Riemann wave description of erosional dam-break flows
This work examines the sudden erosional flow initiated by the release of a dam-break wave over a loose sediment bed. Extended shallow-water equations are formulated to describe the development of the surge. Accounting for bed material inertia, a transport layer of finite thickness is introduced, and...
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| Published in | Journal of fluid mechanics Vol. 461; pp. 183 - 228 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge, UK
Cambridge University Press
25.06.2002
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| Subjects | |
| Online Access | Get full text |
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| Abstract | This work examines the sudden erosional flow initiated by the release of a dam-break
wave over a loose sediment bed. Extended shallow-water equations are formulated to
describe the development of the surge. Accounting for bed material inertia, a transport
layer of finite thickness is introduced, and a sharp interface view of the
morphodynamic boundary is adopted. Approximations are sought for an intermediate range
of wave evolution, in which equilibration of the sediment load can be assumed
instantaneous but momentum loss due to bed friction has not yet been felt. The resulting
homogeneous hyperbolic equations are mathematically tractable using the Riemann
techniques of gas dynamics. Dam-break initial conditions give rise to self-similar flow
profiles. The wave structure features piecewise constant states, two smoothly varied
simple waves, and a special type of shock: an erosional bore forming at the forefront
of the wave. Profiles are constructed through a semi-analytical procedure, yielding
a geomorphic generalization of the Stoker solution for dam-break waves over rigid
bed. For most flow properties, the predictions of the theoretical treatment compare
favourably with experimental tests visualized using particle imaging techniques. |
|---|---|
| AbstractList | This work examines the sudden erosional flow initiated by the release of a dam-break
wave over a loose sediment bed. Extended shallow-water equations are formulated to
describe the development of the surge. Accounting for bed material inertia, a transport
layer of finite thickness is introduced, and a sharp interface view of the
morphodynamic boundary is adopted. Approximations are sought for an intermediate range
of wave evolution, in which equilibration of the sediment load can be assumed
instantaneous but momentum loss due to bed friction has not yet been felt. The resulting
homogeneous hyperbolic equations are mathematically tractable using the Riemann
techniques of gas dynamics. Dam-break initial conditions give rise to self-similar flow
profiles. The wave structure features piecewise constant states, two smoothly varied
simple waves, and a special type of shock: an erosional bore forming at the forefront
of the wave. Profiles are constructed through a semi-analytical procedure, yielding
a geomorphic generalization of the Stoker solution for dam-break waves over rigid
bed. For most flow properties, the predictions of the theoretical treatment compare
favourably with experimental tests visualized using particle imaging techniques. This work examines the sudden erosional flow initiated by the release of a dam-break wave over a loose sediment bed. Extended shallow-water equations are formulated to describe the development of the surge. Accounting for bed material inertia, a transport layer of finite thickness is introduced, and a sharp interface view of the morphodynamic boundary is adopted. Approximations are sought for an intermediate range of wave evolution, in which equilibration of the sediment load can be assumed instantaneous but momentum loss due to bed friction has not yet been felt. The resulting homogeneous hyperbolic equations are mathematically tractable using the Riemann techniques of gas dynamics. Dam-break initial conditions give rise to self-similar flow profiles. The wave structure features piecewise constant states, two smoothly varied simple waves, and a special type of shock: an erosional bore forming at the forefront of the wave. Profiles are constructed through a semi-analytical procedure, yielding a geomorphic generalization of the Stoker solution for dam-break waves over rigid bed. For most flow properties, the predictions of the theoretical treatment compare favourably with experimental tests visualized using particle imaging techniques. [PUBLICATION ABSTRACT] This work examines the sudden erosional flow initiated by the release of a dam-break wave over a loose sediment bed. Extended shallow-water equations are formulated to describe the development of the surge. Accounting for bed material inertia, a transport layer of finite thickness is introduced, and a sharp interface view of the morphodynamic boundary is adopted. Approximations are sought for an intermediate range of wave evolution, in which equilibration of the sediment load can be assumed instantaneous but momentum loss due to bed friction has not yet been felt. The resulting homogeneous hyperbolic equations are mathematically tractable using the Riemann techniques of gas dynamics. Dam-break initial conditions give rise to self-similar flow profiles. The wave structure features piecewise constant states, two smoothly varied simple waves, and a special type of shock: an erosional bore forming at the forefront of the wave. Profiles are constructed through a semi-analytical procedure, yielding a geomorphic generalization of the Stoker solution for dam-break waves over rigid bed. For most flow properties, the predictions of the theoretical treatment compare favourably with experimental tests visualized using particle imaging techniques. This work examines the sudden erosional flow initiated by the release of a dam-break wave over a loose sediment bed. Extended shallow-water equations are formulated to describe the development of the surge. Accounting for bed material inertia, a transport layer of finite thickness is introduced, and a sharp interface view of the morpho-dynamic boundary is adopted. Approximations are sought for an intermediate range of wave evolution, in which equilibration of the sediment load can be assumed instantaneous but momentum loss due to bed friction has not yet been felt. The resulting homogeneous hyperbolic equations are mathematically tractable using the Riemann techniques of gas dynamics. Dam-break initial conditions give rise to self-similar flow profiles. The wave structure features piecewise constant states, two smoothly varied simple waves, and a special type of shock: an erosional bore forming at the forefront of the wave. Profiles are constructed through a semi-analytical procedure, yielding a geomorphic generalization of the Stoker solution for dam-break waves over rigid bed. For most flow properties, the predictions of the theoretical treatment compare favourably with experimental tests visualized using particle imaging techniques. |
| Author | FRACCAROLLO, L. CAPART, H. |
| Author_xml | – sequence: 1 givenname: L. surname: FRACCAROLLO fullname: FRACCAROLLO, L. organization: Dipartimento di Costruzioni e Tecnologia Avanzata, Università di Messina, and Dipartimento di Ingegneria Civile e Ambientale, Università degli Studi di Trento, Italy – sequence: 2 givenname: H. surname: CAPART fullname: CAPART, H. organization: Department of Civil Engineering, Université catholique de Louvain, and Fonds National de la Recherche Scientifique, Belgium |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=13731073$$DView record in Pascal Francis |
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| CODEN | JFLSA7 |
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| ContentType | Journal Article |
| Copyright | 2002 Cambridge University Press 2002 INIST-CNRS Copyright Cambridge University Press Jun 2002 |
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| DOI | 10.1017/S0022112002008455 |
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| Keywords | Dam Sediment water interaction Approximation Wave propagation Riemann problem Granular material Rupture Theoretical study Free surface flow Experimental study Shallow-water equations Erosion |
| Language | English |
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| PublicationTitle | Journal of fluid mechanics |
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| Snippet | This work examines the sudden erosional flow initiated by the release of a dam-break
wave over a loose sediment bed. Extended shallow-water equations are... This work examines the sudden erosional flow initiated by the release of a dam-break wave over a loose sediment bed. Extended shallow-water equations are... |
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| StartPage | 183 |
| SubjectTerms | Applied sciences Bed load Buildings. Public works Dam failure Dams and subsidiary installations Exact sciences and technology Finite element analysis Flow profiles Hydraulic constructions Interfaces Sediment load Sediments Shallow water Soil erosion Wave power |
| Title | Riemann wave description of erosional dam-break flows |
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