A Unified View of Topological Invariants of Fluid Flows

• Fukumoto Yasuhide

  Graduate School of Mathematics and Mathematical Research Center for Industrial Technology, Kyushu University

Abstract

The helicity is a topological invariant of an ideal fluid in three function of vorticity as topological invariants. This is extended to axisymmetric flows. We show that these are variants of the cross helicity. Noether's theorem associated with the particle relabeling symmetry underpins this unified view. A comment is given to the bearing of Kelvin's circulation theorem with Noether's second theorem.

Journal

• Topologica

  Topologica 1 (1), 003-, 2008

  21st Century COE Program "Topological Science and Technology"

Keywords

• topological unvariants
• cross helicity
• Kelvin's circulation theorem
• Euler-Poincaré equations
• Noether's theorem

Details

• CRID: 1390282680251023872
• NII Article ID: 130004488745
• DOI: 10.3731/topologica.1.003
• ISSN: 18816886
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed