Numerical Approximation of the Magnetoquasistatic Model with Uncertainties

Applications in Magnet Design

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Éditeur :

Springer


Collection :

Springer Theses

Paru le : 2016-07-27



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Description

This book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators.
 
Pages
114 pages
Collection
Springer Theses
Parution
2016-07-27
Marque
Springer
EAN papier
9783319412931
EAN PDF
9783319412948

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
11
Taille du fichier
2826 Ko
Prix
94,94 €
EAN EPUB
9783319412948

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
11
Taille du fichier
2181 Ko
Prix
94,94 €