelling of tsunami waves at the workshop "Oceanography and mathematics", Ecole Normale Supérieure de Paris, 26 - 28 January 2009
22/10/2008: Our paper "Energy of tsunami waves generated by bottom motion" was accepted to Proceedings of the Royal Society A.
26/06/2008: An article about our recent results on sediments appeared in New Scientist!
- Fluid mechanics
- long waves modelling
- free surface flows and water waves
- compressible and incompressible two phase flows
- Solid mechanics
- dislocations theory and their dynamics
- seismological sources
- Numerical methods and scientific computing
- finite volumes
- finite elements
International Journals
- D. Clamond, D. Dutykh. Practical use of variational principles for modeling water waves. Submitted to J. Fluid Mech., 2010
- D. Dutykh, R. Poncet, F. Dias. The VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation. Submitted to European Journal of Mechanics B/Fluids, 2010
- Y. Meyapin, D. Dutykh, M. Gisclon. Velocity and energy relaxation in two-phase flows. Accepted to Studies in Applied Mathematics, 2010
- D. Dutykh, D. Mitsotakis. On the relevance of the dam break problem in the context of nonlinear shallow water equations. Discrete and Continuous Dynamical Systems, 3(2), 2010
- D. Dutykh, C. Acary-Robert, D. Bresch. Numerical simulation of powder-snow avalanche interaction with an obstacle. Submitted, 2009
- D. Dutykh. Group and phase velocities in the free-surface visco-potential flow: new kind of boundary layer induced instability, Physics Letters A, 373, 3212 - 3216, 2009
- D. Dutykh, F. Dias. Energy of tsunami waves generated by bottom motion. Proc. R. Soc. A (2009) 465, 725-744
- D. Dutykh, F. Dias. Influence of sedimentary layering on tsunami generation, Computer Methods in Applied Mechanics and Engineering, 199, 1268 - 1275, 2010
- F. Dias, D. Dutykh, J.-M. Ghidaglia. A two-fluid model for violent aerated flows. Computers and Fluids. 39(2), 283-293, 2010
- D. Dutykh. Visco-potential free-surface flows and long wave modelling. European Journal of Mechanics B/Fluids, 28(3), 430-443, 2009
- D. Dutykh, F. Dias. Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting, MATHEMATICS AND COMPUTERS IN SIMULATION, 80(4), 837 - 848, 2009
- D. Dutykh, F. Dias. Viscous potential free-surface flows in a fluid layer of finite depth, C. R. Acad. Sci. Paris, Ser. I, 345 (2007), 113-118
- D. Dutykh, F. Dias. Dissipative Boussinesq equations, C. R. Mécanique, 335 (2007), 559-583. Special issue dedicated to J. V. Boussinesq
- Y. Kervella, D. Dutykh, F. Dias. Comparison between three-dimensional linear and nonlinear tsunami generation models, Theor. Comput. Fluid Dyn. (2007) 21:245-269
- D. Dutykh, F. Dias, Water waves generated by a moving bottom. In book: "Tsunami and Nonlinear Waves", Kundu, Anjan (Editor), Springer Verlag 2007, Approx. 325 p., 170 illus., Hardcover, ISBN: 978-3-540-71255-8
- D. Dutykh, F. Dias, Y. Kervella. Linear theory of wave generation by a moving bottom, C. R. Acad. Sci. Paris, Ser. I 343 (2006) 499-504
- Y. Meyapin, D. Dutykh, M. Gisclon. Two-fluid barotropic models for powder-snow avalanche flows. Proceedings of "The Fourth Russian-German Advanced Research Workshop on Computational Science and High Performance Computing" in Springer series "Notes on Numerical Fluid Mechanics and Multidisciplinary Design", 2009
- D. Dutykh, F. Dias. How does sedimentary layering affect the generation of tsunamis? Submitted to Proceedings of OMAE 2009, 28th International Conference on Ocean, Offshore and Arctic Engineering, May 31-June 5, 2009, Honolulu, USA
- D. Dutykh. Visco potential free-surface flows. XXII ICTAM, 25 - 29 August 2008, Adelaide, Australia
- F. Dias, D. Dutykh and J.-M. Ghidaglia. Simulation of Free Surface Compressible Flows Via a Two Fluid Model. OMAE 2008, Nick Newman Symposium on Marine Hydrodynamics. Estoril, Portugal, 15-20 June 2008
- F. Dias, D. Dutykh. Dynamics of tsunami waves. In Book: "Extreme Man-Made and Natural Hazards in Dynamics of Structures'', NATO Advanced Research Workshop, Opatija, Croatia, May 28 - June 1, pp. 35-60, 2007
- D. Dutykh, F. Dias. Tsunami wave energy. 4th Canadian Conference on Geohazards, Université Laval, May 20-24, 7 p., 2008
- D. Dutykh, F. Dias. Fault Dynamics and Tsunami Generation. ECCOMAS Thematic Conference on Multi-scale Computational Methods for Solids and Fluids. A. Ibrahimbegovic, F. Dias, H. Matthies, P.Wriggers (eds.), 79-81, 2007
- C. Kassiotis, F. Dias, A. Ibrahimbegovic and D. Dutykh. A partitioned approach to model tsunami impact on coastal protections. ECCOMAS Thematic Conference on Multi-scale Computational Methods for Solids and Fluids. A. Ibrahimbegovic, F. Dias, H. Matthies, P. Wriggers (eds.), 134-139, 2007
