Skip to main content
SpringerLink
Log in

Alternative Derivations of the Divergence Formula

  • Chapter
Flux Coordinates and Magnetic Field Structure

Part of the book series: Springer Series in Computational Physics ((SCIENTCOMP))

Abstract

In this chapter, we discuss two alternative derivations for the divergence formula of (2.6.39). The one found most frequently in the applied mathematics literature involves Christoffel symbols. This derivation is rather remote from the usual plasma physics calculations, however. Nevertheless, for completeness and cohesiveness of our treatment, we include it as a last case. The method given first is the most natural.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

  1. School of Engineering, Katholieke Universiteit Leuven, Arenbergkasteel, Kard. Mecierlaan 94, B-3001, Leuven, Belgium

    Dr. William Denis D’haeseleer (Associate Professor (part time)

  2. The NET Team, Max-Planck-Institut für Plasmaphysik, Boltzmannstraße 2, D-8046, Garching bei München, Fed. Rep. of Germany

    Dr. William Denis D’haeseleer (Associate Professor (part time)

  3. Department of Electrical and Computer Engineering, University of Wisconsin-Madison, 1415 Johnson Drive, WI, 53706, Madison, USA

    Dr. William Nicholas Guy Hitchon (Associate Professor) & Dr. J. Leon Shohet (Professor)

  4. Departments of Nuclear Engineering & Engineering Physics and Physics, University of Wisconsin-Madison, 1500 Johnson Drive, WI, 53706-1687, Madison, USA

    Dr. James D. Callen (D. W. Kerst Professor)

Authors
  1. Dr. William Denis D’haeseleer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dr. William Nicholas Guy Hitchon
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dr. James D. Callen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dr. J. Leon Shohet
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

D’haeseleer, W.D., Hitchon, W.N.G., Callen, J.D., Shohet, J.L. (1991). Alternative Derivations of the Divergence Formula. In: Flux Coordinates and Magnetic Field Structure. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75595-8_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-75595-8_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-75597-2

  • Online ISBN: 978-3-642-75595-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation