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Home   /   Thesis   /   Numerical modelling of the transport in the edge plasma of a stellarator by a high order discontinuous Galerkin method

Numerical modelling of the transport in the edge plasma of a stellarator by a high order discontinuous Galerkin method

Engineering sciences Numerical simulation Technological challenges Thermal energy, combustion, flows


The stellarator configuration has been chosen by the Renaissance Fusion start-up for the development of a prototype Fusion reactor. This non-axisymmetric configuration cannot currently be modelled with the SOLEDGE3X edge plasma code developed at IRFM, which is based on a finite volume algorithm with a mesh aligned on axisymmetric flux surfaces (well-suited for the tokamak configuration). In recent years, a collaboration between the IRFM and the M2P2 laboratory (Marseille) has led to the development of an finite element version of SOLEDGE using a high-order Hybrid Discontinuous Galerkin (HDG) method on a mesh not aligned with the magnetic field. By relaxing the constraint on mesh alignment with the magnetic field, this more flexible HDG version can theoretically simulate the stellarator configuration. However, current applications have focused mainly on the tokamak configuration for WEST and ITER (2D-axisymmetric modelling). An extension to a promising non-axisymmetric 3D configuration to simulate the ripple in WEST (error field linked to the finite number of coils) has demonstrated the code's ability to simulate this type of complex magnetic configuration. The aim of this thesis is to improve this finite-element version of SOLEDGE and apply it for the first time to a stellarator configuration. In particular, the high anisotropy of the heat transport requires developing innovative effective numerical methods that the student will have to investigate.


Institut de recherche sur la fusion par confinement magnétique
Service de Physique des Plasmas de Fusion
Groupe Mesures Physiques Plasma
Aix-Marseille Université
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