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This book deals with the analysis and development of numerical
methods for the time-domain analysis of multiphysical effects in
superconducting circuits of particle accelerator magnets. An
important challenge is the simulation of "quenching", i.e. the
transition of a material from the superconducting to the normally
electrically conductive state. The book analyses complex
mathematical structures and presents models to simulate such
quenching events in the context of generalized circuit elements.
Furthermore, it proposes efficient parallelized algorithms with
guaranteed convergence properties for the simulation of
multiphysical problems. Spanning from theoretical concepts to
applied research, and featuring rigorous mathematical presentations
on one side, as well as simplified explanations of many complex
issues, on the other side, this book provides graduate students and
researchers with a comprehensive introduction on the state of the
art and a source of inspiration for future research. Moreover, the
proposed concepts and methods can be extended to the simulation of
multiphysical phenomena in different application contexts.
This book deals with the analysis and development of numerical
methods for the time-domain analysis of multiphysical effects in
superconducting circuits of particle accelerator magnets. An
important challenge is the simulation of "quenching", i.e. the
transition of a material from the superconducting to the normally
electrically conductive state. The book analyses complex
mathematical structures and presents models to simulate such
quenching events in the context of generalized circuit elements.
Furthermore, it proposes efficient parallelized algorithms with
guaranteed convergence properties for the simulation of
multiphysical problems. Spanning from theoretical concepts to
applied research, and featuring rigorous mathematical presentations
on one side, as well as simplified explanations of many complex
issues, on the other side, this book provides graduate students and
researchers with a comprehensive introduction on the state of the
art and a source of inspiration for future research. Moreover, the
proposed concepts and methods can be extended to the simulation of
multiphysical phenomena in different application contexts.
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