Non-uniqueness of solutions in asymptotically self-similar shock reflections
Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner...
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| Autor*in: |
Lau-Chapdelaine, S. S.-M. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Shock waves - Springer Berlin Heidelberg, 1991, 23(2013), 6 vom: 24. Sept., Seite 595-602 |
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| Übergeordnetes Werk: |
volume:23 ; year:2013 ; number:6 ; day:24 ; month:09 ; pages:595-602 |
| Links: |
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| DOI / URN: |
10.1007/s00193-013-0469-0 |
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OLC2057897826 |
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| 520 | |a Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. | ||
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10.1007/s00193-013-0469-0 doi (DE-627)OLC2057897826 (DE-He213)s00193-013-0469-0-p DE-627 ger DE-627 rakwb eng 530 VZ Lau-Chapdelaine, S. S.-M. verfasserin aut Non-uniqueness of solutions in asymptotically self-similar shock reflections 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. Shock wave Reflection Pseudosteady Unsteady Radulescu, M. I. aut Enthalten in Shock waves Springer Berlin Heidelberg, 1991 23(2013), 6 vom: 24. Sept., Seite 595-602 (DE-627)130966657 (DE-600)1068310-0 (DE-576)025185977 0938-1287 nnns volume:23 year:2013 number:6 day:24 month:09 pages:595-602 https://doi.org/10.1007/s00193-013-0469-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4700 AR 23 2013 6 24 09 595-602 |
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10.1007/s00193-013-0469-0 doi (DE-627)OLC2057897826 (DE-He213)s00193-013-0469-0-p DE-627 ger DE-627 rakwb eng 530 VZ Lau-Chapdelaine, S. S.-M. verfasserin aut Non-uniqueness of solutions in asymptotically self-similar shock reflections 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. Shock wave Reflection Pseudosteady Unsteady Radulescu, M. I. aut Enthalten in Shock waves Springer Berlin Heidelberg, 1991 23(2013), 6 vom: 24. Sept., Seite 595-602 (DE-627)130966657 (DE-600)1068310-0 (DE-576)025185977 0938-1287 nnns volume:23 year:2013 number:6 day:24 month:09 pages:595-602 https://doi.org/10.1007/s00193-013-0469-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4700 AR 23 2013 6 24 09 595-602 |
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10.1007/s00193-013-0469-0 doi (DE-627)OLC2057897826 (DE-He213)s00193-013-0469-0-p DE-627 ger DE-627 rakwb eng 530 VZ Lau-Chapdelaine, S. S.-M. verfasserin aut Non-uniqueness of solutions in asymptotically self-similar shock reflections 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. Shock wave Reflection Pseudosteady Unsteady Radulescu, M. I. aut Enthalten in Shock waves Springer Berlin Heidelberg, 1991 23(2013), 6 vom: 24. Sept., Seite 595-602 (DE-627)130966657 (DE-600)1068310-0 (DE-576)025185977 0938-1287 nnns volume:23 year:2013 number:6 day:24 month:09 pages:595-602 https://doi.org/10.1007/s00193-013-0469-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4700 AR 23 2013 6 24 09 595-602 |
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10.1007/s00193-013-0469-0 doi (DE-627)OLC2057897826 (DE-He213)s00193-013-0469-0-p DE-627 ger DE-627 rakwb eng 530 VZ Lau-Chapdelaine, S. S.-M. verfasserin aut Non-uniqueness of solutions in asymptotically self-similar shock reflections 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. Shock wave Reflection Pseudosteady Unsteady Radulescu, M. I. aut Enthalten in Shock waves Springer Berlin Heidelberg, 1991 23(2013), 6 vom: 24. Sept., Seite 595-602 (DE-627)130966657 (DE-600)1068310-0 (DE-576)025185977 0938-1287 nnns volume:23 year:2013 number:6 day:24 month:09 pages:595-602 https://doi.org/10.1007/s00193-013-0469-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4700 AR 23 2013 6 24 09 595-602 |
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10.1007/s00193-013-0469-0 doi (DE-627)OLC2057897826 (DE-He213)s00193-013-0469-0-p DE-627 ger DE-627 rakwb eng 530 VZ Lau-Chapdelaine, S. S.-M. verfasserin aut Non-uniqueness of solutions in asymptotically self-similar shock reflections 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. Shock wave Reflection Pseudosteady Unsteady Radulescu, M. I. aut Enthalten in Shock waves Springer Berlin Heidelberg, 1991 23(2013), 6 vom: 24. Sept., Seite 595-602 (DE-627)130966657 (DE-600)1068310-0 (DE-576)025185977 0938-1287 nnns volume:23 year:2013 number:6 day:24 month:09 pages:595-602 https://doi.org/10.1007/s00193-013-0469-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4700 AR 23 2013 6 24 09 595-602 |
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Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. © Springer-Verlag Berlin Heidelberg 2013 |
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Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. © Springer-Verlag Berlin Heidelberg 2013 |
| abstract_unstemmed |
Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$. © Springer-Verlag Berlin Heidelberg 2013 |
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| doi_str |
10.1007/s00193-013-0469-0 |
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S.-M.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Non-uniqueness of solutions in asymptotically self-similar shock reflections</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag Berlin Heidelberg 2013</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow “remembers” how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $$M=6.6$$ and an isentropic exponent $$\gamma =1.2$$ changes from regular to Mach reflection between $$44^\circ $$ and $$45^\circ $$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $$57^\circ $$ and $$58^\circ $$.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shock wave</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Reflection</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Pseudosteady</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Unsteady</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Radulescu, M. 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