Fishway Optimization Revisited
Lino J. Alvarez-Vázquez, Aurea Martínez, Joaquim J. Júdice, Carmen Rodríguez,
Miguel E. Vázquez-Méndez and Miguel A. Vilar
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.