Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution
The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlman...
Ausführliche Beschreibung
Autor*in: |
Kidanemariam, Aman G [verfasserIn] |
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Artikel |
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Englisch |
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2017 |
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Enthalten in: Journal of fluid mechanics - Cambridge [u.a.] : Cambridge Univ. Press, 1956, (2017) |
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Übergeordnetes Werk: |
year:2017 |
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DOI / URN: |
10.1017/jfm.2017.147 |
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OLC1992417806 |
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520 | |a The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). | ||
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10.1017/jfm.2017.147 doi PQ20170901 (DE-627)OLC1992417806 (DE-599)GBVOLC1992417806 (PRQ)a741-1037e1a2ea8a8d5ef4bfb4b4e468991c050d87d97165be6b9883e8eb16c4a8f20 (KEY)0059670120170000000000000000formationofsedimentpatternsinchannelflowminimaluns DE-627 ger DE-627 rakwb eng 530 DNB Kidanemariam, Aman G verfasserin aut Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). Physics Fluid Dynamics Uhlmann, Markus oth Enthalten in Journal of fluid mechanics Cambridge [u.a.] : Cambridge Univ. Press, 1956 (2017) (DE-627)12954647X (DE-600)218334-1 (DE-576)014996871 0022-1120 nnns year:2017 http://dx.doi.org/10.1017/jfm.2017.147 Volltext http://arxiv.org/abs/1702.06648 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_47 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2027 GBV_ILN_2192 GBV_ILN_4046 GBV_ILN_4313 AR 2017 |
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10.1017/jfm.2017.147 doi PQ20170901 (DE-627)OLC1992417806 (DE-599)GBVOLC1992417806 (PRQ)a741-1037e1a2ea8a8d5ef4bfb4b4e468991c050d87d97165be6b9883e8eb16c4a8f20 (KEY)0059670120170000000000000000formationofsedimentpatternsinchannelflowminimaluns DE-627 ger DE-627 rakwb eng 530 DNB Kidanemariam, Aman G verfasserin aut Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). Physics Fluid Dynamics Uhlmann, Markus oth Enthalten in Journal of fluid mechanics Cambridge [u.a.] : Cambridge Univ. Press, 1956 (2017) (DE-627)12954647X (DE-600)218334-1 (DE-576)014996871 0022-1120 nnns year:2017 http://dx.doi.org/10.1017/jfm.2017.147 Volltext http://arxiv.org/abs/1702.06648 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_47 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2027 GBV_ILN_2192 GBV_ILN_4046 GBV_ILN_4313 AR 2017 |
allfields_unstemmed |
10.1017/jfm.2017.147 doi PQ20170901 (DE-627)OLC1992417806 (DE-599)GBVOLC1992417806 (PRQ)a741-1037e1a2ea8a8d5ef4bfb4b4e468991c050d87d97165be6b9883e8eb16c4a8f20 (KEY)0059670120170000000000000000formationofsedimentpatternsinchannelflowminimaluns DE-627 ger DE-627 rakwb eng 530 DNB Kidanemariam, Aman G verfasserin aut Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). Physics Fluid Dynamics Uhlmann, Markus oth Enthalten in Journal of fluid mechanics Cambridge [u.a.] : Cambridge Univ. Press, 1956 (2017) (DE-627)12954647X (DE-600)218334-1 (DE-576)014996871 0022-1120 nnns year:2017 http://dx.doi.org/10.1017/jfm.2017.147 Volltext http://arxiv.org/abs/1702.06648 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_47 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2027 GBV_ILN_2192 GBV_ILN_4046 GBV_ILN_4313 AR 2017 |
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10.1017/jfm.2017.147 doi PQ20170901 (DE-627)OLC1992417806 (DE-599)GBVOLC1992417806 (PRQ)a741-1037e1a2ea8a8d5ef4bfb4b4e468991c050d87d97165be6b9883e8eb16c4a8f20 (KEY)0059670120170000000000000000formationofsedimentpatternsinchannelflowminimaluns DE-627 ger DE-627 rakwb eng 530 DNB Kidanemariam, Aman G verfasserin aut Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). Physics Fluid Dynamics Uhlmann, Markus oth Enthalten in Journal of fluid mechanics Cambridge [u.a.] : Cambridge Univ. Press, 1956 (2017) (DE-627)12954647X (DE-600)218334-1 (DE-576)014996871 0022-1120 nnns year:2017 http://dx.doi.org/10.1017/jfm.2017.147 Volltext http://arxiv.org/abs/1702.06648 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_47 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2027 GBV_ILN_2192 GBV_ILN_4046 GBV_ILN_4313 AR 2017 |
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10.1017/jfm.2017.147 doi PQ20170901 (DE-627)OLC1992417806 (DE-599)GBVOLC1992417806 (PRQ)a741-1037e1a2ea8a8d5ef4bfb4b4e468991c050d87d97165be6b9883e8eb16c4a8f20 (KEY)0059670120170000000000000000formationofsedimentpatternsinchannelflowminimaluns DE-627 ger DE-627 rakwb eng 530 DNB Kidanemariam, Aman G verfasserin aut Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). Physics Fluid Dynamics Uhlmann, Markus oth Enthalten in Journal of fluid mechanics Cambridge [u.a.] : Cambridge Univ. Press, 1956 (2017) (DE-627)12954647X (DE-600)218334-1 (DE-576)014996871 0022-1120 nnns year:2017 http://dx.doi.org/10.1017/jfm.2017.147 Volltext http://arxiv.org/abs/1702.06648 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_47 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2027 GBV_ILN_2192 GBV_ILN_4046 GBV_ILN_4313 AR 2017 |
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Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution |
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title_full |
Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution |
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Kidanemariam, Aman G |
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10.1017/jfm.2017.147 |
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title_sort |
formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution |
title_auth |
Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution |
abstract |
The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). |
abstractGer |
The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). |
abstract_unstemmed |
The phenomenon of sediment pattern formation in a channel flow is numerically investigated by performing simulations which resolve all the relevant scales of the problem. The numerical approach employed and the flow configuration considered is identical to our previous study (Kidanemariam and Uhlmann J. Fluid Mech., vol. 750, 2014, R2), the only difference being the length of the computational domain. By successively reducing the streamwise length, the minimum box dimension which accommodates an unstable sediment bed is revealed, thus determining the lower threshold of the unstable modes. For the considered parameter point, the cutoff length for pattern formation lies in the range 75-100 particle diameters (3-4 times the clear fluid height). We also simulate the flow in a very long streamwise box with a size of 48 times the clear fluid height (featuring over one million particles), accommodating approximately 11 initial ripple units with a wavelength of 100-110 particle diameters. The amplitude of the patterns exhibits two regimes of growth: an initial exponential regime, with a growth rate independent of the chosen domain size, and a subsequent non-linear regime which is strongly constrained by the domain length. In the small domain cases, after the initial exponential regime, the ripples evolve steadily maintaining their shape and migration velocity, at a mean wavelength equal to the length of the domain. The asymmetric ripple shape is characterized by a spectrum which exhibits a power-law decay over the first few dominant non-dispersive modes propagating at the mean dune migration velocity. The particle flowrate and the mean interface shear stress exhibited an increase with increasing ripple dimensions. Nevertheless, the relationship between the two was observed to be approximately described by the empirical power law formula for sediment transport by Wong & Parker (2006). |
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title_short |
Formation of sediment patterns in channel flow: minimal unstable systems and their temporal evolution |
url |
http://dx.doi.org/10.1017/jfm.2017.147 http://arxiv.org/abs/1702.06648 |
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up_date |
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