A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations
This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume schem...
Ausführliche Beschreibung
Autor*in: |
Creed, Maggie J [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2017 |
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Rechteinformationen: |
Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: International journal for numerical methods in fluids - Chichester : Wiley, 1981, 84(2017), 9, Seite 509-542 |
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Übergeordnetes Werk: |
volume:84 ; year:2017 ; number:9 ; pages:509-542 |
Links: |
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DOI / URN: |
10.1002/fld.4359 |
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Katalog-ID: |
OLC1994772093 |
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520 | |a This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. | ||
540 | |a Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. | ||
650 | 4 | |a bedload | |
650 | 4 | |a finite volume | |
650 | 4 | |a Riemann solver | |
650 | 4 | |a suspended sediment | |
650 | 4 | |a shallow water‐sediment equations | |
650 | 4 | |a fully‐coupled | |
650 | 4 | |a Flow | |
650 | 4 | |a Water depth | |
650 | 4 | |a Sediment gravity flows | |
650 | 4 | |a Dependent variables | |
650 | 4 | |a Hydrodynamics | |
650 | 4 | |a Copyrights | |
650 | 4 | |a Depth | |
650 | 4 | |a Water | |
650 | 4 | |a Models | |
650 | 4 | |a Fluid mechanics | |
650 | 4 | |a Computation | |
650 | 4 | |a Topography (geology) | |
650 | 4 | |a Computer simulation | |
650 | 4 | |a Conservation laws | |
650 | 4 | |a Dams | |
650 | 4 | |a Sediment transport | |
650 | 4 | |a Solutions | |
650 | 4 | |a Topography | |
650 | 4 | |a Suspended sediments | |
650 | 4 | |a Sensitivity | |
650 | 4 | |a Computational fluid dynamics | |
650 | 4 | |a Banks (topography) | |
650 | 4 | |a Mathematical models | |
650 | 4 | |a Equations | |
650 | 4 | |a Density | |
650 | 4 | |a Volume | |
650 | 4 | |a Bathymetry | |
650 | 4 | |a Sediments | |
650 | 4 | |a Methodology | |
650 | 4 | |a Bed load | |
650 | 4 | |a Shock | |
650 | 4 | |a Shallow water | |
650 | 4 | |a Transport | |
650 | 4 | |a Transportation models | |
650 | 4 | |a Discontinuity | |
650 | 4 | |a Fluid dynamics | |
650 | 4 | |a Conservation | |
650 | 4 | |a Reproduction | |
650 | 4 | |a Slopes (topography) | |
650 | 4 | |a Fluid flow | |
700 | 1 | |a Apostolidou, Ilektra‐Georgia |4 oth | |
700 | 1 | |a Taylor, Paul H |4 oth | |
700 | 1 | |a Borthwick, Alistair G.L |4 oth | |
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10.1002/fld.4359 doi PQ20170721 (DE-627)OLC1994772093 (DE-599)GBVOLC1994772093 (PRQ)p1559-119166ada410b694f086893cd2574584afe1753381f76e49e33ac423612607ac3 (KEY)0104703520170000084000900509finitevolumeshockcapturingsolverofthefullycoupleds DE-627 ger DE-627 rakwb eng 510 DE-600 50.33 bkl Creed, Maggie J verfasserin aut A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. bedload finite volume Riemann solver suspended sediment shallow water‐sediment equations fully‐coupled Flow Water depth Sediment gravity flows Dependent variables Hydrodynamics Copyrights Depth Water Models Fluid mechanics Computation Topography (geology) Computer simulation Conservation laws Dams Sediment transport Solutions Topography Suspended sediments Sensitivity Computational fluid dynamics Banks (topography) Mathematical models Equations Density Volume Bathymetry Sediments Methodology Bed load Shock Shallow water Transport Transportation models Discontinuity Fluid dynamics Conservation Reproduction Slopes (topography) Fluid flow Apostolidou, Ilektra‐Georgia oth Taylor, Paul H oth Borthwick, Alistair G.L oth Enthalten in International journal for numerical methods in fluids Chichester : Wiley, 1981 84(2017), 9, Seite 509-542 (DE-627)129619604 (DE-600)245720-9 (DE-576)015124541 0271-2091 nnns volume:84 year:2017 number:9 pages:509-542 http://dx.doi.org/10.1002/fld.4359 Volltext http://onlinelibrary.wiley.com/doi/10.1002/fld.4359/abstract https://search.proquest.com/docview/1910298122 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.33 AVZ AR 84 2017 9 509-542 |
spelling |