- D. Dutykh. Visco-potential free-surface flows. Research report of CMLA, 2008
- F. Dias, D. Dutykh and J.-M. Ghidaglia. A compressible two-fluid model for the finite volume simulation of violent aerated flows. Analytical properties and numerical results. Research report of CMLA, 2008
- D. Dutykh. "Mathematical modelling of tsunami waves", PhD thesis, CMLA, ENS de Cachan, 2007. Supervisor: Frédéric Dias (presentation slides)
- D. Dutykh. "Moving load on a floating ice layer", Master 2 MN2MC thesis, CMLA, ENS de Cachan, 2005. Supervisor: Frédéric Dias
- D. Dutykh. "Harmonic oscillations of an inhomogeneous elastic layer", Master thesis, Faculty of Applied Mathematics, Dnepropetrovsk National University, Ukraine. Supervisor Vladimir Lamzyuk
- Simuler une avalanche. La Recherche N428 - Avril 2009
- Springy sediments may amplify tsunamis. Issue 2662 of New Scientist magazine, 25 June 2008, page 20
- D. Dutykh. Comment naît un tsunami?, Le Mensuel de l'Université, No 23, Février 2008
- M. S. Howe. "Hydrodynamics and sound", 2007. EUROPEAN JOURNAL OF MECHANICS - B/FLUIDS, vol. 27, no. 2, p. 218. 2008
Reviewer
activities
Journals:- Communications on Pure and Applied Analysis
- COMPTES RENDUS MECANIQUE
- EUROPEAN JOURNAL OF MECHANICS - B/FLUIDS
- Mathematics and Computers in Simulation
- Numerische Mathematik
- OCEAN MODELLING
- SIAM Journal on Applied Mathematics (SIAP)
- WAVE MOTION
Conferences: Grants:
- "A generalized variational principle for water wave modeling", 11 December 2009, Hydrodynamique des lacs et approximation de Saint-Venant, Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie (Paris 6), Paris, France
- "Mathematical modelling of tsunami wave generation", 12 November 2009, Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie (Paris 6), Paris, France
- "Powder-snow avalanche flow modelling", 12 - 16 October 2009, 4th Russian-German Advanced Research Workshop, Freiburg, Germany
- "Tsunami wave energy", 22 September 2009, Session "Numerical methods for complex fluid flows", Wolfgang Pauli Institute, Vienna, Austria
- "Numerical simulation of powder snow avalanches". 26 March 2009, Atelier VOR, Laboratoire 3S-R, Grenoble, France
- "Numerical simulation of tsunami waves. Presentation of VOLNA code". 27 January 2009, Océanographie et Mathématiques, Ecole Normale Supérieure, Paris, France
- "Simulation of free surface compressible flows via a two fluid model", 27 October 2008, Séminaire et Groupe de travail de Modélisation Mathématique, Mécanique et Numérique (M3N), Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, Caen, France
- "Mathematical modelling of tsunami waves", 23 October 2008, Séminaire EDP-MOISE, Laboratoire Jean Kuntzmann, Grenoble, France
- "Simulation of free surface compressible flows via a two fluid model", 20 October 2008, Rencontres Niçoises de la Mécanique des Fluides, Laboratoire J.A. Dieudonné, Nice, France
- "Mathematical modelling of tsunami generation", LAMA, Université de Savoie, 10 October 2008, Le Bourget-du-Lac, France
- "Visco-potential free-surface flows", International Congress on Theoretical and Applied Mechanics (ICTAM), 24 - 29 August 2008, Adelaide, Australia
- "Tsunami wave energy", SIAM Conference on Nonlinear Waves and Coherent Structures, July 21 - 24, 2008, Universita di Roma, "La Sapienza", Rome, Italy
- "Numerical modelling of tsunami waves. VOLNA code presentation", LAMA, Université de Savoie, 4th July 2008, Le Bourget-du-Lac, France
- "Simulation of free surface compressible flows via a two fluid model", Nick Newman Symposium on Marine Hydrodynamics, 27th International Conference on Offshore Mechanics and Arctic Engineering (OMAE 2008), 15-20 June 2008, Estoril, Portugal
- "Simulation numérique dans l'hydrodynamique côtière", 39e Congrès National d'Analyse Numérique (CANUM 2008), 26 - 30 Mai 2008 (Titulaire d'une bourse Jeune Chercheur)
- "A two-fluid model for violent aerated flows", LAMA, Université de Savoie, le 24 avril 2008, Le Bourget-du-Lac, France
- "A two-fluid model for violent aerated flows", Groupe de Travail Numérique, Université d'Orsay, le 16 avril 2008, Orsay, France
- "Simulation numérique des écoulements à surface libre", Institut de Mécanique des Fluides de Toulouse, le 11 avril 2008, Toulouse, France
- "Simulation of free surface compressible motions via a two fluid model", GDR MOAD, Session Lyon, 19 - 21 March 2008, Lyon, France
- "Numerical modelling of tsunami generation and runup", Groupe de Travail Mécanique des Fluides Réels, 18 February 2008, CMLA, ENS de Cachan, France
