The Vorton method

Fons Alkemade; F.T.M. Nieuwstadt; E. van Groesen

doi:10.1007/978-94-015-8137-0_12

The Vorton method

Fons Alkemade, F.T.M. Nieuwstadt, E. van Groesen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

3 Citations (Scopus)

178 Downloads (Pure)

Abstract

After a general introduction to the vorton method, which is a 3-D vortex particle method resembling the 2-D point-vortex method, a set of equations describing dynamics of 3-D vortex singularities (vortons) is derived, avoiding the inconsistency in the derivation of former vorton equations by Novikov and Kuwabara. Though inviscid, numerical simulations show reconnection phenomena. Current examples of vorton simulations are shown; they show at least qualitative agreement with results from other methods.

Original language	English
Title of host publication	Vortex Flows and Related Numerical Methods
Editors	J.T. Beale, G.-H. Cottet, S. Huberson
Publisher	Kluwer Academic Publishers
Pages	153-158
ISBN (Electronic)	978-94-015-8137-0
ISBN (Print)	978-90-481-4263-7
DOIs	https://doi.org/10.1007/978-94-015-8137-0_12
Publication status	Published - 1993
Event	NATO Advanced Research Workshop on Vortex Flows and Related Numerical Methods 1992 - Grenoble, France Duration: 15 May 1992 → 19 May 1992

Publication series

Name	NATO ASI Series C: Mathematical and Physical Sciences
Publisher	Kluwer Academic Publishers
Volume	395
ISSN (Print)	1389-2185

Workshop

Workshop	NATO Advanced Research Workshop on Vortex Flows and Related Numerical Methods 1992
Country/Territory	France
City	Grenoble
Period	15/05/92 → 19/05/92

Keywords

IR-56247
Vortex Ring
Helmholtz Equation
Point Vortex
Vorticity Field
Horseshoe Vortex

Access to Document

10.1007/978-94-015-8137-0_12

Alkemade1993vortonFinal published version, 237 KB

Cite this

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title = "The Vorton method",

abstract = "After a general introduction to the vorton method, which is a 3-D vortex particle method resembling the 2-D point-vortex method, a set of equations describing dynamics of 3-D vortex singularities (vortons) is derived, avoiding the inconsistency in the derivation of former vorton equations by Novikov and Kuwabara. Though inviscid, numerical simulations show reconnection phenomena. Current examples of vorton simulations are shown; they show at least qualitative agreement with results from other methods.",

keywords = "IR-56247, Vortex Ring, Helmholtz Equation, Point Vortex, Vorticity Field, Horseshoe Vortex",

author = "Fons Alkemade and F.T.M. Nieuwstadt and {van Groesen}, E.",

year = "1993",

doi = "10.1007/978-94-015-8137-0_12",

language = "English",

isbn = "978-90-481-4263-7",

series = "NATO ASI Series C: Mathematical and Physical Sciences",

publisher = "Kluwer Academic Publishers",

pages = "153--158",

editor = "J.T. Beale and G.-H. Cottet and S. Huberson",

booktitle = "Vortex Flows and Related Numerical Methods",

address = "Netherlands",

note = "NATO Advanced Research Workshop on Vortex Flows and Related Numerical Methods 1992 ; Conference date: 15-05-1992 Through 19-05-1992",

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Alkemade, F, Nieuwstadt, FTM & van Groesen, E 1993, The Vorton method. in JT Beale, G-H Cottet & S Huberson (eds), Vortex Flows and Related Numerical Methods. NATO ASI Series C: Mathematical and Physical Sciences, vol. 395, Kluwer Academic Publishers, pp. 153-158, NATO Advanced Research Workshop on Vortex Flows and Related Numerical Methods 1992, Grenoble, France, 15/05/92. https://doi.org/10.1007/978-94-015-8137-0_12

The Vorton method. / Alkemade, Fons; Nieuwstadt, F.T.M.; van Groesen, E.
Vortex Flows and Related Numerical Methods. ed. / J.T. Beale; G.-H. Cottet; S. Huberson. Kluwer Academic Publishers, 1993. p. 153-158 (NATO ASI Series C: Mathematical and Physical Sciences; Vol. 395).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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T1 - The Vorton method

AU - Alkemade, Fons

AU - Nieuwstadt, F.T.M.

AU - van Groesen, E.

PY - 1993

Y1 - 1993

N2 - After a general introduction to the vorton method, which is a 3-D vortex particle method resembling the 2-D point-vortex method, a set of equations describing dynamics of 3-D vortex singularities (vortons) is derived, avoiding the inconsistency in the derivation of former vorton equations by Novikov and Kuwabara. Though inviscid, numerical simulations show reconnection phenomena. Current examples of vorton simulations are shown; they show at least qualitative agreement with results from other methods.

AB - After a general introduction to the vorton method, which is a 3-D vortex particle method resembling the 2-D point-vortex method, a set of equations describing dynamics of 3-D vortex singularities (vortons) is derived, avoiding the inconsistency in the derivation of former vorton equations by Novikov and Kuwabara. Though inviscid, numerical simulations show reconnection phenomena. Current examples of vorton simulations are shown; they show at least qualitative agreement with results from other methods.

KW - IR-56247

KW - Vortex Ring

KW - Helmholtz Equation

KW - Point Vortex

KW - Vorticity Field

KW - Horseshoe Vortex

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DO - 10.1007/978-94-015-8137-0_12

M3 - Conference contribution

SN - 978-90-481-4263-7

T3 - NATO ASI Series C: Mathematical and Physical Sciences

SP - 153

EP - 158

BT - Vortex Flows and Related Numerical Methods

A2 - Beale, J.T.

A2 - Cottet, G.-H.

A2 - Huberson, S.

PB - Kluwer Academic Publishers

T2 - NATO Advanced Research Workshop on Vortex Flows and Related Numerical Methods 1992

Y2 - 15 May 1992 through 19 May 1992

ER -

The Vorton method

Abstract

Publication series

Workshop

Keywords

Access to Document

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Cite this