Job offers

  • PhD offers

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  • Postdoc offers

    Coupling Equilibrium and transport in Tokamaks

    Description of the subject : Developing reliable algorithms for tokamak simulation frameworks is one of the major goals of the Castor team.  At present, the operation of thermonuclear fusion experiments relies heavily on reduced-order models as first principles approaches are far too expensive to address the many interesting and important questions in tokamak engineering: identification of plasma characteristics in real-time, fast pre-shot simulations within virtual tokamak frameworks, fast post-shot simulations within the same framework augmented by measurement data, development of experimental scenarios, design of new devices, improvement of heat load mitigation or assessing novel strategies to improve stability, to name just a few. Unfortunately, these reduced models do not resemble canonical models, for which fundamental mathematical analysis and well-known numerical methods are available,
    which makes it extremely difficult to develop computational methods for such models.
    Building on our previous efforts on numerical methods for the coupling of equilibrium and transport/resistive diffusion, real time reconstruction and scenario optimization, this post-doc work will work towards more complex and more general models involving the coupling of the two different regions encountered in a tokamak plasma : The SOL (Scrape-Off Layer) region near the plasma edge where the plasma temperature and density are low and the CORE region characterized by very high temperature and densities.
    The aim of this post-doc proposal is to allow fast (near real time) simulations of coupled models for SOL and CORE plasma. Coupling of SOL and CORE plasma amounts to combine schemes for transport equations in two different dimensions, with non-linear bi-directional coupling effects. This increases even more the modeling complexity of the previously considered coupling of equilibrium and transport. We also investigate to which extent it is possible to include SOL effects into the existing real time reconstruction codes, and we envisage to generalize automated scenario optimization to such models.

    Skills and profile : Solid knowledge in applied mathematics and modeling in fluid dynamics or plasma physics. Good programming skills in C-C++ or Fortran or python and basic knowledge of parallel computing (MPI – OpenMP). Good command of English as working language. Interest in the interaction with physicists and physical experiments. Study experiences out of France are an asset.Contract duration : 20 month.

    Contact : Herve.Guillard@inria.fr

    Keywords: Applied mathematics – Numerical Analysis – Scientific computing
    Plasma Modeling – Nuclear fusion – Tokamaks

    Well balanced schemes for the Vlasov equation

     

    Skills and profile : Solid knowledge in applied mathematics and modeling in fluid dynamics or plasma physics. Good programming skills in C-C++ or Fortran or python and basic knowledge of parallel computing (MPI – OpenMP). Good command of English as working language. Interest in the interaction with physicists and physical experiments. Study experiences out of France are an asset.Contract duration : 12 months.

    Contact : Nicolas.Crouseilles@inria.fr

    Keywords: Applied mathematics – Numerical Analysis – Scientific computing
    Plasma Modeling – Nuclear fusion – Tokamaks

  • Engineer offers

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