- "Influence of the mud layer on sea-bed deformations", 2nd FORTH Workshop on Tsunami generation, 12 & 13 February, 2008, Heraklion, Crete (Greece)
- "Simulation of free surface motions via a two fluid model", International conference "Trends in Numerical and Physical Modeling for Industrial Multiphase Flows", September 17 - 21, 2007, Cargèse, Corsica (France)
- "On the dynamic generation of tsunamis by a moving bottom", TRANSFER Workshop "Numerical Models, Inundation Maps and Test Sites", June 12 - 14, 2007, Fethiye, Turkey. Presented by Vassilios Dougalis
- "Derivation and numerical simulation of long wave equations", Wolfgang Pauli Institute, Vienna. Working session "Modelling of nonlinear dispersive long waves" organized by Jean-Claude Saut, May 21 - 26, 2007
- "On the generation of tsunamis by earthquakes" at The Fifth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, April 16 - 19, 2007
- "Viscous shallow water equations: potential approach and numerical methods" was given on 13th of March 2007 at Institut de Mathématiques de Bordeaux, Groupe de travail mixte entre océanographes et mathématiciens organized by David Lannes.
- "Unstructured Finite Volume solver for dissipative shallow-water equations" at "Groupe de travail mécanique des fluides réels" which I delivered on 12th of February 2007 at CMLA, ENS Cachan
- "Tsunami generation", SIAM Conference on Nonlinear Waves and Coherent Structures, September 9 - 12, 2006, University of Washington, Seattle, Washington
- Inauguration of LRC CMLA/CEA. Talk "Tsunami wave generation", the 19th June 2006
- Results of the Sumatra Earthquake and Tsunami Offshore Survey 2005, October 19 - 24, 2005, Fondation des Treilles
- Atelier Cargèse: Modélisation physico-numérique pour les fluides, les particules et le rayonnement. Confrontation modèles physiques et modèles numériques. Institut d'Etudes Scientifique de Cargèse (Corse). 24 - 30 September 2006 (with F. Chardard)
- "Tsunami: du modèle au terrain". Exposé grand public dans le cadre de la Fête de la Science à Chambéry, le 15 novembre 2009
- "What is applied mathematics?". Talk given for general audience at Ecole Normale Supérieure de Cachan, 27 April 2007
- "Tsunami waves". Talk given for general audience at Ecole Normale Supérieure de Cachan, 5 December 2006
Remark: If you do not succeed to open/play the avi files on your computer, please, install this codec's pack
Powder-snow avalanches:
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Driven cavity flow test case (Re = 10 000):
 FreeFem++ (mesh resolution 120²) |
 OpenFOAM (mesh resolution 200²) |
Catalina #2 benchmark problem (with our code VOLNA):
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Flow over irregular bottom, k-epsilon turbulence model:
 Velocity field |
 Turbulent kinetic energy |
Incompressible two-phase flow. Classical dam-break test-case:
 Volume fraction |
 Pressure |
 Velocity magnitude |
Compressible two-phase flows. Exactly the same dam-break problem:
 Mixture density |
 Pressure |
Our results on long wave run-up problem:
 by courtesy of R. Poncet |
 by courtesy of R. Poncet |
Partial
dam break problem: |
Long
wave run-up on a sloping
beach: |
"Water" mass dropping down: |
Splash simulation with two phase
model: |
Unstructured finite volume solver
for tsunami generation problems (NSWE with time dependent bathymetry):
"Water drop in a basin" test-case for viscous shallow-water equations (unstructured finite-volume solver):
nonviscous
simulation: |
viscous
computation: |
"Water drop in a basin" test-case for viscous shallow-water equations (unstructured finite-volume solver):
nonviscous
simulation: |
viscous
computation: |
Tsunami energy computation:
Free
surface
animation: |
Corresponding
wave
energy density plot: |
Solitary wave-step interaction (computation
is done with a spectral method. Illustration to article: Dissipative
Boussinesq equations): |
Solitary
wave-step interaction (the
same computation as in the left but we represent a 2d cut along y = 0): |
Simulation
of tsunami generation with active/passive approaches. Bottom
deformation is computed by FEM (illustration to
paper "Fault Dynamics and Tsunami Generation"): |
Linearized
water wave problem for
tsunami generation modelling: case of instantaneous bottom motion
(animation to our paper: Water
Waves
generated by a moving bottom):
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I give essentially practical classes (Travaux Dirigés) for third-year students at the Department of Mathematics, ENS Cachan. These students prepare agrégation (civil service competitive examination for some positions in the public education system). The lectures are given by Frédéric Pascal, Jean-Michel Ghidaglia and Frédéric Dias.
