Mathematical Analysis and Simulation of Field Models in Accelerator Circuits
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Beschreibung
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.
Nominated as an outstanding PhD thesis by TechnischeUniversität Darmstadt, Germany Presents novel methods for simulatingmultiphysical phenomena in superconducting circuits Includes a rigorous description of all mathematical structures
Autor*in
Idoia Cortes Garcia
Themen in »Mathematical Analysis and Simulation of Field Models in Accelerator Circuits«
Nonlinear Circuit Models Simulation of Superconducting Magnets Differential Algebraic Equations(DAEs) DAE Index of Field Circuit Coupled Systems Optimised Schwarz Waveform Relaxation Parareal for DAEs Electroquasistatic Models Waveform Relaxation Method Quench Protection System Space Discretization Time Discretization Maxwell’s Equations Simulation of Coupled Systems Field-circuit Coupling Parallel-in-time Algorithm