Premium
Gradient method of optimal control applied to the operation of a dam water gate
Author(s) -
Kawahara Mutsuto,
Shimada Yoshiro
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650190602
Subject(s) - computation , terminal (telecommunication) , finite element method , flood control , elevation (ballistics) , duration (music) , flood myth , extension (predicate logic) , mathematics , control theory (sociology) , mathematical optimization , computer science , control (management) , engineering , algorithm , structural engineering , geometry , physics , geography , telecommunications , archaeology , artificial intelligence , acoustics , programming language
Abstract An extension of the authors' previous methods is presented for the optimal control of flood propagation via a dam gate, based on a combination of the finite element and gradient methods. It is assumed in previous papers that the control duration is the same as the duration of the flood. However, the duration of the control does not necessarily coincide with that of the flood flow. To overcome this difficulty, the gradient method is applied to solve the free terminal time‐fixed terminal condition problem. It is shown that the water elevation can be controlled exactly the same as with the previously presented method. It is also shown that the computation can be terminated at a far shorter time than the terminal time of the flood.