Skip to main content
Top

2018 | OriginalPaper | Chapter

7. Mathematical Models of Riverbed Evolution

Author : Aronne Armanini

Published in: Principles of River Hydraulics

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Mobile-bed mathematical models are powerful complex tools, suitable to analyze the condition of a river under some hydrological and geometrical assumptions and to simulate their spatial and temporal evolution.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference A. Armanini, Variation of bed and transport mean diameter in non-equilibrium conditions. Fluvial hydraulics of mountain regions. Lecture Notes on Earth Sciences, vol. 34. pp. 459–468, 1989 A. Armanini, Variation of bed and transport mean diameter in non-equilibrium conditions. Fluvial hydraulics of mountain regions. Lecture Notes on Earth Sciences, vol. 34. pp. 459–468, 1989
go back to reference A. Armanini, Non-uniform sediment transport: dynamics of the active layer. J. Hydraul. Res. 33(5), 611–622 (1995)CrossRef A. Armanini, Non-uniform sediment transport: dynamics of the active layer. J. Hydraul. Res. 33(5), 611–622 (1995)CrossRef
go back to reference A. Armanini, Hydraulics of the natural systems: general lecture on theme A, in Proceedings of the Congress XXVII Italian Congress of Hydraulics and Hydraulic Constructions, volume 5. Local Organizing Committee of the XXVII Italian Congress, Ed. Bios Cosenza Italy, 2002 A. Armanini, Hydraulics of the natural systems: general lecture on theme A, in Proceedings of the Congress XXVII Italian Congress of Hydraulics and Hydraulic Constructions, volume 5. Local Organizing Committee of the XXVII Italian Congress, Ed. Bios Cosenza Italy, 2002
go back to reference A. Armanini, G. Di Silvio, Sudden morphological modifications along mountain river simulated by mathematical model, in 3rd Congress of the APD of IAHR, Bandung, Indonesia, 1982 A. Armanini, G. Di Silvio, Sudden morphological modifications along mountain river simulated by mathematical model, in 3rd Congress of the APD of IAHR, Bandung, Indonesia, 1982
go back to reference A. Armanini, G. Di Silvio, A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions. J. Hydraul. Res. 26(3), 275–292 (1988)CrossRef A. Armanini, G. Di Silvio, A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions. J. Hydraul. Res. 26(3), 275–292 (1988)CrossRef
go back to reference A. Armanini, G. Di Silvio, On the coexistence of bedload and suspended transport for a uniform grainsize material, in Proceedings of the Symposium on Sediment Transport Modeling- New Orleans (ASCE, 1989), pp. 581–587 A. Armanini, G. Di Silvio, On the coexistence of bedload and suspended transport for a uniform grainsize material, in Proceedings of the Symposium on Sediment Transport Modeling- New Orleans (ASCE, 1989), pp. 581–587
go back to reference C.S. Campbell, Rapid granular flows. Ann. Rev. Fluid Mech. 22(1), 57–90 (1990)CrossRef C.S. Campbell, Rapid granular flows. Ann. Rev. Fluid Mech. 22(1), 57–90 (1990)CrossRef
go back to reference M. de Vries, Consideration about non-steady bedload transport in open channels, paper presented at 11th congress (Int. Assoc. of Hydraul. Res, St. Petersburg, Russia, 1965) M. de Vries, Consideration about non-steady bedload transport in open channels, paper presented at 11th congress (Int. Assoc. of Hydraul. Res, St. Petersburg, Russia, 1965)
go back to reference G. Di Silvio, Sediment exchange between stream and bottom: a four layer model. Mitteilungen der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie an der Eidgenössischen Technischen Hochschule Zürich 117, 163–191 (1992) G. Di Silvio, Sediment exchange between stream and bottom: a four layer model. Mitteilungen der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie an der Eidgenössischen Technischen Hochschule Zürich 117, 163–191 (1992)
