Numerical detection of a new instability mode of a vortex ring

Yuji Hattori; Yasuhide Fukumoto

doi:10.1115/FEDSM2007-37138

Numerical detection of a new instability mode of a vortex ring

Yuji Hattori, Yasuhide Fukumoto

IFS - Complex Flow Research Division

Kyushu University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The instability of a vortex ring is studied by direct numerical simulation of the Naviev-Stokes equations. First we consider a vortex ring in a periodic cylindrical domain. The Widnall instability of bending waves is ohseived clearly. Next we consider a vortex ring confined in a torus. A novel method for solving the Navier-Stokes equations with high accuracy in a fonts is developed and used in the simulation. The curvature instability, which is found by the authors recently, is captured for the first time. The growth rate of unstable modes agrees well with the value obtained by linear stability analysis. The structure of destabilized vortex ring is investigated in detail.

Original language	English
Title of host publication	2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007
Pages	1111-1118
Number of pages	8
Edition	PART B
DOIs	https://doi.org/10.1115/FEDSM2007-37138
Publication status	Published - 2007
Event	2007 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007 - San Diego, CA, United States Duration: 2007 Jul 30 → 2007 Aug 2

Publication series

Name	2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007
Number	PART B
Volume	1 SYMPOSIA

Conference

Conference	2007 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007
Country/Territory	United States
City	San Diego, CA
Period	07/7/30 → 07/8/2

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10.1115/FEDSM2007-37138

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Hattori, Y., & Fukumoto, Y. (2007). Numerical detection of a new instability mode of a vortex ring. In 2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007 (PART B ed., pp. 1111-1118). (2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007; Vol. 1 SYMPOSIA, No. PART B). https://doi.org/10.1115/FEDSM2007-37138

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title = "Numerical detection of a new instability mode of a vortex ring",

abstract = "The instability of a vortex ring is studied by direct numerical simulation of the Naviev-Stokes equations. First we consider a vortex ring in a periodic cylindrical domain. The Widnall instability of bending waves is ohseived clearly. Next we consider a vortex ring confined in a torus. A novel method for solving the Navier-Stokes equations with high accuracy in a fonts is developed and used in the simulation. The curvature instability, which is found by the authors recently, is captured for the first time. The growth rate of unstable modes agrees well with the value obtained by linear stability analysis. The structure of destabilized vortex ring is investigated in detail.",

author = "Yuji Hattori and Yasuhide Fukumoto",

year = "2007",

doi = "10.1115/FEDSM2007-37138",

language = "English",

isbn = "0791842886",

series = "2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007",

number = "PART B",

pages = "1111--1118",

booktitle = "2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007",

edition = "PART B",

note = "2007 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007 ; Conference date: 30-07-2007 Through 02-08-2007",

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Hattori, Y & Fukumoto, Y 2007, Numerical detection of a new instability mode of a vortex ring. in 2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007. PART B edn, 2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007, no. PART B, vol. 1 SYMPOSIA, pp. 1111-1118, 2007 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007, San Diego, CA, United States, 07/7/30. https://doi.org/10.1115/FEDSM2007-37138

Numerical detection of a new instability mode of a vortex ring. / Hattori, Yuji; Fukumoto, Yasuhide.
2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007. PART B. ed. 2007. p. 1111-1118 (2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007; Vol. 1 SYMPOSIA, No. PART B).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - The instability of a vortex ring is studied by direct numerical simulation of the Naviev-Stokes equations. First we consider a vortex ring in a periodic cylindrical domain. The Widnall instability of bending waves is ohseived clearly. Next we consider a vortex ring confined in a torus. A novel method for solving the Navier-Stokes equations with high accuracy in a fonts is developed and used in the simulation. The curvature instability, which is found by the authors recently, is captured for the first time. The growth rate of unstable modes agrees well with the value obtained by linear stability analysis. The structure of destabilized vortex ring is investigated in detail.

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Numerical detection of a new instability mode of a vortex ring

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