Reduced basis method applied to large non-linear multi-physics problems : application to high field magnets design

Abstract : The magnetic field constitutes a powerfull tool for researchers, especially to determine the properties of the matter. This kind of applications requires magnetic fields of high intensity. The "Laboratoire National des Champs Magnetiques Intenses" (LNCMI) develops resistive magnets providing such magnetic field to scientists. The design of these magnets represents a challenge interms of design. We have developed a range of non-linear coupled models taking into account the whole involved physics, implemented through the Feel++ library. Designed for many query context, the reduced basis method applied to the multi-physics model aims to circumvent the complexity of the problem. lts efficiency allows to move towards parametric studies and sensitivity analysis in various concrete applications. Especially, the method SER we introduce in this thesis is a significant breakthrough for non-linear and non-affine problems in an industrial context.
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Cécile Daversin - Catty. Reduced basis method applied to large non-linear multi-physics problems : application to high field magnets design. Electromagnetism. Université de Strasbourg, 2016. English. ⟨NNT : 2016STRAD019⟩. ⟨tel-01361722v2⟩

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