William D. D'Haeseleer, William N. G. Hitchon, James D. Callen, J. Leon Shohet

Flux Coordinates and Magnetic Field Structure (eBook, PDF)

A Guide to a Fundamental Tool of Plasma Theory

• Format: PDF

Produktbeschreibung

Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas. The various specific types of coordinate system are dealt with in detail.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 241
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642755958
• Artikelnr.: 53383294

Inhaltsangabe

1. Introduction and Overview.- I Fundamental Concepts.- 2. Vector Algebra and Analysis in Curvilinear Coordinates.- 3. Tensorial Objects.- 4. Magnetic-Field-Structure-Related Concepts.- II Flux Coordinates.- 5. The Clebsch-Type Coordinate Systems.- 6. Toroidal Flux Coordinates.- 7. Conversion from Clebsch Coordinates to Toroidal Flux Coordinates.- 8. Establishment of the Flux-Coordinate Transformation; A Summary.- 9. Canonical Coordinates or "Generalized Magnetic Coordinates".- III Selected Topics.- 10. "Proper" Toroidal Coordinates.- 11. The Dynamic Equilibrium of an Ideal Tokamak Plasma.- 12. The Relationship Between ?dl/B and dV/d?tor.- 13. Transformation Properties of Vector and Tensor Components.- 14. Alternative Derivations of the Divergence Formula.- References.