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Article: Vortex arrays for sinh-Poisson equation of two-dimensional fluids: Equilibria and stability
Title | Vortex arrays for sinh-Poisson equation of two-dimensional fluids: Equilibria and stability |
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Authors | |
Keywords | Physics |
Issue Date | 2004 |
Publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf |
Citation | Physics of Fluids, 2004, v. 16 n. 9, p. 3296-3305 How to Cite? |
Abstract | The sinh-Poisson equation describes a stream function configuration of a stationary two-dimensional (2D) Euler flow. We study two classes of its exact solutions for doubly periodic domains (or doubly periodic vortex arrays in the plane). Both types contain vortex dipoles of different configurations, an elongated "cat-eye" pattern, and a "diagonal" (symmetric) configuration. We derive two new solutions, one for each class. The first one is a generalization of the Mallier-Maslowe vortices, while the second one consists of two corotating vortices in a square cell. Next, we examine the dynamic stability of such vortex dipoles to initial perturbations, by numerical simulations of the 2D Euler flows on periodic domains. One typical member from each class is chosen for analysis. The diagonally symmetric equilibrium maintains stability for all (even strong) perturbations, whereas the cat-eye pattern relaxes to a more stable dipole of the diagonal type. © 2004 American Institute of Physics. |
Persistent Identifier | http://hdl.handle.net/10722/43069 |
ISSN | 2023 Impact Factor: 4.1 2023 SCImago Journal Rankings: 1.050 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Gurarie, D | en_HK |
dc.contributor.author | Chow, KW | en_HK |
dc.date.accessioned | 2007-03-23T04:38:05Z | - |
dc.date.available | 2007-03-23T04:38:05Z | - |
dc.date.issued | 2004 | en_HK |
dc.identifier.citation | Physics of Fluids, 2004, v. 16 n. 9, p. 3296-3305 | - |
dc.identifier.issn | 1070-6631 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/43069 | - |
dc.description.abstract | The sinh-Poisson equation describes a stream function configuration of a stationary two-dimensional (2D) Euler flow. We study two classes of its exact solutions for doubly periodic domains (or doubly periodic vortex arrays in the plane). Both types contain vortex dipoles of different configurations, an elongated "cat-eye" pattern, and a "diagonal" (symmetric) configuration. We derive two new solutions, one for each class. The first one is a generalization of the Mallier-Maslowe vortices, while the second one consists of two corotating vortices in a square cell. Next, we examine the dynamic stability of such vortex dipoles to initial perturbations, by numerical simulations of the 2D Euler flows on periodic domains. One typical member from each class is chosen for analysis. The diagonally symmetric equilibrium maintains stability for all (even strong) perturbations, whereas the cat-eye pattern relaxes to a more stable dipole of the diagonal type. © 2004 American Institute of Physics. | en_HK |
dc.format.extent | 1172861 bytes | - |
dc.format.extent | 26624 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/msword | - |
dc.language | eng | en_HK |
dc.publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf | en_HK |
dc.relation.ispartof | Physics of Fluids | en_HK |
dc.rights | Copyright 2004 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Physics of Fluids, 2004, v. 16 n. 9, p. 3296-3305 and may be found at https://doi.org/10.1063/1.1772331 | - |
dc.subject | Physics | en_HK |
dc.title | Vortex arrays for sinh-Poisson equation of two-dimensional fluids: Equilibria and stability | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1070-6631&volume=16&issue=9&spage=3296&epage=3305&date=2004&atitle=Vortex+arrays+for+sinh-Poisson+equation+of+two-dimensional+fluids:+Equilibria+and+stability | en_HK |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_HK |
dc.identifier.authority | Chow, KW=rp00112 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1063/1.1772331 | en_HK |
dc.identifier.scopus | eid_2-s2.0-4544250686 | en_HK |
dc.identifier.hkuros | 98218 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-4544250686&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 16 | en_HK |
dc.identifier.issue | 9 | en_HK |
dc.identifier.spage | 3296 | en_HK |
dc.identifier.epage | 3305 | en_HK |
dc.identifier.isi | WOS:000223273600011 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Gurarie, D=6602858506 | en_HK |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
dc.identifier.issnl | 1070-6631 | - |