Adaptive Space-time Finite Element Method in High Temperature Superconductivity PDF Download
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Author: Andy Tak Shik Wan
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
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Book Description
This research distinguishes itself from previous numerical studies of the p-curl problem because it relies on rigorous mathematical theory to guide the development and analysis of these new techniques.
Author: Andy Tak Shik Wan
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
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Book Description
This research distinguishes itself from previous numerical studies of the p-curl problem because it relies on rigorous mathematical theory to guide the development and analysis of these new techniques.
Author: James J. Schuler
Publisher:
ISBN:
Category : Electromagnetic fields
Languages : en
Pages : 266
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Author: Dominik Meidner
Publisher:
ISBN:
Category :
Languages : en
Pages : 172
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Author: Marcin Skotniczny
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: Dantong He
Publisher:
ISBN:
Category :
Languages : en
Pages : 336
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Author: Jens Lang
Publisher:
ISBN:
Category :
Languages : de
Pages : 47
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Author: Bertrand Dutoit
Publisher: World Scientific
ISBN: 9811271453
Category : Science
Languages : en
Pages : 329
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Book Description
This book aims to present an introduction to numerical modeling of different aspects of large-scale superconducting applications: electromagnetics, thermal, mechanics and thermo-hydraulics. The importance of computational modeling to advance current superconductor research cannot be overlooked, especially given the enormous benefits provided by superconductors in many human endeavours, including energy generation, medical treatments, and future electrical technologies.Aimed at graduate students, researchers and practitioners in different fields of applied superconductivity, this book consists of four chapters. The chapter on electromagnetics provides a review of the state-of-the-art modeling of electromagnetic phenomena in superconductors, emphasising the theoretical aspects of the different numerical formulations. This is followed by a chapter on thermal effects, dedicated to the simulation of thermal stability and quench in superconducting magnets, with specific examples of magnets used in particle accelerators. Then, the chapter on mechanics provides details of the modeling of forces and stresses in cables composed of second-generation high-temperature superconducting wires. Finally, the chapter on thermo-hydraulics focuses on the fundamental thermal-hydraulic aspects involved in the cooling of superconducting magnets, with special reference to the issues related to the forced-flow cooling.
Author: Michel Krizek
Publisher: Routledge
ISBN: 1351448609
Category : Mathematics
Languages : en
Pages : 370
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Book Description
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Author:
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Category : Aeronautics
Languages : en
Pages : 702
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 57
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Book Description
An adaptive finite element method is developed to solve initial boundary value problems for vector systems of parabolic partial differential equations in one space dimension and time. The differential equations are discretized in space using piecewise linear finite element approximations. Superconvergence properties and quadratic polynomials are used to derive a computation ally inexpensive approximation to the spatial component of the error. This technique is coupled with time integration schemes of successively higher orders to obtain an approximation of the temporal and total discretization errors. These approximate errors are used to control an adaptive mesh refinement strategy. Refinement is performed in space, time, or both space and time depending on the dominant component of the error estimate. A computer code coupling this refinement strategy and stable mesh movement has been written and applied to a number of problems. These computations confirm that proper mesh movement can reduce the computational efforts associated with mesh refinement.
