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Fishway Optimization Revisited

  • Lino J. Alvarez-Vázquez
  • Aurea Martínez
  • Joaquim J. Júdice
  • Carmen Rodríguez
  • Miguel E. Vázquez-Méndez
  • Miguel A. Vilar
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)

Abstract

River fishways are hydraulic structures enabling fish to overcome stream obstructions (for instance, dams in hydroelectric power plants). This paper presents a combination of mathematical modelling and optimal control theory in order to improve the optimal shape design of a fishway. The problem can be formulated within the framework of the optimal control of partial differential equations, approximated by a discrete optimization problem, and solved by using a gradient-type method (the Spectral Projected-Gradient algorithm). Numerical results are shown for a standard real-world situation.

Keywords

Horizontal Velocity Optimal Shape Water Velocity Shallow Water Equation Recirculation Region 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Alvarez-Vázquez, L.J., Martínez, A., Vázquez-Méndez, M.E., Vilar, M.A.: An optimal shape problem related to the realistic design of river fishways, Ecological Eng. 32, 293–300 (2008)Google Scholar
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    Alvarez-Vázquez, L.J., Martínez, A., Vázquez-Méndez, M.E., Vilar, M.A.: Vertical slot fishways: modeling and optimal management, J. Comput. Appl. Math. 218, 395–403 (2008)Google Scholar
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    Clay, C.H.: Design of fishways and other fish facilities. CRC Press, Boca Raton (1995)Google Scholar
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    Puertas, J., Pena, L., Teijeiro, T.: Experimental approach to the hydraulics of vertical slot fishways, J. Hydraul. Eng. 130, 10–23 (2004)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Lino J. Alvarez-Vázquez
    • 1
  • Aurea Martínez
    • 1
  • Joaquim J. Júdice
    • 2
  • Carmen Rodríguez
    • 3
  • Miguel E. Vázquez-Méndez
    • 4
  • Miguel A. Vilar
    • 4
  1. 1.Departamento de Matemática Aplicada II, ETSI TelecomunicaciónUniversidade de VigoVigoSpain
  2. 2.Departamento de MatemáticaUniversidade de Coimbra, and Instituto de TelecomunicaçõesCoimbraPortugal
  3. 3.Departamento de Matemática Aplicada, Facultade de MatemáticasUniversidade de Santiago de CompostelaSantiagoSpain
  4. 4.Departamento de Matemática Aplicada, Escola Politécnica SuperiorUniversidade de Santiago de CompostelaLugoSpain

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