Workshop:

Fluid-structure coupled problems and nonlinear Partial Differential Equations

October 9-10, 2003, Mulhouse, France

Invited Speakers:

Programme:

Thurstay, October 9, 2003

9h30 - 10h30, C. Murea, Sensitivity and approximation of fluid-structure equations coupled by virtual control method

10h30 - 11h, Pause

11h - 12h, E. Maitre, A combined level-set immersed boundary approach to describe the motion of an elastic curve in a fluid. Application to cell dynamics.
 

14h30 -15h30,  C. Grandmont, Some existence results for fluid-structure interaction problems.

15h30 - 16h, Pause

16h -17h, S. Piperno, Energy-conserving partitioned procedures for the transient solution of coupled problems.
 

Friday, October 10,2003

9h-10h, J.-F. Gerbeau, Fluid-structure interaction problems in blood flows

10h - 10h30, Pause

10h30 - 11h30, J. Cagnol, Free boundary conditions associated with an intrinsic geometric shell model in the context of a structure-acoustic system

The list of abstracts is available on the bottom of this page!
 

Place

The Department of  Mathematics is situated in the building no 14.
The Workshop will take place in the building no 13 (which is next to the building 14), Amphitheatre "P. Schutzenberger".

You will find the campus map on the page
http://www.uha.fr/web/plan/mulhouse.jsp
 

Topics:

  • Fluid -structure interaction,
  • Flow in  moving domain,
  • Shell  elasticity

  •  

    Submit a contribution

    In addition to the plenary speakers, contributed talks of 20 minutes will be organized.
    Interested people are asked to submit an abstract preferably before September 20, 2003 to C. Murea, e-mail : C.Murea@uha.fr
    The talks could be in French or English.
     

    Registration

    The participation to the meeting is open to all public. There are not registration fees. All the participants are asked to send by e-mail preferably before September 20, 2003 to C. Murea, e-mail : C.Murea@uha.fr
  • Name, affiliation, e-mail
  • arrival and departure days
  • if you want that the organizers make the reservation for you to the hotel. In this case, please, send your message as soon as possible.

  •  

    Lodging

    Centre Sportif Regional Alsace,
    5, rue des Freres Lumiere,
    68059 MULHOUSE, France,
    phone  03.89.60.54.26
    fax  03.89.42.63.99
    Single room: 20 euros, Breakfast: 4.50euros

    Building no 21 on the map:
    http://www.uha.fr/web/plan/mulhouse.jsp
     

    Organizers:

    S. Akesbi, e-mail : S.Akesbi@uha.fr     phone : 03 89 33 60 34
    B. Brighi, e-mail : B.Brighi@uha.fr      phone : 03 89 33 64 23
    C. Murea, e-mail : C.Murea@uha.fr      phone : 03 89 33 64 23

    Fax : 03 89 33 66 53
     

    Address:

    Laboratoire de Mathématiques et Applications
    Université de Haute Alsace
    Faculté des Sciences et Techniques
     4, rue des Frères Lumière
     68093 MULHOUSE CEDEX
    France
     

    The web site:

    http://www.math.uha.fr
    http://www.math.uha.fr/EUCOR/ifs.html
     
     

    List of abstracts:


    Speaker: E. Maitre, Laboratoire de Modélisation et Calcul, IMAG, Grenoble

    Titre: A combined level-set immersed boundary approach to describe
    the motion of an elastic curve in a fluid. Application to cell dynamics.

    Abstract: Cell shape deformation (in particular membrane protrusions)
     and motion are routinely observed as spontaneous activity
    or dynamic response to external stimuli (chemiotaxis). We are interested in understanding what
    are the driving mechanisms/parameters  for these dynamics.
    In that aim, we construct toy models, with minimal biochemistry and fluid dynamics, capable to
    reproduce observed behavior. The simplest model one can think of consists in an elastic curve immersed in a fluid.
    This is already a challenging fluid-structure model from the mathematical and numerical point of view.
     
    Whereas level set and immersed boundary technics are classical nowadays, one originality of
    our approach is to combine them into a synthetic model for which we can obtain energy estimates.
    These estimates bring us some confidence in the numerical simulations that have beeen performed.
     
    In this talk we introduce a model consisting in Navier-Stokes equations coupled with a
    transport equation of a fonction whose zero level set is the elastic curve.
    The elastic force exerced by the structure on the fluid is expressed in a
    level-set/immersed boundary framework. An energy estimate is proven for this model, and
    numerical simulations are presented. A modification of
    this model to handle somehow the biomechanical behavior of the membrane is proposed.
     
     

    Speaker: Serge Piperno, CERMICS, INRIA, Sophia - Antipolis

    Titre: Energy-conserving partitioned procedures
    for the transient solution of coupled problems.

    Abstract: In some cases, the conservation of a global energy is
    one of the key points for the accurate transient solution of
    coupled systems. This is the case for instance for
    fluid-structure interactions when a direct staggered time scheme
    is used, or for the simulation in the time domain of the
    propagation of acoustic or electromagnetic waves when the
    geometrical domain in decomposed. The conservation of a global
    energy is then seeked for, in order to ensure the global
    stability of the algorithm or its accuracy for simulating
    fluid-structure problems near critical conditions.
     

    Speaker: J.-F. Gerbeau, INRIA, Rocquencourt

    Title: Fluid-structure interaction problems in blood flows

    Abstract: We will present some results in the numerical simulation of the
    mechanical interaction between the blood and the wall of large arteries.
    In such problems, the overall stability strongly depends on the accuracy
    of the resolution of a nonlinear equation raised on the fluid-structure
    interface.  Fixed point algorithms with relaxation are often used to
    solve this equation. We will show how to use simplified models in order
    to design more efficient algorithms.  The use of such simplified models
    in the parallelization in time will be also discussed.
     
     

    Speaker: John Cagnol, Pole Universitaire Leonard de Vinci, Paris, France

    Title: Free boundary conditions associated with an intrinsic geometric
    shell model in the context of a structure-acoustic system

    Abstract: A wide variety of engineering and applied mathematics
    problems can be modeled in the context of thin shells.  Many problems
    involve issues such as, for example, boundary feedback control, for
    which sophisticated mathematical analysis have been developed in the
    analogous plate case.  The difficulty with adapting these techniques
    to classical shell models is one motivating factor driving the
    development of new modeling schemes.  The technique proposed by Michel
    Delfour and Jean-Paul Zolesio and used here, takes advantage of the
    intrinsic geometric properties of the shell.  The model used in this
    presentation was introduced in a joint work by John Cagnol, Catherine
    Lebiedzik, Irena Lasiecka and Jean-Paul Zolesio, where the Kirchhoff
    hypothesis and shallowness assumption were used.  In this talk we
    shall expand this shell model by formulating the associated 'free'
    boundary conditions.  We will present results obtained jointly with
    Catherine Lebiedzik where the shell is assumed to be clamped on a
    portion of the boundary and free on the rest.  We will also present
    the control operator in the language of intrinsic modeling.
     

    Speaker: C. Murea, Laboratoire de Mathématiques et Applications, Université de Haute-Alsace

    Title: Sensitivity and approximation of fluid-structure equations coupled by virtual control method

    Abstract: The formulation of a particular fluid-structure interaction as an optimal
    control problem is the departure point of this work. The analytic
    expression for the gradient of the cost function is obtained in order to
    devise accurate numerical methods for the minimization problem.
    Numerical simulations of blood flow in arteries are presented.