10.1002/fld.4359 doi PQ20170721 (DE-627)OLC1994772093 (DE-599)GBVOLC1994772093 (PRQ)p1559-119166ada410b694f086893cd2574584afe1753381f76e49e33ac423612607ac3 (KEY)0104703520170000084000900509finitevolumeshockcapturingsolverofthefullycoupleds DE-627 ger DE-627 rakwb eng 510 DE-600 50.33 bkl Creed, Maggie J verfasserin aut A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. bedload finite volume Riemann solver suspended sediment shallow water‐sediment equations fully‐coupled Flow Water depth Sediment gravity flows Dependent variables Hydrodynamics Copyrights Depth Water Models Fluid mechanics Computation Topography (geology) Computer simulation Conservation laws Dams Sediment transport Solutions Topography Suspended sediments Sensitivity Computational fluid dynamics Banks (topography) Mathematical models Equations Density Volume Bathymetry Sediments Methodology Bed load Shock Shallow water Transport Transportation models Discontinuity Fluid dynamics Conservation Reproduction Slopes (topography) Fluid flow Apostolidou, Ilektra‐Georgia oth Taylor, Paul H oth Borthwick, Alistair G.L oth Enthalten in International journal for numerical methods in fluids Chichester : Wiley, 1981 84(2017), 9, Seite 509-542 (DE-627)129619604 (DE-600)245720-9 (DE-576)015124541 0271-2091 nnns volume:84 year:2017 number:9 pages:509-542 http://dx.doi.org/10.1002/fld.4359 Volltext http://onlinelibrary.wiley.com/doi/10.1002/fld.4359/abstract https://search.proquest.com/docview/1910298122 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.33 AVZ AR 84 2017 9 509-542 |
allfields_unstemmed |
10.1002/fld.4359 doi PQ20170721 (DE-627)OLC1994772093 (DE-599)GBVOLC1994772093 (PRQ)p1559-119166ada410b694f086893cd2574584afe1753381f76e49e33ac423612607ac3 (KEY)0104703520170000084000900509finitevolumeshockcapturingsolverofthefullycoupleds DE-627 ger DE-627 rakwb eng 510 DE-600 50.33 bkl Creed, Maggie J verfasserin aut A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. bedload finite volume Riemann solver suspended sediment shallow water‐sediment equations fully‐coupled Flow Water depth Sediment gravity flows Dependent variables Hydrodynamics Copyrights Depth Water Models Fluid mechanics Computation Topography (geology) Computer simulation Conservation laws Dams Sediment transport Solutions Topography Suspended sediments Sensitivity Computational fluid dynamics Banks (topography) Mathematical models Equations Density Volume Bathymetry Sediments Methodology Bed load Shock Shallow water Transport Transportation models Discontinuity Fluid dynamics Conservation Reproduction Slopes (topography) Fluid flow Apostolidou, Ilektra‐Georgia oth Taylor, Paul H oth Borthwick, Alistair G.L oth Enthalten in International journal for numerical methods in fluids Chichester : Wiley, 1981 84(2017), 9, Seite 509-542 (DE-627)129619604 (DE-600)245720-9 (DE-576)015124541 0271-2091 nnns volume:84 year:2017 number:9 pages:509-542 http://dx.doi.org/10.1002/fld.4359 Volltext http://onlinelibrary.wiley.com/doi/10.1002/fld.4359/abstract https://search.proquest.com/docview/1910298122 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.33 AVZ AR 84 2017 9 509-542 |
allfieldsGer |
10.1002/fld.4359 doi PQ20170721 (DE-627)OLC1994772093 (DE-599)GBVOLC1994772093 (PRQ)p1559-119166ada410b694f086893cd2574584afe1753381f76e49e33ac423612607ac3 (KEY)0104703520170000084000900509finitevolumeshockcapturingsolverofthefullycoupleds DE-627 ger DE-627 rakwb eng 510 DE-600 50.33 bkl Creed, Maggie J verfasserin aut A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. bedload finite volume Riemann solver suspended sediment shallow water‐sediment equations fully‐coupled Flow Water depth Sediment gravity flows Dependent variables Hydrodynamics Copyrights Depth Water Models Fluid mechanics Computation Topography (geology) Computer simulation Conservation laws Dams Sediment transport Solutions Topography Suspended sediments Sensitivity Computational fluid dynamics Banks (topography) Mathematical models Equations Density Volume Bathymetry Sediments Methodology Bed load Shock Shallow water Transport Transportation models Discontinuity Fluid dynamics Conservation Reproduction Slopes (topography) Fluid flow Apostolidou, Ilektra‐Georgia oth Taylor, Paul H oth Borthwick, Alistair G.L oth Enthalten in International journal for numerical methods in fluids Chichester : Wiley, 1981 84(2017), 9, Seite 509-542 (DE-627)129619604 (DE-600)245720-9 (DE-576)015124541 0271-2091 nnns volume:84 year:2017 number:9 pages:509-542 http://dx.doi.org/10.1002/fld.4359 Volltext http://onlinelibrary.wiley.com/doi/10.1002/fld.4359/abstract https://search.proquest.com/docview/1910298122 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.33 AVZ AR 84 2017 9 509-542 |
allfieldsSound |
10.1002/fld.4359 doi PQ20170721 (DE-627)OLC1994772093 (DE-599)GBVOLC1994772093 (PRQ)p1559-119166ada410b694f086893cd2574584afe1753381f76e49e33ac423612607ac3 (KEY)0104703520170000084000900509finitevolumeshockcapturingsolverofthefullycoupleds DE-627 ger DE-627 rakwb eng 510 DE-600 50.33 bkl Creed, Maggie J verfasserin aut A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. bedload finite volume Riemann solver suspended sediment shallow water‐sediment equations fully‐coupled Flow Water depth Sediment gravity flows Dependent variables Hydrodynamics Copyrights Depth Water Models Fluid mechanics Computation Topography (geology) Computer simulation Conservation laws Dams Sediment transport Solutions Topography Suspended sediments Sensitivity Computational fluid dynamics Banks (topography) Mathematical models Equations Density Volume Bathymetry Sediments Methodology Bed load Shock Shallow water Transport Transportation models Discontinuity Fluid dynamics Conservation Reproduction Slopes (topography) Fluid flow Apostolidou, Ilektra‐Georgia oth Taylor, Paul H oth Borthwick, Alistair G.L oth Enthalten in International journal for numerical methods in fluids Chichester : Wiley, 1981 84(2017), 9, Seite 509-542 (DE-627)129619604 (DE-600)245720-9 (DE-576)015124541 0271-2091 nnns volume:84 year:2017 number:9 pages:509-542 http://dx.doi.org/10.1002/fld.4359 Volltext http://onlinelibrary.wiley.com/doi/10.1002/fld.4359/abstract https://search.proquest.com/docview/1910298122 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.33 AVZ AR 84 2017 9 509-542 |
