Mathematical models for eddy currents and magnetostatics
General Material Designation
[Book]
Other Title Information
:with selected applications
First Statement of Responsibility
/ Rachid Touzani, Jacques Rappaz
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, 2013?.
SERIES
Series Title
(Scientific computation)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index..
CONTENTS NOTE
Text of Note
Summary: 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.
Text of Note
Part I. Eddy Current Models -- Mathematical framework -- Maxwell and eddy current equations -- Two-dimensional models -- Three-dimensional models -- Axisymmetric setting -- Eddy current models with thin inductors -- Numerical Methods -- Part II. Selected Applications -- Induction Heating Processes -- Magnetohydrodynamics and Magnetic Shaping -- Inductively coupled plasma torches -- Ferromagnetic Shielding -- The electrolytic process for aluminium production.
SERIES
Title
Scientific computation
TOPICAL NAME USED AS SUBJECT
Eddies, Mathematical models
Magnetostatics, Mathematical models
Mathematics
Computational Science and Engineering
Numerical and Computational Physics
Appl.Mathematics/Computational Methods of Engineering