The inviscid stability of a trailing line vortex

Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Duck, P. W. [verfasserIn] Foster, M. R.

Format:	Artikel
Sprache:	Englisch

Erschienen:	1980

Schlagwörter:	Vortex Finite Difference Mathematical Method Difference Method Finite Difference Method

Anmerkung:	© Birkhäuser-Verlag 1980

Übergeordnetes Werk:	Enthalten in: Zeitschrift für angewandte Mathematik und Physik - Birkhäuser-Verlag, 1950, 31(1980), 4 vom: Juli, Seite 524-532
Übergeordnetes Werk:	volume:31 ; year:1980 ; number:4 ; month:07 ; pages:524-532

Links:	Volltext

DOI / URN:	10.1007/BF01590863

Katalog-ID:	OLC2069595129

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allfields	10.1007/BF01590863 doi (DE-627)OLC2069595129 (DE-He213)BF01590863-p DE-627 ger DE-627 rakwb eng 530 510 VZ Duck, P. W. verfasserin aut The inviscid stability of a trailing line vortex 1980 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser-Verlag 1980 Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods. Vortex Finite Difference Mathematical Method Difference Method Finite Difference Method Foster, M. R. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 31(1980), 4 vom: Juli, Seite 524-532 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:31 year:1980 number:4 month:07 pages:524-532 https://doi.org/10.1007/BF01590863 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4700 AR 31 1980 4 07 524-532
spelling	10.1007/BF01590863 doi (DE-627)OLC2069595129 (DE-He213)BF01590863-p DE-627 ger DE-627 rakwb eng 530 510 VZ Duck, P. W. verfasserin aut The inviscid stability of a trailing line vortex 1980 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser-Verlag 1980 Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods. Vortex Finite Difference Mathematical Method Difference Method Finite Difference Method Foster, M. R. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 31(1980), 4 vom: Juli, Seite 524-532 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:31 year:1980 number:4 month:07 pages:524-532 https://doi.org/10.1007/BF01590863 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4700 AR 31 1980 4 07 524-532
allfields_unstemmed	10.1007/BF01590863 doi (DE-627)OLC2069595129 (DE-He213)BF01590863-p DE-627 ger DE-627 rakwb eng 530 510 VZ Duck, P. W. verfasserin aut The inviscid stability of a trailing line vortex 1980 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser-Verlag 1980 Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods. Vortex Finite Difference Mathematical Method Difference Method Finite Difference Method Foster, M. R. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 31(1980), 4 vom: Juli, Seite 524-532 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:31 year:1980 number:4 month:07 pages:524-532 https://doi.org/10.1007/BF01590863 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4700 AR 31 1980 4 07 524-532
allfieldsGer	10.1007/BF01590863 doi (DE-627)OLC2069595129 (DE-He213)BF01590863-p DE-627 ger DE-627 rakwb eng 530 510 VZ Duck, P. W. verfasserin aut The inviscid stability of a trailing line vortex 1980 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser-Verlag 1980 Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods. Vortex Finite Difference Mathematical Method Difference Method Finite Difference Method Foster, M. R. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 31(1980), 4 vom: Juli, Seite 524-532 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:31 year:1980 number:4 month:07 pages:524-532 https://doi.org/10.1007/BF01590863 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4700 AR 31 1980 4 07 524-532
allfieldsSound	10.1007/BF01590863 doi (DE-627)OLC2069595129 (DE-He213)BF01590863-p DE-627 ger DE-627 rakwb eng 530 510 VZ Duck, P. W. verfasserin aut The inviscid stability of a trailing line vortex 1980 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser-Verlag 1980 Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods. Vortex Finite Difference Mathematical Method Difference Method Finite Difference Method Foster, M. R. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 31(1980), 4 vom: Juli, Seite 524-532 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:31 year:1980 number:4 month:07 pages:524-532 https://doi.org/10.1007/BF01590863 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4700 AR 31 1980 4 07 524-532
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source	Enthalten in Zeitschrift für angewandte Mathematik und Physik 31(1980), 4 vom: Juli, Seite 524-532 volume:31 year:1980 number:4 month:07 pages:524-532
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topic_facet	Vortex Finite Difference Mathematical Method Difference Method Finite Difference Method
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author	Duck, P. W.
spellingShingle	Duck, P. W. ddc 530 misc Vortex misc Finite Difference misc Mathematical Method misc Difference Method misc Finite Difference Method The inviscid stability of a trailing line vortex
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topic_title	530 510 VZ The inviscid stability of a trailing line vortex Vortex Finite Difference Mathematical Method Difference Method Finite Difference Method
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title	The inviscid stability of a trailing line vortex
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title_full	The inviscid stability of a trailing line vortex
author_sort	Duck, P. W.
journal	Zeitschrift für angewandte Mathematik und Physik
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author_browse	Duck, P. W. Foster, M. R.
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doi_str_mv	10.1007/BF01590863
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title_sort	the inviscid stability of a trailing line vortex
title_auth	The inviscid stability of a trailing line vortex
abstract	Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods. © Birkhäuser-Verlag 1980
abstractGer	Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods. © Birkhäuser-Verlag 1980
abstract_unstemmed	Summary A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods. © Birkhäuser-Verlag 1980
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title_short	The inviscid stability of a trailing line vortex
url	https://doi.org/10.1007/BF01590863
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