go back to reference D.A. Drew, Mathematical modelling of two-phase flow. Ann. Rev. Fluid Mech. 15, 261–291 (1983)CrossRef D.A. Drew, Mathematical modelling of two-phase flow. Ann. Rev. Fluid Mech. 15, 261–291 (1983)CrossRef
go back to reference F.M. Exner, Über die Wechselwirkung zwischen Wasser und Geschiebe in Flüssen. Akad. der Wiss in Wien, Math-Naturwissenschafliche Klasse, Sitzungsberichte, Abt IIa, 134, 165–203 (1925) F.M. Exner, Über die Wechselwirkung zwischen Wasser und Geschiebe in Flüssen. Akad. der Wiss in Wien, Math-Naturwissenschafliche Klasse, Sitzungsberichte, Abt IIa, 134, 165–203 (1925)
go back to reference R. Galappatti, A depth integrated model for suspended transport. Technical Report common in HDR 7, Delft University of Technology, 1983 R. Galappatti, A depth integrated model for suspended transport. Technical Report common in HDR 7, Delft University of Technology, 1983
go back to reference M. Hirano, River-bed degradation with armoring, in Proceedings of the Japan Society of Civil Engineers, vol. 1971 (Japan Society of Civil Engineers, 1971), pp. 55–65 M. Hirano, River-bed degradation with armoring, in Proceedings of the Japan Society of Civil Engineers, vol. 1971 (Japan Society of Civil Engineers, 1971), pp. 55–65
go back to reference A.J. Odgaard, River-meander model. I: development. J. Hydraul. Eng. 115(11), 1433–1450 (1989)CrossRef A.J. Odgaard, River-meander model. I: development. J. Hydraul. Eng. 115(11), 1433–1450 (1989)CrossRef
go back to reference G. Parker, Discussion of: lateral bedload transport on side slopes, by S. Ikeda (november, 1982). J. Hydraul. Eng. 110(2), 197–199 (1984) G. Parker, Discussion of: lateral bedload transport on side slopes, by S. Ikeda (november, 1982). J. Hydraul. Eng. 110(2), 197–199 (1984)
go back to reference J.S. Ribberink, Mathematical Modelling of One-dimensional Morphological Changes in Rivers with Non-uniform Sediment (Delft University of Technology, Faculty of Civil Engineering, 1987) J.S. Ribberink, Mathematical Modelling of One-dimensional Morphological Changes in Rivers with Non-uniform Sediment (Delft University of Technology, Faculty of Civil Engineering, 1987)
go back to reference G. Rosatti, L. Fraccarollo, A. Armanini, Behaviour of small perturbations in 1d mobile-bed models. River Flow, 67–73 (2004) G. Rosatti, L. Fraccarollo, A. Armanini, Behaviour of small perturbations in 1d mobile-bed models. River Flow, 67–73 (2004)
go back to reference I.L. Rozovskii, Flow of Water in Bends of Open Channels (Academy of Sciences of the Ukrainian SSR, 1957) I.L. Rozovskii, Flow of Water in Bends of Open Channels (Academy of Sciences of the Ukrainian SSR, 1957)
go back to reference J. Sieben, Modelling of Hydraulics and Morphology in Mountain Rivers (Delft University of Technology, TU Delft, 1997) J. Sieben, Modelling of Hydraulics and Morphology in Mountain Rivers (Delft University of Technology, TU Delft, 1997)
go back to reference E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics: a Practical Introduction (Springer Science & Business Media, 2013) E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics: a Practical Introduction (Springer Science & Business Media, 2013)
go back to reference C. Vreugdenhil, M. De Vries, Analytical approaches to non-steady bedload transport. Res. Rep. (S 78) (1973) C. Vreugdenhil, M. De Vries, Analytical approaches to non-steady bedload transport. Res. Rep. (S 78) (1973)
Metadata
Title
Mathematical Models of Riverbed Evolution
Author
Aronne Armanini
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-68101-6_7