Students use MatLab as programming language for numerical solution of formulated in exercises problems.
I have been assisting in teaching the following subjects:
- Scientific computing (calcul scientific)
- Numerical methods of Linear Algebra
- Numerical methods for PDE
- Numerical methods of Optimization
- a few practical classes on Differential Geometry with Maple (for students in Licence level)
- a few classes on Spectral Methods for MN2MC students
- March - July 2009: Yannick Meyapin. Master 2, University Joseph Fourier, Grenoble. Thesis: "Velocity and energy relaxation in two-phase flows". Together with M. Gisclon
- March - July 2006: Youen Kervella. Master of Ocean and Atmosphere Physics, Université de Brest. Thesis: "Comparison between linear and nonlinear tsunami generation models". Together with F. Dias
In my work I use the following libraries and scientific software:
- Linear algebra: Gmm++, PETSc, UMFPACK
- Meshes: GiD , Gmsh, SALOME, Triangle
- FEM, FVM, DG: OpenFOAM, GetFem++, Deal.II, libmesh++, Freefem++, freeFEM3D
- Visualization: ParaView, OpenDX, EasyBMP, MatLab, gnuplot, gnuplot_i, medit, PovRay
- General usage: GNU Scientific Library, blitz++, MatLab, Octave
- Compilers: gcc, g++, DevC++
- LaTeX: TeXnicCenter, Kile, MikTeX, Beamer, JabRef
Personal pages:
- Frédéric Dias (My PhD advisor, specialist in free surface flows and water waves)
- Jean-Michel Ghidaglia (specialist in numerical analysis with deep insight into Finite Volume method)
- Frédéric Chardard (PhD student in solitary waves stability questions)
- Florent Chazel (long wave models, Boussinesq equations)
- Raphaël Poncet (member of our research team)
- Didier Clamond (water waves, spectral methods)
- François de Vieilleville (Computer Scientist, Mozart and my advisor in C++)
- Frédéric Pascal (Discontinous Galerkin method, a posteriori error estimates)
- Florian De Vuyst (scientific computing, particle methods)
- Denis Gueyffier (incompressible flows, drop impacts)
- Benjamin Mauroy (lungs modelling)
- Voronets'kyy Yevgen (my friend, very good specialist in Java)
- Min Chen (solitary waves stability, Boussinesq equations, Long time behaviour)
- Jerry Bona (long waves theory, mathematical questions (well posedness))
http://mathocean.math.cnrs.fr/
Research Network "Vulnerability of structures undergoing a natural or technological hazard":
http://vor.grenoble-inp.fr/
Links to scientific software lists:
- Mesh Generation & Grid Generation on the Web
- List of Free Numerical Analysis Software
- Freely Available Software for LinAlg
- ScientificComputingSoftware
- You can download my database of references (in BibTeX format) that I cite regularly in my publications: biblio.bib. To manage this collection I use JabRef software that I can recommend you.
- I developed two my own styles (Kiev and Dnepropetrovsk) for LaTeX Beamer package. They were used to produce all my presentations from "Conferences and Talks" section. If you like these styles, you can download them: beamerthemeDnepropetrovsk.sty, beamerthemeKiev.sty. In order to use it, put the command "\usetheme{Dnepropetrovsk}" or "\usetheme{Kiev}" in the beginning of your document.
- MatLab program for Okada solution computaion and visualization: okadasol.m
My passion: mountain bike, cross country and Ukraine :)
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