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Creed, Maggie J |
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Creed, Maggie J ddc 510 bkl 50.33 misc bedload misc finite volume misc Riemann solver misc suspended sediment misc shallow water‐sediment equations misc fully‐coupled misc Flow misc Water depth misc Sediment gravity flows misc Dependent variables misc Hydrodynamics misc Copyrights misc Depth misc Water misc Models misc Fluid mechanics misc Computation misc Topography (geology) misc Computer simulation misc Conservation laws misc Dams misc Sediment transport misc Solutions misc Topography misc Suspended sediments misc Sensitivity misc Computational fluid dynamics misc Banks (topography) misc Mathematical models misc Equations misc Density misc Volume misc Bathymetry misc Sediments misc Methodology misc Bed load misc Shock misc Shallow water misc Transport misc Transportation models misc Discontinuity misc Fluid dynamics misc Conservation misc Reproduction misc Slopes (topography) misc Fluid flow A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations |
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510 DE-600 50.33 bkl A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations bedload finite volume Riemann solver suspended sediment shallow water‐sediment equations fully‐coupled Flow Water depth Sediment gravity flows Dependent variables Hydrodynamics Copyrights Depth Water Models Fluid mechanics Computation Topography (geology) Computer simulation Conservation laws Dams Sediment transport Solutions Topography Suspended sediments Sensitivity Computational fluid dynamics Banks (topography) Mathematical models Equations Density Volume Bathymetry Sediments Methodology Bed load Shock Shallow water Transport Transportation models Discontinuity Fluid dynamics Conservation Reproduction Slopes (topography) Fluid flow |
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ddc 510 bkl 50.33 misc bedload misc finite volume misc Riemann solver misc suspended sediment misc shallow water‐sediment equations misc fully‐coupled misc Flow misc Water depth misc Sediment gravity flows misc Dependent variables misc Hydrodynamics misc Copyrights misc Depth misc Water misc Models misc Fluid mechanics misc Computation misc Topography (geology) misc Computer simulation misc Conservation laws misc Dams misc Sediment transport misc Solutions misc Topography misc Suspended sediments misc Sensitivity misc Computational fluid dynamics misc Banks (topography) misc Mathematical models misc Equations misc Density misc Volume misc Bathymetry misc Sediments misc Methodology misc Bed load misc Shock misc Shallow water misc Transport misc Transportation models misc Discontinuity misc Fluid dynamics misc Conservation misc Reproduction misc Slopes (topography) misc Fluid flow |
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ddc 510 bkl 50.33 misc bedload misc finite volume misc Riemann solver misc suspended sediment misc shallow water‐sediment equations misc fully‐coupled misc Flow misc Water depth misc Sediment gravity flows misc Dependent variables misc Hydrodynamics misc Copyrights misc Depth misc Water misc Models misc Fluid mechanics misc Computation misc Topography (geology) misc Computer simulation misc Conservation laws misc Dams misc Sediment transport misc Solutions misc Topography misc Suspended sediments misc Sensitivity misc Computational fluid dynamics misc Banks (topography) misc Mathematical models misc Equations misc Density misc Volume misc Bathymetry misc Sediments misc Methodology misc Bed load misc Shock misc Shallow water misc Transport misc Transportation models misc Discontinuity misc Fluid dynamics misc Conservation misc Reproduction misc Slopes (topography) misc Fluid flow |
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ddc 510 bkl 50.33 misc bedload misc finite volume misc Riemann solver misc suspended sediment misc shallow water‐sediment equations misc fully‐coupled misc Flow misc Water depth misc Sediment gravity flows misc Dependent variables misc Hydrodynamics misc Copyrights misc Depth misc Water misc Models misc Fluid mechanics misc Computation misc Topography (geology) misc Computer simulation misc Conservation laws misc Dams misc Sediment transport misc Solutions misc Topography misc Suspended sediments misc Sensitivity misc Computational fluid dynamics misc Banks (topography) misc Mathematical models misc Equations misc Density misc Volume misc Bathymetry misc Sediments misc Methodology misc Bed load misc Shock misc Shallow water misc Transport misc Transportation models misc Discontinuity misc Fluid dynamics misc Conservation misc Reproduction misc Slopes (topography) misc Fluid flow |
