Mathematical Models for Eddy Currents and Magnetostatics

With Selected Applications

  • Rachid Touzani
  • Jacques Rappaz
Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Eddy Current Models

    1. Front Matter
      Pages 1-1
    2. Rachid Touzani, Jacques Rappaz
      Pages 3-38
    3. Rachid Touzani, Jacques Rappaz
      Pages 39-54
    4. Rachid Touzani, Jacques Rappaz
      Pages 55-77
    5. Rachid Touzani, Jacques Rappaz
      Pages 79-101
    6. Rachid Touzani, Jacques Rappaz
      Pages 103-127
    7. Rachid Touzani, Jacques Rappaz
      Pages 129-152
    8. Rachid Touzani, Jacques Rappaz
      Pages 153-194
  3. Selected Applications

    1. Front Matter
      Pages 195-195
    2. Rachid Touzani, Jacques Rappaz
      Pages 197-219
    3. Rachid Touzani, Jacques Rappaz
      Pages 221-242
    4. Rachid Touzani, Jacques Rappaz
      Pages 243-253
    5. Rachid Touzani, Jacques Rappaz
      Pages 255-269
    6. Rachid Touzani, Jacques Rappaz
      Pages 271-290
  4. Back Matter
    Pages 291-305

About this book

Introduction

This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications.

Keywords

Maxwell equations low frequency approximation coupled problem involving eddy current eddy current industrial application eddy current model with thin inductor eddy current problem eddy current process eddy current processes electromagnetic problem low frequencies induction heating process magnetostatic problem melt flow of electrically conducting metal model incompressible magneto-hydrodynamics modeling ferromagnetic screening numerical solution Maxwell equations

Authors and affiliations

  • Rachid Touzani
    • 1
  • Jacques Rappaz
    • 2
  1. 1.Universite Blaise PascalClermont-FerrandFrance
  2. 2.Ecole Polytechnique Fédérale de LausanneLausanneSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-0202-8
  • Copyright Information Springer Science+Business Media Dordrecht 2014
  • Publisher Name Springer, Dordrecht
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-94-007-0201-1
  • Online ISBN 978-94-007-0202-8
  • Series Print ISSN 1434-8322
  • About this book