In this paper we introduce and discuss new concepts useful to analyse and characterize patterns of vortex lines in fluid flows. We define measures of tropicity to identify ‘tubeness’, ‘sheetness’ and ‘bulkiness’ of vortex lines and to measure the spreading of field lines about preferred directions. Algebraic, geometric and topological measures based on crossing number information are discussed and are put in relation to the kinetic helicity and the energy of the fluid system.

Ricca, R. (2001). Tropicity and complexity measures for vortex tangles. In C.F. Barenghi, R.J. Donnelly, W.F. Vinen (a cura di), Quantized Vortex Dynamics and Superfluid Turbulence (pp. 366-372). Berlin Heidelberg : Springer [10.1007/3-540-45542-6_36].

Tropicity and complexity measures for vortex tangles

RICCA, RENZO
2001

Abstract

In this paper we introduce and discuss new concepts useful to analyse and characterize patterns of vortex lines in fluid flows. We define measures of tropicity to identify ‘tubeness’, ‘sheetness’ and ‘bulkiness’ of vortex lines and to measure the spreading of field lines about preferred directions. Algebraic, geometric and topological measures based on crossing number information are discussed and are put in relation to the kinetic helicity and the energy of the fluid system.
Capitolo o saggio
structural complexity measures
English
Quantized Vortex Dynamics and Superfluid Turbulence
Barenghi, CF; Donnelly, RJ; Vinen, WF
2001
978-3-540-42226-6
571
Springer
366
372
Ricca, R. (2001). Tropicity and complexity measures for vortex tangles. In C.F. Barenghi, R.J. Donnelly, W.F. Vinen (a cura di), Quantized Vortex Dynamics and Superfluid Turbulence (pp. 366-372). Berlin Heidelberg : Springer [10.1007/3-540-45542-6_36].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/100228
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