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finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations |
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A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations |
abstract |
This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. |
abstractGer |
This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. |
abstract_unstemmed |
This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport. |
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A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC1994772093</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220216141557.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">170721s2017 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1002/fld.4359</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20170721</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC1994772093</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC1994772093</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)p1559-119166ada410b694f086893cd2574584afe1753381f76e49e33ac423612607ac3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0104703520170000084000900509finitevolumeshockcapturingsolverofthefullycoupleds</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">50.33</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Creed, Maggie J</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="2"><subfield code="a">A finite volume shock‐capturing solver of the fully coupled shallow water‐sediment equations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2017</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="520" ind1=" " ind2=" "><subfield code="a">This paper describes a numerical solver of well‐balanced, 2D depth‐averaged shallow water‐sediment equations. The equations permit variable horizontal fluid density and are designed to model water‐sediment flow over a mobile bed. A Godunov‐type, Harten–Lax–van Leer contact (HLLC) finite volume scheme is used to solve the fully coupled system of hyperbolic conservation laws that describe flow hydrodynamics, suspended sediment transport, bedload transport and bed morphological change. Dependent variables are specially selected to handle the presence of the variable density property in the mathematical formulation. The model is verified against analytical and semi‐analytical solutions for bedload transport and suspended sediment transport, respectively. The well‐balanced property of the equations is verified for a variable‐density dam break flow over discontinuous bathymetry. Simulations of an idealised dam‐break flow over an erodible bed are in excellent agreement with previously published results, validating the ability of the model to capture the complex interaction between rapidly varying flow and an erodible bed and validating the eigenstructure of the system of variable‐density governing equations. Flow hydrodynamics and final bed topography of a laboratory‐based 2D partial dam breach over a mobile bed are satisfactorily reproduced by the numerical model. Comparison of the final bed topographies, computed for two distinct sediment transport methods, highlights the sensitivity of shallow water‐sediment models to the choice of closure relationships. Copyright © 2016 John Wiley & Sons, Ltd. This paper describes an HLLC numerical Riemann solver of the fully coupled depth‐averaged shallow water‐sediment equations with variable mixture density and a mobile bed. Dependent variables are specially selected to preserve the variable density conservation property of the original mathematical formulation. The versatility of the model is demonstrated successfully by comparing numerical simulations against laboratory measurements of complicated dam break flows over erodible bed for both suspended sediment transport and bedload transport.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="a">Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">bedload</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">finite volume</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Riemann solver</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">suspended sediment</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">shallow water‐sediment equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">fully‐coupled</subfield></datafield><datafield tag="650" 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